The answer is C. It’s because you distribute the exponent on the outside by multiplying each exponent on the inside of the parenthesis.
Answer:
x=4.5 y=18.75
Step-by-step explanation:
solve using pythagorean theorem :
hypothenus²=opposite²+adjacent²
for y:
y²=15²+11.25²
y²=225+126.5625
y²=351.5625
y=18.75
for x:
7.5²=6²+x²
x²=7.5²-6²
x²= 56.25-36
x²=20.25
x=4.5
Distribute
remember a(b+c)=ab+ac
8(y+4)=8(y)+8(4)=8y+32
8y+32=7y+38
minus 7y both sides
y+32=38
mius 32 oth sides
y=6
Answer:
The owner's profit for a ten-day period is $4675
Step-by-step explanation:
Each day a small business owner sells 200 pizza slices for $1.50 per slice and 85 sandwiches at $3.50 each.
Let's find the revenue.
Revenue = 200($1.50) + 85($3.50)
= $300 + $297.50
Revenue per day = $597.50
Revenue for 10 days = 10($597.50) = $5975
Business expenses per day = $130
Business expenses for 10 days = 10($130) = $1300
Now let's find the profit.
Profit for 10 days = Revenue - Expense
= $5975 - $1300
= $4675
So the owner's profit for a ten-day period is $4675
By substitution,
1.5x - 6 = -4.5x + 21
6x = 27
x = 4.5
Hence, y = 1.5(4.5) - 6 = 0.75
