Can someone Please answer this?

Gets brainliest and 30 points!!!!!!

Can Someone Please Answer This?Gets Brainliest And 30 Points!!!!!!

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Answer 1

I think the correct answer is 326


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I need this answer please

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Answer:

the y intercept is 1 so put a point there then move up 1 and to the right 3 and put a point then draw a line through the 2 points

Use properties of logarithms with the given approximations to evaluate the expression.
log 3≈ 0.477 and log 5≈ 0.699. Use one or both of these values to evaluate log 27.
log27=

Answers

The value of log(27) is 1.431.

What is logarithm?

The power to which a number must be raised in order to obtain other numbers is referred to as a logarithm. The easiest method to express large numbers is this way. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms can also be expressed as multiplication and division of logarithms.

We can use the property of logarithms that states that log a (b^c) = c log a (b) to evaluate log 27 using the given approximations:

log 27 = log (3³) = 3 log 3 ≈ 3(0.477) ≈ 1.431

Therefore, log 27 ≈ 1.431.

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A line with a slope of 1/3 passes through (-1,-2). Write the equation of the line in general form.

Answers

Answer:

I think it will be

y=1/3x+0

How to solve for x?????

Answers

The value of x using Pythagoras theorem to solve the diagram is 1.25 m.

What is pythagoras  theorem?

Pythagoras theorem states that the square of the hypotenus in a right angled triangle is equal to the sum of the of the two other sides.

To solve for x we use pythagoras theorem in the diagram below.

Formula:

a² = b²+c².......................... Equation 1

From the diagram,

c = 3 mb = x ma = (x+2) m

Substitute these values into equation 1 and solve for x

(x+2)² = x²+3²x²+4x+4 = x²+94x = 9-44x = 5x = 5/4x = 1.25 m

Hence, x is 1.25 m.

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A contestant draws a sequence of three cards, one question per card, and tries to answer the three questions. There are five cards with history questions, six cards with literature questions, and seven cards with science questions. Find the probability of each of the following. (Round your answers to four decimal places.) (a) the questions are history, literature, and science, in that order (b) all three are literature questions (c) the first is science, the second is history, and the third is science

Answers

(a) The probability of the questions being history, literature, and science, in that order, is 4.28%.

(b) The probability of all three cards being literature questions is 2.4%.

(c) 5%.

What is probability in cards?

Probability can be used to estimate the chances of drawing a certain card and can help players to decide which moves to make when playing card games.

(a) The probability of the questions being history, literature, and science, in that order, is 5/18 x 6/17 x 7/16 = 0.0428 or 4.28%.

To calculate this probability, we use the formula

P(A and B and C) = P(A) x P(B|A) x P(C|B and A).

The probability of the first card being a history card is 5/18, since there are five history cards out of 18 total cards.

The probability of the second card being a literature card, given that the first card is a history card, is 6/17, since there are six literature cards out of the remaining 17 cards.

The probability of the third card being a science card, given that the first two cards are history and literature, is 7/16, since there are seven science cards out of the remaining 16 cards.

(b) The probability of all three cards being literature questions is 6/18 x 5/17 x 4/16 = 0.024 or 2.4%.

To calculate this probability, we use the formula P(A and B and C) = P(A) x P(B|A) x P(C|B and A).

The probability of the first card being a literature card is 6/18, since there are six literature cards out of 18 total cards.

The probability of the second card being a literature card, given that the first card is a literature card, is 5/17, since there are five literature cards out of the remaining 17 cards.

The probability of the third card being a literature card, given that the first two cards are literature cards, is 4/16, since there are four literature cards out of the remaining 16 cards.

(c) The probability of the first card being a science card, the second being a history card, and the third being a science card is 7/18 x 5/17 x 7/16 = 0.05 or 5%.

To calculate this probability, we use the formula P(A and B and C) = P(A) x P(B|A) x P(C|B and A).

The probability of the first card being a science card is 7/18, since there are seven science cards out of 18 total cards.

The probability of the second card being a history card, given that the first card is a science card, is 5/17, since there are five history cards out of the remaining 17 cards.

The probability of the third card being a science card, given that the first two cards are science and history, is 7/16, since there are seven science cards out of the remaining 16 cards.

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|4x-4(x+1)|=4 Show solution on numberline

Answers

The equatiοn has nο sοlutiοn.

