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3 years ago

Which of the following equations represents a proportional relationship?

Mathematics

1 answer:

IceJOKER [234]3 years ago

8 0

Answer:

Step-by-step explanation:

y=3x

thus, a proportional relationship equation is y=kx .Where k is constant

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The cost to install x number of central air conditioning units for a company is given by the function C(x) = 4000x +1300/3 Use t

Vesna [10]

Given:

The cost to install x number of central air conditioning units for a company is given by the function

$C(x)=\dfrac{4000x+1300}{3}$

To find:

The cost to install 45 air conditioners.

Solution:

We have,

$C(x)=\dfrac{4000x+1300}{3}$

Putting x=45, we get

$C(45)=\dfrac{4000(45)+1300}{3}$

$C(45)=\dfrac{180000+1300}{3}$

$C(45)=\dfrac{181300}{3}$

$C(45)=60433.3333...$

$C(45)\approx 60433.33$

Therefore, the cost to install 45 air conditioners is $60433.33.

4 0

3 years ago

With data from the 2009 National Health Interview Survey, the Centers for Disease Control estimated that 9.4% of U.S. children h

egoroff_w [7]

Answer:

$0.12 -1.96*0.013= 0.094$

$0.12 +1.96*0.013= 0.146$

And the best option would be:

0.094 to 0.146

Step-by-step explanation:

For this case we have the following info given:

$\hat p=0.12$ represent the proportion estimated

$SE = 0.013$ represent the standard error

$Confidence =0.95$ represent the confidence level

The confidence interval for the true proportion is given by:

$\hat p \pm z_{\alpha/2} SE$

And for 95% of confidence the critical value is $z_{\alpha/2}= 1.96$ and replacing we got:

$0.12 -1.96*0.013= 0.094$

$0.12 +1.96*0.013= 0.146$

And the best option would be:

0.094 to 0.146

5 0

3 years ago

Suppose that 21 inches of wire costs 63 cents.

Sergio [31]

<h2>Answer : 144 cents</h2>

Step by step explanation

<u>Given: cost of 21 inches of wire costs 63 cents</u>

<u>Cost of 1 inch wire = 63/21 = 3 cents</u>

<u>Cost of 48 inches of wire = 48×3 = 144 cents</u>

Thanks for joining brainly community!

4 0

2 years ago

Jackson has a table with a square top and he wants to buy a circular piece of lace that will cover the entire top of the table.

DedPeter [7]

Answer:

226.2

Step-by-step explanation:

I took the test. I hope this helps! :)

6 0

3 years ago

PLEASE HELPPP<br><br> Which expression is equivalent to

Anettt [7]

Answer:

Fourth option

Step-by-step explanation:

Given the expression in the picture:

Apply Power of Power Rule

$\frac{64g {}^{9} h {}^{6}k {}^{12} }{8g {}^{3} h {}^{2} }$

$8g {}^{6} h {}^{4} k {}^{12}$

The left side of the equation option had this in the fourth option so the fourth option is right

7 0

3 years ago