There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?

Answer:

2)

Step-by-step explanation:

To find the original width, multiply 15.8 by w, and by 5.2.

You'll get 327.65 = 15.8w + 82.16.

Next, do the opposite of the symbol from both sides, 327.65 - 82.16 = 15.8w + 82.16.

The constant is 82.16, and the symbol is +, the opposite of plus is -, and thus subtract the constant from both sides.

You'll get 245.49 = 15.8w.

Now do the opposite of the symbol (a number next to a variable is multiplication, so do division, and divide 15.8 on both sides.

245.49/15.8 = 15.8w/15.8, which equals 15.5373417722.

Answer:

between 7.0 and 9.0 hours of sleep

Step-by-step explanation:

got it right

Answer:

Any numbers below 20

Step-by-step explanation:

1/2x<10

Hope this helps :)

Answer:

AC = 20.5, CB = 14.5

Step-by-step explanation:

Let X be the distance of AC, and Y be the distance of CB. We can write 2 equations with the given information:

[tex]x=y+6\\x+y=35[/tex]

Now we have a system of equations that we can solve for both variables.

Solve by substitution:

[tex](y+6)+y=35\\2y+6=35\\2y=29\\y=14.5[/tex]

Then the next equation:

[tex]x=14.5+6\\x=20.5[/tex]

x = 20.5, y = 14.5

or

AC = 20.5, CB = 14.5

20.5 is 6 longer than 14.5, and they add up to 35cm, so this is our solution.

Answer:

output = 8

Step-by-step explanation:

1. To solve for the output of the equation, we plug in the value of the input, 18, and simplify.

2. (Solving)

Therefore, the output is 8.

An equation is formed when two equal expressions. The output of y= 2/3x −4 when the input is 18 is 8.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The output of y= (2/3)x −4 when the input is 18 are,

y = (2/3)x - 4

y = (2/3)18 - 4

y = 12 - 4

y = 8

Hence, the output of y= 2/3x −4 when the input is 18 is 8.

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Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.

for the slope a :

x changes by +10 (from -5 to 5)

y changes by +1 (from -4 to -3)

the slope is +1/+10 = 1/10

the equation looks now like

y = (1/10)x + b

let's use the first point.

-4 = (1/10)×-5 + b = -1/2 + b

-3 1/2 = -7/2 = b

the equation is

y = (1/10)x - 7/2

so, the second answer option is correct.

Answer:

4x² - 28xy + 49y²

Step-by-step explanation:

(2x - 7y)²

= (2x - 7yy)(2x - 7y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x - 7y) - 7y(2x - 7y) ← distribute parenthesis

= 4x² - 14xy - 14xy + 49y² ← collect like terms

= 4x² - 28xy + 49y²

Answer:

J (-5,2)

Hope this helps!

Answer:

a)0.085 b)19.6 percent

Step-by-step explanation:

Answer:

a) 0.085

b) 19.6%

Step-by-step explanation:

Answer:

50.05 feet

Step-by-step explanation:

The tower have 32.57 feet, and you can find it using the same method than I used in your other question

Now you find the length of the guy wire using the Pythagorean theorem:

38²+32.57² = guy wire²

2504.8 = guy wire²

guy wire = √2504.8

guy wire = 50.05 feet

Step-by-step explanation:

100 % = 150

1% = 100%/100 = 150/100 = 1.5

the discount was 150 - 120 = 30.

how many percent are in 30 ? that is our discount preventative.

30/1.5 = 20

so, the watch was sold with 20% discount.

Answer:

Uh, 16.

Step-by-step explanation:

We need to choose three different toppings. So here we need to find the number of ways in which we can choose three different toppings out off. 16. So a number of ways are takes three at a time, from a total of 16. That is civilians combination. Here are formula for combination is 16 factorial over three factorial into 16 minus three. Factorial this candidate and a 16 factorial over three factorial into 16 minus trees. 13. Authority in factorial, now 16. Factory converted on a 16 in 2 15 into 14 into 13. Factorial over three factorial into 30. In fact, a real as we can see that 13 factorial is common toward denominator and numerator so we can get through this. Now I remaining times are 16 into 15 into 14. Over three in Toto into one has three factories, three in tow, one So calculating this ticket. Find 60 Soviet 56 TVs to select three different topics. Talked to select three different toppings out off 16 on a bizarre

Answer:

x = 13

angle A = 97degrees

Step-by-step explanation:

TO GET "x=13"

since the angle is an alternate angle , it adds up to 180deg so :-

A+B =180

6x + 5 + 4x + 45 = 180

then u add the like terms :-

10x + 50 = 180

then u substitute:-

10x = 180-50

10x = 130

10x÷10 = 130 ÷10 ( this is to cancel the 10 )

x = 13

___________________________________________________________________

TO GET "A=97"

since we need the magnitude of A, we need to .... um I dunno how to explain this soo.....

the equation for A = 6x + 5

180 is the sum of the 2 angles so :-

180 - 5 - (13 × 6) 13×6 is because x=13

180 - 5 - 78= 97

I subtracted these since we need to cancel to get to an answer

I hope u get it.... sorry if u can't understand

and sorry once again if this answer.... I did it in a rush

Answer:

5x, -2x, and x

Step-by-step explanation:

Like terms share the same variable and powers. This means that the options with 'x' as an variable would be the like terms of 3x.

