It takes 120 newspapers to fill 8 recycling bins. What is the unit rate in newspapers per recycling bin?

A regulation basketball hoop has a rim with an 18-inch diameter. What is the approximate length around the rim of a regulation b

pogonyaev

Answer:

Step-by-step explanation:

4 0

4 years ago

<img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B5x%2B3y%3D1%7D%20%5Catop%20%7B7x%2B3y%3D5%7D%7D%20%5Cright." id="TexF

Elena-2011 [213]

Answer:

(2, - 3)

Step-by-step explanation:

given the 2 equations

5x + 3y = 1 → (1)

7x + 3y = 5 → (2)

multiply all terms in (1) by - 1

- 5x - 3y = - 1 → (3)

add (2) and (3) term by term to eliminate the term in y

(7x - 5x) + (3y - 3y) = (5 - 1)

2x = 4 ( divide both sides by 2 )

x = 2

Substitute x = 2 in either (1) or (2) for corresponding value of y

(2) : 14 + 3y = 5 ( subtract 14 from both sides )

3y = - 9 ( divide both sides by 3 )

y = - 3

solution is (2, - 3)

5 0

3 years ago

Find cos (2 theta angle) if sin (theta angle) =4/5

nataly862011 [7]

Sin(theta) = 4/5, $cos^{2} (theta)=1-( \frac{4}{5})^{2} = 1 - \frac{16}{25} = \frac{9}{25}$ We will switch it to formula: $cos(2 theta)=cos^{2} (theta)-sin^{2} (theta)= \frac{9}{25} - \frac{16}{25}=- \frac{7}{25}$

5 0

4 years ago

What is (-3, -14) and (0, -9) written in slope intercept form? Thank you!

klasskru [66]

Answer:

Y= 5/3x + -9

Step-by-step explanation:

Well its

y=mx+b

m is slope

B is y intercept

To fidn y intercept, just make sure the X value of any coordiante given is 0 and the y value is not 0. So basically anything with (0, y), thats your y intercept.

Slope Is just

(y2-y1) / (x2-x1)

7 0

3 years ago

Read 2 more answers

The U.S. Census Bureau conducts annual surveys to obtain information on the percentage of the voting-age population that is regi

Digiron [165]

Answer:

Yes. We can conclude that the percentage of the employed workers (p1), who have registered to vote, exceeds the percentage of unemployed workers (p2), who have registered to vote.

Step-by-step explanation:

Number of employed persons in the sample = 700

Number of unemployed person in the sample = 300

Number of employed persons who have registered to vote (p1) = 500

Number of unemployed persons who have registered to vote (p2) = 200

Proportion of registered voters who are employed = 500/700 = 71.4%

Proportion of registered voters who are unemployed = 200/700 = 28.6%

This implies that the percentage of registered voters who are employed is more than the percentage of registered voters who are employed. 71.4% (500/700) of the employed registered to vote as against 66.7% (200/300) of the unemployed who registered to vote.

We can conclude that of the 700 registered voters in the sample, 71.4% (500/700) are employed while 28.6% (200/700) are unemployed.

Therefore, the percentage of the employed workers (p1), who have registered to vote, exceeds the percentage of unemployed workers (p2), who have registered to vote.

7 0

3 years ago