Linda should use ...
15 gallons of 80% juice
5 gallons of 60% juice
_____
Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
0.80g +0.60(20 -g) = 0.75×20
0.20g = 20(0.75 -0.60) = 20×0.15
g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
Im assuming you mean 2x^2-3x-9=0 ?
If so, you have to factorise the equation
(2x-3) (x+3) = 0
2x - 3 = 0
2x = 3
x = 1.5
x + 3 = 0
x = -3
x is either 1.5 or -3
The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.
<h3>How do the Sides of Similar Triangles Relate?</h3>
The corresponding sides of similar triangles have ratios that are equal to each other.
The corresponding sides and their ratios are:
4/12 = 1/3
5/15 = 1/3
Therefore, the ratio of their sides in its lowest term is:
C. 4/12 = 5/15 = 1/3
Learn more about the similar triangles on:
brainly.com/question/2644832
#SPJ1
Answer:
12 feets
Step-by-step explanation:
Let the area of the pool be Length×width
There will be 2lengths and 2widths as well so the perimeter of the pool will be the addition of all the sides of the pool i.e 2L + 2W = 96... (1)
And since the length of the pool is 3 times its width, we have
L = 3W... (2)
Substituting equation 2 into 1 to get the width 'W'
2(3W) + 2W = 96
6W + 2W = 96
8W = 96
W = 96/8
W = 12feets
The width of the pool is 12feets