What is the equatiοn?

An equatiοn is defined as a mathematical statement in algebra that prοves the equality οf twο mathematical expressiοns. Fοr example, the fοrmula 3x + 5 = 14 cοnsists οf the twο equatiοns 3x + 5 and 14, which are separated by the wοrd "equal."

Here the given equatiοn is ,

=> |4x-4(x+1)|=4

Nοw simplifying the equatiοn then,

=> 4x-4(x+1)=± 4

=> 4x-4x-4=±4

=>-4=±4

Hence the given equatiοn has nο sοlutiοn.

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K
At a computer store, a customer is considering 8 different computers, 7 different monitors,
9 different printers and 2 different scanners. Assuming that each of the components is
compatible with one another and that one of each is to be selected, determine the number
of different computer systems possible.

Answers

there are 1,008 different computer systems possible, given the constraints provided.

what is constraints?

Constraints are limitations or conditions that must be satisfied in order to solve a problem or make a decision. In other words, constraints are rules or restrictions that define the boundaries within which a solution or decision must be made.

In the given question,

To determine the number of different computer systems possible, we need to multiply the number of choices for each component. This is based on the multiplication principle of counting, which states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things together.

So, for this problem, we have:

8 different choices for computers

7 different choices for monitors

9 different choices for printers

2 different choices for scanners

Using the multiplication principle, the total number of different computer systems possible is:

8 x 7 x 9 x 2 = 1,008

Therefore, there are 1,008 different computer systems possible, given the constraints provided.

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Sharon wants to switch from cable to satellite TV. She calls Great Vista Satellite to get a quote. After looking at her cable bill, the salesperson explains that they can provide the same 300 channels Sharon has for $0.20 less per channel. If she switches, her monthly satellite bill will come to $180.
Which equation can Sharon use to find c, the average amount the cable company charges per channel?

Answers

The equation that Sharon can use to find c is

                               300(c-0.20)= 180

The average amount the cable company charges per channel was $0.8.

What is equation?

An equation is a mathematical statement which can be constructed by two expressions connected by an sign which is called equal '=' sign to find out the value of unknown variable.

For example, 3x – 11 = 16 is an equation. Solving this equation, we get the value of x as x = 9.

Sharon wants to switch from cable to satellite TV. She calls Great Vista Satellite to get a quote. After looking at her cable bill, the salesperson explains that they can provide the same 300 channels Sharon has for $0.20 less per channel. If she switches, her monthly satellite bill will come to $180.

Let us take in previous case the bill was $c for one channel.

so for 300 channels it will be $300c.

If Sharon has for $0.20 less per channel

Then price per channel will be $(c-0.20)

For 300 channels it will be $300(c-0.20)

It equals to $180

so equating both values we get the  equation and the equation will be,

          300(c-0.20)= 180

The equation that Sharon can use to find c is

                               300(c-0.20)= 180

To find the average amount we will solve c from the equation.

                                  300(c-0.20)= 180

                                ⇒ c-0.20 = 180/300 [ dividing both sides by 300 we get]

                                 ⇒ c- 0.20 =0.6

                                  ⇒ c= 0.8 [ Adding both sides 0.20 we get]

 Hence, The average amount the cable company charges per channel was $0.8.  

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solve 3k-81ksquare=0

Answers

Answer:

k=0 or k=1/27

Step-by-step explanation:

3k-81k^2=0

3k(1-27k) =0

3k=0 or 1-27k=0

k=0 or -27k= -1

k= 1/27

NEED BY 15 mins !!!! Identify the leading coefficient of the polynomial!!!!

Answers

The leading coefficient is -1.

A boat is heading towards a lighthouse, whose beacon-light is 119 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
5°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 18°. Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.

Answers

Rounding to the nearest foot, the distance from point A to point B is approximately 182 feet.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.

Let's assume that the distance from point A to the lighthouse is x feet and the distance from point B to the lighthouse is y feet. Also, let's assume that the height of the boat's crew's eye level is h feet above the water.

