3 years ago

The ratio of girls to boys in a particular classroom is 8: 7. How many boys are in the class if there are 45 students?

Mathematics

1 answer:

Dmitry [639]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

Rearranging the given ratio, we can find the ratio of boys to the total.

boys : (boys +girls) = 7 : (7+8) = 7 : 15

Then the number of boys is ...

(7/15)(45) = 21

There are 21 boys in the classroom.

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Megan has a piece of fabric which is a right triangular shape. The length of leg 1 is 4 m. The length of the other leg is twice

Bess [88]

Answer:

8.94 m

Step-by-step explanation:

Use the Pythagorean Theorum - $a^2 + b^2 = c^2$ . Use leg 1 as a, leg 2 as b, and the third side as c.

We know leg 1 is 4, and that leg 2 is twice as long as leg 1...

$(4)^2 + (4*2)^2 = c^2$

Now, we use the Order of Operations to find $c^2$ ...

$4^2+8^2=c^2\\16+64=c^2\\80=c^2$

Now, we find the square root of $c^2$ to find c...

$\sqrt{80} =8.94$

So, the length of the third side is 8.94 m.

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3 years ago

Given the points (9,9) and (-6, -10) find the slope. m =

Ivanshal [37]

1. Observe question

2. Employ Point-Slope formula

(y2 - y1)/(x2 - x1 )=

(-10-9)/(-6-9) =

-19/-15=

19/15

Slope: 19/15

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3 years ago

Read 2 more answers

Profit 504 thousand more than -141 thousand

polet [3.4K]

The other company's profit was 363 thousand dollars more

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3 years ago

a box contains 5 plain pencils and 5 pens. a second box contains 7 color pencils and 5 crayons. one item from each box is chosen

Ket [755]

First box: $\dfrac{pen}{total}=\dfrac{5}{10}=\dfrac{1}{2}$

Second box: $\dfrac{crayon}{total}=\dfrac{5}{12}$

Multiply them:

$\dfrac{1}{2}*\dfrac{5}{12}=\dfrac{5}{24}$

The probabilityis $\dfrac{5}{24}$

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3 years ago

Cube root of 0.000064

const2013 [10]

Cube root of 0.000064 = 0.04

hope it helps
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3 years ago