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BARSIC [14]
3 years ago
10

5. At Euclid Middle School, of the 30 girls who tried out for the lacrosse team, 12 were selected and of the 40 boys who tried o

ut, 16 were selected. Are the ratios of number of students on the team to number of student trying out the same for both boys and girls? How do you know?
Mathematics
1 answer:
kondaur [170]3 years ago
4 0
For the girls:

12:30

Simplifying it, we get:

6: 15
2: 5

For the boys:

16:40

Simplifying it, we get:

8:20
4:10
2:5

So yes, the ratios are both the same for boys and girls.
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The angle measurement in the diagram are represented by the following expressions.
8_murik_8 [283]

Answer:

x = 9 and ∠ B = 40°

Step-by-step explanation:

See the diagram given with the question first.

Here we have ∠ A = ∠ B {They are corresponding angles}

Now, it is given that ∠ A = 5x - 5 and ∠ B = 3x + 13

Hence, 5x - 5 = 3x + 13

⇒ 2x = 18

⇒ x = 9

Therefore, ∠ B = 3x + 13 = 3(9) + 13 = 40° (Answer)

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2 years ago
10$ is spent on 2 big pails and 1 small one. A smail pail cosf half as much as each big one. How much is spent on a big pail? Ho
Mila [183]

Answer:

<u>$4</u> is spent on a big pail and <u>$2</u> is spent on a small pail.

Step-by-step explanation:

Given:

10$ is spent on 2 big pails and 1 small one.

A small pail cost half as much as each big one.

Now, to find the amount spent on a big pail and on a small pail.

Let the cost of a big pail be x.

And the cost of small pail be \frac{x}{2} .

As given, there are 2 big pails.

And the total money spent = $10.

According to question:

(x+x)+\frac{x}{2}=10

2x +\frac{x}{2}=10

\frac{4x+x}{2} =10

\frac{5x}{2} =10

<em>Multiplying both sides by 2 we get:</em>

5x=20

<em>Dividing both sides by 5 we get:</em>

x=4.

<em>The cost of a big pail</em> = $4.

<em>So, the cost of a small pail</em> = \frac{x}{2} =\frac{4}{2}=\$2.

Therefore, $4 is spent on a big pail and $2 is spent on a small pail.

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Margaret [11]

The answer is -7

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Hope that helps.

7 0
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