Write a proportion that could be used to solve for each variable. Then solve.

Mathematics

1 answer:

iren [92.7K]2 years ago

4 0

60/25 = 12/Y
cross multiply and divide

25 x 12 = 300

300 / 60 = 5

Y = 5 boxes

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The ratio of students who wear glasses to the total number of students in the class is 2:5 if there are 14 students who wear gla

vazorg [7]

Answer:

35 students in the class.

Step-by-step explanation:

If there are 5 students in the class, then 2 of them would wear glasses and 3 of them wouldn't. (Equation 1)

Now, there are 14 students how are wearing glasses.

We just times the whole Equation 1 by 7.

If there are 5 x 7 = 35 students in the class, then 2 x 7 = 14 of them would wear glasses and 3 x 7 = 21 of them wouldn't.

So, there are 35 students.

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2 years ago

N x 50 = 5,000. Explain your solution

prohojiy [21]

In order to figure out what N is you have to isolate it by dividing by 50 on both sides as shown below:
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2 years ago

What is an exact solution for <br><img src="https://tex.z-dn.net/?f=m%20%5Csqrt%7B14%7D%20" id="TexFormula1" title="m \sqrt{14}

AlexFokin [52]

Answer: Choice B) $\sqrt{14}$

We have some value m and we're squaring it to get $m^2$

To undo this and isolate m, we apply the square root to both sides

$m^2 = 14\\\\\sqrt{m^2} = \sqrt{14}\\\\|m| = \sqrt{14}\\\\m = \sqrt{14} \text{ or } m = -\sqrt{14}$

There are two solutions here. This is similar to how there are two solutions in something like $x^2 = 25$ (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because