From point A, we can use tangent function to find x:

tan(5°) = (119 + h) / x

From point B, we can use tangent function again to find y:

tan(18°) = (119 + h) / y

We want to find the distance between point A and point B, which is the difference between x and y:

distance AB = y - x

We need to eliminate h from these equations to solve for x and y. We can do this by solving for h in one equation and substituting it into the other equation:

h = x tan(5°) - 119

tan(18°) = (119 + x tan(5°) - 119) / y

tan(18°) = x tan(5°) / y

y = x tan(5°) / tan(18°)

distance AB = y - x = x (tan(5°) / tan(18°) - 1)

Now we can plug in the values and use a calculator to find the distance:

distance AB = x (tan(5°) / tan(18°) - 1)

distance AB = x (0.107 - 1)

distance AB = -0.893 x

Since the distance cannot be negative, we know that x must be greater than zero. Therefore, we can ignore the negative sign and solve for x:

x = distance AB / -0.893

Using a calculator, we get:

x ≈ 181.74 feet

Rounding to the nearest foot, the distance from point A to point B is approximately 182 feet.

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Lamont works at an electronics store where he receives a commission on his sales. He must choose between two plans for his pay structure for the next year.

For Plan A Lamont's monthly salary is $1,775 and he gets a 19% commission on his monthly sales. For Plan B his monthly salary is $2,100 and he gets a 7% commision on his monthly sales.

Use a system of equations to model Lamont's situation and choose the best response below.

If Lamont's sales are more than $2708.33, Plan A is a better plan because he earns more money in one month.


1. If Lamont's sales are $2708.33, he earns $2292.43 with Plan A.


2. If Lamont's sales are $2708.33, he earns $2290.63 with Plan B.


3. If Lamont's sales are more than $2708.33, Plan B is a better plan because he earns more money in one month.


4. If Lamont's sales are exactly $2,709.28, he earns the same amount of money with either plan.

Answers

The correct answer is option 2: if Lamont's sales are $2708.33, he earns $2290.63 with Plan B.

To determine which pay structure is better for Lamont, we need to compare the total amount of money he earns under each plan for different levels of sales. We can set up a system of equations to represent the two plans:

Plan A:

Total Pay = 1775 + 0.19S

where S is Lamont's total monthly sales

Plan B:

Total Pay = 2100 + 0.07S

To find the point at which the two plans yield the same result, we can set the two equations equal to each other and solve for S:

1775 + 0.19S = 2100 + 0.07S

0.12S = 325

S = 2708.33

If Lamont's monthly sales are exactly $2,708.33, then he earns the same amount of money under both plans - this is the break-even point.

However, for sales above this amount, Plan A becomes the better option as the commission rate is higher. Option 1 is incorrect because it assumes that Plan A is always better, whereas we know from the calculations that this is not the case. Option 3 is correct for sales above $2,708.33, but not for sales below this amount. Option 4 is also incorrect as we know that Plan B yields a slightly higher payout for sales exactly equal to the break-even point.

Therefore, option 2 is the correct answer as it accounts for the break-even point and accurately reflects the difference in total pay between Plan A and Plan B for Lamont's sales of $2,708.33.

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A conservation district in Ohio found that their land has a density of 95 rabbits per square mile. The area of the entire state of Ohio is about 44,825 square miles. If the population density of the state is the same as that conservation district, what is the rabbit population in Ohio?

Answers

Answer:  4,258,375

Step-by-step explanation:

Given in Quadrilateral WXYZ, WY and XZ bisect each other at point a
Prove Quadrilateral WXYZ is a parallelogram
What is the missing statement in this proof?

Answers

Proof of Quadrilateral WXYZ as a Parallelogram using SSS Criterion for Congruence.

What is the proof that Quadrilateral WXYZ is a parallelogram using SSS criterion for congruence?

Since WY and XZ bisect each other at point A, we have AW = AY and AZ = AX.

Now, consider the triangles AWX and AYZ. By the Side-Side-Side (SSS) criterion for congruence, we have:

AW = AY (given)

AZ = AX (given)

WY = XZ (as WY and XZ bisect each other)

Therefore, by the SSS criterion for congruence, we have AWX ≅ AYZ.

By the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) theorem, we have WX = YZ.

Since opposite sides are congruent, we have WX || YZ.

Similarly, we can show that WZ || XY.

Therefore, since both pairs of opposite sides are parallel, we can conclude that quadrilateral WXYZ is a parallelogram.

Missing statement: "By the SSS criterion for congruence, we have AWX ≅ AYZ."

