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Juliette [100K]
3 years ago
6

Alex swims at an average speed of 45 meters per minute. How far does he swim in 1 minute and 24 seconds?

Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

63m

Step-by-step explanation:

Alex swims 45m in 1 min .

=> Alex swims 45 m in 60 secs

=> Alex swims 45/60 m in 1 sec

In 1 min & 24 secs ( or 84 secs ) , Alex can swim =

\frac{45}{60}  \times 84 = 63 \: m

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A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank an
navik [9.2K]

Option A

The restaurant Manager can afford at most 10 employees for the day

<em><u>Solution:</u></em>

Given that restaurant manager can spend at most $600 a day for operating costs and payroll

It costs $100 each day to operate the bank and $50 dollars a day for each employee

The given inequality is:

50x + 100\leq 600

Where , "x" is the number of employees per day

Let us solve the inequality for "x"

50x + 100\leq 600

Add -100 on both sides of inequality

50x + 100 - 100\leq 600 - 100\\\\50x\leq 500

Divide by 50 on both sides of inequality

\frac{50x}{50}\leq \frac{500}{50}\\\\x\leq 10

Hence the restaurant Manager can afford at most 10 employees for the day

Thus option A is correct

6 0
3 years ago
A railroad track rises 30 feet for every 400 feet of track. What is the measure of the angle of elevation of the track?
gtnhenbr [62]

Answer:

Step-by-step explanation:

Rising 30 feet for every 400 feet of track is not a very large angle of elevation.  We set this up as a right triangle to use right triangle trig to solve for the missing angle.  The height is 30 and the hypotenuse is 400.  The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio.  Setting up the ratio using our info:

sin\theta=\frac{30}{400}

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

sin^{-1}(

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.

3 0
4 years ago
Chia is planning a sailing party for her friends the boat rental is $150 plus an additional $15 per person see it has saved up $
storchak [24]
150 + 15x = 400
(-150) 150 + 15x = 400 (-150)
15x = 250
(/15) 15x = 250 (/15)
x = 16.67
So Chia can invite 16 people
3 0
3 years ago
Read 2 more answers
Solve for h.
Luden [163]
Solving for h means we write the equation in such a way that h is isolated from other variables. It is done as follows: 

(P = mgh) 1/mg
P/mg = mgh/mg
h = P/mg

Therefore, the correct answer from the choices listed above is option C, h = p/mg.

Hope this answers the question. Have a nice day. 
4 0
3 years ago
Write ln(x^3y^2) in terms of u and v (picture provided)
Katena32 [7]

Remember the properties of logarithms. If you have ln81, you can pull out the power of two (9^2) and have 2ln9. Also, you could do ln9 + ln9 because 9*9=81 and ln9*9 = ln9 + ln9

With these properties, you can get 3lnx+2lny, which is 3u+2v according to the answer.

Hope I helped!

6 0
3 years ago
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