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lorasvet [3.4K]
3 years ago
12

The length of a rectangle is 3 times the width. The perimeter is 44 cm. What are the dimensions of the rectangle? Write and solv

e a system of equations to solve the problem.
Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0
Here are your equations:
x and 3x
How to set up:
2(x)+ 2(3x) = 44
Simplify:
8x = 44
Divide:
x = 5.5
Plug back in to find values:
Width = 5.5
Length = 16.5

Hope this helps!! :)
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A​ cold-water faucet can fill a sink in 1212 ​min, and a​ hot-water faucet can fill it in 1515 min. The drain can empty the sink
sweet-ann [11.9K]

Answer:

9.1 minutes.

Step-by-step explanation:

Let t represent time taken to fill the tank.

We have been given that a cold water faucet can fill a sink in 12 ​min, so the part of sink filed in 1 minute would be \frac{1}{12}.

The hot-water faucet can fill it in 15 min, so the part of sink filed in 1 minute would be \frac{1}{15}.

The drain can empty the sink in 25 min, so the part of drain emptied in 1 minute would be \frac{1}{25}.

The part of 1 full tank filled in t minutes, when both faucets are on and the drain is​ open would be:

(\frac{1}{12}+\frac{1}{15}-\frac{1}{25})t=1

Make a common denominator:

(\frac{1*25}{12*25}+\frac{1*20}{15*20}-\frac{1*12}{25*12})t=1

(\frac{25}{300}+\frac{20}{300}-\frac{12}{300})t=1

(\frac{25+20-12}{300})t=1

\frac{33}{300}t=1

\frac{11}{100}t=1

\frac{100}{11}\times \frac{11}{100}t=\frac{100}{11}\times1

t=\frac{100}{11}

t=9.0909

t\approx 9.1

Therefore, it will take 9.1 minutes to fill the sink.

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3 years ago
|x+3| x&gt;5<br> now can you plz just give the answer
aivan3 [116]

Answer: I would love to help you but I am confused on what you mean by the question.

Step-by-step explanation:

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2 years ago
Question 10 of 10
o-na [289]

I hope this helps you

7 0
3 years ago
1) What is the nth term of the sequence -1,3,7,11,...?
Sliva [168]

Answer:

Use the formula Tn=a+(n-1)d

a= the first term in the sequence which is - 1

d=the difference between the terms which is 4

Tn= -1+(n-1)(4)

Tn=-1+4n-4

Tn=4n-5

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2 years ago
Anya brought 30 tocos for 36 dollars what it the unit rate
wlad13 [49]

Answer:66

Step-by-step explanation:

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2 years ago
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