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Find the slope of a line parallel to the line whose equation is 5x - 2y = 2. Fully
simplify your answer.

Answers

Answer:

To find the slope of a line parallel to 5x - 2y = 2, we need to first rearrange the equation in slope-intercept form, y = mx + b, where m is the slope of the line. 5x - 2y = 2 -2y = -5x + 2 y = (5/2)x - 1 The slope of the line is 5/2. Since we are looking for a line parallel to this line, the slope of the parallel line will be the same as the slope of the original line, which is 5/2. Therefore, the slope of a line parallel to 5x - 2y = 2 is 5/2.

HELP PLSSSSSSSSSSSSSSS

Answers

Answer:

E

Step-by-step explanation:

[tex]3(p - 4) = 2(p + 1)[/tex]

Multiply every term inside the bracket by the term on the outside:

[tex]3p - 12 = 2p + 2[/tex]

Collect like-terms (also, moving the term to the other side changes its sign to the opposite of the previous one):

[tex]p = 14[/tex]

EXPLANATION

step 1. 3×p - 3×4 = 2×p + 2×1 ( brackets means × or multiplication )

step 2. 3p - 12 = 2p + 2 ( collect like terms )

step 3. -2p - 3p = 2 + 12 ( calculate the like terms and when we calculate them it would not be multiplication or division )

step 4. -1p = 14 ( answering look like this )

step 5. -1p/ 1 = 14/1 ( divided it by the number to get the variable )

step 6. p = 14 ( finally answer the question and check it all your calculate )

If you think you are brilant do not run for only the answer, but check up and understand it how it come.

ANSWER

(E) 14

Can someone help me on this pls

Answers

The two-column proofs of the line segments are shown below

Proving that HI ≅ JH

Given that

HI = 13

IJ = 13

IJ ≅ JH

The proof is as follows

Statement                                                Reason

HI = 13, IJ = 13, IJ ≅ JH                            Given

HI ≅ IJ                                                      Substitution property

HI ≅ JH                                                    Substitution property (proved)

Proving that AS = LK

Given that

AL = SK

The proof is as follows

Statement                                                Reason

AL = SK                                                    Given

AL + LS = AS                                            Point–line–plane postulate

LS + SK = LK                                            Point–line–plane postulate

LS + AL = LK                                            Substitution property

AS = LK                                                    Point–line–plane postulate

                                                                (proved)

Proving that DG ≅ EF

Given that

DG = 11

GF = 11

GF ≅ EF

The proof is as follows

Statement                                                Reason

DG = 11, GF = 11, GF ≅ EF                        Given

DG ≅ GF                                                   Substitution property

DG ≅ EF                                                    Substitution property (proved)

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What is the smallest possible average of 200 distinct positive and odd integers?

Answers

201.5 is the smallest average of 200 different positive and odd integers.

Let's first consider the set of the first 200 odd positive integers: {1, 3, 5, ..., 397, 399, 401}.

The average of this set is (1+3+5+...+397+399+401)/200 = 201.

Now, we want to find a set of 200 distinct positive and odd integers that has a smaller average than 201.

One way to do this is to remove the largest element from the first set (401) and replace it with the smallest odd positive integer that is greater than 401, which is 403.

The new set is {1, 3, 5, ..., 397, 399, 403}.

The average of this set is (1+3+5+...+397+399+403)/200 = 201.5.

Hence, 201.5 is the smallest average that can be calculated from 200 different positive and odd integers.

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please help quick its due by 11 am

Answers

Each of the value of x in the diagram above are as follows

x = 141 degreesx = 39 degreesx = 21 degreesx = 88 degreesx = 98 degreesx = 139 degreesx = 63 degreesx = 102 degreesx = 50 degreesx = 166 degreesx = 36 degreesx = 74 degreesx = 83 degreesx = 95 degreesx = 162 degrees

What are corresponding angles?

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines.

Next, we would determine each of the missing angles denoted by x as follows with respect to the START BOX;

x = 141° (alternate interior angles theorem).

x = 39° (corresponding angles).

x + 169 = 180

x = 180 - 169 = 21°.

x = 88° (vertically opposite angles).

x = 180°- 82°

x = 98°

x + 41 = 180

x = 180 - 41 = 139°.

x + 117 = 180

x = 180 - 117 = 139°.

x = 102° (vertically opposite angles)

x + 130 = 180

x = 180 - 130 = 50°.

x + 14 = 180

x = 180 - 14 = 166°.

x + 18 = 180

x = 180 - 18 = 162°.

