Take the number "of" divided by the other number then multiply it by 100% to get the percentage.
(21/33.5) ×100%= 62%
Answer:
feet
Step-by-step explanation:
The total change is the sum of the length of two boards she cut.
First board length is 1 7/8th feet. Let's change to improper fraction:
1 7/8 = 15/8 feet
Second board lengrh is 3.5 feet, or 3 1/2 feet. Let's change to improper fraction:
3 1/2 = 7/2 feet
Let's add the two:
![\frac{15}{8}+\frac{7}{2}\\=\frac{15+28}{8}\\=\frac{43}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B8%7D%2B%5Cfrac%7B7%7D%7B2%7D%5C%5C%3D%5Cfrac%7B15%2B28%7D%7B8%7D%5C%5C%3D%5Cfrac%7B43%7D%7B8%7D)
The change in original board is 43/8 feet
Answer:
∠A = ∠C = 45° and ∠B = ∠D = 135°
Step-by-step explanation:
In the picture attached ABCD is a parallelogram in which the measure of angle C is one third of the measure of angle B.
Since in a parallelogram opposite angle are equal then we can say easily that ∠A = ∠C and ∠B = ∠D
We know in a parallelogram sum of all internal angles = 360°
Therefore ∠A + ∠B +∠C + ∠D = 360°
Since ∠A = ∠C and ∠D = ∠B
∠C + ∠B + ∠C + ∠B = 360°
2(∠B + ∠C) =360
∠B + ∠C = 180
Now ∠C = 1/3×∠B
∠B + 1/3×∠B = 180
4/3 ×(∠B) =180
∠B = ![\frac{3}{4}(180) = 135](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%28180%29%20%3D%20135)
∠C = 1/3×∠B = 135/3 = 45°
Therefore ∠B = ∠D = 135° and ∠A = ∠C = 45°
Answer:
x = 9
y = 9
Step-by-step explanation:
Given :
Let :
Kenyan French roast coffee = x
Cost per x = $8
Sumatran Coffee = y
Cost per y = $10
x + y = 18 - - - - (1)
8x + 10y = 9 * 18 ;
8x + 10y = 162 - - - - (2)
From (1):
x = 18 - y
Put x = 18 - y in (2)
8(18 - y) + 10y = 162
144 - 8y + 10y = 162
2y = 162 - 144
2y = 18
y = 9
x = 18 - y
x = 18 - 9
x = 9