In a class, 40% of the students are girls. Of the girls in the class, 25% play tennis. There are 40 students in the class. How many girls in this class, play tennis?
a- 10
b- 16
c- 4
d- 24

Answers

Answer 1

Answer:

Let x=number of girls in the class

Then x+27 =total number of students in the class

So our equation to solve is :

40% of (x+27)=x or

0.40(x+27)=x get rid of parens

0.40x+10.8=x subtract 0.40x from each side

0.40x-0.40x+10.8=x-0.40x collect like terms

Step-by-step explanation:


Related Questions

Exponential Functions

Which of the following points lies on the graph of the function y = 3x?

a. (1, 0) c. (3, 1)
b. (2, 9) d. (0,3)

Please select the best answer from choices provided

Answers

Answer:

B. (2, 9)

Step-by-step explanation:

I calculated it logically

Quintin raked his customer’s lawn for 1.2 hours. If Quintin charges $20 per hour, how much money did he make?

Answers

23.9 dollars I believe (I needa waste characters thi)

if branndon finishes his work at 5:00 he us at the rosewood cafe​

Answers

Answer:

the question is not complete

5) Is y = x^3 a function. Why or why not; please use complete sentences.

Answers

Yes, the expression; y = x³ is a function because it passes the vertical line test.

What is function?

Function from a set x to a set y assigns to each element of x exactly one element of y. The set x is called the domain of the function and the set y is called the codomain of the function.

There are 4 types of functions:

Functions with arguments and return values Functions with arguments and without return valuesFunctions without arguments and with return valuesFunctions without arguments and without return values

On this note, the set containing all possible values of x is called the domain of the function and the set y is called the co-domain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

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Simplify 32q^9r^4 / 4q^3r

Answers

Step-by-step explanation:

the answer is 8q^6r^3 and here are the steps in pic.

Answer:

8q^6r^3

Step-by-step explanation:

As powers in denominator are subtracted from powers of numerator.

8 q^9-3 r^4-1

8q^6r^3.

Find a equivalent expression of 16a - 24 .

Answers

Answer: 8(2a - 3)

Step-by-step explanation:

Answer:

8(2a - 3)

Step-by-step explanation:

(16a - 24) / 8 =

8(2a - 3)

The value of a bicycle was recorded over a period of five years. Based on how the plot of the residuals might look, would a linear function that passes through (0,250) and (4,25) be a good fit for the data shown?

A) No, the residuals would tend to be one-sided.
B) No, the residuals would be randomly distributed.
C) Yes, the residuals would be randomly distributed.
D) Yes, the residuals would tend to be one-sided.

I will not accept links, and if you use a link, I will report you.

Answers

Answer:

D) Yes, the residuals would tend to be one-sided.

Step-by-step explanation:

hii :) have a gr8 day

6) What is the value of digit 7 in 0.057 *.///what is the answer _____________________
7/10
0.07
7/1000

Answers

Answer:

7/1000 thousandths for place value

A picnic cooler contains 5 lemon-lime sodas, 8 colas, 2 diet colas, and 6 root beers. The likelihood of randomly selecting a diet cola instead of a root beer would be described as...



A certain

B impossible

C likely

D unlikely

Just tell me i dont want the link pls

Answers

C likely I think,,,,,,,

The weights of a sample of nine football players are 78, 72, 68, 73, 75, 69, 74, 73, 72. Find the variance and the standard deviation.

Answers

Answer:

The variance is of 8

Step-by-step explanation:

To find the variance and the standard deviation, first we need to find the mean.

Mean:

Sum of all values divided by the number of values. So

[tex]M = \frac{78+72+68+73+75+69+74+73+72}{9} = 72.67[/tex]

The standard deviation is of 2.83

Variances:

Sum of the difference squared between each value and the mean, divided by the number of values. So

[tex]V = \frac{(78-72.67)^2+(72-72.67)^2+(68-72.67)^2+(73-72.67)^2+(75-72.67)^2+(69-72.67)^2+(74-72.67)^2+(73-72.67)^2+(72-72.67)^2}{9} = 8[/tex]

The variance is of 8

Standard deviation:

Square root of the variance. So

[tex]S = \sqrt{V} = \sqrt{8} = 2.83[/tex]

The standard deviation is of 2.83

While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile. She decides to remove this value from further analysis.


What might happen to the mean, median, and mode of the data set after the value's removal?

(select all right answers)


The mode will increase.

The median may stay the same.

The mean will increase.

The mode will stay the same.

The median may decrease.

The mean will decrease.

Answers

The required correct options of data set after the value's removal.

1. The mean will increase.                   3. The median may stay the same.      5. The mode will stay the same.

What is the value's removal?

The Index Sponsor computes the Removal Value in the same way that Fund Interests in the linked Fund are valued.

Here,
While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile.
As for the properties of statistics, Change in the IQR does affect the median and mode, So options 3 and 5 are correct.
And also mean will increase.

