When solving these proportions we just remember when moving a number from one side to the other if it started in the numerator it ends up in the denominator and vice versa.
I'll do it in two steps here for teaching purposes; it's not too hard to go directly to the answer.
Length should be 2/5yd:
18inch*1yd/36inch=.5yd=> depth
volume= 2(length*width+lenght*depth+depth*width)
let l to be the length.
volume= 2(l*2+2(.5)+.5*2)
volume=5l+2
4=5l+2
2=5l
l=2/5
Answer:
A pound is a measure of weight and a cup is a measure of volume.
Step-by-step explanation:
Answer:
20 + 1 + 0.9 + 0.07
Step-by-step explanation:
Given the number 21.97 ;
To wite in expanded form:
Tens ___ Unit ____ tenth ____ hundredth
2_______ 1 _______ 9_________ 7
2 = 20
1 = 1
9 = 0.9
7 = 0.07
Hence,
20 + 1 + 0.9 + 0.07
First square both sides to get:
c + 22 = (c + 2)^2
or
c + 22 = c^2 + 4c + 4
Move the terms on the left side to the right side:
c^2 + 3c - 18 = 0
Factor to get:
(c + 6) * (c - 3) = 0.
The solutions are c = -6 and c = 3.
Check to see if these answers work by plugging them into the original equation:
c = -6:
sqrt (-6 + 22) ?= -6 + 2
But, -6 + 2 is a negative number, and you can't get a negative from a square root. So, -6 is extraneous.
c = 3:
sqrt (3 + 22) ?= 3 + 2
5 = 5. So, 3 works.
The answer is: B
