80 girls and boys have planned for a movie. They are in a ratio of 6 girls to 2 boys . How many girls are there?

Answers

Answer 1

Let g represent the amount of girls at the movie and b represent the amount of boys, and t represent the total amount of kids at the movie. t = g + b the equation the represents the situation, so 8 = 6 + 2 represents that if there is a total of 8 kids, there are 6 girls and 2 boys. Because the ratio is 6:2, the amount of girls to the total amount of kids is 6:8 (which is the same is 3/4) and the amount of boys to the total amount of kids is 2:8 (which is the same is 1/4). Therefore, the equation that represents the situation is t = 3/4t + 1/4t, meaning that g = 3/4t and b = 1/4t. If there is a total of 80 kids, replace t with 80 and solve for g (number of girls at the movie):

g = 3/4t

g = 3/4(80)

g = 60

There are 60 girls at the movie.

Related Questions

is 3 yds less than 21 ft

Answers

3 yd = 9 feet

21 feet > 3 yd

hope this helps

Is 789 a terminating, Repeating, or Non-repeating Decimal?

Answers

789 is a repeating decimal

fill in the blank to make an equivalent ratio
_ : 6 = 4 : 3

Answers

8 is the answer.
Basically for 3 to equal 6 you multiply it by 2, so if you do that to 4, you get 8.
To check ur answer u can do 8:6 can be simplified to 4:3 if you divide both by 2.

your answer will be 8 .

Rodney bought a 25- pound bag of dog food . His dog ate 10 2/5 pounds of the food in the first month and 10 4/5 pounds of the food in the second month. How much dog food , in pounds, was remaining in the bag at the end of the two months ? Show your work ..... How many pounds

Answers

102/5+10 4/5=20 2/5+4/5=21 1/5 ..... 25-21 1/5= 3 4/5

Hey there, 10 2/5 + 10 4/5 = 21 1/5 25 - 21 1/5= 3 4/5

There is 3 4/5 pounds left!

HOPE I HELPED!!!!!!!!!!!!!

Triangle ABC is dilated with a center at the origin and a scale factor of 2. What are the coordinates of triangle A’B’C’?

Answers

The coordinates of triangle A'B'C' are A'(-4, 4), B'(2, 6) and C'(-2, 0).

Given that, triangle ABC is dilated with a center at the origin and a scale factor of 2.

What is a dilation?

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

From the given graph, A(-2,2), B(1, 3) and C(-1, 0)

By using a scale factor of 2, we get

A(-2,2)→2(-2, 2)=A'(-4, 4)

B(1, 3)→2(1, 3)=B'(2, 6)

C(-1, 0)→2(-1, 0)=C'(-2, 0)

Therefore, the coordinates of triangle A'B'C' are A'(-4, 4), B'(2, 6) and C'(-2, 0).

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For which of the following is the arc between the two hands of a clock greater than a semicircle?

The hands are at 11 and 6; arc measured counterclockwise

The hands are at 2 and 8; arc measured clockwise

The hands are at 2 and 8; arc measured counterclockwise

The hands are at 11 and 6; arc measured clockwise

Answers

Hi there!
The answer to your query is C) The hands are at 2 and 9; arc measured counterclockwise. We can find this by plotting all the choices on a clock. Hope this helps!

Working together , 5 friends collected 40 5/8 bags of food for the homeless . On a average how many bags of food did each friend collect ?

Answers

8.125. Just divide the number of bags they collected together.by how many of them collected them, to find out how many each of them collected

8 1/8. 5 divided by 40 5/8

ASAP please help me

Answers

So his lawn can be divided into 4 shapes: 1 rectangle, 2 triangles, and an irregular shape. So you get the area of the rectangle which is 48*120=5,760.

For the part above the rectangle, you can see that the 2 triangles and the irregular shape make one large triangle so take the area of that. (I’m going to refer to this as the BIG triangle).
.5*40*120=2,400
The base of the triangle is equal to the base of the rectangle. The height of the triangle you get by subtracting the height of the WHOLE lawn by the height of the rectangle. (88-48=40).

Inside that large triangle made up of three shapes, you can see another triangle that’s made up of one triangle and the irregular shape. I’ll refer to this triangle as triangle 1.
Take the area of that triangle.
.5*25*75=937.5
The base of the triangle you get by adding the base of the smaller triangle and the irregular shape. (51+24=75)

Inside the triangle you just took the area of (triangle 1) is another triangle (which I’ll refer to as triangle 2). Take the area of triangle 2.
.5*51*17=433.5

Subtract the area of triangle 1 by the area of triangle 2 and that’ll give you the area of the irregular shape.
937.5-433.5=504

So now you add the areas of the BIG triangle and the rectangle.
5760+2,400=8160
Make sure you subtract the irregular shape since it isn’t part of the lawn’s area.
8160-504=7656

So the lawn is 7656 square feet. Multiply it by .005. That equals 38.28. That’s how much fertilizer he needs to use.

Multiply 1.25 to 38.28 to get the amount of money he needs to spend.