Thus, the correct options are shown above.

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4) You are hired to work for a company at age 25 and the company has a retirement plan
where you can put up to 6% of your salary into the plan each month and they will match
that amount. Your starting monthly salary is $6,100, assume for simplicity sake you
never get a raise, and the retirement plan guarantees a 6.28% interest rate over the life of
the plan.
Scenario 1: You decide to start the retirement plan right away and you can afford
to put the full amount (6% of your salary) into the plan each month.
a) What is 6% of your salary? _______________
b) Since your company matches what you put into your retirement account, what is the
total amount put into your account each month?
_______________
c) How much money will you have in the retirement account when you reach full
retirement age, the time when you can start taking money out of the account, which is 62
years old? ________________
d) How much money did you put into the account? ________________
e) How much money did your employer put into your account? ________________
f) How much money did your account gain in interest over the years? _______________
Scenario 2: You decide to start the retirement plan right away, but you can only
afford to put 3% of your salary into the plan each month.
a) What is 3% of your salary? _______________
b) Since your company matches what you put into your retirement account, what is the
total amount put into your account each month?
_______________
c) How much money will you have in the retirement account when you reach full
retirement age, the time when you can start taking money out of the account, which is 62
years old? ________________
d) How much money did you put into the account? ________________
e) How much money did your employer put into your account? ________________
f) How much money did your account gain in interest over the years? _______________
What is the difference in the amount of money you will have at age 62 between scenarios
1 and 2? ________________
What is the difference in the amounts of money you put into retirement between
scenarios 1 and 2? _______________
How much more money did you get from your employer in scenario 1 than 2? ________

Answers

6% of the salary is $366

The total amount that would in the retirement account in the account each month is $732.

The amount that would be in the retirement account when you retire is $345,418.50.

The amount of money that you put in the account is $162,504.

The amount of money that the employer put in the account is $162,504.

The interest that was gained over the years is $20,410.50.

3% of the salary is $183.

The total amount that would in the retirement account in the account each month is $366.

The amount that would be in the retirement account when you retire is $172,709.25.

The amount of money that you put in the account is $81,252

The amount of money that the employer put in the account is $81,252

The interest that was gained over the years is $10,205.25.

How much would be in the retirement account?

6% of the salary = salary x percentage

6% of the salary = 6% x $6,100

6% of the salary = 0.06 x $6,100 = $366

The amount in your account at the end of the month = amount the company puts + amount you deposit

= $366 + $366 = $732

Amount that would be in your retirement account = (1 + interest rate) x amount in the account

Amount that would have been deposited in the account at retirement = number of years until retirement x number of months in a year x amount deposited each year

Amount in the account at retirement = $732 x 12 x (62 -25)

$732 x 12 x 37 = $325,008

Amount in the account at retirement = (1 + 0.0628) x $325,008 = $345,418.50

Amount the employer put in the account =  $325,008 \ 2 = $162,504

Interest earned = $345,418.50 - $325,008 = $20,410.50

3% of the salary = salary x percentage

3% of the salary = 3% x $6,100

3% of the salary = 0.03 x $6,100 = $183

The amount in your account at the end of the month = amount the company puts + amount you deposit

= $183 + $183 = $366

Amount that would be in your retirement account = (1 + interest rate) x amount in the account

Amount that would have been deposited in the account at retirement = number of years until retirement x number of months in a year x amount deposited each year

Amount in the account at retirement = $366 x 12 x (62 -25)

$366 x 12 x 37 = $162,504

Amount in the account at retirement = (1 + 0.0628) x $325,008 = $172,709.25

Amount the employer put in the account =  $162,504 \ 2 = $81,252

Interest earned = $172,709.25 - $162,504 = $10,205.25

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Josh wants to figure out how far he can run in 30 minutes or less. He averages 8 minutes to run a mile. What inequality can he use to solve this problem?

Answers

Time to run 1 mile * number of miles run must be 30 minutes or less
Time to run a mile is 8
Used m = number of miles ran
8m <= 30

<= is less than or equal to

the lengh of a triangle is 16 meters and the width is 3 meters. find the area. give your answer without units

Answers

Answer:

24

Step-by-step explanation:

1/2 bh

16x3/2=24

PLEASE HELP

Consider the two circles shown


To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about it’s center by a scale factor of s.


What are the values of t and s

Answers

Answer:

t is 13

scale factor is 7/4

77 x 11 in turtlehead

Answers

If you mean the calculation of 77x11 then the answer is 847

The expression 2x – 3 represents

Answers

Answer:

two times some value subtracted by 3

Step-by-step explanation:

Find the standard deviation of the following data. Round to the nearest hundredth 124, 89, 114, 89, 108, 62, 65

Free brainlist help plz

Answers

Answer:

62,65,89,114,124 im not really sure but examples may vaey depend to lessons and factors...

