Answer:
x = 25
Step-by-step explanation:
Noting that these figures are similar, we set up and solve an equation of ratios:
x 30
---- = ------
15 18
Cross multiplying, we get:
18x = 30(15), or 3x = 5(15) = 75. Then x must be 25.
Answer:
V ≈ 254.5 in³
Step-by-step explanation:
The volume (V) of the cylindrical tube is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × 3² × 9 = π × 9 × 9 = 81π ≈ 254.5 in³ ( to 1 dec. place )
Correct Question:
5 (u + 1) - 7 = 3 (u - 1) + 2u.
Solve for u
Answer:
See explanation below
Step-by-step explanation:
In this given question, we are required to find u.
Given the equation:
5 (u + 1) - 7 = 3 (u - 1) + 2u
Required:
Solve for u
To find u, first simplify both sides individually.
Simply 5 (u + 1) - 7:
Expand the parenthesis:
5u + 5 - 7
Collect like terms:
5u - 2
<em>Simplify 3 (u - 1) + 2u:</em>
Expand the parenthesis:
3u - 3 + 2u
Collect like terms:
3u + 2u - 3
5u - 3
Bring both simplified equations together:
5u - 2 = 5u - 3
5u - 5u - 2 = -3
-2 = -3
Since -2 ≠ -3, there is no solution.
Therefore, we can say the equation is invalid.