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yKpoI14uk [10]
3 years ago
8

Alan made $396 for 18 hours of work. At the same rate, how much would he make for 11 hours of work?

Mathematics
1 answer:
wel3 years ago
8 0

Answer:

Step-by-step explanation:

I think it is helpful to set this up as a proportion as it is the easiest way in my opinion.

1st step: 396/18 and x/11

This is the way you set up the proportion.

2nd Step: You would have to multiply 396 and 11 then divide the value by 18.

396x11 = 4,356

4,356/18 = 242

x=242 Dollars

Answer: 242 dollars

Therefore, Alan would make 242$ while working at the same rate for 11 hours.

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Which is the graph of g(x) = sqrt x-16
zalisa [80]

Answer:

Step-by-step explanation:

I am not sure if you are asking for the graph of

√(x-16) that has a x intercept at (16,0)

or

√ x -16 that has a y intercept at (0, -16)

4 0
3 years ago
Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo
Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

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

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

<em><u>The formula for combinations is:</u></em>

n C_{r}=\frac{n !}{r !(n-r) !}

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

<em><u>Substituting values in above formula, we get</u></em>

\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}

For a number n, the factorial of n can be written as,

n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1

Therefore, we get

7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0
3 years ago
Write a number that is gratet than 1 in scientific notation explain how you knowit is grater than 1
sweet [91]

2 x 10^2 because 2 x 10^2 is 200 in standard form and 200 is greater than 1.


7 0
3 years ago
A pet store was selling 4 lizards for $47.88. If they ended up selling 6 lizards, how much would they have earned?
fgiga [73]

Answer:

Step-by-step explanation:

Step one- Find out how much it costs for one Lizard In this case, for four lizards it costs $47.88. To find the price for one lizard you divide 47.88 by four

$47.88/4Lizards=$11.97 per lizard.

Step two- Now that we have the price for one lizard, your question asks you how much for 6 lizards. We need to find that cost. To do so you multiply $11.97 by 6 for the lizards.

Your answer is $71.82

Hope This Helped :)

4 0
3 years ago
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I drive from Town a to my home and then to town b. The journey time is 50 minutes. What is my average speed ​
Aloiza [94]

Answer:

4 miles per minute

Step-by-step explanation:

Please kindly see the attached file for explanation

8 0
3 years ago
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