Step-by-step explanation:

Does this help?

HELP ME PLEASEEEEEEE

Answers

Okay so under the quadrilateral section the first one is a rectangle, the next one is a square, after that it’s a rhombus, and the last one is a trapezoid. Then on the triangles section the first one is an equilateral, the middle one is isosceles, and the last one is scalene. Hope this helped!

No math apps, my teacher said they don’t work ‍‍♀️

x^3 – 27 = 0

Answers

Answer:

hope this helps you

Answer =3

Convert the angle to radians. Leave as a multiple of Pi. 810 degrees

Answers

Answer:

4.5π radians

Step-by-step explanation:

We know that:

1° = π/180 radians

Then

810° = 810*π/180 = 4.5π radians

Answer:

4.5π radians

Step-by-step explanation:

oh shoot its wrong guys srry

It costs $45 for 9 baseballs. How much would it cost to buy two baseballs?

Answers

Answer: It would cost $10 for 2 baseballs

Step-by-step explanation:

1.) You take 45 and divide it by 9 to find the cost of 1 baseball

2.) You then take the cost of a baseball and multiply it by 2

¿????¿?????¿?????????????

1 2/8 - 4 3/6

Answers

Answer:

-3.25, or in fraction form, -3 1/4

Step-by-step explanation:

Hope this helps!

Answer:

-3.25

Step-by-step explanation:


-20 POINTS- Find the value of X

X=[?]

Answers

Answer:

x=1252x^2

I'm not sure if I'm 100% correct

Sorry.

Answer is the unknown side is 10

Step by step

We use Pythagorean theorem to solve this

a^2 + b^2 = c^2

The two short sides are a and b
The hypotenuse or diagonal is c

we are looking for side b (or x)

a^2 + b^2 = c^2

24^2 + b^2 = 26^2

576 + b^2 = 676

subtract 576 from both sides to isolate b

576 - 576 + b^2 = 676 - 576

b^2 = 100

√ b^2 = √100

b = 10





For what value of x does 3^2x = 9^3x-4?
O 1
O 2
O 3
O 4

Answers

the answer x=2 hope it helps :D

The value of x is 2 so x=2

Solve each of the following equations. Show its solution set on a number line. Check your
answers.
5x =3

Answers

Answer:

3/5

Step-by-step explanation:

It should look like this...

x=3/5

(5*(3/5))=3

5*3 = 15

15/5=3

answer answer answer answer answer

probability of an event happening is 0.77. what's the probability that the event doesn't happen ​

Answers

Answer:

0.23

Step-by-step explanation:

To find this answer you want to subtract the probability of the event happening (0.77) from one in order to find the probability of it not happening.

1-0.77=0.23

Solve for x: 3x + 2 < 14 and 2 x-5> -11.

Answers

Therefore the value of x is less than 4 when x is in the inequality 3x + 2 < 14 and greater than -3 when x is in the inequality 2 x-5> -11

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.

What is expressions or values?

Expressions are carried out, or evaluated, in order to yield a value. In an evaluation process, values of expressions can be employed as components of surrounding expressions.

To solve for x in the inequality 3x + 2 < 14, we can begin by subtracting 2 from both sides to get 3x < 12. Then, dividing both sides by 3 gives x < 4.

To solve for x in the inequality 2 x-5> -11, we can begin by adding 5 to both sides to get 2x> -6, then divide both sides by 2 to get x > -3

So x can be any number greater than -3 and less than 4

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A quantity with an initial value of 860 grows continuously at a rate of 20% per year. What is the value of the quantity after 24 months, to the nearest hundredth? Various forms and units

Answers

Answer:

In this equation, the 100 represented the initial quantity, and the 0.50 was the percent ... If a bank offers a 24 month CD with an annual interest rate of 1.2% ... up an exponential function, with our initial amount of $1000 and a growth rate of r ... An initial substance weighing 20g is growing at a continuous rate of 12% per day.

Step-by-step explanation:

An observational study of 2,391 people aged 65 or over was conducted. The researchers found that those who attended weekly religious services in person were 40% less likely to have high blood pressure than those who stayed home and watched the same weekly religious services via internet streaming. Which of the following is a valid conclusion?

a. There could be lurking variables such as pre-existing health conditions.
b. Watching religious services via web streaming is boring and unhelpful.
c. Attending weekly religious services in person causes lower blood pressure.
d. We cannot make any conclusions because the study only included people aged 65 or over.

Answers

Answer:

c. Attending weekly religious services in person causes lower blood pressure.

Step-by-step explanation:

From the study carried out about those who are 65 years and above but attending religious services in person rather than watching it online, it was able to show that, blood pressure is reduced.

This is because, they would walk before entering the religious service building as well as engage a little strenous exercise like dancing, singing etc which helps to put their body system in working state. On the other hand, those who watch it online became increasingly exposed to blood pressure due to their sedentary lifestyles of not moving around.

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