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e-lub [12.9K]
2 years ago
10

Given that y varies directly with x in the table, find the value of y if the value of x is 5.

Mathematics
1 answer:
Talja [164]2 years ago
7 0

We know that this ratio is directly because the two magnitudes go up.

In this case we will get the <u>proportionality constant</u> by dividing any term of the second magnitude by the first.

<h3>For example: </h3>

9 \:  \div  \:  3 \:  =  \:  \boxed{3}

Now that we know that k = 3, we can know how much "<u>y</u>" will be if <em>x = 5</em>.

We just multiply:

3 \:  \times  \: 5 \:  =  \: \boxed{ \bold{ 15}}

<h3>Answer: <u>y = 15</u></h3>

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EastWind [94]
For the second problem the answer D, -9, -11
8 0
3 years ago
In 2000, the circulation of a local newspaper was 3,250. In 2001, its circulation was 3,640. In 2002, the circulation was 4,100.
vodka [1.7K]

Percent increase from 2000 to 2001 is 12% and from 2001 to 2002 is 12.6%. Thus period of 2001 to 2002 has higher increase percentage.

<u>Solution:</u>

Given that,

Total circulation of local newspaper in 2000 = 3250

Total circulation of local newspaper in 2001 = 3640

Total circulation of local newspaper in 2002 = 4100

<em><u>Finding percent of increase in the newspaper’s circulation from 2000 to 2001:</u></em>

\text { Percent increase from } 2000 \text { to } 2001=\frac{\text { change in circulation from 2001 - 2000 }}{\text { circulation in } 2000} \times 100

\begin{array}{l}{=\frac{3640-3250}{3250} \times 100} \\\\ {=\frac{390}{3250} \times 100=12 \%}\end{array}

<em><u>Finding percent of increase in the newspaper’s circulation from 2001 to 2002:</u></em>

\begin{array}{l}{\text { Percent increase from } 2001 \text { to } 2002=\frac{\text { change in circulation }}{\text {circulation in } 2001} \times 100} \\\\ {=\frac{4100-3640}{3640} \times 100} \\\\ {=\frac{460}{3640} \times 100=12.6 \%}\end{array}

As we can see 12% < 12.6%

So period of 2001 to 2002 has higher increase percentage.

7 0
3 years ago
What is the slope of a line between the points (-4,-3) and (4, -2)?<br> Nour answer
Rufina [12.5K]

Answer:

1/8

Step-by-step explanation:

The slope of a line given two points is found by

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

   = (-2 - -3)/(4 - -4)

   = (-2 +3)/(4+4)

    1/8

4 0
3 years ago
Read 2 more answers
Twenty-four students took a test. Fourteen students earned an A and 8 students earned a B. A student will be randomly chosen. Wh
Fofino [41]
Answer is 7/12 I know it is because, well I just know it is 
8 0
3 years ago
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x +
Salsk061 [2.6K]

Answer:

-6

Step-by-step explanation:

We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:

Ax + By = 3

A * (-7) + B * 2 = 3

-7A + 2B = 3

We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:

x + 3y = -5

3y = -x - 5

y = (-1/3)x - (5/3)

So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:

Ax + By = 3

By = -Ax + 3

y = (-A/B)x + 3/B

This means that -A/B = -1/3. So, we have a relationship between A and B:

-A/B = -1/3

A/B = 1/3

B = 3A

Plug 3A in for B into the equation we had where -7A + 2B = 3:

-7A + 2B = 3

-7A + 2 * 3A = 3

-7A + 6A = 3

-A = 3

A = -3

Use this to solve for B:

B = 3A

B = 3 * (-3) = -9

So, B = -9 and A = -3. Then B - A is:

B - A = -9 - (-3) = -9 + 3 = -6

The answer is -6.

<em>~ an aesthetics lover</em>

7 0
3 years ago
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