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3 years ago

If there are 2.54 centimeters in an inch and 12 inches in a foot, how many centimeters in 3 feet

Mathematics

2 answers:

sp2606 [1]3 years ago

6 0

Answer:

3 ft = 91.44 cm

Step-by-step explanation:

We want to convert 3 ft to cm.

So we need a conversion factor.

Multiplying 3 ft by (12 in / 1 ft results in 36 in (this is equivalent to 3 ft).

Next, we convert 36 in to cm:

36 in 2.54 cm

-------- * ------------- = 91.44 cm

1 1 in

dsp733 years ago

5 0

Answer:

91.44

Step-by-step explanation:

You might be interested in

Hector has a part-time job at a garage. He gets a paycheck of $820 every for

ElenaW [278]

Answer:

<u>A. Hector pays $ 123 in taxes each paycheck.</u>

<u>B. Hector should expect to receive $615 or 75% of his regular pay.</u>

<u>C. Hector will be paid $ 902 when he receives his next 4- week paycheck.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes: ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

Weeks Paycheck

4 820

3 x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

4 0

3 years ago

Ms. Whodunit needs $15 000 to go on her dream vacation in four years. How much

lisov135 [29]

For each situation, we have that:

11) Using compound interest, it is found that she needs to invest $9,781.11 now.

12) Using the future value formula, it is found that you will have $728,753 after 48 years.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

In which:

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

For this problem, the parameters are given as follows:

A(t) = 15000, t = 4, r = 0.055, n = 2.

Hence we solve for P to find the amount that needs to be invested.

$A(t) = P\left(1 + \frac{r}{n}\right)^{nt}$

$15000 = P\left(1 + \frac{0.055}{2}\right)^{2 \times 8}$

$(1.0275)^{16}P = 15000$

$P = \frac{15000}{(1.0275)^{16}}$

P = $9,718.11.

She needs to invest $9,781.11 now.

<h3>What is the future value formula?</h3>

It is given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

In which:

P is the payment.

n is the number of payments.

r is the interest rate.

For item 12, the parameters are given as follows:

P = 150, r = 0.07/12 = 0.005833, n = 48 x 12 = 576.

Hence the amount will be given by:

$V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right]$

$V(n) = 150\left[\frac{(1.005833)^{575}}{0.005833}\right]$

V(n) = $728,753.

You will have $728,753 after 48 years.

More can be learned about compound interest at brainly.com/question/25781328

#SPJ1

6 0

1 year ago

at a basketball game a vendor sold a combined total of 116 sodas and hotdogs. The number of hotdogs sold were 36 less than the n

algol [13]

Answer: 76 Sodas and 40 hot dogs

Step-by-step explanation:

Let S and H represent the numbers of Sodas and Hot dogs.

We are told that:

S + H = 116

We also see that:

H = S - 36

Take the second equation's value for H (S - 36) and use it in the first:

S + H = 116

S + (S-36) = 116

2S = 152

S = 76

and therefore H = S - 36, or 40.

76 + 40 = 116 [Checks]

76 Sodas and 40 hot dogs

4 0

2 years ago

The line represented by 2y = x + 8 is dilated by a scale factor of k centered at the origin, such that the image of the line has

Mandarinka [93]

Answer:

$k=\frac{1}{2}$

Step-by-step explanation:

we know that

A dilation is a non rigid transformation that produce similar figures

If two lines are similar, then the lines are parallel

Lines parallel have the same slope

we have

Line A

$2y=x+8$

isolate the variable y

$y=0.5x+4$ ----> equation A

The slope of the line A is m=0.5

The y-intercept of the line A is b=4

Line B

$y-\frac{1}{2}x=2$

isolate the variable y

$y=\frac{1}{2}x+2$ ----> equation B

The slope of the line B is m=0.5

The y-intercept of the line B is b=2

Remember that

The y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B

$4k=2$

solve for k

$k=\frac{1}{2}$

4 0

3 years ago

PLEASE HELP 10 POINTS

Whitepunk [10]

Complementary means sum = 90, so 90-57 to get the other angle at 23 degrees

Supplementary means sum = 180, so 180-52 to get the other angle at 128 degrees

8 0

3 years ago