Which properties could you use to solve the following expression?

The gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyballs cost $7 each. Ho

pav-90 [236]

Answer:

The maximum number of volleyballs that she can buy is 19

Step-by-step explanation:

Let

x ----> the number of volleyballs

we know that

The cost of each volleyball net ($28) by the number of volleyball nets (4) plus the cost of each volleyball ($7) multiplied by the number of volleyballs (x) must be less than or equal to $250

so

The inequality that represent this situation is

$28(4)+7x\leq 250$

Solve for x

$112+7x\leq 250$

subtract 112 both sides

$7x\leq 250-112$

$7x\leq 138$

Divide by 7 both sides

$x\leq 19.7$

therefore

The maximum number of volleyballs that she can buy is 19

4 0

3 years ago

Write an equation in standard form of the line that contains the point (-2,4) and is parallel to (has the same slope as) the lin

CaHeK987 [17]

Answer:

The equation of the line in standard form is -8x + y = 20

Step-by-step explanation:

The standard form of the linear equation is Ax + By = C, where

A, B, and C are integers

The slope-intercept form of the linear equation is y = m x + b, where

m is the slope

b is the y-intercept

Parallel lines have equal slopes

∵ The line is parallel to the line y = 8x - 2

→ Compare it with the slope-intercept form above

∴ m = 8

∵ The parallel lines have the same slopes

∴ The slope of the line = 8

→ Substitute it in the slope-intercept form above

∴ y = 8x + b

∵ The line passes through the point (-2, 4)

∴ x = -2 and y = 4

→ Substitute x by -2 and y by 4 in the equation to find b

∵ 4 = 8(-2) + b

∴ 4 = -16 + b

→ Add 16 to both sides

∴ 4 + 16 = -16 + 16 + b

∴ 20 = b

→ Substitute the value of b in the equation above

∴ y = 8x + 20

→ Subtract both sides by 8x

∵ y - 8x = 8x - 8x + 20

∴ y - 8x = 20

→ Switch x and y

∴ -8x + y = 20

∴ The equation of the line in standard form is -8x + y = 20

8 0

3 years ago

If there are 48 oranges then how many apples are there?

UkoKoshka [18]

If this is a actual question then you are missing parts of it! Please leave a comment with the full question and I would be glad to help you out! If looking at what is given then 0 apples as all that is stated is only 48 oranges and no apples.

5 0

3 years ago

Read 2 more answers

Help u will get brainliest

kondor19780726 [428]

Answer:

The last one

Step-by-step explanation:

In a right triangle the expression of the sin is the quotiont of the opposite side and the hypotenuse

sin x° = $\frac{opposite}{hypotenuse }$

8 0

3 years ago

Given f(x)=8x^5, find f^-1(x) <br> Then state whether f^1(x) is a function.

irina1246 [14]

Answer:

f^-1(x) = (x/8)^(1/5) is a function

Step-by-step explanation:

The inverse of a function is the function reflected across the line y=x. This results in the coordinate points (x,y) of the function becoming (y,x) for the inverse function. Algebraically to find the inverse, switch the x and y locations and solve for y.

y = 8x^5

x = 8y^5

x/8 = y^5

(5)√(x/8) = y

This is a fifth root of (x/7) also written in exponents as y = (x/8)^(1/5).

This is a function. While it appears not to be a function because the middle portion over the origin appears vertical, it is a function because the middle portion over the origin is changing and graphing software shows it has no input with more than one output. Without graphing software you would rule it is not a function.

6 0

4 years ago