The concession stand at a school basketball game sells slices of pizza for $2 each and pretzels for $1.25 each. Josiah’s mom gave him $15 to spend. Write an equation (in standard form) to model this situation.

Answer:

lines are parallel

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines is - 1

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = 3, 1) and (x₂, y₂ ) = (8, 6)

m = [tex]\frac{6-1}{8-3}[/tex] = [tex]\frac{5}{5}[/tex] = 1 ← slope of line a

Repeat with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (2,9)

m = [tex]\frac{9-1}{2+6}[/tex] = [tex]\frac{8}{8}[/tex] = 1 ← slope of line b

Since both slopes are equal, line a and line b are parallel

Answer:

b(x) = -2X² + 19X + 114

Step-by-step explanation:

b(x) = total revenue generated per day

total revenue formula ⇒ b(x) = price x quantity

price = $3 current price + 0.5X price increase = 3 + 0.5X

quantity = 38 current quantity sold - 4 books per X = 38 - 4X

b(x) = (3 + 0.5X) · (38 - 4X)

b(x) = 114 -12X + 19X - 2X²

b(x) = -2X² + 19X + 114

Answer:

B

Step-by-step explanation:

(2x² - 3x + 8) - (3x² + 7x - 2)

~Distribute the negative sign

2x² - 3x + 8 - 3x² - 7x + 2

~Combine like terms

-x² - 10x + 10

Best of Luck!

Answer:

2.65

Step-by-step explanation:

21.20 ÷ 8 = 2.65

Answer:

-2(-12-7 g)

Step-by-step explanation:

hope this helps :)

Answer:

1

Step-by-step explanation:

2x + 9 - 17x - 15 - x =????

2x - 17x - x + 9 - 15 = 0

- 15x - x - 16 = 0

- 16x - 16 =0

-16x = 16

x = 16 / - 16

x = 1

Answer:

positive 42

Step-by-step explanation:

because to negatives make a positive and then you would multiply the two by eachother because they are directly beside eachother and then you do 7*6 which equals to 42 I really hoped this helped you

Answer:

smart boy/girl !

Step-by-step explanation:

1/2

Answer:1/2

explanation:I did the test but I got the answer wrong because I thought it was 7 and 1/5 , but it’s 1/2

Answer:

x=1/25

Step-by-step explanation:

Answer: -25

Step-by-step explanation:

You would have to divide both sides by 3/5 which is the same as multiplying by 5/3.

x = -15*5/3

x = -75/3 = -25

Answer:

There are 6 people in the Fram family

Step-by-step explanation:

19.8 ÷ 3.3 = 6

Hope this helped!!

Answer:

19.8

3.3

19.8/3.3

6

Step-by-step explanation:

got it right

Answer:

$163

Step-by-step explanation:

Bob worked 26 hours and earn $7 per hour. Multiply 26 with 7:

26 x 7 = 182

Bob made a total of $182 last month.

Bob then spent $19. Subtract 19 from the total earned:

182 - 19 = 163

Bob has $163 left.

~

Answer:

He has $163 dollars left

Step-by-step explanation:

Because first we needed to find out how much did he make in 26 hours, 29 (hours) x $7 (per hour) = $182

Then he spent $19, $182 (how much he made in 26 hours) - $19 (how much he spent) = $163

Answer:

f(x) = 2x

Step-by-step explanation:

High Hopes^^

Barry-

Answer:

Step-by-step explanation:

8 tetra and 2 rainbow

2*8=16

16+6=22

16+22=38

your answer is undefinable unless you want it in the hundredths

Answer:

its either 3.125 or 3.875

Step-by-step explanation:

sorry

Answer:

-3x – 4y = -4

Step-by-step explanation:

Answer: Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians. There are an infinite number of coterminal angles that can be found?

Step-by-step explanation:

Answer:

Complementary!!!

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

Examples of such numbers are;

59,995

60,001

58,754

Step-by-step explanation:

Here, we want to write three numbers which when rounded to the nearest ten thousand is 60,000

We can suggest the following;

59,995

60,001

58,754

Answer:

-13/9 = x

Step-by-step explanation:

8/9 = x + 1/3(7)

~Simplify right side

8/9 = x + 7/3

~Subtract 7/3 to both sides

-13/9 = x

Best of Luck!

x= -13/9

1/3(7) = 1/3 x 7

1/3(7) = 7/3 = 2 1/3

Answer:

Step-by-step explanation:

-16x+13+-20x+23=180

-36x+36=180

-36x=144

X=-4

Then put -4 in -16(-4) + 13 = 77

Answer is 77

The angle LMP will be 75.22° and the angle NMP will be  104.77°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

∠LMN = ∠ LMP + ∠NMP

Since ∠LMN = 180°

So,

∠ LMP + ∠NMP = 180

-16x + 13 - 20x + 23 = 180

-36x + 40 = 180

36x = -140

x = -3.88

So,

∠ LMP = -16(-3.88) + 13 = 75.22°

So,

∠NMP = 180 - 75.22 = 104.77°

Hence "The angle LMP will be 75.22° and the angle NMP will be  104.77°".

For more about the angle,

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Answer:

464

Step-by-step explanation:

Hope This Helps!

Answer:

16

Step-by-step explanation:

on the number line it would be 9 and 7 on the same side because -7in () would be +7  and than you add it it would be 16

Answer:

i think its the third one i could be wrong

Step-by-step explanation:

I think its the last one

Answer:

It's not a function

Step-by-step explanation:

Due to the fact that at one x point there are multiple y values so this cannot be a function. The graph also does not pass the vertical line test, therefore it is not a function.

1. The graph is not represent a function.

2. The table shown in figure is represent a function.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The graph is shown in  shown in figure.

And, In the table;

Value's of x are - 2, 1 , 0 , 2

And values of y are 5, 4 3 , 4

Now,

To check the graph is the function or not, we use vertical line test.

If the vertical line draw parallel to y - axis and it cuts more than one points in the graph, then the graph is not a function.

Here, When we draw a vertical line which is parallel to y - axis then it cuts more than one point, so it is not a function.

Thus, The graph is not represent a function.

2. In the table;

Value's of x (input) are - 2, 1, 0, 2.

And values of y (output) are 5, 4, 3, 4.

Clearly, Every input have exactly one output.

So, By definition of function;

The table shown in figure is represent a function.

Therefore,

1. The graph is not represent a function.

2. The table shown in figure is represent a function.

Learn more about the function visit:

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Answer: 5.18

Step-by-step explanation:

Z= 3.06+2.12=5.18