At a movie night,1/4 of the persons were boys,5/8 were girls and the rest were adults.If there were 56 more girls than adults how many persons were in total?

Answers

Answer 1

Given:

Number of boys = [tex]\dfrac{1}{4}[/tex] of the total persons.

Number of girls = [tex]\dfrac{5}{8}[/tex] of the total persons.

Remaining persons are adults.

There were 56 more girls than adults.

To find:

The number of total persons.

Solution:

Let x be the number of total persons. Then,

Number of boys = [tex]\dfrac{1}{4}x[/tex]

Number of girls = [tex]\dfrac{5}{8}x[/tex]

Number of adults = Total persons - Boys - Girls

                             = [tex]x-\dfrac{1}{4}x-\dfrac{5}{8}x[/tex]

                             = [tex]\dfrac{8x-2x-5x}{8}[/tex]

                             = [tex]\dfrac{x}{8}[/tex]

There were 56 more girls than adults.

Girls = Adults + 56

[tex]\dfrac{5}{8}x=\dfrac{x}{8}+56[/tex]

[tex]\dfrac{5}{8}x-\dfrac{x}{8}=56[/tex]

[tex]\dfrac{4}{8}x=56[/tex]

[tex]\dfrac{1}{2}x=56[/tex]

Multiply both sides by 2.

[tex]x=112[/tex]

Therefore, the total number of persons is 112.


Related Questions

Help asap plz!!! 30 points


A human's eyeball is shaped like a sphere with a diameter of 2.5 cm. A
dog's eyeball is shaped like a sphere with a diameter of 1.75 cm. About
how many times greater is the volume of a human's eyeball than the
volume of a dog's eyeball?

Answers

Answer:

I think it is 1.5

Step-by-step explanation:

I'm not that sure sorry :(

Volume of human eyeball is 3 times more than volume of dog's eye .

Given,

Human eyeball diameter = 2.5 cm

Dog eyeball diameter = 1.75 cm

Now,

Firstly calculate the volume of humans eye,

Volume of sphere = 4/3 πr³

r = radius of eyeball

r = d/2

r = 2.5/2

r = 1.25 cm

Volume = 2.60π cm³

Now calculate the volume of dogs eye,

V = 4/3 πr³

r = d/2

r = 1.75/2

r = 0.875 cm

V = 0.893π

Thus from the calculation volume of human eye is more by approximately 3 times .

Know more about volume of sphere,

https://brainly.com/question/21623450

#SPJ4

simplify
√45 + √80 − 3√20​

Answers

√45+√80−6√5

Step-by-step explanation:

Exact Form:

√45+√80−6√5

Decimal Form:

7.29108201…7.29108201…

Your answer would be:
(that symbol above 45) 5

Hope this helps :)

All statements of equality below are correct.
A.True
B.False

Answers

A. True

All I did was use a calculator.

Use a number line to add and subtract.

+7 + (-3)=

Answers

Answer:

4

Step-by-step explanation:

You have positive number and it is bigger that negative so your result will be positive too:

7-3=4

PLEASE HELP I WILL MARK BRAINLIEST

Answers

B because 5/250 = .02 so 2% of middle school students are 10 years old

I need help with this

Answers

Answer:

y=3/4x +7

Step-by-step explanation:

The equation for slope-intercept is y=mx+b, where m is the slope and b is the intercept.

To find b, we can plug in the x,y, and given slope.

[tex]4 = \frac{3}{4} ( - 4) + b \\ 4 = - 3 + b \\ b = 7[/tex]

so now we can write b and m in the original equation.

which gives us, y =3/4x +7

If I girl lost her Vcard at the age of 13, does that make her a bad person or no?

Answers

If it was with on older person you’re an victim tell somebody

I don’t like to beg but I guess I’m in need..

Answers

Answer:

-4 < n ≤ 5

Step-by-step explanation:

Since the left inequality is an open circle and going to the right, the sign will be >

Since the right inequality sign is a closed circle and is going left, the sign would be ≤

The open circle ends at -4 so, n > -4

The closed circle ends at 5 so, n ≤ 5

You combine them and it looks like this:

-4 < n ≤ 5

Please Help! Trigonometry Problem:
find the solution in 0< x < 2π
cos 2x = 2sinx

Answers

Answer:

[tex]\displaystyle x=\left\{\arcsin\left(\frac{-1+\sqrt{3}}{2}\right), \pi-\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\right\}[/tex]

Or their approximations:

[tex]x\approx \left\{0.375, 2.767\right\}[/tex]

Step-by-step explanation:

We are given:

[tex]\cos(2x)=2\sin(x)[/tex]

And we want to find the solution in [0, 2π).

