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lord [1]
3 years ago
10

A penguin is standing 3 feet above sea level and then dives down 10 feet. What is its depth?

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
7 0

Answer:

7 feet below sea level

Step-by-step explanation:

he was at 3 then you subtract 10 feet because he dives.

Veseljchak [2.6K]3 years ago
7 0

Answer:

-7 feet or 7 feet below sea level

Step-by-step explanation:

We can find the absolute value to solve this problem.

There are two ways that we can solve this:

Solution 1: |3 - 10| = 7

Solution 2: 10 - 3 = 7

Hope this helped!

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Please help with 1-9<br> 43 points
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Remark

I'll do two from each group, leaving you with 1. I just leave the answer for the one I don't do or a hint it it is long. That's more than we are instructed to do (which is three parts per posted question).

One

Two ratios form a proportion because they both equal the same thing when you reduce them to the point where the ratios are prime to each other.

3/4 = 12/16

3/4 can't be reduced any further. When both 12 and 16 are divided by 4, the result is 3/4

Two

<em><u>Formula</u></em>

Sale Price/Original Price = 3/4

<em><u>Solve</u></em>

Sale Price / 64 = 3/4           Multiply both sides by 64

Sale Price = (3/4)*64

Sale Price = 48

Three

682 Trillion atoms of hydrogen.

Four

<em><u>Formula</u></em>

rotations / 40 seconds = rotations / second

<em><u>Solve</u></em>

2000 / 40 seconds = rotations / 1 second    Just divide

50 rotations/1 second = rotations / second.

Five

<em><u>Formula</u></em>

Herd of cows / Total pounds of milk = 1 cow / pounds of milk

<em><u>Given</u></em>

Herd = 12

pounds total = 224998

<em><u>Solve</u></em>

12/224998 = 1 / x             Cross multiply

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Six

0.5 m in 1 second.

Seven

<em><u>Formula</u></em>

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Note this is not a true proportion. You just have to know how it is done.

Eight

This is also not a true proportion. The best way to do this is called unit analysis.

\dfrac{18feet}{2seconds} * \dfrac{1 mile}{5280 feet}\dfrac{3600sec}{1hour}

Each set of units on the right will cancel with a set of units on the left until all that you area left with is miles / hour. Then just multiply the numerator numbers together and denominator numbers together.

numerator: 18 * 1 * 3600 = 64800

denominator: 2 * 5280 * 1 = 10560

Now divide the numerator by the denominator.

answer: numerator/denominator = 64800/10560 = 6.14 miles per hour.

Nine                                              

Note: there are 1760 yards in a mile.

1 gallon will take you 32000 yards or 18 miles. Do this the same way eight was done.

7 0
4 years ago
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The Park Protectors is a group of elementary students and teachers from 32 schools who pick up trash at local parks. The line pl
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Answer:

~117

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Answer:

$36,027.9

Step-by-step explanation:

Lets say her salary in the first year is s1. So, in the second year her salary will be 2% higher than x, this is, s1 + s1*0.02, so:

s2 = s1 + 0.02s1 = 1.02s1

Then in year 3 it will be s2 plus a 0.02 increase:

s3 = s2 + 0.02s2 = 1.02(s2) = 1.02 (1.02 s1) = 1.02^2(s1)

Then the same for s4: s3 salary plus the increase.

s4 = s3 + 0.02s3 = 1.02(s3) = 1.02 (1.02 s2) = 1.02(1.02*1.02 s1) =1.02^3(s1)

Finally for the 5th monts:

s5 = 1.02(s4) = 1.02^4(s1)

We know that s1+s2+s3+s4+s5 = 187,345

Lets replace all the salaries by its value depending on s1

s1 + 1.02s1 + 1.02^2(s1) + 1.02^3(s1) + 1.02^4(s1) = 187,345

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Lets get 1s1 out as common factor:

s1 (1 + 1.02^1 + 1.02^2 + 1.02^3 + 1.02^4) = 187,345

s1 *5.20 = 187,345

Divide both sides by 5.20

s1 = 36,027.9

So, her salary in the 1st month was approximately $36,027.9

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