Write an inequality and use substitution to solve the following problem:
A couple is remodeling a room in their house. They have already purchased carpet for the room for $2,000. If their budget is a maximum of $5,100, determine which of the following costs they can afford for a furniture set.
Check all that are true.

$7,100

$3,050

$3,400

$5,300

$5,100

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

So the Adjacent Angle to ∠LSP is ∠PSM.

∠PSM number is 5

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Answer:

The first click beetle went higher.

Step-by-step explanation:

The vertex is the minimum point of a parabola that opens upwards, or the maximum point of a parabola that opens downwards.

Since the height of each of the beetles at time, t seconds, is modelled as a parabola that opens downwards, the maximum height of each beetle is the y-value of the vertex.

The function representing the height, h, of the first beetle is:

[tex]h(t)=-16t^2+8t[/tex]

We could complete the square to rewrite the function in vertex form, however the quickest way to find the vertex of a quadratic function in the form ax² + bx + c is to use the formula for the x-value of the vertex:

[tex]\boxed{x_{\sf vertex}=-\dfrac{b}{2a}}[/tex]

Comparing  ax² + bx + c with the given function:

Therefore, substituting the values of a and b into the formula, the x-value of the vertex of h(t) is:

[tex]x_{\sf vertex}=-\dfrac{8}{2(-16)}=0.25[/tex]

To find the y-value of the vertex, and thus the maximum height of the first beetle, simply substitute t = 0.25 into function h(t):

[tex]\begin{aligned}\implies h(0.25)&=-16(0.25)^2+8(0.25)\\&=-16(0.0625)+2\\&=-1+2\\&=1\end{aligned}[/tex]

Therefore, the maximum height of the first beetle is 1 foot.

From inspection of the given graph modelling the height of the second beetle, we can see that the maximum y-value is approximately 0.76 feet.

As the height of the second click beetle is less than the maximum height of the first click beetle, the first beetle went higher.

Answer:

B

Step-by-step explanation:

According to your question B is answer

The inequality x ≤ 20 has 20 positive whole-number solutions. These solutions are the whole numbers from 1 to 20, inclusive.

In mathematics, a relation that makes a non-equal comparison between two numbers or other mathematical expressions is called an inequality. It is used to compare two numbers by their size on the number line most often. Following are several notations that are used to represent different types of inequalities:

a < b: a is less than b.

a > b: a is greater than b.

a ≤ b: a is less than or equal to b.

a ≥ b: a is greater than or equal to b.

a ≠ b: a is not equal to b.

Inequalities can be solved using similar methods as equations but with some additional rules. For example, when multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.

According to the question, x is lesser than or equal to 20.

We have to only find the positive whole-number solutions.

Therefore, x values start from 1 and end at 20, including 1 and 20 both.

Thus, The inequality x ≤ 20 has 20 positive whole number solutions.

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Answer: Angle AGB

Step-by-step explanation: Complementary angles are two angles that in total their measures add up to 90 degrees.

We can see the opposite angle across FGB, CGB is a right angle so therefore it means FGB is a right angle.

Since we know FGB is a right angle, FGB + AGB = 90 degrees

Answer:

c = 40h + 50

Step-by-step explanation:

c = the amount charged for the wedding pictures.

h = the number of hours

Helping in the name of Jesus.

Step-by-step explanation:

c = 40h + 50

Step-by-step explanation:

c = the amount charged for the wedding pictures.

h = the number of hours

Step-by-step explanation:

5x=0.4
5x=2/5
Multiply with 5 to remove the fraction

The distance between -4 and its opposite on the number line is 8 units

We know that opposite of 4 is −4.

So, we need to find the distance between 4 and −4 on number line.

We know that absolute value of −4 and 4 is 4

So, the distance between −4 and 4 is 8 units.

Answer: 2n + 8

Step-by-step explanation:

1st part:
n + 4

2nd part:
Multiplies the 1st part by 2

2(n + 4)

2n + 8

Answer:

1250

Step-by-step explanation:

To calculate the area of the playground, we need to divide it into two smaller polygons: a rectangle and a right triangle.

The rectangle has a width of 50 yards and a height of 18 yards, so its area is:

50 yards x 18 yards = 900 square yards

The right triangle has a base of 20 yards and a height of 35 yards, so its area is:

(20 yards x 35 yards) / 2 = 350 square yards

The total area of the playground is the sum of the areas of the rectangle and the triangle:

900 square yards + 350 square yards = 1250 square yards

Therefore, the answer is not listed among the options provided. Perhaps there was an error in the given dimensions, or the correct answer was not included.

