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3 years ago

There are 460 studets enrolled at Freedom Academy. 40 percent of the students are male. How many students are male?

1 answer:

fomenos3 years ago

7 0

184 students are male
40/100= x/460
you are going to divide 460 by 100 and you'll get 4.6
then you'll want to multiply 4.6 by 40 and you'll get your answer

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Whats the density of an object with the length of 5.0 cm a height of 3.0 and width of 15.0 cm and a mass of 24 grams

Sphinxa [80]

Answer:

The density of the object is $0.1067$ grams per cubic centimeter. (Rounded off to 4th decimal)

Step-by-step explanation:

Density = [Mass/Volume]

Here we have been given the dimensions of the object.

Volume = Height * Width * Length

Volume = $3.0cm*15.0cm*5.0cm$

= $225cm^{3}$

Now we can substitute the Mass and the Volume to the density equation.

Density = [Mass/Volume]

= $\frac{24grams}{225cm^{3} }$

= $0.1067$ grams per cubic centimeter. (Rounded off to 4th decimal)

4 0

3 years ago

8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the

marissa [1.9K]

Answer:

$\sf y = \bold -\frac{2}{5} x -3$

Explanation:

part A identification for slope:

$\sf 2x + 5y = 15$

$\sf 5y = -2x + 15$

$\sf y = \frac{-2x + 15}{5}$

$\sf y = -\frac{2 }{5} x+3$

comparing with slope intercept form: y = mx + b

we can find that here the slope is $\bold -\frac{2}{5}$

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

$\sf y - 1 = \bold -\frac{2}{5} (x --10)$

$\sf y = \bold -\frac{2}{5} x -4 + 1$

$\sf y = \bold -\frac{2}{5} x -3$

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.