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son4ous [18]
3 years ago
11

The rectangle shown has a perimeter of 78 cm and the given area. Its length is 3 more than five times its width. Write and solve

a system of equations to find the dimensions of the rectangle.
Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

So W is going to stand for width and L is going to stand for length.

L= 2W+6

78=2L + 2W

Those are the two equations you will use. So plug in L=2W+6 into the other one and solve.

78= 4W+12 +2W

(simplify)

78=6W+12

(-12 from both sides)

66=6W

(divide by 11)

W=11

Replug W into your equation to find L.

L=22+6

(simplify)

L=28

I hope this is right

Step-by-step explanation:

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Answer:

If the second of the three numbers is  

n

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Dividing both ends by  

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So the three numbers are:

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Step-by-step explanation : I hope it helps please don't forget to mark me brainliest  .  :)

4 0
2 years ago
Read 2 more answers
Joe is considering taking out along with the principal of $15,500 From one of two banks. Bank A charges and interest rate of 6%,
ki77a [65]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total cost of the loan at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount taken as loan.

Considering bank A's offer

From the information given,

P = $15500

r = 6% = 6/100 = 0.06

n = 12 because it was compounded 12 times in a year.

t = 8 years

Therefore,

A = 15500(1 + 0.06/12)^12 × 8

A = 15500(1 + 0.005)^96

A = 15500(1.005)^96

A = $25019.2

The interest paid is

25019.2 - 15500 = $9519.2

Considering bank B's offer

From the information given,

P = $15500

r = 6.5% = 6.5/100 = 0.065

n = 12 because it was compounded 12 times in a year.

t = 7 years

Therefore,

A = 15500(1 + 0.065/12)^12 × 7

A = 15500(1 + 0.0054)^84

A = 15500(1.0054)^84

A = $24366

The interest paid is

24366 - 15500 = $8866

The interest that would by paid on bank B's offer is lower than that of bank A and the duration of the loan offer from bank B is shorter than that of bank A.

Therefore,

Bank A gives you more time to pay up the loan and you end up paying more interest

Bank gives you lesser time to pay up the loan and you end up paying lesser interest.

3 0
3 years ago
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zubka84 [21]

Answer:

\large\boxed{b=\pm\sqrt{77}}

Step-by-step explanation:

b^2=77\iff b=\pm\sqrt{77}\\\\\text{because}\\\\(-\sqrt{77})^2=77\ \text{and} \ (\sqrt{77})^2=77

3 0
3 years ago
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AnnZ [28]

Answer:

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5 0
3 years ago
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What is %50 of 67.5<br> need help fast
Leya [2.2K]

Answer:

The answer is 33.75

Step-by-step explanation:

You simply need to multiply 67.5 by .5 in order to find half of it.

7 0
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