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4 years ago

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An author is having a book signing at a store. She agrees to give 30% of the profit to literacy programs and 25% of the profit t

o her manager. If the profit is $750.00, how much profit does she take home

2 answers:

hammer [34]4 years ago

7 0

So we already know she is giving 55% percent away. First we should find out 55%.
50% = $375.00
5% = $37.50
55% = $417.50.
Now we take 55% away from 45% (the ammount she is taking home) which is $332.50

Lady_Fox [76]4 years ago

3 0

This is just solving percentages which is fairly easy! :)
To solve an equation like this, make all the percentages into decimals:

-.30
-.25

Now, take 750$ and multiply it by .30 = 225$
Do the same with .25 % = <span>187.50

Now add the two variables together, and subtract from 750 $

The author will take home = </span><span>337.5</span>

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A girl starts to walk to her school, which is 20 miles away, at 6:50 and at a rate of 3 miles per hour. After a while, her dad p

Alexeev081 [22]

The girl walked a distance of $\boxed{{\mathbf{5 miles}}}$ in her way.

Further explanation:

The time can be calculated as,

${\text{ time}}=\frac{{{\text{distance}}}}{{{\text{speed}}}}$

Given:

It is given that a girl stands 20 miles away from the school at $6:50{\text{ am}}$ and she started walking at the rate of $3{\text{ mi/hr}}$ and then after some time her dad pick up and he drives at the rate of $30{\text{ mi/hr}}$ . They reach the school at $9:00{\text{ am}}$ .

Step by step explanation:

Step 1:

Consider $x$ as the distance she walked in her way.

The speed of the girl when she walked is $3{\text{ mi/hr}}$ .

Now use the formula of time to obtain the walk time.

$\begin{gathered}{\text{ walktime}}=\frac{{{\text{distance walked}}}}{{{\text{walking speed}}}}\hfill\\{\text{ walktime}}=\frac{x}{3}\hfill\\\end{gathered}$

Since the total distance is $20{\text{ miles}}$ .

Then consider $20-x$ as the distance driven by the car.

The driving speed is $30{\text{ mi/hr}}$ .

Now use the formula of time to obtain the drive time.

$\begin{gathered}{\text{drive time}}=\frac{{{\text{distance travelled by car }}}}{{{\text{ speed of car}}}}\hfill\\{\text{drive time}}=\frac{{20-x}}{{30}} \hfill\\\end{gathered}$

Step 2:

Now we calculate the total time took by girl to reach the school.

$9:00-6:50={\text{2 hrs 10 min}}$

Now convert the timing into hours as,

$\begin{aligned}2{\text{ hours 10 minutes}}&=2+\frac{{10}}{{60}}\\&=2\frac{1}{6}\\&=\frac{{13}}{6}{\text{ hrs}}\\\end{aligned}$

Step 3:

Total time is the sum of drive time and walk time.

The total time can be expressed as,

$\frac{x}{3}+\frac{{20-x}}{{30}}=\frac{{13}}{6}$

Now solve the above equation by cross multiply method.

$\begin{aligned}\frac{x}{3}+\frac{{20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{10x+20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{9x+20}}{{30}}&=\frac{{13}}{6}\hfill\\6\left({9x+20}\right)&=13\left({30}\right)\hfill\\\end{aligned}$

Now simplify the further equation.

$\begin{aligned}6\left({9x+20}\right)&=13\left({30}\right)\hfill\\54x+120&=390\hfill\\54x&=390-120\hfill\\54x&=270\hfill\\\end{aligned}$

Simplify the further equation.

$\begin{aligned}54x&=270\hfill\\x&=\frac{{270}}{{54}}\hfill\\x&=\frac{{45}}{9}\hfill\\x&=5\hfill\\\end{gathered}$

Therefore, the girl walked 5 miles.

Learn more:

Learn more about the distance between the points <u>brainly.com/question/6278187 </u>

Learn more about the equivalent fraction <u>brainly.com/question/952259 </u>

Learn more about midpoint of the segment <u>brainly.com/question/3269852 </u>

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Speed, distance and time

Keywords: girl, distance, drive, walk, drive time, dad, speed, travelled, formula, cross multiply, fraction, number, multiply, addition, subtraction, equation, school

8 0

4 years ago

Read 2 more answers

The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the mul

Oksana_A [137]

For this case we have a function of the form:
$f (x) = 2 * 5 ^ x
$
We will evaluate the function for different values of x:

For x = 1:
$f (1) = 2 * 5 ^ 1 = 2 * 5 = 10
$

For x = 2:
$f (2) = 2 * 5 ^ 2 = 2 * 25 = 50
$

For x = 3:
$f (3) = 2 * 5 ^ 3 = 2 * 125 = 250
$

We note that for each value of x, the function is 5 times greater than the previous value.

Answer:
The multiplicative rate of change of the function is:
5
The function is 5 times greater for each value of x.

7 0

3 years ago

The stopping distance of a car is directly proportional to the square of the speed of the car. If a car traveling 50 miles per h

snow_tiger [21]

70 / 50 = 1.4
1.4 * 1.4 = 1.96
So, the stopping distance increases by a factor of 1.96
170 feet * 1.96 = 333.20 feet

6 0

3 years ago

Nick opens a savings account with $50. Each week after, he deposits $15. He wants to save $500. Write and solve equation to find

Alborosie

Answer:

Equation: 500 = 50 + 15x

Step-by-step explanation:

where x is the number of weeks Nick will have to deposit $15 in order to accumulate $500, given that the first week he deposited $50.

500 = 50 + 15x

500 = 50 + 15x

450 = 15x

x = 30

Now Nick will have to deposit $15 each week for 30 weeks. This is in addition to the $50 deposit he made week 1. So it will take him 31 total deposits to accumulate the $500.

6 0

3 years ago

An outdoor summer camp offers its campers 14 activities. Campers make a schedule for their morning, afternoon, and evening sessi

777dan777 [17]

Answer:

4.6 Different schedules are possible because

Step-by-step explanation:

14 divided by 3 = 4.6

8 0

3 years ago