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Tanya [424]
3 years ago
14

The ratio of the number of girls to the number of boys in a choir is 5 to 4. There are 120 girls in the choir. How many boys are

in the choir?​
Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

96

Step-by-step explanation:

5:4

Both sides have to be equal.

120 divided by 5 is 24.

4 times 24 is <u>96</u>.

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8x - 9 - 5x = 3x - 36 - 18x
makkiz [27]

Answer:

8x - 9 - 5x = 3x - 36 - 18x \\ 8x - 5x - 9 = 3x - 18x - 36 \\ 3x - 9 =  - 15x - 36 \\ 3x =  - 15x - 36 + 9 \\ 3x =  - 15x - 27 \\ 3x +  - 15x =  - 27 \\  - 12x =  - 27 \\ x =  \frac{ 27}{12}

8 0
3 years ago
A house purchased for $216,500 gains 2% of its value every year. If this growth rate continues, in how many years will the house
NikAS [45]

Answer: 36 years

Step-by-step explanation:

You can use the Rule of 72 to calculate how long it might take the house to double in value.

The Rule of 72 works by dividing 72 by the interest rate as a whole number and the result will be a rough estimate of the time in years it will take for the investment to double in size:

= 72 / 2

= 36 years

3 0
3 years ago
(9, 19) (2, 16)<br> Write the coordinates as decimals or integers.
9966 [12]

Answer:

In decimal 0.428571428

Step-by-step explanation:

The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9

The slope = (16 - 19)/(2 -9)

The slope = (-3)/(-7)

The slope = 0.428571428

So in decimal form the coordinates are going to be written as 0.428571428

Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.

6 0
3 years ago
a 36 inch board is to be cut into three pieces so that the piece is twice as long as the first piece and the third piece is 3 ti
ICE Princess25 [194]

Answer:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

Step-by-step explanation:

Length of the first piece = x

Length of the second piece = 2x

Length of the third piece = 3x

Total length is 36 inches:

x + 2x + 3x = 36

6x = 36

x = 6

Therefore, the lengths are:

First piece = 6 inches

Second piece = 12 inches

Third piece = 18 inches

7 0
3 years ago
A file that is 289 MB is being downloaded. If the download it is 14.1% complete, how many megabytes have been downloaded?
Greeley [361]

Answer:

40

Step-by-step explanation:

5 0
1 year ago
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