47.85 dollars

I might’ve made a few mistakes but I hope my reasoning was at least understandable

When I look at this figure, I see two polygons.
1) A large trapezoid with sides 48 ft and 88 ft, and non-parallel sides 136 ft and the top side that includes the dashed part.
2) A small trapezoid with parallel sides 17 ft and 25 ft, and non-parallel sides 24 ft and the dashed segment on top.

The area of the lawn is the area of the large trapezoid minus the area of the small trapezoid.

Area of trapezoid = (B + b)h/2
where B = large base, b = small base, and h = height.
(The height is perpendicular to both bases.)

Large trapezoid:
A = (88 ft + 48 ft)(120 ft)/2 = 8160 ft^2

Small trapezoid:
A = (25 ft + 17 ft)(24 ft)/2 = 504 ft^2

Area of lawn = area of large trapezoid - area of small trapezoid

Area of lawn = 8160 ft^2 - 504 ft^2

Area of lawn = 7656 ft^2

Weight of fertilizer:
0.005 * 7656 = 38.28 lb

Cost of fertilizer:
1.25 * 38.28 = $47.85

If there are 1000 grams in a kilogram and 454 grams in a pound, how many pounds are there per kilogram?

Answers

Answer:2.2 pounds per kilogram

Step-by-step explanation:

454gram = 1 pound

since; 1000g = 1kg

454g = x

x= 454/1000

x=0.454kg

there is 0.454kg in 1 pound

but the question says how many pound is in 1kg

0.454kg = 1 pound

1 kg = x

cross multiply

0.454x = 1

Divide bothside by 0.454

x = 1/0.454

x = 2.2 pound

Therefore; there are 2.2pounds in 1 kilogram.

There are 2.20 pounds are there per kilogram

Given that,

1 kg = 1000 gm

1 pound = 454 gm

Since we know that,

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Since,

1 pound = 454 gm

Therefore,

⇒ 454 gm = 1 pound

⇒ 1 gm = 1/454 pound

And since,

1 kg = 1000 gm

= 1000x(1/454) pound

= 2.20 pounds

Hence,

1 kg = 2.20 pounds

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5 different mixed numbers that add up to 10 with only 3rds and 4ths

Answers

1 1/3
2 2/3
1 2/4
3 1/4
1 1/4

(20 points)

What is the perimeter of the figure?

229-4/9 ft
229-2/3 ft
230-2/3 ft
231 ft

Answers

60 5/6 + 56 1/6 = 117

59 1/3 + 54 1/3 = 113 2/3

117 + 113 2/3 = 230 2/3 feet

Rewrite the expression with parentheses to equal the given value 12+6÷2+4 value 13

Answers

This is what I got,it works

you buy 12 apples. you also buy a box of cereal for $3.35. the bill is 8.75. how much does each apple cost

Answers

each apple costs .45

Answer is $0.45 EACH of apple
Total 12 apple = $5.40

I got this by
8.75-3.35=5.40
5.40/12
Each apple cost $0.45

PLEASE HELP 30 points!!!!

what is the slope of this line in the picture?

Answers

the answer is 1/4
because the answer 3/12 = 1/4

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. The volume is to be 20 m^3. Express the total cost C in terms of the height h in meters. (Hint: work out the cost of the glass and frame separately.)

Answers

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is [tex] \sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} } [/tex]

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by [tex]8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h [/tex]

Area of the four side faces of the aquarium is 4 times the length of the base times the height = [tex]4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}[/tex]

Total area to be covered by grass is the base and the four side faces and is given by [tex]\frac{20}{h}+\sqrt{320h}[/tex]

Cost of the entire metal frame = [tex]7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h [/tex]

Cost of the entire grass = [tex]8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h[/tex]

Therefore, total cost in terms of the height, h, is given by

[tex]C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h[/tex]

Mr. Welch bought 24 ft of fencing.

How many yards of fencing did he buy? (1 yd = 3 ft)

Answers

1 yard = 3 feet

divide 24 feet by 3 feet to get yards

24 / 3 = 8 yards

If Mr. Welch bought 24 ft. of fencing and 1 yd. is equal to 3 ft., then what we would do is divide 24 by 3 which equals 8. Therefore, he bought 8 yd. of fencing.

1. What events led to the attack at Pearl Harbor?

I know that this isn't math but I just need help please. :(

Answers

war between Japan and the United States.

A series of events lead to the attack of pearl harbor but one is the war between Japan and united states

Which show another way to write the ratio 13:9 ?

Answers

another way to write 13:9 include:

26:18 (x2 to both)
39:27 (x3 to both)

hope this helps

What is the equivalent ratio to 64/256?

Answers

1:4 because both numbers can be divided by 64.

PPPLLLEEEZZZ HHHEEELLLPPP Select from the drop-down menu to correctly identify the property shown.

(−3.4+(−1.5))+6.2=−(3.4+1.5)+6.2

Answers

I believe it is Associative

Associative property

Rhonda sells textbooks. Her paycheck is found using the formula p=30b+15, where b is the number of textbooks she sells. Solve the formula for b.

