The single shift worked by Reem is 16 hours long.
Total earned = $320
First 8 hours (earning per hour) = $16
Additional hours = $24 per hour
Let the total number of hours worked = m
The Number of hours after 8 hours = m - 8
Representing the scenario with an equation :
(16 × 8) + (24 × (m - 8)) = 320
128 + 24m - 192 = 320
-64 + 24m = 320
24m = 320 + 64
24m = 384
Divide through by 24
m = 384 / 24
m = 16
Hence, the shift is 16 hours long.
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Answer:
D)The height of the red prism is three times the height of the blue prism
Step-by-step explanation:
Here is the complete question
Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.
which statement is true?
a)The height of the red prism is one-third the height of the blue prism
B)The height of the red prism is the same as the height of the blue prism
C)The height of the red prism is six times the height of the blue prism.
D)The height of the red prism is three times the height of the blue prism
Solution
Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂
A₂h₁/3 = A₂h₂
h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.
This is a sum and difference problem, with the equations
R-N=35
R+N=635
The solution of which is
R=(635+35)/2=335
N=(635-35)/2=300
In general, the sum and difference problem can be solved (most of the time mentally) using
Larger number = (sum + difference)/2
Smaller number = (sum - difference)/2
Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11
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The answer to your question is here. Hope this helps.
