At the dance, the ratio of the number of girls to boys is 7:5. If there are 36 more girls than boys, how many girls were at the dance? How many boys were at the dance?

Answers

Answer 1

9514 1404 393

Answer:

126 girls90 boys

Step-by-step explanation:

The difference is 7-5 = 2 "ratio units", corresponding to a difference of 36 dancers. Then each "ratio unit" stands for 36/2 = 18 dancers.

There are 7×18 = 126 girls.

There are 5×18 = 90 boys.

_____

You could solve this by writing some equations:

  g/b = 7/5

  g -b = 36

Then you could substitute for g:

  (36+b)/b = 7/5

  36/b +1 = 2/5 +1 . . . . expand the fractions

  36/b = 2/5 . . . . . . . . . subtract 1

  b = (5/2)(36) = 90 . . . multiply by 5/2b

  g = 36+90 = 126


Related Questions

find the missing angle in the picture below. please help!:)

Answers

Answer:

24°

Step-by-step explanation:

Let's represent the unknown angle with x

So ;

66+x=90

x=90-66

x=24°

Therefore 24° is the missing angle.

Answer:

24°

Step-by-step explanation:

The missing angle is 90-66 = 24°.

floor. How many tooth picks will it take to
build 12 stories? How many marshmallows
will it take to build 12 stories?

Answers

need more info i think

would love to help but I need the size of tooth picks and marshmallows and how tall each story needs to be

What is the solution to the equation 4.7x+3.8=13.2?
A.
x=2
B.
x=3
C.
x=3.6
D.
x=3.7

Answers

Answer:

X=2

Step-by-step explanation:

I'm sure it's the result.. Jdjdj

what is the vaule of x

Answers

x=30
stjeykeyjstbarbafbsrjetjtsjwrj

what is the first step when solving this equation: 2(x-4)+6=3x+19

Answers

solve the parenthesis

Answer: The first step is to follow order of operations so parenthesis goes first e potential next multiplication and division and finally adding and subtracting.

Step-by-step explanation:

DUE TODAY PLEASE SHOW WORK

Answers

Answer:

1/9yx

Step-by-step explanation:

32 beause you 14x3=42 then instead just subtract 10 and 10=1y

-30 x -5=
Please Help

Answers

Answer: This isn't answerable

Step-by-step explanation:

You have to have a solution to factor out the x

Answer: 150

Step-by-step explanation:

Negatives cancel each other out so it’s a positive number and 30 times 5 is 150.

Company A rents a bounce house for $100 rental fee plus $20 per hour. Company B rents a bounce house for $40 per hour . Let h=the number of hours the bounce house is rented.Write an expression that shows the cost of renting a bounce house from each company​

Answers

Answer:

A= 100+20h B=40h

Step-by-step explanation:

A=100+20h

B= 40h

Answer:

For company A:

100 + (20h)

OR

100 + (20 x h)

For company B:

40h

OR

40 x h

Step-by-step explanation:

For company A, you are multiplying 20 by h because you must pay $20 per hour. Then, you have to add 100 to that because there is a $100 dollar rental fee.

For company B, you are multiplying 40 by h because you must pay $40 per hour. There is no rental fee, so that means you don't have to add anything.

Hope this helps!

You buy five books that are equal in
price for $17.50 and a DVD for $8.
Your total comes to $25.50.
Determine the cost of one book.
#12

Answers

Answer:

$3.50

Step-by-step explanation:

$17.50/5 = $3.50. This means the cost of one book is $3.50.

2. Plot the points (nd) in the plane below. What
No. of Days (d)​

Answers

More infoooooooooooppo

The library holds 200 books on 5 shelves. The unit rate is the number of books
per shelf. Explain how you find the answer to the number of books that are
held on each shelf.

Answers

Answer:

40 books are held on each shelf

Step-by-step explanation:

To find the unit rate you would divide the 200 books by the 5 shelves. this would give you 40 books per shelf.

3 (-4x - 8) + 4 = 28. Solve for x

Answers

Answer:

-4

Step-by-step explanation:

i dont know this part but im pretty sure u only need the answer so there u go

33 1/3% of 27
I have no clue how to solve this

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

33⅓ % = 1/3

1/3 x 27 = 9

Bridget is 5 years older than Angad. Paul is 4 years younger than Angad. If the total of their
ages is 49, how old is the eldest of them?​

Answers

Answer: Bridge is 21 years old

Step-by-step explanation:

Ok so after reading the question I already know that B (Bridget), A (Angad) and P (Paul) is 49 in the sum of age. I also know that B=A+5 and P=A-4. After that I can assume B=P+5+4. So now after we gather everything, the age of all of them is the same if we delete 5, 4, 4 (From B=P+5+4 and P=A-4). 49-5-4-4=36. So now lets assume they are all 12 (36/3=12). B is 5 years older so lets add 5 to B. B=17, A=12 and P=8. 8+12+17= 37. We now know that but 37 is 12 under 49, so lets add the average 12/3=4 so we add 4 to all of them. B=21 A=16 P=12. 21+16+12=49. So Bridge is 21 years old, Angad is 16 years old and Paul is 12 years old

Jack is making bread dough. One recipe requires 3/4 cup of flour and 1 1/8 tap of salt. If he wants to triple the recipe,how much of each ingredient will he need

Answers

Answer:

jack would need 2 1/4 cups of flour and 3 3/8 taps of salt

Step-by-step explanation:

Answer:

3 and 3/8  tap of salt and 2 and 1/4 cups of flour

Step-by-step explanation:

Show that x=1 is not a solution to 4x+2 2 = 13.​

Answers

Answer:

Replacing x = 1 in the equation above, we have: (4x1) + 22 = 13

=> 5 +22 = 13 => 27 [tex]\neq[/tex] 13

So 27 is not equal to 13 => x=1 is not a solution to 4x+22 = 13.