Recall the double-angle identities for cosine:

[tex]\begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x) \\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]

We will use the third version. Hence:

[tex]1-2\sin^2(x)=2\sin(x)[/tex]

Move all terms to one side:

[tex]-2\sin^2(x)-2\sin(x)+1=0[/tex]

This is now in quadratic form. For simplicity, let u = sin(x):

[tex]-2u^2-2u+1=0[/tex]

Solve for u. Simplify:

[tex]2u^2+2u-1=0[/tex]

By the quadratic formula:

[tex]\displaystyle u=\frac{-(2)\pm\sqrt{(2)^2-4(2)(-1)}}{2(2)}}[/tex]

Evaluate:

[tex]\displaystyle u=\frac{-1+\sqrt{3}}{2}\approx 0.366\text{ and } u=\frac{-1-\sqrt{3}}{2}\approx-1.366[/tex]

Note that the second solution is > -1. Hence, we will disregard it. (The range of sine is only -1 ≤ y ≤ 1.)

Back-substitute:

[tex]\displaystyle \sin(x)=\frac{-1+\sqrt{3}}{2}[/tex]

Since it is approximately 0.366, it will occur twice (once in QI and again in QII. This is because sine is positive only in those two quadrants). Using a calculator:

[tex]\displaystyle x_1=\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\approx0.375[/tex]

Using reference angles, the other solution is:

[tex]\displaystyle x_2=\pi -x_1=\pi -\arcsin\left(\frac{-1+\sqrt{3}}{2}\right) \approx2.767[/tex]

At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460. $76$141Let x represent the number of polyester-fill bags sold and let y represent the number of down-fill bags sold. Complete the system of equations that can be used to find the number of each type sold. The system is braceleftze 76x + y = x + y =

Answers

Answer:

The system of equations that can be used to find the number of each type sold is given as:

x + y = 17 ...... Equation 1

76x + 141y = 1460....... Equation 2

Step-by-step explanation:

Let

x represent the number of polyester-fill bags sold

y represent the number of down-fill bags sold.

In one week the store sold 17 sleeping bags

x + y = 17 ...... Equation 1

x = 17 - y

At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460.

Hence:

$76 × x + $141 × y = $1460

76x + 141y = 1460....... Equation 2

Therefore, the system of equations that can be used to find the number of each type sold is given as:

x + y = 17 ...... Equation 1

76x + 141y = 1460....... Equation 2

The graph of the function B is shown below. find B(1).

Answers

Answer:

B(1) = 2

Step-by-step explanation:

Function B(x), according to the graph, which point has an x-value of 1? Point (1, 2). So the solution is 2.

20 points for correct answer and a brainliest for first correct answer!

Answers

Answer:

D

Step-by-step explanation:

Blake, Chang, and Grace together sold 71 tickets for the school banquet. Blake sold 27 tickets and Chang sold 28 tickets. How many tickets did Grace sell? (5 points) 16 43 44 55

Answers

Answer:

16

Step-by-step explanation:

because to get what you need add 27 and 28 and you get 55 then subtract 71 by 55 to get 16

71-(27+28)

Answer:

Grace sold 16 tickets.

Step-by-step explanation:

We have a total of 71 tickets sold between 3 people. Blake sold 27 tickets and Chang sold 28 tickets. Adding those sold by Blake and those sold by Chang, gives us: 27 + 28 = 55, if that amount is subtracted from the total sales that are 71 tickets, the result would be: 71 - 55 = 16, which would be the tickets sold by Grace.

