Answer:
8 1/8
Step-by-step explanation:
1st I'm going to turn these into improper fractions with a golf swing (multiply the bottom, add the top, keep denominator the same)
3 times 4 + 3 = 15, so we get 15 over 4
4 times 8 + 3 = 35, so we get 35 over 8
Next I am going to give them a common denominator. (Their least common multiple is 8)
one denominator is already 8, so we need to fix the other one by multiplying it by two (multiply both sides)
15/4 times 2/2 = 30/8
Now we add the two fractions (DO NOT ADD DENOMINATORS)
30/8 + 35/8 = 65/8
Finally to make it a mixed number, ask self, how many times does 8 go into 65? 8 times. That's the whole number. what's left over? 1. That is the numerator. The denominator stays the same.
Answer:
42.9 in
Step-by-step explanation:
Volume of a cube = side cubed
V = (3.5)^3
V = 42.875
Answer:
D. 8(4x + 3)
Step-by-step explanation:
32x + 24
The greatest common factor between 32 and 24 is 8.
Options
A. 9(4x + 2) = 36x + 18 (Incorrect!)
B. 5(6x + 5) = 30x + 25 (Incorrect!)
C. 4(8x + 7) = 32x + 28 (Incorrect!)
D. 8(4x + 3) = 32x + 24 (Correct)
The maximum number of mosquitoes would exist if 7.5 inches of rain fell.
We can find that by looking for the maximum value in the equation. This value always falls at the vertex. The x-value of the vertex (which is what we are looking for) can always be found through the equation -b/2a, in which a is equal to the coefficient of x^2 (-1) and b is equal to the coefficient of x (15).
-b/2a
-(15)/2(-1)
-15/-2
7.5
Answer:
100
Step-by-step explanation:
100 cars a month * 12 months a year = 1200