In a class , 45 students take the SAT exam. The number of boys is 8 more than the number of girls.a.Write a system that models the above situation
b.Do you need to multiply any of the equations by a constant? If so, which equation and what is the constant?

Answers

Answer 1

Answer: well you have girls as x and boys as y so then its x+y = 45 and x+8 = y so then you can substitute to get 2x +8 =45 which i believe is a system but I'm not sure. then you solve to get a half… thats not right but i think i hav the system part sorry

Answer 2

Answer:

Answer:

Step-by-step explanation:

well you have girls as x and boys as y so then its x+y = 45 and x+8 = y so then you can substitute to get 2x +8 =45 which i believe is a system but I'm not sure. then you solve to get a half… thats not right but i think i hav the system part sorry

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Help answer 1/5x-2/3y=30 when y = 15

Answers

The value of the variable x at y = 15 will be 200.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

(1/5)x - (2/3)y = 30

Solve the equation for x, then we have

(1/5)x = 30 + (2/3)y

x = 150 + (10/3) y

The value of the variable x at y = 15 will be

x = 150 + (10/3) × 15

x = 150 + 50

x = 200

The value of the variable x at y = 15 will be 200.

More about the solution of the equation link is given below.

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$\frac{1}5x-\frac{2}3y=30$

Plug in 15 for y.

$\frac{1}5x-\frac{2}3(15)=30$

2/3 of 15 is 10.

$\frac{1}5x-10=30$

Add 10 to each side.

$\frac{1}5x=40$

Divide each side by 1/5.
(dividing by a fraction is the same as multiplying by its reciprocal...flip 1/5...×5)

$\boxed{x=200}$

Is. 1.2/3 and 1.8/4.5 proportional or not?

Answers

Answer:proportional

Step-by-step explanation: i took the test!

What is -3/5 x 5/16 x 7/12 ➗-3/16 x -5/7?

Answers

Answer:

-49/60.

Step-by-step explanation:

To simplify the expression -3/5 x 5/16 x 7/12 ÷ -3/16 x -5/7, we can follow these steps:

1. Multiply the numerators and denominators of all the fractions together:

(-3 x 5 x 7) / (5 x 16 x 12) ÷ (-3 x -5) / (16 x 7)

2. Simplify the multiplication of the numerators and denominators separately:

-105 / 960 ÷ 15 / 112

3. When dividing fractions, we can multiply by the reciprocal of the second fraction:

-105 / 960 x 112 / 15

4. Multiply the numerators and denominators together:

(-105 x 112) / (960 x 15)

5. Simplify the multiplication:

-11760 / 14400

6. Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:

-49 / 60

A group of 32 players forms 4 volleyball teams. If there are 96 players, how many teams can be formed?

Answers

There will be 12 teams can be formed if the group of 32 players forms 4 volleyball teams.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

A group of 32 players forms 4 volleyball teams.

Total number of players = 96×4

= 384

Number of teams = 384/32

= 12

Thus, there will be 12 teams can be formed if the group of 32 players forms 4 volleyball teams.

Learn more about the fraction here:

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96/32=3
4*3=12

12 équipes volleyball if there are 96 players.

Given x is an acute angle with sin(x)=1/3, find the value of cos (4x) .

Answers

Answer:

Step-by-step explanation:

If a polyhedron has a volume of 23cm3 and is dilated to the scale factor or 1/3 whats the volume

Answers

You just need to multiply 23 by 1/3. So: 23 * 1/3 or 23/1 * 1/3 = 23/3. It can be simplified into 7.67. Don't forget to include cm^3 after the value.

Final answer:

When a polyhedron with a given volume is dilated by a scale factor, the new volume is calculated by multiplying the original volume by the cube of the scale factor. So, a dilation of a polyhedron with an original volume of 23 cm³ by a scale factor of 1/3 gives a new volume of approximately 2.56 cm³.

Explanation:

In mathematics, a dilation is a transformation that changes the size of a figure without changing its shape. The degree of enlargement or reduction is called the scale factor.

In the question, the original volume of the polyhedron is 23 cm³ and it is dilated by a scale factor of 1/3. However, we need to remember that volume is associated with three dimensions. Therefore, when a polyhedron is dilated, each dimension (length, width, and height) is affected by the scale factor. Thus, to find the new volume, we apply the cube of the scale factor to the original volume.

In this case, the new volume V' would be calculated as: V' = V x (scale factor)³, which gives us V' = 23 cm³ x (1/3)³. Calculating this we get V' = approximately 2.56 cm³.