X: liters of 15% orange juice
y: liters of 10% orange juice
x+y=5L
y=5L - x
x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:
0.15x+0.10y = 0.12(5L)
0.15x+0.10(5L-x)=0.12(5L)
0.15x+0.5-0.10x=0.6
0.05x=0.1L
x=2L
so y = 3L
so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice
A circular plot is watered by a sprinkler that rotates through it. The sprinkler only rotates through a semi-circle, or half of the whole circle.
Area of a circle: A = pi x r^2
r = 160 / 2 = 80
A = pi x 80^2
A = 6400pi / 2 = 3200pi
3200pi = 10053.0965
The area water is approximately 10,053 ft^2.
Hope this helps!! :)
The new triangle is gonna be bigger. But how big? Let’s look at A.
A= 2,8
Look at A’, it’s 6,24. See a pattern??
Multiply 2,8 by 3. It’s triple the amount, therefore the scale factor is 3.
To double check, multiply by 3 to B and C and see what you get.