Step-by-step explanation:

Answer:

x=-9/4

Step-by-step explanation:

Find the total monthly cost for this plan to buy.
Loan Rate Insurance Repairs
Gas
Extra Miles
Misc.
Total Cost
$470.60
$125.00
warranty $69.00 $0.00
$55.50

Answers

Answer: $720.10

Step-by-step explanation:

I got this by adding the prices all together


Х
A number decreased by 4 is greater than 13.

Answers

Answer:

17

Step-by-step explanation:

Choose the symbol that makes the following sentence true:
⅝ __ ⁷/12

<
=
>​

Answers

5/8 is greater then 7/12.

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 12 is 24

For the 1st fraction, since 8 × 3 = 24,

5/8=5x3/8x3=15/24

Likewise, for the 2nd fraction, since 12 × 2 = 24,

7/12= 7x2/12x2=14/24

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

15/24>14/24 or 5/8>7/12

Subtract 23.4 − 8.78 = Haven't been taught how to do this

Answers

Answer:

14.62

Step-by-step explanation:

23.4-8.78

so align it like if you were going to subtract it like this:

23.4

- 8.78

You have to add a zero behind the four just so it can be easier for you,

23.40

- 8.78

--------

Now subtract it

I will give you the answer so you know if you are correct or wrong

15 point question
The pressure P of a gas varies inversely as its
volume V and directly as the temperature T. A
certain gas has a pressure of 2.7 atm, a
volume of 3.6 L, and a temperature of 324 K.
If the volume of the gas is kept constant and
the temperature is increased to 396 K, what
will the new pressure be?

Answers

Answer:

The new pressure P₂  is 3.3 atm

Step-by-step explanation:

Pressure of gas = 2.7 atm

Volume = 3.6 L

Temperature = 324 K

Now we are given that  volume of the gas is kept constant.

Temperature is increased to 396 K

We need to find the pressure.

The formula used is: [tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]

We have P₁ = 2.7

T₁ = 324 K

T₂ = 396 K

P₂ = ?

Putting values in the formula and finding P₂

[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}\\\frac{2.7}{324}=\frac{P_2}{396}\\P_2=\frac{2.7}{324}\times 396\\P_2=0.0083 \times 396\\P_2=3.3[/tex]

So, the new pressure P₂  is 3.3 atm

what’s the geometric mean between 7 and 28 ?

Answers

I believe the mean its 14!

Hello!! I need help!!
Find the slope and y-intercept of the line.
12x + 2y = –60

Answers

Answer:

Slope is -6

y intercept is (0, -30)

Step-by-step explanation:


help me plzzz!?!?? true or false

Answers

Answer:

false, true, false

Step-by-step explanation:

A. False - She has 15 plants

B. True - She has 4 plants that are 7-9 and 4 plants that are 10-12

C. True - Medain means middle, and since it is an even number, and it's between 9 and 10, there's a good chance it's around 11

what is the slope of the line (-3,-6) and (9,-2)

Answers

1/3
Steps: y2-y1/x2-x1
-6+2/-3-9 = -4/-12
-4/-12 = 1/3

Answer:

the slope is 1/3

please correct me if I am wrong, as I have not done this in a while.      

Step-by-step explanation:

I used the formula (y2-y1)/ (x2-x1)

Amy made a scale drawing of a theater. The scale she used was 1 inch : 3.5 feet. If the actual width of the stage is 84 feet, how wide is the stage in the drawing?

Answers

Answer:

24 inches

Step-by-step explanation:

I divided 84 by 3.5 getting 24 as my answer. So i knew that the stage is 24 inches wide on the drawing.

What is 10% of 92
I need the answer

Answers

Answer:

10% of 92 is 9.2

Step-by-step explanation:

u move the decimal one number forward

Find the area (DO NOT label answers)
16 yd
6 yd
11 yd

Answers

Answer:

The area would be 48.

Step-by-step explanation:

You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.

Let x = the number of miles traveled and y = the total cost for the trip.

Answers

Answer:

Uber: y = .25x + 3

Lyft: y = .75x

Step-by-step explanation:

Please help I will give brainliest, and everything else!!!!! Use the distributive property to find the value. (5y + 2 )8

Answers

Answer:

40y + 16

Step-by-step explanation:

8(5y + 2)

40y + 16 ## ^ multiply 8 by everything inside the parenthesis. (Distributive POE)

Answer:

40y+16

Step-by-step explanation:

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