Answer:
<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount Jonathan paid for the belt = $ 35
Discount = 1/3 off the regular price
Coupon = additional 8% = 0.08
2. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.
We assume the question is asking for the original price of the belt, then we make this calculation:
Amount Jonathan paid for the belt = (Original price - Discount) - Coupon
Replacing with the values we know:
Original price = x
35 = (x - 1/3x) - 0.08x
35 = 2/3x - 0.08x
35 = 0.67x - 0.08x
35 = 0.59x
x = 35/0.59
x = 59.32
<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>
275 divided by 5 is 55. 55 is your answer
This is a system of equations problem:
Part one set up general equations
1) Peanuts = 3x ($3 per pound)
2) Jellybean = 1.5y ($1.50 per pound)
Relate x and y to the information you have
He wants 30lb. total: x + y = 30
He also wants the mixture to be valued at $2.50 per pound = 3x + 1.5y = 30(2.5)
*I'm taking $2.50 times 30 because you want the total cost to equal since he wants $2.50 per pound.
You want to substitute one equation into the other.
x + y = 30
3x + 1.5y = 75
1) x + y = 30 => x = 30 - y
2) 3(30 - y) + 1.5y = 75
3) 90 - 3y + 1.5y = 75
4) -1.5y = -15
5) y = 10lb.
Then plug that into one of the original equations to get x.
6) x+ y = 30 => 10 + x = 30 => x = 20lb.
He wants 20lb. of peanuts and 10lb. of jellybeans
1. Shifts up 9
2. Shifts down 2
3. Reflect over x-axis and shifts left 5
4. Shifts right 4 and down 1
5. Vertical compression of 1/3 and shifts up 2
6. Reflect over x-axis, vertical stretch of 2, and shifts left 4
7. f(x)=-(x-3)^2+7
