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2 years ago

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 proportionality constant 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 "y" will be if x = 5.

We just multiply:

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

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

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For the second problem the answer D, -9, -11

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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.

Solution:

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

Finding percent of increase in the newspaper’s circulation from 2000 to 2001:

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

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

Finding percent of increase in the newspaper’s circulation from 2001 to 2002:

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

As we can see 12% < 12.6%

So period of 2001 to 2002 has higher increase percentage.

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3 years ago

What is the slope of a line between the points (-4,-3) and (4, -2)? 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

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3 years ago

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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

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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.

~ an aesthetics lover

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3 years ago

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