Peter, Bridget and Caroline share some sweets in the ratio 6:3:2. Peter gets 56 more sweets than Caroline. How many sweets are there altogether?

Answers

Answer 1

Answer:

The scale in the ratio given considers the case that there are 9 sweets (2 + 3 + 4), however, to answer our question, we need to scale up the ratio, so that we can work out the share when we have 36 sweets

Step-by-step explanation:

Ratios are a way of displaying the proportional split of a value and they are very similar to fractions. In the example above, we see that for every 2 sweets Amy has, Beth gets 3 and, Colin will get 4. Like fractions, this proportion will stay the same regardless of the scale of the ratio. The scale in the ratio given considers the case that there are 9 sweets (2 + 3 + 4), however, to answer our question, we need to scale up the ratio, so that we can work out the share when we have 36 sweets. So, what scale factor do we need to get it from a total of 9 sweets to a sum of 36 sweets? We know that 9 multiplied by 4 gives us 36, therefore, we can use a scale factor of 4. Remember how whatever is done to the denominator of a fraction has to be done to the numerator? Ratios like to behave the same way, so now that we have scaled up the sum of the ratio, we need to scale up the individual values by 4 – (2x4) : 3x4 : 4x4. Once we work it out we get the new ratio 8:12:16. You can check if you’re right by adding up the new values and you will see that 8 + 12 + 16 = 36, which is the value that the 9 was initially scaled up to. So we now know that when sharing the 36 sweets, Amy will get 8 sweets, Beth will get 12 sweets and Colin will get 16.

Related Questions

Please Help
Question; What is the value of x?

Answers

Answer:

x+5/30 = 16/20

20x+100=480

20x=380

x=19

Step-by-step explanation:

x+5/30 = 16/20

20x+100=480

20x=380

x=19

What is (15x + 7) + (-11x – 2)?

Answers

Answer:

4x + 5

Step-by-step explanation:

After solving the given equation, the value obtained for x will be equal to -5/4.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given expression in the question,

(15x + 7) + (-11x - 2)

15x + 7 -11x - 2

4x + 5

Now, solve it for x,

4x = -5

x = -5/4

To know more about equation:

https://brainly.com/question/29657983

#SPJ2

You often go to school by bus. You have two bus systems you could take. City Bus offers a monthly pass that costs $15 and then you pay $1 per ride. Campus Transport simply charges $2.50 per ride and does not require a monthly pass. After how many rides will the total costs of the two options be the same? Write a system of equations in order to solve this problem.

Answers

Answer:

For City Bus you will need to ride 10 times for 2 months, and for Campus Transport you need to ride 16 times.

Step-by-step explanation:

$2.50 x 2 = $5.00 so you know that the number of rides needs to even in order to have a whole number. This is because there is no way the City Bus cost will ever have cents.

$2.50 x 16 = $40.00

$15 x 2 = $30

$1 x 10 = $10

$30 + $10 = $40

So (15 x 2) + (10 x 1) = 16 x 2.50

The other person got it right I made sure just in case

Is line BC parallel to line DE?

Answers

yes the lines are parallel

Please help will mark brainliest

Answers

26
Hope this helps!!!!

Answer:

Step-by-step explanation:

[tex]2x^{2} +5x+2[/tex]

Answers

Answer:

(2x+1)(x+2)

Step-by-step explanation:

Ez pz

Use the triangle to find the missing angle. Round to the tenths if necessary.

Answers

Answer:

Step-by-step explanation:

Can someone pls help?!!!?

Answers

Hold on I’m working this problem out

Heeelp
the first choices are linear or non linear
the second is increasing or decreasing

Answers

it’s non linear and it’s decreasing

Find the product of (-94) and 47.

Answers

Answer:

I think it's -4418

help please lol yuhaaaaaas

Answers

Answer:

When you read the points on the graphs answer choice A is the only answer choice with all of the points grasped correctly.

1. Bill decided to buy six books on history instead

of four books on politics. It follows, then, that

the opportunity cost of each history book was ______

books on politics.

Answers

Answer: 2/3 books on politics

Step-by-step explanation:

The opportunity cost of something is the next best alternative that you would have taken if you did not instead go for the option that you took.

Opportunity cost here is the number of books on politics that Bill had to give up to get a single book on history.

= Number of politics books / Number of history books

= 4 / 6

= 2/3 books on politics

Bill gave up 2/3 books on politics to get a single history book.

On a math test Olivia is told that the points (1, 3) and (3.0) are two of the vertices of a square.
A Find two additional coordinates that will form a square.

Answers

There are two sets of coordinates that would form a square.

