4 years ago

2m-7greater than or equal to 13-2m

1 answer:

7 0

$2m-7 \geq 13-2m \ \ |+2m\\ \\ 2m+2m-7 \geq 13-2m+2m \\ \\4m-7\geq 13 \ \ |+7 \\ \\4m-7 +7\geq 13+7\\ \\4m\geq 20 \ \ / :4 \\ \\ \frac{4}{4}\cdot m\geq \frac{20 }{4}\\ \\m\geq 5$

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The ratio of boys to girls in a school is 5:8.If the number of girls exceeds the number of boys by 144, calculate the total numb

True [87]

Answer:

Step-by-step explanation:

624 students

Since they’re only 3 parts more girls then boys and the number equals 144, you just have to divide 144 by 3. You’ll get 48

Multiply 5 and 8 by 48 to get 240 and 384 and add to get 624 which is the answer

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3 years ago

the length of a rectangle is 2 in more than it's w i d t h the area of a rectangle is equal to 1 inch less than three times a pe

Marizza181 [45]

If we let x and y represent length and width, respectively, then we can write equations according to the problem statement.
.. x = y +2
.. xy = 3(2(x +y)) -1

This can be solved a variety of ways. I find a graphing calculator provides an easy solution: (x, y) = (13, 11).

The length of the rectangle is 13 inches.
The width of the rectangle is 11 inches.

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Just so you're aware, the problem statement is nonsensical. You cannot compare perimeter (inches) to area (square inches). You can compare their numerical values, but the units are different, so there is no direct comparison.