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KiRa [710]
3 years ago
9

You must scuba dive to the entrance of your room at Jules' Undersea Lodge in Key Largo, Florida. The diver is 1 foot deeper than

$\frac{2}{3}$ of the elevation of the entrance. What is the elevation of the entrance?
Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer:

the elevation of the entrance is -21

Step-by-step explanation:

The computation of the elevation of the entrance is shown below;

-15 = -1 + 2 ÷ 3e

e = -21

Hence, the elevation of the entrance is -21

We simply applied the above equation so that we can determine the elevation of the entrance

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Lina20 [59]
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3 years ago
the first term of an arithmetic sequence is 2 and the sum of the first 15 terms is 292.5. Find the common difference
adelina 88 [10]

Given:

First term of an arithmetic sequence is 2.

Sum of first 15 terms = 292.5

To find:

The common difference.

Solution:

We have,

First term: a=2

Sum of first 15 terms: S_{15}=292.5

The formula of sum of first n terms of an AP is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Where, a is first term and d is common difference.

Putting S_{15}=292.5, n=15 and a=2 in the above formula, we get

292.5=\dfrac{15}{2}[2(2)+(15-1)d]

292.5=\dfrac{15}{2}[4+14d]

292.5=15[2+7d]

Divide both sides by 15.

\dfrac{292.5}{15}=2+7d

19.5=2+7d

19.5-2=7d

17.5=7d

Dividing both sides by 7, we get

\dfrac{17.5}{7}=d

2.5=d

Therefore, the common difference is 2.5.

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3 years ago
PLZ Help Victoria used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are sh
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rebecca wants to crochet a scarf that is at least 4.4 feet long. So far, she's completed 2.5 feet. How much more does Rebecca in
vlabodo [156]

Answer:

4.4 < 2.5 +x

She needs to crochet at least 1.9 more ft

Step-by-step explanation:

She wants the scarf to be at least 4.4 ft long

4.4< scarf

The scarf is 2.5 ft long now

She will crochet x more ft

4.4 < 2.5 +x

Subtract 2.5 from each side

4.4 -2.5 < 2.5+x-2.5

1.9 <x

She needs to crochet at least 1.9 more ft

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3 years ago
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