Answer:
7x/12
Step-by-step explanation:
Let her entire allowance be represented by 'x'
She spent 5/8 of 2/3 of her allowance on magazines.
= 5/8×2/3
= 10/24
= 5/12
That 5/12 of 'x'
5/12x
Since her total allowance is x
She will be left with = x - 5/12x
x/1 - 5/12x
12x-5x/12x
= 7x/12
Hence she will be left with 7x/12
Answer:
f(x) = 2x + 2^4 is a function.
Numerator is 57.
denominator is 78
therefore, the fraction is numerator/denominator (to the nearest tenth) = 73.1%
Answer:
Step-by-step explanation:
x²+5x-84
look for the factors of 84 that when you add together it will give +5
look for the factors of 84 that when you multiply together it will give -84
12 and 7
addition, multiplication
-12+7 = -5 -84
-12-7= -19 84
+12-7 = +5 -84 correct
then equate into the =5x and -84
x²+12x-7x-84
then factorize
x(x+12)-7(x+12)
(x-7)(x+12)
The volume of the original cylinder is
... V = π·r²·h
For r=1 and h=1, this is
... V = π·1²·1 = π
For the new cylinder, the volume is 1.089 times that amount.
... V = 1.089π = π·1.1²·(1-k)
... 1.089/1.21 = 1-k
... k = 1 - 1.089/1.21 = 1 - 0.9 = 0.1 = 10%
The appropriate choice is (B) 10.
