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PolarNik [594]
3 years ago
15

The distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 6 inche

s with 80 pounds attached, how far will it stretch with 55 pounds attached? Round to the nearest tenth of an inch.
A.8.7 in B.6.1 in. C.4.1 in D.5.9 in
Mathematics
2 answers:
Iteru [2.4K]3 years ago
6 0

The <em><u>correct answer</u></em> is:

C.4.1 in

Explanation:

We will use a proportion for this problem.

In the first ratio, we have 6 inches: 80 pounds.  This can also be written as 6/80.

For the second ratio, we do not know the length; this is x.  The weight is 55; this gives us x/55.

This makes our proportion

6/80 = x/55

Cross multiplying, we have

6(55) = 80(x)

330 = 80x

Divide both sides by 80:

330/80 = 80x/80

4.125 = x

This means the answer is 4.1.

EleoNora [17]3 years ago
6 0
The correct answer among all the other choices is C. 4.1 in. You can solve this by 6 / 80 = x / 55. Then, we will get x = 4.125. Round off to the nearest tenth of an inch so the answer is C.4.1 in. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help. 
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Solve the inequality x + 2 &gt; 6.
Aloiza [94]

Answer:

x > 4

Step-by-step explanation:

x + 2 > 6

   -2    -2

x       > 4

7 0
3 years ago
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Espen predicted that he would sell 32 baseball caps but he actually sold 29 baseball caps which expression would find the percen
Gre4nikov [31]

Answer:

B

Step-by-step explanation:

This is the correct answer because the difference between 32 and 29 is 3 and the intial price is 32, Hence 3/32 (100)

6 0
3 years ago
What is a formula for the nth term of the given sequence?<br> 36, 24, 16...
SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

a_{n} = \frac{a_{1}(r^{n})}{r}

In this example, we have a_{1} = 36 (the first term in the sequence) and

r = \frac{2}{3} (the rate in which the sequence is changing).

Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

3 0
3 years ago
Kelly has some apples, bananas and oranges. The ratio of the number of apples to the total number of fruits us 1:4. There are 30
madreJ [45]
Total fruits→120=4u
apples=30=1u
3u=90→banana and oranges
banana→1u
oranges→2u
oranges=60

8 0
3 years ago
there are 4 oranges and 2 tangerines in a basket. Which fraction describes the part of the basket that is orange​
Pepsi [2]

Answer:

4/6

Step-by-step explanation:

You know that there is a total of 6 fruits in the basket.(you can find the total by adding the number of each item together.)

Then you simply find the total amount of oranges(4).

"There are 4 oranges out of the 6 fruits in the basket"/

So, 4/6.

<em>Hope this helped! :)</em>

6 0
3 years ago
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