Answer: 4,763cm

Step-by-step explanation:

figure out the first rectangle, 70 x 48=  3360

Then find the bottom number with the inner height 38 x 23 = 874

Next, you would move the triangle that is dotted over to the undotted on on the right to get a square giving you 23 x 23 = 529

In the end you add it all 3,360 + 874 + 529 = 4,763

Answer:

[tex]3 {x}^{2} + 2x[/tex]

Step-by-step explanation:

Expanding brackets means multiplying every term inside the bracket by the term on the outside and then collecting like terms with the aim of removing the set of brackets

[tex]x(3x + 2) = 3 {x}^{2} + 2x[/tex]

3x² + 2x

Given equation, x(3x + 2)

                            = x(3x + 2)

                       Distributive property

                            = {(x * 3x) + (x * 2)}

                            = {(1 * x * 3 * x) + (1 * x * 1 * 2)}

                                  Rearranging like terms

                            = {(1 * 3 * x * x) + (1 * 1 * 2 * x)

                            = [{(1 * 3) * (x * x)} + {(1 * 1 * 2) * x)}]

                            = {(3 * x²) + (2 * x)}

                            = (3x²) + (2x)

                            = 3x² + 2x

Answer:

$4,200 + $4,200(.05)(3) = $4,830

Step-by-step explanation:

Principal = $4,200

Interest = $4,200(.05)(3) = $630

Total = $4,200 + $630 = $4,830

Answer:

D. Angles 2,4

Step-by-step explanation:

They are both adjacent, which makes the answer D. the correct answer.

Answer:

B

Step-by-step explanation:

Both have a common vertex and side (next to each other).

Answer:

The longer car will travel the fastest down the ramp

The car with the least mass will travel the fastest down the ramp

Changing the ramp height will cause the car to travel faster

Step-by-step explanation:

The longer car will travel the fastest down the ramp

On the table, we are not told what effect a longer car would have on the time taken. We are only told about the mass of car, this means that this would be one of the conclusions you could not draw.

The car with the least mass will travel the fastest down the ramp

We can see on the table that the higher than mass of a car, the quicker the car takes to go down the ramp. This is as the time taken is shorter so it had taken less time. This opposes the statement we are given therefore it should be incorrect.

Changing the ramp height will cause the car to travel faster

On the table, there is not information regarding ramp height meaning that this statement would automatically be incorrect

Hope this helps, have a lovely day! :)

Answer:

50x5

Step-by-step explanation:

Answer:

34.54

Step-by-step explanation:

 C = πd

C = 11 in * 3.14 = 34.54

Question:

whats the surface area of this rectangle?

1cm 8cm 4cm

Answer:

13 cm

Answer:

y = 6

z = 3.25

x = 3.5

Step-by-step explanation:

12 * 0.5 = 6

6.5 * 0.5 = 3.25

7 * 0.5 = 3.5

X = 3.5 inches

Y = 6 inches

Z = 3.25 inches

Length of the larger tissue box = 12 inches

Breadth of the larger tissue box = 6.5 inches

Height of the larger tissue box = 7 inches

The small tissue box is dilated by - 0.5

So, the measures of the smaller tissue box is 0.5 times the larger tissue box.

Measures of the smaller box will be -

Length of the smaller tissue box = 12 * 0.5

                                                        = 6 inches

Breadth of the smaller tissue box = 6.5 * 0.5

                                                          = 3.25 inches

Height of the smaller tissue box = 7 * 0.5

                                                        = 3.5 inches

According to the variables,

X = Height

Y = Length

Z = Breadth

Height = 3.5 inches

Length = 6 inches

Breadth = 3.25 inches

X = 3.5 inches

Y = 6 inches

Z = 3.25 inches

Hope my answer helps you.

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Answer: DFE

Step-by-step explanation:

complementay=90 degrees

The scale is 1cm = 50m

So height in model = 381/50

                                = 7.62cm

Answer: 7 31/50 cm

Step-by-step explanation:

The scale is 50 m = 1 cm

381 divided by 50 is 7 r31

This means that the height of his model in centimeters is 7 31/50 cm.

Hope this helps!

Answer:no

Step-by-step explanation:

it does not have 4 sides.

Answer:

y = 3/4 + 4

Step-by-step explanation:

Y Intercept = The number on the Y-Axis that the line crosses (Which is 4 on this question)

Slope = Rise/Run (Starting from the top of the line, count 3 down & 4 right to reach a whole number coordinate)

Answer:Statistical,Both

Step-by-step explanation:

Its right trust !

Answer:

Step-by-step explanation:

Agree. Based on the equations above, Keiko's line has a steeper slope than Eric's line, indicating a higher rate of change in the number of texts per day with respect to age.