17 gallons = ? liters

Answers

Answer:

64.345

Step-by-step explanation:

1 gal=3.785

multiply 3.785 x 17

What is the equivalent for 4/6

Answers

Answer:

2/3

Step-by-step explanation:

please mark this answer as brainliest

Answer:

[tex] \frac{4}{6} \\ = \frac{2}{3} \\ = 0.66[/tex]

Help me pleaseeeeeeeeeee

Answers

Answer:

I'm pretty sure it's a

Step-by-step explanation:

step by step

Which product is modeled by the number line below?
2
3
4
5
B
7
8
(-3)(4)
(-2)(4)
(2)(4)
(3)(4)

Answers

Answer:

(-2)(4)

Step-by-step explanation:

(-2)(4) because we made four ”steps” of the lenght of two on the left

Chip’s favourite snack food is Dingles potato chips. He enjoys layering 3 chips together to make a stack of interesting flavours. If he only has Regular flavoured Dingles, there is only one way to stack the three chips. That is Regular, Regular and Regular which can be written as rrr. The order in which the chips are layered does not matter. For example, if we have Regular and BBQ Dingles then the stack BBQ, BBQ and Regular (bbr) is the same as BBQ, Regular and BBQ (brb).

a) If he has Regular and BBQ flavoured Dingles, list all the different stacks of 3 chips he can make.

b) If he has three flavours of chips, Regular, BBQ, and Vinegar, list all the different stacks of 3 chips he can make.

c) If he adds a fourth flavour, Ketchup, list all the different stacks of 3 chips he can make.

Answers

Answer:

I'm sorry I don't understand this

Step-by-step explanation:

If anyone wants to help that would be awesome 40 points for the the 2 people who answer and brainlest for the person who s correct. Thank You!
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1720 and a standard deviation of 20. Approximately what percentage of buckets contain between 1680 and 1760 pieces of popcorn? 1)Approximately 68%
2) Approximately 75%
3)Approximately 95%
4)99.7%

Answers

Answer:

Your answer is approxamantly 68%

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.
(10,1) and (3,-6)

Answers

Answer:

(13/2,-5/2)

Step-by-step explanation:

I hope this helps

If correct I’ll give brainlist

Answers

Answer:

should look like this a bit

Step-by-step explanation:

heres another pov

Find the mean, median, and mode for the following data set.

3, 8, 10, 14, 14, 17

Answers

Answer:

Mean = 11

Median = 12

Mode = 14

Step-by-step explanation:

I hope this helped!

it's all on the picture ​

Answers

Answer:

i believe its 24+12

Step-by-step explanation:

It is 24 + 12 because 4 x 6 is 24 and 4 x 3 is 12. Combine the two and you get the equation 24+12 as a final answer

A toy store was selling stuffed animals for $7.00 each. The stuffed animals go on sale and are now sold for $2.50 each. What is the markdown?

Answers

4.50 is the markdown

Solve for x and show work.

Answers

Answer:

x = 2

Step-by-step explanation:

The four sides of a rhombus are equal.  Thus, 10x + 6 = 4x + 18.

Solve this equation for x:

6x = 12

So, finally, x = 2

PLEASE HELP ASAP This table represents the monthly fees for checking accounts at two banks. Which statement is best supported by the information in the table?

A)The fee at Starlight Bank will be more than the fee at Lakeshore Bank only when the checking account balance is more than $300.

B)The fee at Starlight Bank will be more than the fee at Lakeshore Bank only when the checking account balance is less than $300.

C)The fee at Starlight Bank will always be more than fee at Lakeshore Bank.

D)The fee at Starlight Bank will always be less than the fee at Lakeshore Bank. Bank Monthly fee Starlight

Starlight: 1% of checking account balance
Lakeshore: $3

Answers

a is the answer i took the test

PLEASE HELP I WILL GIVE BRAINLIEST
Suppose that x and y vary inversely and that x = 30 when y = 2
1) Write a function that models the inverse variation.
2) Find x when y = 12

Answers

Answer:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

Q. factorize by regrouping the expression
xy-2x+3y-6

Answers

Answer:

xy-2x+3y-6

(xy-2x) (3y-6)

x(y-2) 3(y-2)

(x+3) (y-2)

hope this answer helps you.....

Identify the vertex of the graph. Tell whether it is a minimum or maximum.

Answers

Answer:

(0, - 1) maximum

Step-by-step explanation:

The vertex is the turning point of the graph.

That is vertex = (0, - 1 )

Since the graph opens down then it is a maximum

Classify the triangle based on its angles

Answers

Answer:

The triangle is scalene triangle because its all sides are different

So, you can go with it and

Request :- if you are helped with my answer pls tag me brianliest I really want it.......

THANK YOU.. Plzz see to my request

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