Answer:
b) 16 c) 0.95
Step-by-step explanation:
There are few things to answer for this problem. First how many gallon of lemonade are left? You had 15 gallons and it's 60% gone. That means that 40% is left. You have to figure out how much 40% of 15 is. You do that by multiplying 15 x 0.40. The answer is 6.
Next, how much ice tea did you make? You figure this out with the ration 3:4 which can also be written as the fraction 3/4. The lemonade is the three and you know you made 15 gallons of that. 15 is 3 x 5. If you multiply the 4 times 5 also you will find out how much iced tea you made - 20 gallons.
How many gallons of iced tea are left? You figure this out by multiplying the percent left - 48% (100 - 52) by 20 gallons. 20 x 0.48 = 9.6 gallons.
Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
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<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
Hi there!
![\large\boxed{(x + 2)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28x%20%2B%202%29%7D)
x² + 3x + 2
We know that x + 1 is a factor, so:
We must find another number that adds up to 3 when added to 1 and multiplies into 2 with 1. We get:
x + 2
(x + 1)(x + 2)