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NeX [460]
3 years ago
6

During a scuba dive, Lainey descended to a point 19 feet below the ocean surface. She continued her descent at a rate of 25 feet

per minute. Write an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface. Use the variable t for time.
Mathematics
1 answer:
Leno4ka [110]3 years ago
7 0

Answer:

25t+19\leq 144

t\leq5

The number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is <u>at most 5 minutes.</u>

Step-by-step explanation:

Given:

Initial depth of the scuba dive = 19 ft

Rate of descent = 25 ft/min

Maximum depth to be reached = 144 ft

Now, after 't' minutes, the depth reached by the scuba dive is equal to the sum of the initial depth and the depth covered in 't' minutes moving at the given rate.

Framing in equation form, we get:

Total depth = Initial Depth + Rate of descent × Time

Total depth = 19+25t

Now, as per question, the total depth should not be more than 144 feet. So,

\textrm{Total depth}\leq 144\ ft\\\\19+25t\leq 144\\\\or\ 25t+19\leq 144

Solving the above inequality for time 't', we get:

25t+19\leq 144\\\\25t\leq 144-19\\\\25t\leq 125\\\\t\leq \frac{125}{25}\\\\t\leq 5\ min

Therefore, the number of minutes she can continue to descend if she does not want to reach a point more than 144 feet below the ocean surface is at most 5 minutes.

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x = -9.33 , 8

Since, length can't be negative

x = 8

∴Unknown side length = 8 m

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If the number of visitors on Friday, Saturday, and Sunday is x, x + 500, and x + 250. Then the total number of visitors will be 3x + 750.

<h3>What is Algebra?</h3>

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Tanisha's website had x visitors on Friday.

On Saturday, it had 500 more visitors than it did on Friday. That is x + 500

The total number of visitors on Friday and Saturday was twice the number on Sunday. That is (2x + 500)/2

Then the total number of the visitors will be

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Then we have

\rm \rightarrow x + x + 500 + \dfrac{2x + 500}{2}\\\\\rightarrow 2x + 500 + x + 250\\\\\rightarrow 3x + 750

More about the Algebra link is given below.

brainly.com/question/953809

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Step-by-step explanation:

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