Answer: The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Number of boys added: 18
</em>
- <em>Ratio of boys to girls: 5:4
</em>
So, the total number of boys is:
x + 18
Number of girls = y
Number of boys / number of girls = 5/4
(x+18) /y = 5/4
Solving for "y"
4 (x +18) =5 y
4x +72 = 5y
(4x +72) /5 = y
The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5
Take 87-63 = 24, which is the difference of the 2 hours. Divide this by two to get the hourly rate, which is $12.
We can now set up the equation as follows:
4(12) + x = 63
6(12) + x = 87
Now solve for each:
4(12) + x =63
48 + x = 63
x = $15
6(12) + x = $87
72 + x = 87
x = $15
Therefore, the Flat Fee = $15 and the Hourly rate = $12
9514 1404 393
Answer:
x = 12.75
∠C = 51.75°
Step-by-step explanation:
The two marked angles are complementary, so ...
(5x -12) +(3x) = 90
8x = 102
x = 102/8
x = 12.75
__
C = (5x -12)° = (5(12.75) -12)°
∠C = 51.75°
__
<em>Check</em>
E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should
Answer:
0.42
Step-by-step explanation:
divide 100÷42 then the answer is 0.42
Answer:
option b
Step-by-step explanation:
edg2020