Coordinate set #1: (4, 0) and (4, 1)

Coordinate set #2: (2, 0) and (2, 1)

Hope this helps!

please help
me solve this

Answers

Answer:

Step-by-step explanation:

I literally just did the test a week ago and gt the answer correct

solve for x and round to the nearest tenth. this is geometry. I will mark Brainliest. please help <3

Answers

Answer:

x= 41.8°

Step-by-step explanation:

use inverse trig to find x.

[tex]sin^{-1}[/tex]([tex]\frac{4}{6}[/tex])=x

type this into your calculator. (make sure the mode on your calculator is degree or it won't work)

x= 41.8

Hope This Helps:)

brainliest please

use inverse trig to find x

=x=41.8

over the next 12 months you have read at least 72 books. You have read x books per month. The inequality 12x >72 represents this situation. Solve the inequality to find the number of books you have to read per month

Answers

Answer:

Step-by-step explanation:

72/12

hi!!! what’s the area and formula for this problem??

Answers

Answer:

134.28 m²

Step-by-step explanation:

I suppose this is an isosceles triangle

tan 75° = 2 + √3 = 3.73 = h / 6 (h: height and 6 = 12/2, 1/2 of base)

h = 6 x 3.73 = 22.38

Area = (12 x 22.38) / 2 = 134.28

Skaters world is having a Labor Day sale. All skateboards are 20% off the original prices. You are interested in buying a board that normally sells for $59. How much money are you saving on the skateboard?

Answers

The skateboard is $47.20 with the 20% off sale. You can find this price by multiplying both 0.20 and 59.

(Grad point )What is m

Answers

Answer:

Either b or c

Step-by-step explanation:

Morris serves juice at breakfast for himself and 5 friends. Each person receives 6 ounces of juice. Which equation shows how many ounces of juice Morris needs?

Answers

Answer:

Step-by-step explanation:

because if 6x6=36

Please help I will give Brain!!

Answers

Answer:

x = 14.5

Step-by-step explanation:

The diagonals of a rhombus are at right angle to each other, then

∠ BOA = 90° , so

6x + 3 = 90 ( subtract 3 from both sides )

6x = 87 ( divide both sides by 6 )

x = 14.5

Isaac is fishing off of a bridge. The tip of his rod is 22 3/4 feet above the water’s surface. The hook on the end of his line is 15 4/5 feet below the water’s surface. Isaac decides to let the hook sink a further 99 inches. What is the distance, in feet, from the tip of the rod to the hook?

Answers

Answer:

same I need the answer someone help

riddle: there are 10 copy cats in a window how much are left. Cation this is math!!!

Answers

Answer:

20 cats

Step-by-step explanation:

ez lol

Answer:

i dont know 10

Step-by-step explanation:

Round to the nearest half 6.385

Answers

Answer:

6.5

Step-by-step explanation:

I hope you have a great day!!

Hi! Could you help me me out and solve these two problems? "eight less than the product of seven and xxx", and "the sum of six and the product of three and d". Thank you!

Answers

Given:

The given statement are:

a. Eight less than the product of seven and x.

b. The sum of six and the product of three and d.

To find:

The expression for the given statements.

Solution:

Product of 7 and x is 7×x = 7x.

Eight less than the product of seven and x is 7x - 8.

Therefore, the required expression for the statement "Eight less than the product of seven and x" is 7x-8.

Product of 3 and d is 3×d = 3d.

The sum of six and the product of three and d is 6+3d.

Therefore, the required expression for the statement "The sum of six and the product of three and d" is 6+3d.

which decimal number represents 20%

Answers

Answer:

0.2

Step-by-step explanation:

from a precent to a decimal move 2 places to the left

Tell whether the information in the diagram allows you to conclude that point D lies on the perpendicular bisector of BC.

Yes
No
Maybe

Answers

Yes it does

Hope this helped

Can someone please help me with this question

Answers

1) 4^12 -You just need to add the powers if the main number is the same.
2) 6^7 -Just add the powers together.
3) 8^5 - you need to take away the 8 as both main numbers are the same.
4) (I couldn’t see it clearly but I think it said 7^8x7^5= 343

Hope this helped and you get your marks

I need help 8th grade math

Answers

Answer:

error made in step 2, should be 3x² + 15x - 18 = 0

3(x+6)(x-1) = 0

x = -6 and x = 1

Step-by-step explanation:

Anna opened a savings account and deposited $300.00 as principal. The account earns 1%
interest, compounded annually. What is the balance after 2 years?

Answers

Answer:

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1%/100 = 0.01 per year,

then, solving our equation

I = 300 × 0.01 × 2 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 300.00

at a rate of 1% per year

for 2 years is $ 6.00.

Times 300 by the 1%, in this case 0.01. Then add that amount to 300. Hope that helps.

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