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3 years ago

Write an equation for a direct variation that includes the point 4 16

Mathematics

1 answer:

Zolol [24]3 years ago

6 0

Answer:

y = 4x

Step-by-step explanation:

The general formula for linear direct variation is y = kx, where k is the constant of proportionality.

If (4, 16) is on the graph of this line, then 16 = 4k, and k = 4.

Thus, the desired equation for linear direct variation is y = 4x.

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The probability that an event will occur is 3 over 4. Which of the following best describes the likelihood of the event occurrin

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There is a 75 percent chance the event will occur

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3 years ago

Find and simplify an expression for the area of two rows of b squares with side lengths of b centimeters. Please help!

Ronch [10]

Answer:

The complete area of the given figure is $(2 b^3) cm^2$

Step-by-step explanation:

Total number of rows = 2

Squares in each row = b

So, the total number of squares in 2 rows = 2 x ( Squares in 1 row ) = 2 x b

Also, side length of 1 square = b cm

As we know, AREA OF SQUARE = SIDE x SIDE

So here, area of 1 square = Side x side = b cm x b cm = $(b^2) cm^2$

⇒ The area of total (2b) squares = 2 b x ( Area of 1 square)

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3 years ago

Nadine saw that there was 4/5 of a pie left after their family picnic. Each slice of pie was 1/15 of the total pie. How many sli

Virty [35]

Given:

4/5 of a pie left after their family picnic.

Each slice of pie was 1/15 of the total pie.

To find:

The number of remaining slices of pie.

Solution:

Let x be the number of remaining slices of pie.

Part of total pie in one slice = $\dfrac{1}{15}$

Remaining part of total pie in x slices = $\dfrac{1}{15}x$

According to the question, 4/5 of a pie left after their family picnic.

$\dfrac{1}{15}x=\dfrac{4}{5}$

Using cross multiplication, we get

$5\times x=15\times 4$

$5x=60$

Divide both sides by 5.

$x=12$

Therefore, the remaining number of slices of pie is 12.

4 0

3 years ago

Mrs. Delgado needs to buy 160 begonias for her flowerbed. At the prices shown, how much would she save if she bought them by the

wlad13 [49]

Answer:

$\$46.40$

Step-by-step explanation:

step 1

Find out the price of 160 begonias, if she bought them separately

$160(\$1.79)=\$286.40$

step 2

Find out the price of 160 begonias, if she bought them by the flat

Remember that

One flat are 20 plants

For 160 plants are needed

160/20=8 flat

$8(\$30)=\$240$

step 3

Find out the difference

$\$286.40-\$240=\$46.40$

8 0

3 years ago

If f(x)=3[x-2],what is f(5.9)? 9 10 11 12

inna [77]

f(x)=3[x-2]
So, f(5.9) = ?
f(5.9) = 3(5.9 - 2)
=3(3.9)
=11.7 = 12
Thus, the answer is 12.

8 0

3 years ago

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Write an equation for a direct variation that includes the point 4 16​

Write an equation for a direct variation that includes the point 4 16