D.
This is because:
8/8 rounds up to a whole number and 12/9 and 3/2 are improper fractions as the numerator (top number) is more than the denominator (bottom number)
Answer:
The radius of the cylinder is: r = 11 yards
Step-by-step explanation:
Given
The height of cylinder = h = 16 yards
Volume of cylinder = V = 6079.04 cubic yards
To determine
The radius of cylinder = r = ?
Using the formula involving volume of the cyliner
V = πr²h
substituting h = 16, V = 6079.04 and π = 3.14
6079.04 = 3.14 (r²) 16
r² = [6079.04] / [(3.14) (16)]
r² = 6079.04 / 50.24
r² = 121
As radius can not be negative.
Therefore, the radius of the cylinder is: r = 11 yards
Answer:
q = -1
Step-by-step explanation:
Solve for q:
15 - 3 (q - 4) = -5 (q - 7) - 10
-3 (q - 4) = 12 - 3 q:
12 - 3 q + 15 = -5 (q - 7) - 10
Grouping like terms, -3 q + 12 + 15 = (12 + 15) - 3 q:
(12 + 15) - 3 q = -5 (q - 7) - 10
12 + 15 = 27:
27 - 3 q = -5 (q - 7) - 10
-5 (q - 7) = 35 - 5 q:
27 - 3 q = 35 - 5 q - 10
Grouping like terms, -5 q - 10 + 35 = (35 - 10) - 5 q:
27 - 3 q = (35 - 10) - 5 q
35 - 10 = 25:
27 - 3 q = 25 - 5 q
Add 5 q to both sides:
5 q - 3 q + 27 = (5 q - 5 q) + 25
5 q - 5 q = 0:
5 q - 3 q + 27 = 25
5 q - 3 q = 2 q:
2 q + 27 = 25
Subtract 27 from both sides:
2 q + (27 - 27) = 25 - 27
27 - 27 = 0:
2 q = 25 - 27
25 - 27 = -2:
2 q = -2
Divide both sides of 2 q = -2 by 2:
(2 q)/2 = (-2)/2
2/2 = 1:
q = (-2)/2
The gcd of -2 and 2 is 2, so (-2)/2 = (2 (-1))/(2×1) = 2/2×-1 = -1:
Answer: q = -1
Answer:
An example of an equation is 4.5 + x = 13.2 because it shows that two expressions are equal.
An example of an expression is 4.5 + x = 13.2 because it’s a mathematical phrase represented by numbers, a variable , and operations .
Step-by-step explanation:
