Elena went to a store where you can scoop your own popcorn and buy as much as you want. She
bought 10 ounces of spicy popcorn for $2.50.
1. How much does popcorn cost per ounce?
2. How much popcorn can you buy per dollar?
3. Write two different equations that represent this situation. Use p for ounces of popcorn and a
for cost in dollars.
4. Choose one of your equations, and sketch its graph. Be sure to label the axes.

Answer:

see below

Step-by-step explanation:

we know that

[tex]\angle 1 =\angle 2[/tex]

and that

[tex]\angle 1 +\angle 2 = 180[/tex]

so we substitute angle 2 by angle 1

[tex]\angle 1 +\angle 1 = 180\\\\2\angle 1=180\\\\\angle 1 = 90[/tex]

so there we have it

[tex]\angle 1 = 90 =\angle 2[/tex]

Since $14 is the price after a 30% discount then $14 is 70% of the original price.

$14/70=x/100 (100% would be the original price)

1400=70x or 1400/70 = $20!

You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!

Answer:

Option C. [tex]98^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle DAB + \angle BAC = 180[/tex] (the two angles sum to the angle of a straight line: [tex]180^{\circ}[/tex])

[tex]122+\angle BAC = 180[/tex]

[tex]\angle BAC = 180-122[/tex]

[tex]=58^{\circ}[/tex]

[tex]24+58+x = 180[/tex] (sum of interior angles of triangle is [tex]180^{\circ}[/tex])

[tex]82+x=180[/tex]

[tex]x=98^{\circ}[/tex]

∴ Option C is correct.

Hope this helps :)

Step-by-step explanation:

3/6=k/7

cross multiply then

6k=21

divide by the coefficient of k

k=3.5

Answer:

y=1/2x+5

Step-by-step explanation:

first you have to find the slope by using [tex]\frac{y2-y1}{x2-x1}[/tex]

so when you plot in your points and you will get 1/2x.

then you need to find your y-intercept

and since you don't have a 0 you have to slove by using y=mx+b (slope-intercept) formula

you plug in your points and you will get

b=5 and that is how you get your equation.

Answer:

h(4) = 3

f-1(-3) = - 1

Step-by-step explanation:

One

h(x) = 2x - 5

h(4) = 2*4 - 5

h(4) = 8 - 5

h(4) = 3

Two

Let y = f(x)

y = 5x + 2           Interchange x and y

x = 5y + 2           Subtract 2 from both sides

(x - 2) = 5y          Divide by 5

(x - 2)/5 =  y

but y = f'(x)

so f(x) = (x - 2)/5

f-1(-3) = (-3 - 2) / 5

f-1(-3) = -5/5

f-1(-3) = - 1

Answer:

0.5

Step-by-step explanation:

Look at the decimal go down. It goes down 0.5 each time or 1/2

The common difference in the arithmetic sequence 5.0, 4.5, 4.0, 3.5 will be 0.5.

Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as

[tex]\rm a_n = a_1 + (n - 1)d[/tex]

The arithmetic sequence is given below.

5.0, 4.5, 4.0, 3.5

Then the common difference will be

d = 5.0 – 4.5 = 0.5

More about the arithmetic sequence link is given below.

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Answer:

I believe it is 4 billion

Step-by-step explanation:

Hope I helped!

Answer:

17

Step-by-step explanation:

x + 3x = 68

4x = 68

x = 17

Answer:

-5x-4

Step-by-step explanation:

Answer:

-5x - 4

Step-by-step explanation:

Add the x values to get -5 then do the same with the other values

Answer:

A. (2, 6)

Step-by-step explanation:

Whenever a question asks for a solution and the graph is shown, the easiest way to find the solution is to see where the lines intersect. In this case, that would be at the point (2, 6).

The correct answer is option A which is the solution of the given equations is (2, 6)

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The two equations y =x+4 and y = -0.5x + 7 intersect at the point ( 2,6) you can see in the graph attached with the answer below.

