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3 years ago

The perimeter of a rectangle is 34 feet. if the length is 2 more than 4 times the width, find the dimensions of this rectangle

Mathematics

1 answer:

kvv77 [185]3 years ago

8 0

First you substitute the L value so that it equals w values. So 2(4w+4)+2w=34. Then solve for w=3 and L=14

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in 1995, diana read 10 english books and 7 french books. in 191!6, she read twice as many french books as english books. if 60%

Anvisha [2.4K]

Diana read 6 English books and 32 French books in 1996.

For given question,

Let the number of English books = x

And the number of French books = y

In 1995 Diana read 10 English books and 7 French books.

⇒ x = 10 and y = 7

In 1996, she read twice as many French books as English books.

So, we get an equation,

⇒ y = 2x

Also, 60% of the books that she read during the 2 years were French

Let m be the total number of books she read in 2 years.

⇒ y = 60 percent of m

⇒ y = 0.6(m) ............(i)

and x = 0.4(m)

We don't know the exact amount of books read in 1996.

m = 10 + 7 +x +2x

m = 17 + 3x

We can write equation (i) as,

⇒ 0.6(m) = 7 + 2x

⇒ 0.6(17 + 3x) = 7 + 2x

⇒ 10.2 + 1.8x = 7 + 2x

⇒ 10.2 - 7 = 2x - 1.8x

⇒ 3.2 = 0.2x

⇒ 3.2/0.2 = x

⇒ 16 = x

So, she read 16 English books

And 16 × 2 = 32 French books

Total books: 16+32= 48 books in 1996

Therefore, Diana read 6 English books and 32 French books in 1996.

Learn more about an equation here:

brainly.com/question/649785

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4 0

1 year ago

5x + 2 – 2 = -18 – 2 5x = -20 true or false

Oksi-84 [34.3K]

If 5x=-20 then it would be
$- 20 + 2 - 2 = - 18 - 2$
adding 2 and subtracting 2 they cancel out so its
$- 20 = - 18 - 2$
and if you subtract 2 from negative 18 it is negative 20 so it is true

5 0

3 years ago

Read 2 more answers

Help me please I don’t know how to do it

Rasek [7]

Answer:

ask your teacher for help.

Step-by-step explanation:

4 0

2 years ago

A statistician studies the relationship between income and the choice of individuals to attend college. He notices that during a

Gnoma [55]

The conclusion is is misleading because the extraneous variable, cost of tuition was not accounted for in the experiment.

<h3>What are the variables in this experiment?</h3>

The independent variable is the variable that the person carrying out an experiment changes or manipulates. This variable is income. The dependent variable is the variable that is being measured in an experiment. This variable is college enrolment.

The extraneous variable is the variable that is not been researched in the experiment but it has the potential to influence the results of the experiment. This variable is the cost of tuition.

To learn more about independent variables, please check: brainly.com/question/26287880

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6 0

2 years ago

You save for retirement over 30 years by investing $850/month in a stock account that yields 10%. You invest $350/month in a bon

sergejj [24]

Answer:

$13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

$1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

A = P(r/12)/(1 -(1 +r/12)^(-12n))

= $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0

4 years ago