4 pencils . 4/9 of an hour = 4/9 of 60 minutes = 4/9 * 60 = 80/3 minutes
x pencils = ? . one hour = 60 minutes
14 * 60 = 80/3 * x /*3
14 * 60 * 3 = 80 * x
80 * x = 2520 /80
x = 2520 / 80
x = 31.5 pencils
The result would be 32 pencils in one hour.
Answer:
A
Step-by-step explanation:
Since DE is parallel to AB and intersects the other 2 sides, it divides those sides proportionally, that is
=
Note that AD = 33 - 22 = 11
Substitute values into the ratio
= = ( cross- multiply )
2x = 16 ( divide both sides by 2 )
x = 8
To find y use similar triangles
Δ ABC is similar to Δ DEC, thus ratios of corresponding sides are equal
= , substitute values
= = ( cross- multiply )
3y = 36 ( divide both sides by 3 )
y = 12
Thus y = 12, x = 8 → A
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.
Basically, what you need to do is subtract 275 from 425. When you do that, you get 150, so that was the change in her score. I hope this helps! :)