Work out 1/5 of 80 =

Y is directly proportional to (x-4) when x=16, y=3 find y in terms of x

Paha777 [63]

Answer:

y = ¼(x-4)

Step-by-step explanation:

Before solving the question, let's look at one example,

A is directly proportional to B means A∝B which also means A=kB where k is a constant.

In this case, y is directly proportional to (x-4) means that y∝(x-4) which can also mean that y=k(x-4).

Hence, to find the value of k, substitute x=16, y=3 into y=k(x-4),

3=k(16-4)

k=3/12

k=1/4

After that, substitute the k value into the equation,

6 0

2 years ago

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Rene earns $50,768 per year.<br> What are her weekly gross earnings?

IrinaK [193]

Answer : Rena's weekly gross earnings are $976.31.

Step-by-step explanation :

As we are given total earning of Rena per year is $50,768.

Now we have to calculate her weekly gross earnings.

As we know that in one year there are 52 weeks.

That means,

1 year = 52 weeks

According to the question:

As, Rena earns in 52 weeks = $50,768

So, Rena earns in 1 week = $\frac{\$ 50,768}{52}$

= $976.31

Therefore, Rena's weekly gross earnings are $976.31.

4 0

3 years ago

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

<u><em>Verify each statement</em></u>

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

$Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches$

The area of the first enlargement is

$18(12)=216\ in^2$

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

$Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches$

The area of the second enlargement is

$54(36)=1,944\ in^2$

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

$[(3^2)]^2(24)=1,944\ in^2$

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

$3(216)=648\ in^2$

so

$648\ in^2 \neq 1,944\ in^2$

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

$\frac{216}{24}=9$

8 0

3 years ago

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Will give brainliest -- (there is more than one answer) When constructing a confidence interval for a difference between two pop

Natali5045456 [20]

Answer:

From my opinion

Step-by-step explanation:

1: To keep track that if there is more succses than failure then your doing great or vice versa as if more faliure than succesess then your going in a wrong path so it shows that you may have to reconsider your procedures.

2: It shows your clean procedure all well maintained and it shows your attempts and your poll of succesess and failure.

5 0

3 years ago

A={a,b,c,d} B={p,q,r,s} find the value of A-B and B-A

Free_Kalibri [48]

Answer:

A-B= (a,b,c,d)-(p,q,r,s)

=( )

B-A =(p,q,r,s)-(a,b,c,d)

( )

4 0

3 years ago

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