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ioda
4 years ago
9

the length of a rectangle is 9 inches more than three times the width. the perimeter is 98 inches. find the length and width

Mathematics
1 answer:
Mars2501 [29]4 years ago
8 0
Here is the equation:

Your goal is to get a number variable

2w+2(3w+9)=98

Solve the parentheses first, namely "w" by itself on one side

2w+6w+18=98

Add common  values

8w+18=98

Minus 18 from both sides

8w+18-18=98-18

It is now

8w=80

Now, divide 80 by 8

80÷8=10

w=10

Lets check:

2(10)+ 2(30+9)=98

20+60+18=98

Which is correct

So that means each side of the width is 10 inches
and each length side is 39 inches

Answer: So that means that width side is 10 inches each and each length side is 39 inches each. 10+10+39+39=98 inches

 
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Korolek [52]

Answer:

9³

Step-by-step explanation:

We need to find the value of \dfrac{9^5}{9^2}.

We know that,

\dfrac{x^a}{x^b}=x^{a-b}

Here, a = 5 and b = 2.

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So, the answer to the given expression is 9³.

7 0
3 years ago
HELP 100 POINTS The population of a city is modeled with the function P=250,000e^0.013t​, where t is the number of years since 2
erma4kov [3.2K]
Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.
6 0
2 years ago
Brooks used 2/3 of a can of paint to paint the bird feeder. A full can of paint contains 7/8 of a gallon. How much paint did Bro
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3 years ago
What is the gcf of 66xy and 30x2y?
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Answer:

66yx , 30x2y, hope its right :)

Step-by-step explanation:

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3 years ago
help me again please, i have 4 math quizes to do and I'm horrible at math and right now my grade in math is 2 approching so I ne
topjm [15]

Answer: What was the question?

Step-by-step explanation: Was it when did I drink the most juice?

8 0
3 years ago
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