Answer:
36 cents.
Step-by-step explanation:
20 percent of $1.80 is 36 cents
Answer:
1) 2 hours
2) 96 miles
Step-by-step explanation:
1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.
<u>Elliot:</u>
Distance = 8 miles
Speed = x mph
Time 
hours
<u>William:</u>
Distance = 12 miles
Speed = x mph
Time 
hours
It took Eliot 
less than William, then
![\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7Bx%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D-%5Cdfrac%7B8%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B4%7D%7Bx%7D%5C%5C%20%5C%5C2x%3D3%5Ccdot%204%5C%20%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C2x%3D12%5C%5C%20%5C%5Cx%3D6%5C%20mph)
So, William's hike was
hours long.
2) <u>Initially:</u>
Distance = 120 miles
Speed = 55 mph
Time 
hours
<u>Final:</u>
Speed = 44 mph
Time 
hours
Distance 
Ratio and Proportions
61:70=ratio of statue
?:22=61:70
?/22=61/70
Move 22 over the equal sign
?=61*22/70
?=1342/70
?=19.1714286
The tree is 19.1714286m tall
Hope this helps!
Answer:
720 apples
Step-by-step explanation:
Let A be the number of apples in the small pack.
QTY for Small Cartons is 15A,
QTY for Big Cartons is 20(A+15) = 20A+300
From small cartons makes 25% or 1/4 of total, means the big carton makes 75% of total, or 3/4 of total. This also means the qty in big carton is 3 times of small carton
20A+300 = 3X (15A)= 45A
300 = 25A
A=12
Altogether = 15A+(20A+300) = 720 Apples
Answer:
Step-by-step explanation:
Simplifying
W + -2 + 2w = 6 + 5w
Reorder the terms:
-2 + W + 2w = 6 + 5w
Solving
-2 + W + 2w = 6 + 5w
Solving for variable 'W'.
Move all terms containing W to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + W + 2 + 2w = 6 + 2 + 5w
Reorder the terms:
-2 + 2 + W + 2w = 6 + 2 + 5w
Combine like terms: -2 + 2 = 0
0 + W + 2w = 6 + 2 + 5w
W + 2w = 6 + 2 + 5w
Combine like terms: 6 + 2 = 8
W + 2w = 8 + 5w
Add '-2w' to each side of the equation.
W + 2w + -2w = 8 + 5w + -2w
Combine like terms: 2w + -2w = 0
W + 0 = 8 + 5w + -2w
W = 8 + 5w + -2w
Combine like terms: 5w + -2w = 3w
W = 8 + 3w
Simplifying
W = 8 + 3w
