The answer is c.
-5(2x-10)=
Distribute
-10x+50
-10(x-5)= -10x+50
Since the price of the cantaloupes is unknown, it will have to represented by a variable. Let's use x.
If Jackson starts with $25 and buys 5 cantaloupes of an unknown price, this subtracts 5 times the amount of 1 cantaloupe (which is x) from that $25.
This is shown as 25 - 5x.
After spending that money, he has $2.50 left over.
This means 25 - 5x = 2.50.
Now you just need to solve this by first isolating the variable.
First, subtract 25 from both sides.
25 - 5x - 25 = -5x
2.50 - 25 = -22.5
Then, divide both sides by -5. It's -5 since 5 is the coefficient and it's negative, so -5.
-5x / -5 = x
-22.5 / -5 = 4.5
This means x = 4.5.
And if x is 4.5, then that means the cost of 1 cantaloupe is $4.50.
We simply have to divide the total miles that the car can travel by the total amount of gallons of gas.
So,
42 miles/ (11/6 gallons) = 22.91 miles per gallon
Therefore, Sandy's car gets 22.91 miles per gallon of gas
Answer: 
<u>Step-by-step explanation:</u>
(a) First, find the x-coordinates where the two equations cross
y = -1 and y = 3 - x²
-1 = 3 - x²
-4 = -x²
4 = x²
± 2 = x → These are the upper and lower limits of your integral
Then subtract the two equations and integrate with upper bound of x = 2 and lower bound of x = -2
<u />
![\int_{-2}^{+2}[(3-x^2)-(-1)]dx\\\\\\=\int_{-2}^2(4-x^2)dx\\\\\\=4x-\dfrac{x^3}{3}\bigg|_{-2}^{+2}\\\\\\=\bigg(8-\dfrac{8}{3}\bigg)-\bigg(-8+\dfrac{8}{3}\bigg)\\\\\\=\large\boxed{\dfrac{32}{3}}](https://tex.z-dn.net/?f=%5Cint_%7B-2%7D%5E%7B%2B2%7D%5B%283-x%5E2%29-%28-1%29%5Ddx%5C%5C%5C%5C%5C%5C%3D%5Cint_%7B-2%7D%5E2%284-x%5E2%29dx%5C%5C%5C%5C%5C%5C%3D4x-%5Cdfrac%7Bx%5E3%7D%7B3%7D%5Cbigg%7C_%7B-2%7D%5E%7B%2B2%7D%5C%5C%5C%5C%5C%5C%3D%5Cbigg%288-%5Cdfrac%7B8%7D%7B3%7D%5Cbigg%29-%5Cbigg%28-8%2B%5Cdfrac%7B8%7D%7B3%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B32%7D%7B3%7D%7D)
(b) We know the upper and lower bounds of the y-axis as y = 3 and y = -1
Next, find the equation that we need to integrate by solving for x.
y = 3 - x²
x² + y = 3
x² = 3 - y
x 
Now, subtract the two equations and integrate with upper bound of y = 3 and lower bound of y = -1
![\int_{-1}^{+3}[(\sqrt{3-y})-(-\sqrt{3-y})]dy\\\\\\=\int_{-1}^{+3}(2\sqrt{3-y})dy\\\\\\=\dfrac{-4\sqrt{(3-y)^3}}{3}\bigg|_{-1}^{+3}\\\\\\=\bigg(0\bigg)-\bigg(-\dfrac{32}{3}\bigg)\\\\\\=\large\boxed{\dfrac{32}{3}}](https://tex.z-dn.net/?f=%5Cint_%7B-1%7D%5E%7B%2B3%7D%5B%28%5Csqrt%7B3-y%7D%29-%28-%5Csqrt%7B3-y%7D%29%5Ddy%5C%5C%5C%5C%5C%5C%3D%5Cint_%7B-1%7D%5E%7B%2B3%7D%282%5Csqrt%7B3-y%7D%29dy%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-4%5Csqrt%7B%283-y%29%5E3%7D%7D%7B3%7D%5Cbigg%7C_%7B-1%7D%5E%7B%2B3%7D%5C%5C%5C%5C%5C%5C%3D%5Cbigg%280%5Cbigg%29-%5Cbigg%28-%5Cdfrac%7B32%7D%7B3%7D%5Cbigg%29%5C%5C%5C%5C%5C%5C%3D%5Clarge%5Cboxed%7B%5Cdfrac%7B32%7D%7B3%7D%7D)
Answer:
150=45-35x
answer is 3
Step-by-step explanation:
we start off with $150, which is the total amount
$35 is x, cost of each game
$45 is what is remaining,
first you subtract 45 from both sides,
then you divide both sides by 35 which will get the answer 3