5x , -2x  , and x are like terms because they share the same variable, 'x'.

Hope this helps.

The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Let amount contributed by Willie be x

Let amount contributed by Bruno be y

Since Willie agreed to contribute $12,000 more than Bruno;

Therefore;

By solving the system of equations simultaneously;

In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

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The value of x from the proportion relation is x = 1

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides

Given data ,

Let the proportion equation be represented as A

Now , the equation will be

Substituting the values in the equation , we get

x / 0.25 = 6 / 1.5

On simplifying the equation , we get

Multiply by 0.25 on both sides of the equation , we get

x = ( 6 x 0.25 ) / 1.5

On further simplification , we get

x = 6/6

x = 1

Therefore , the value of x = 1

Hence , the equation is x = 1

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Given:

Radius = 15 cm

To Find:

Circumference of the circle

Let's start.

We know that the formula of Circumference is

[tex] \sf \longmapsto2\pi r[/tex]

[tex] \sf \longmapsto \: 2 \times 3.14 \times r[/tex]

[tex] \sf \longmapsto2 \times 3.14 \times( 15 \: cm)[/tex]

[tex] \sf \longmapsto6.28 \times (15 \: cm)[/tex]

[tex] \sf \longmapsto94.2 \: cm[/tex]

[tex] \boxed{\red{\boxed{\sf 94.2 \: cm}}}[/tex]

Answer:

y=-5×+13

Step1 inter change ×gy

1) The mathematical statements in Set A are linear equations (there's the equal to [=] symbol). The mathematical statements in Set B are linear inequalities (there are inequality signs like <, > etc).

2) Set A (=)

3) Set B (<, > etc.)

_______

Hope it helps ⚜ :))

Answer:

If Bryan can run 2 miles in 20 minutes, he can run 10 miles in 100 minutes.

Step-by-step explanation:

To determine the answer to this problem, we can first find how many minutes it takes Bryan to run one mile. Because it takes him twenty minutes to run two miles, it must take Bryan ten minutes to run one mile.

1 mile = 10 minutes

Multiply this by ten to find how many miles Bryan runs in 100 minutes.

10 miles = 100 minutes

Bryan can run 10 miles in 100 minutes.

Answer: 10 miles

Step-by-step explanation: They’re equivalent to the minutes. 20 minutes 2 miles, 40 minutes 4 miles and so on.

Answer:

0.55p

Step-by-step explanation:

Iphone before discount = 100%p

Iphone after discount = 55%p

Expression = (1 - 0.45)p

Expression = 0.55p

-Chetan K

Answer:

x=42

Step-by-step explanation:

divided by 2 equals 42 first you have to dive x by 2 and do the same for 80

here is answer

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The ∆ABC ~ ∆DEF by AA similarity Criteria.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Two angles in ∆ABC and their equivalent angles in DEF are congruent.

Hence, it follows that the triangles' third pair of angles would likewise be similar.

So, the three sides of ∆ABC and corresponding sides of ∆DEF will be proportional to each other.

Then here the AA Similarity Criterion will be used.

Thus, ∆ABC ~ ∆DEF by AA Similarity rule.

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the standard form of this expression is

(72+3)(-i)

Answer:

(1 row & 30 columns) (2 rows & 15 columns) (3 rows & 10 columns) (5 rows & 6 columns) (6 rows & 5 columns)

Step-by-step explanation:

1 * 30 = 30

2 * 15 = 30

3 * 10 = 30

5 * 6 = 30

6 * 5 = 30

Answer:

[tex] \: [/tex]

One Square Feet is equivalent to 0.0022956820843815 Decimal.

Hence, to convert Square Feet to Decimal, we just need to multiply the number by 0.0022956820843815.

We are going to use very simple Square Feet to Decimal conversion formula for that.

see the calculation example given below.

Convert 56 Square Feet to Decimal ⇒ 56 Square Feet

= 56 × 0.0022956820843815 = 0.12855819672536 Decimal

Answer:

Yes, it is true by AAS theorem.

The triangles ΔMNP and ΔQRS are congruent triangles

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be ΔMNP

Now , let the second triangle be ΔQRS

where the measure of angle ∠MNP = measure of angle ∠QRS = 90°

And , the measure of side NP = measure of side RS

And , the measure of ∠NPM = measure of angle ∠RSQ

So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent by ASA theorem

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