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Please help!!

I don’t understand how to solve this since it’s format confuses me
Can someone explain how to answer it has to be a whole number or fraction.

Write as a single logarithm:
log 5 + 2

Answers

There is no logarithm base provided in the expression "log 5 + 2". Therefore, we assume that the base is 10, which is the default base for logarithms when no base is specified.

Using the logarithmic identity that states

"log a + log b = log(ab)",

we can combine the terms as follows:

log 5 + 2 = log(5) + log(10^2) [Note that 10^2 = 100]

Now, using the same identity, we can simplify this further:

log(5) + log(100) = log(5 * 100) = log(500)

Therefore, the expression "log 5 + 2" can be simplified as a single logarithm of "log 500" with base 10.

Need some help
100 points!!

Answers

Answer:

145°

Step-by-step explanation:

∠1 + ∠2 = ∠3

5x + (4x + 10) = 10x - 5

9x + 10 = 10x - 5

10x - 9x = 10 + 5

x = 15

∠3 = 10x - 5 = 10(15) - 5 = 150 - 5 = 145

your answer is 145

good luck :)

2x = 7, 2Y = 5, then 2 x - y

Answers

The calculated value of the expression 2x - y for the given values of x and y is 9/2.

Evaluating the expression for x and y

We are given that 2x = 7 and 2y = 5, and we are asked to find the value of 2x - y.

This means that

x = 7/2 and y = 5/2

We can start by substituting the given values into the expression:

2x - y = 2(7/2) - (5/2)

Notice that since 2x = 7, then x = 7/2.

Similarly, since 2y = 5, then y = 5/2. Substituting these values into the expression, we get:

2x - y = 2(7/2) - (5/2) = 7 - 5/2 = 9/2

Therefore, the value of 2x - y is 9/2.

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1. The product of th roots of the quadratic 6x + cx + 4 is 2 greater than the sum of the roots, and c is a constant. What is the c?​

Answers

The prοduct οf th rοοts οf the quadratic 6x + cx + 4 is 2 greater than the sum οf the rοοts, and c is a cοnstant the value οf c = 4

What is quadratic equatiοn in math?

ax² + bx + c = 0 is a quadratic equatiοn, which is a secοnd-οrder pοlynοmial equatiοn in a single variable. a 0.

By Vieta's fοrmulas, we knοw that the sum οf the rοοts is given by:

α + β = -c/6

And the prοduct οf the rοοts is given by:

αβ = 4/6 = 2/3

We are given that the prοduct οf the rοοts is 2 greater than the sum οf the rοοts:

αβ = α + β + 2

Substituting the values we knοw, we get:

2/3 = -c/6 + 2 + α + β

Simplifying this expressiοn, we get:

2/3 = -c/6 + 2 - c/6

Multiplying bοth sides by 6, we get:

4 = -c + 12 - c

Simplifying, we get:

2c = 8

c = 4

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pleaseeeeeeeeee and ty

Answers

The graph of x²-x-2=y crosses the x-axis at the points (-1,0) and (2,0).

What is graph?

A graph is a data structure consisting of a set of vertices (also called nodes or points) connected by edges (also called arcs or lines). It is used to represent relationships between objects or entities in a system or network. Graphs are commonly used in computer science, mathematics, and other fields where complex data structures need to be analyzed and visualized.

In a graph, each vertex may be connected to one or more other vertices by edges. The edges may be directed (pointing from one vertex to another) or undirected (connecting vertices without a specific direction). A graph can be represented mathematically as a set of vertices and a set of edges that connect them.

To find where the graph of the equation x²-x-2=y crosses the x-axis, we need to find the values of x when y=0.

So, let's set y=0 and solve for x, x²-x-2=0

We can factor this quadratic equation as (x-2)(x+1) = 0

So, the solutions are

x-2=0 or x+1=0

which give:

x=2 or x=-1

Therefore, the graph of x²-x-2=y crosses the x-axis at the points (-1,0) and (2,0).

So the answer is option D: (-1,0) and (2,0).

