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3 years ago

I need help ASAP! And work needs to be shown!

Mathematics

1 answer:

spin [16.1K]3 years ago

3 0

Answer:

32 x p/100 = 40

(Solve for P)

Multiply by 100 on both sides

32x = 4,000

Divide by 32 to get:

X = 125%

(reason why you multiply by 100 is because opposite of division is multiplication and we multiply the number "100" because we always multiply the denominator to both sides when having a fraction so you can solve for p or whatever. And that means p/100 x 100 it means p because since p is not a known value we consider 1/100 x 100 = 1, a variable by itself means 1 so you could just put p by itself next to the number its multiplied by which is 32 so it would be 32p because your multiplying both and the opposite of that would be dividing by 32 on both sides because you are getting rid of the 32 so therefore you will be left with: X = 125)

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A local fast food restaurant takes in $9000 in a 4 hour period, where the amount taken in varies directly with the number of hou

Zepler [3.9K]

As per the direct variation formula, it take 11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.

Direct variation:

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.

Direct variation equation: y = kx

Given,

A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.

Here we need to estimate how many hours it would take the restaurant to earn $25,000.

a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.

I = kh ⇒ Direct variation equation

Solve for k:

9,000 = (k)(4)

k = 9,000/4

k = 2,250

b) When income (I) = 25,000, find the number of hours:

I = kh

25,000 = (2,250) (h)

h = 25,000/2,250

h = 11.11

It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.

To know more about Direct variation here.

brainly.com/question/14254277

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4 0

1 year ago

Help please, Topic: Arrangments

Pavlova-9 [17]

Answer:

360

Step-by-step explanation:

Given

Digits: 0 to 5

Required

Number of 4 digit passcode that can be generated.

First, we need to get the number of usable digits.

Digits 0 to 5 = 0,1,2,3,4,5

Number of digits = 6

To make a 4 digit passcode;

The first digit can be taken from any of 6 digits

The second digit, any of the remaining 5 digits

The third digit, any of the remaining 4 digits

The fourth digit, any of the remaining 3 digits

Number of passcode = 6 * 5 * 4 * 3

Number of passcode = 360

6 0

3 years ago

Mel drives a bus 39 weeks in a year.

zlopas [31]

Answer:

11,622

Step-by-step explanation:

39 × 298 = 11,622

Have a good day!

7 0

4 years ago

-24 = -3w +21 what is w?

yuradex [85]

Answer:

w=15

Step-by-step explanation:

7 0

3 years ago

Mark has 17 coins that are dimes and quarters. The total value of the coins is $2.45. How many dimes does mark have?

seropon [69]

Answer: 12 dimes and 5 quarters

Step-by-step explanation: Let's start this problem by setting up a chart so we can organize our information that we're given in this problem.

Down the left side, we'll have our different types of coins. In this case dimes and quarters. Across the top we'll have our formula which is shown below.

Number of coins · value of each coin = total value

Now let's fill out our chart.

For number of dimes and quarters, we know that mark has a total of 17 dimes and quarters but we don't know how many of each he has. In fact, that's what the problem is asking.

So if we represent our number of dimes as x, we can call our number of quarters 17 - x.

The value of each dime is 10¢ and the value of each quarter is 25¢.

Our total value based on our formula is going to come from the first column times the second column. So the total value of our dimes is x times 10 or 10x and the total value of our quarters is 17 - x times 25 or 25 (17 - x).

Our goal in this problem will be to find x because x represents our number of dimes and the problem asks how many dimes does he have. If we know the number of dimes, we can easily find the number of dimes and we'll have our answer. However, we need an equation in order to find x.

It's important to understand that he information in this equation will always come from the last column of your chart, the total value column. So what do we know about the total value of our dimes and the total value of our quarters?

Well we know that the total value of all of our coins is $2.45. So if we add the total value of our dimes + the total value of our quarters, that should equal $2.45. So below the chart I added an additional box and I put 245 in it. Notice that I wrote 245 in terms of cents because our value of dimes and value of quarters is also written in terms of cents and we need to be constient.

So here's our equation.

10x + 25 (17 - x) = 245.

If we solve this, we get x = 12.

Going back up into our chart, remember that x represents our number of dimes so Mark has 12 dimes. To get his number of quarters, we take 17 - x which is 17 - 12 or 5 quarters and that's our answer.

I have also attached the chart that I have made below.

7 0

3 years ago