Answer:
x=9
Step-by-step explanation:
Original equation: 16x-8-14x=10
Combine like terms: 2x-8=10
Add 8 to both sides: 2x=18
Divide by 2 on both sides: x=9
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Answer: 
Step-by-step explanation:
You need to use the following formula for calculate the area of a square:

Where "s" is the lenght of any side of the square.
You know that the area of a mural is
. Then, you can substitute this area into the formula and solve for "s", in order to find the side lenght of the mural.
Therefore, this is:

Answer:
The symphonic choir can record a maximum of 14 songs.
Step-by-step explanation:
We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of
song minutes.
If we call
the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are
; therefore, we have the inequality
<em> (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )</em>
We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:



The maximum integer value
can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.
Considering the perimeter of the rectangle, we have that the length is of 9 inches and the width is of 55 inches.
<h3>What is the perimeter of a rectangle?</h3>
The perimeter of a rectangle of length l and width w is given as follows:
P = 2(l + w).
The length is an odd integer and the width is <u>5 times the next consecutive odd integer,</u> hence:
l = x, w = 5(x + 2).
The perimeter is of 128 inches, hence:
128 = 2l + 2w
128 = 2x + 10(x + 2)
128 = 2x + 10x + 20
12x = 108
x = 9.
Hence the length is of 9 inches and the width is of 55 inches.
More can be learned about the perimeter of a rectangle at brainly.com/question/10489198
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Answer:
3 1/3 is your answer.
Step-by-step explanation:
Rewriting equation:
4 + 5/6 - 1 - 1/2
4 - 1 = 3
5/6 - 1/2 = ?
Find the LCD of 5/6 and 1/2 and rewrite to solve.
5/6 - 3/6 = 2/6
2/6 = 1/3
3 + 1/3 = 3 1/3
Whole number: 3
numerator: 1
denominator: 3