This is a division problem involving fractions.
57 / (3/4)
57 * (4/3) =
128/3 = 76 pieces of wire
A) 2^(x+3)= 4^(2x)
make base number the same
2^(x+3)= 2^2 (2x)
set the exponents equal to eachother
x+3=2 (2x)
x+3=4x
-x both sides
3=3x
÷3 both sides
x=1
b) 16^(1/5)×2^(x)=8^(3/4)
make base same number
2^4 (1/5)×2^(x)=2^3 (3/4)
2^(4/5)×2^(x)=2^(9/4)
set exponents
4/5 +x=9/4
-4/5 both sides
x= 29/20
Answer:
Step-by-step explanation:
21/8 * 4/1 = 21/2 = 10.5 cups
8x - 9y = 11
Subtract 8x to both sides:
-9y = -8x + 11
Divide -9 to both sides:
y = 8/9x - 11/9
or
y = 8/9x - 1 2/9
A cardinal number of a set is the number of elemenents it contains. Therefore the cardinal number of A is equal to 5.