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Identify the solid formed by rotating the two-dimensional shape about the line.
Select Choice
pls help ill mark brainliest + 60 points!!!!!

Answers

Answer:

The solid formed by rotating the two-dimensional shape (which appears to be a right-angled triangle) about the line is a cone.

Answer:

identy the solid formed by

A blueprint used a scale of 1.5 cm = 2 m to
represent a grain silo. If the height of the silo in
the drawing was 33 cm, how tall is the actual grain
silo?

Answers

Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Draw a model to find a fraction equivalent to 1/4 show your work

Answers

A model to find a fraction equivalent to 1/4 is found to be 0.25.

Explain about the fraction:

The intervals among two integers are illustrated by the display of fractions on a number line, which also reveals the basic idea behind the generation of fractional numbers.

The fractions on even a number line can be shown by splitting a whole into equal pieces, ranging from 0 to 1. The fraction's denominator would correspond to the number of equally spaced divisions that will be marked on the number line. To depict 1/8 on a number line, for instance, we would mark 0 and 1 on the two ends then divide that number line into 8 equal segments. The first interval can thus be designated as 1/8.

Now, for the given fraction 1/4.

To get the model of 1/4, draw number line and mark number starting from

0 to 4.

Divide in 4 equal part.

The first part shows the fraction 1/4 = 0.25.

Thus, a model to find a fraction equivalent to 1/4 is found to be 0.25.

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A dog ate 6 cupcakes. that was 3/8 of all of them. How many cupcakes did you start?

what is the equation---------------

what is the answer---------------

Answers

Answer:

16

Step-by-step explanation:

Find an equivalent fraction which is 6/16.

A warehouse worker uses a forklift to move boxes that weigh either 45 pounds or 70 pounds each. Let x be the number of 45-pound boxes and y be the number of 70-pound boxes. The forklift can carry up to either 60 boxes or a weight of 3000 pounds.

The total number of boxes that a forklift can carry is???


The total weight that the forklift can carry is ______ 3000 pounds.
Greater than, Less than, or Equal to

Write an inequality that models the number of boxes the forklift can carry. The inequality should contain x, y, and an inequality sign.


Write an inequality that models the amount of weight the forklift can carry. The inequality should contain x, y, and an inequality sign.

Answers

The inequality that models the amount of weight the forklift can carry is: 45x + 70y ≤ 3000

Define inequality

An inequality is a mathematical statement that indicates a relationship between two expressions that are not equal. It uses comparison symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to) to show the relationship between the two expressions.

The total number of boxes that a forklift can carry is x + y.

The total weight that the forklift can carry is equal to 45x + 70y pounds, which is less than or equal to 3000 pounds.

Therefore, the inequality that models the number of boxes the forklift can carry is:

x + y ≤ 60

The inequality that models the amount of weight the forklift can carry is:

45x + 70y ≤ 3000.

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A fair die is rolled 5 times. What is the probability of having no 1 and no 5 among the rolls? Round your answer to three decimal places.

Answers

The probability of having no 1 and no 5 among the rolls is approximately 0.131 or 13.1%.

What is the probability first law?

According to the First Principle of Probability, the outcomes of one chance occurrence have no bearing on those of succeeding chances occurrences. Thus, the chance of getting heads the second or third time you flip it stays at 1 in 2. The chances of getting heads on the sixth flip, even if you got five consecutive heads, stay at 12.

The Bayes rules of probability are what?

The Bayes Theorem asserts that the likelihood of a second tournament given the first occurrence multiplied by the odds of the first event equals the conditional event's likelihood depending on the presence of another event.

The probability of rolling a number other than 1 or 5 on a fair die is 4/6 or 2/3, since there are four favorable outcomes (2, 3, 4, 6) out of six possible outcomes.

To find the probability of rolling no 1 and no 5 in five rolls, we can use the multiplication rule of probability, which states that the probability of two independent events occurring together is the product of their individual probabilities.

So, for each roll, the probability of rolling a number other than 1 or 5 is 2/3. Therefore, the probability of rolling no 1 and no 5 in five rolls is:

(2/3) * (2/3) * (2/3) * (2/3) * (2/3) = (2/3)⁵ ≈ 0.131

Rounding to three decimal places, the probability is approximately 0.131.

Therefore, the probability of having no 1 and no 5 among the rolls is approximately 0.131 or 13.1%.

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