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Sveta_85 [38]
2 years ago
13

Set up an equation and use it to solve for X (6x + 3) 33°

Mathematics
1 answer:
Elodia [21]2 years ago
7 0

9514 1404 393

Answer:

  24

Step-by-step explanation:

The angles of a linear pair are supplementary.

  (6x +3)° +33° = 180°

  6x = 144 . . . . . . . . . . . divide by °, subtract 36

  x = 24 . . . . . . . . divide by 6

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The length of a rectangle is seven times its width. The area of the rectangle is 175 square centimeters. Find the dimensions of
dimulka [17.4K]

Answer:

<h3>The length is 35cm</h3><h3>The width is 5cm</h3><h3 />

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

The length is seven times the width is written as

l = 7w

Area of the rectangle = 175 cm²

7w × w = 175

7w² = 175

Divide both sides by 7

w² = 25

Find the square root of both sides

w = √25

w = 5cm

But l = 7w

l = 7(5)

l = 35cm

The length is 35cm

The width is 5cm

Hope this helps you.

7 0
3 years ago
sheila has 5 times as many markers as dave together they have 18 markers. How many markers does shelia have
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3 years ago
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Vera needs to spend $17.

7 0
2 years ago
A research student is working with a culture of bacteria that doubles in size every
ser-zykov [4K]

Answer:

2^{24}*1000 bacteria

Step-by-step explanation:

The generic form of an exponential function is: f(n)=ar^n , where a is the initial amount, r is the rate, and n is the time.

In this case, the initial amount is 1000, so a = 1000. Also, the rate is 2 because the culture doubles in size every 5 minutes. However, our n is not just n; it's actually n/5 because the rate is doubling per 5 minutes, not per 1 minute. If it was per 1 minute, then the time would simply be n. Unfortunately, that's not the case here, so the exponent of r should be n/5, where n is the number of minutes that have passed.

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Since n is the number of minutes, we need to convert 2 hours to minutes:

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Thus, the answer is 2^{24}*1000 bacteria.

Hope this helps!

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2 years ago
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