Answers

p = 30b + 15...subtract 15 from both sides
p - 15 = 30b...now divide both sides by 30
(p - 15) / 30 = b or 1/30p - 1/2 = b

A model of a car is 4 inches long. If the actual car is 8 feet long, find the scale of the model. a. 4 in = 2 ft c. 8 in = 4 ft b. 1 in = 2 ft d. 8 in = 10 ft Please select the best answer from the choices provided

Answers

B. 1 in = 2 ft

4/8 ÷ 4 = 1/2

What is the sum of the Linear expression 2n+6 and 6n-2

Answers

Hello there! ^-^

To solve, do the following.

2n + 6 = 8n and 6n - 2 = 4n

I think you can take it from here ;)

If not just simply message me

Rotate 180 around the origin, and then translate 6 units to the left. (-2, -8) (-6, -8) (-11, -1) (-7, -3)

Answers

(2,8) (6,8) (11,1) (7,3)

HELP PLEASEEE 35 POINTSS WILL GIVE BRAINLIEST
Which is a correct two-column proof?

Given: Prove: L ll N

Answers

i am pretty sure its b

Your answer is going to be D none of these because supplementary angles are angles that two letters are across from its not A because G, and Z are correct but not H, and X its not B because neither H, and X are not supplementary angles and when it came down to rather C, or D I choose D because neither H, and X or E, and X are supplementary angles that's why I had to choose D because it was the only logical answer. Your answer is D.

There is 1/4 ounce of yeast in every 2 and 1/4 teaspoons of yeast. A recipe for bread calls for 2 teaspoons of yeast. How many ounces of yeast are needed for this recipe?

Answers

How many ounces of yeast are needed for this recipe?

PLEASE HELP ME.
Show Work.
Use two unit multipliers to convert 70 meters to inches.

Answers

70 m * (100cm)/(1m) * (1 in)/(2.54 cm) = 2755.9 in
.
Rough check, 1 m = 39.36 in approx , 70*39.36 = 2755.2

I think that's how it's done. As far as explaining it goes, I can't do that. I had to ask my math teacher and she wrote the calculations down.

Final answer:

To convert 70 meters to inches, use the unit multiplier method. 70 meters is equal to 2755.91 inches.

Explanation:

To convert meters to inches, we can use the unit multiplier method. There are two unit multipliers we can use:

1 meter = 39.37 inches and 1 inch = 0.0254 meters.

Start with the given quantity of 70 meters.Multiply by the unit multiplier 39.37 inches / 1 meter. This will cancel out the meters and leave us with the equivalent value in inches.Multiply the result by the unit multiplier 1 meter / 0.0254 inches. This will cancel out the inches and convert the value back to meters.Simplify the expression to find the final answer.

Therefore, 70 meters is equal to 2755.91 inches.

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-4.2 (-2.8+4.5) what is the value of the expression

Answers

-7.14 should be your answer!

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil. If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?

Answers

What we know:
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 5 liters of synthetic oil.

What we need to find:
If 355 liters of synthetic oil are used, how many liters of petrolyn oil will be made?

Set up a proportion to find how much natural oil is used.
7L natural oil/5L synthetic oil = x/355 synthetic oil where x=natural oil
7/5=x/355
(5)(x)=(7)(355) cross multiplied
5x=2485 simplified
5/5x=2485/5 multiplicative inverse
x=497L

Now, add both synthetic oil and natural oil to find amount of petrolyn oil.

355 L synthetic oil + 497 L natural oil= 852 L of petrolyn oil

Use the sequence below to answer parts a and b (8,17,26,35,44,53,...) Create an explicit formula to determine the 12th term of the sequence Create a recursive formula to prove the 7th term is 62.

Answers

THATS HOW YOU SOLVE THE 12TH AND 7TH TERM

Final answer:

The explicit formula for the sequence (8, 17, 26, 35, 44, 53, ...) is 8 + (n-1) * 9, and the 12th term can be found by substituting n = 12. The recursive formula for the sequence is a1 = 8 and an = an-1 + 9. Using this recursive formula, we can verify that the 7th term is indeed 62.

Explanation:

To create an explicit formula for the sequence (8, 17, 26, 35, 44, 53, ...), we notice that the difference between each term is 9. So, the explicit formula for the sequence is 8 + (n-1) * 9, where n represents the position of the term in the sequence. Using this formula, we can find the 12th term by substituting n = 12: 8 + (12-1) * 9 = 89.

To create a recursive formula to prove that the 7th term is 62, we observe that each term is the previous term plus 9. So, the recursive formula for the sequence is:

a1 = 8an = an-1 + 9

Using this recursive formula and starting with a1 = 8, we can find the 7th term as follows:

a1 = 8a2 = a1 + 9 = 8 + 9 = 17a3 = a2 + 9 = 17 + 9 = 26a4 = a3 + 9 = 26 + 9 = 35a5 = a4 + 9 = 35 + 9 = 44a6 = a5 + 9 = 44 + 9 = 53a7 = a6 + 9 = 53 + 9 = 62

Therefore, the 7th term in the sequence is indeed 62.

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