Whenever a question asks for a solution and the graph is shown, the easiest way to find the solution is to see where the lines intersect. In this case, that would be at the point (2, 6).

Therefore the correct answer is option A which is the solution of the given equations is (2, 6)

To know more about equations follow

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Answer:

I think its the 3rd choice

Answer:

it is the first one

Step-by-step explanation:

because you have to add 2 to the 2 and the 4

Answer:

1

Step-by-step explanation:

doesn't work hard enough

Answer: $7.31

Step-by-step explanation:

30j+40% + 25j= 562.8

30j+25j= 55j

55j + 40% = 562.8

40% of 55 is 22

77j = 562.8

562.8 77 = 7.309090909.....

Simplify 7.309090909

$7.31 Per hour.

Answer:get with your older brother

Step-by-step explanation:

Answer:

that doesnt make sense you can't like 2 people at the same time. dont waste your time. find better :)

Answer: you didnt post graphs to look at

Step-by-step explanation:

Answer:

Step 1: Simplify both sides of the equation.

6(3x−5)−7x=25

(6)(3x)+(6)(−5)+−7x=25(Distribute)

18x+−30+−7x=25

(18x+−7x)+(−30)=25(Combine Like Terms)

11x+−30=25

11x−30=25

Step 2: Add 30 to both sides.

11x−30+30=25+30

11x=55

Step 3: Divide both sides by 11.

x=5

Step-by-step explanation:

The solution to the equation is x = 5.

To solve the equation 6(3x - 5) - 7x = 25, we need to simplify and isolate the variable x. Let's break it down step by step:

Distribute the 6 to the terms inside the parentheses:

18x - 30 - 7x = 25

Combine like terms on the left side of the equation:

(18x - 7x) - 30 = 25

11x - 30 = 25

Move the constant term to the right side by adding 30 to both sides:

11x = 25 + 30

11x = 55

Finally, isolate x by dividing both sides of the equation by 11:

x = 55 / 11

x = 5

Hence, the solution to the equation is x = 5. By simplifying and applying algebraic operations, we find that when x is equal to 5, the equation 6(3x - 5) - 7x = 25 holds true.

To learn more about the equation;

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Answer:

I would say about 67 minutes

Answer:

The answer to this question 6(4a-3b)

Answer:

6(4a-3b)

Step-by-step explanation:

Answer:

=22

Step-by-step explanation:

16 + ( 48/8)

operate on the brackets first

16 + 6

22

Answer:

5

Step-by-step explanation:

This is because

Answer:

(−2,−6)

Step-by-step explanation:

i got it right

Answer:

6

Step-by-step explanation:

But not too sure tho make sure of it

Answer:

Lesser x = -7

Greater x = 7

Step-by-step explanation:

g(x)= -10x² + 490

don't ask me Khan academy says so

Answer:

lesser x=-7 greater x=7

Step-by-step explanation:

use algebra to find x^2 by itself

x^2 =49

now take the square root of booth sides, both positive and negative

and you have your answer

Answer:

The number of fishes person b initially has is 0

The number of fishes person a initially has is x, where x is any natural number

Step-by-step explanation:

The given parameters are;

let x represent the number of fish person a catches and let y represent the number of fishes that person b catches, we have;

x - x/2 = y + x/2

2·x - x = 2·y + x

2·x = 2·y + 2·x

∴ y = 0

Therefore;

The number of fishes person b initially has = 0

The number of fishes person a initially has = x, where x is any natural number.

Answer:

(3, 2)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

40% of 80 is 32

25% of 60 is 15

10% of 90 is 9

Answer:

7+4x=13+x

4x-x=13-7

3x=6

3 3

x =2

Step-by-step explanation:

because when 7 crosses the equal to sign it becomes negative and when the x from the other side crosses the equal sign it also will become negative which will become 4x-x=13-7

which is 3x=6 so u divide both sides by the coefficient of x which is three which will give u 2

Why urgent?

See attachment for math work and answer.

I gave you two different answers for 2b.

Answer:

7

Step-by-step explanation: