Basically, unit rates are special ratios with two different terms with two different units.
1. 3 inches of rain in 6 hours
Answer: 3 inches:6 hours
2. 70 miles in 2 hours
Answer: 70 miles:2 hours.
It's easy!
Answer:
x=21/23
Step-by-step explanation:
Solve for x:
3x+5y=21−20x+5y
Add 20x to both sides:
3x+5y+20x=−20x+5y+21+20x
23x+5y=5y+21
Subtract 5y to both sides:
23x+5y+−5y=5y+21+−5y
23x=21
Divide both sides by 23:
x=21/23
Answer:
w = 7 cm
Step-by-step explanation:
Volume = 252 cm³
Height, h = 3cm
Let width = w
Length, l = w + 5
Volume of rectangular prism, V = l * w * h
252 = (w + 5) * w * 3
252 = (w + 5) * 3w
252 = 3w² + 15w
3w² + 15w - 252 = 0
w² + 5w - 84 = 0
w² + 12w - 7w - 84 = 0
w(w + 12) - 7(w + 12) = 0
(w + 12) = 0 or (w - 7) = 0
w = - 12 or w = 7
w cannot be negative
Hence, w = 7 cm
