Answer:
See below in bold.
Step-by-step explanation:
1. x/8 = 15/24
Cross multiplying:
24x = 8*15
x = (8*15)/24
x = 5.
2. 5/6 = 35/x
5x = 6*35
5x = 210
x = 210/5
x = 42.
3.<em> </em>18/42
Divide top and bottom by 6:
18 / 6 / 42/6
= 3/7.
4. 15/75
Divide top and bottom by 15:
= 1/5.
Answer:
divide one number by another. dividend ÷ divisor = quotient.
Step-by-step explanation:
Example: in 12 ÷ 3 = 4, 4 is the quotient.
Answer:
set middle number=x
then left side number=x-1
and right side number=x+1
(x-1)+x+(x+1)=30
3x=30
x=10
x-1=9
x+1=11
numbers are 9,10,11
Answer:
3x^3 - 11x^2 + 93x - 105
Step-by-step explanation:
(x+5) (x-9) (x+1) (3) FOIL (First, Outside, Inside, Last)...
x^2 - 9x + 5x - 35 (3x+3) Multiply
3x^3 + 3x^2 - 27x^2 - 27x + 15x^2 + 15x - 105x - 105 Combine Like Terms...
3x^3 - 11x^2 + 93x - 105
Volume of the first aquarium = (12" x 13" x 14") = 2,184 inches³
Volume of the second aquarium = (32" x 34" x 35") = 38,080 inches³
The second aquarium has (38,080 / 2,184) = 17.44 times as much
volume as the first aquarium has.
So it'll take the hose 17.44 times as long to fill the second one
= (17.44) x (2 minutes) = 34.9 minutes.