White shapes and black shapes are used in a game some are circles some are squares the ratio of white shapes to black shapes is5:11 the ratio of white circles to white squares are 3:7 the ratio of black circles to black squares are 3:8 work out what fraction of all the shapes are circles

Answers

Answer 1

Answer:

[tex]\frac{9}{32}[/tex]

Step-by-step explanation:

Given:

Ratio of white shapes to black shapes is 5:11

Ratio of white circles to white squares is 3:7

Ratio of black circles to black squares is 3:8

To find: fraction of all the shapes that are circles

Solution:

As ratio of white shapes to black shapes is 5:11,

let number of white shapes be 5 k and number of black shapes by 11 k

As  ratio of white circles to white squares is 3:7,

Number of white circles = [tex]\frac{3}{10}(5k)=\frac{3}{2}k[/tex]

Number of white squares = [tex]\frac{7}{10}(5k)=\frac{7}{2}k[/tex]

As ratio of black circles to black squares is 3:8,

Number of black circles = [tex]\frac{3}{11} (11k)=3k[/tex]

Number of black squares = [tex]\frac{8}{11}(11k)=8k[/tex]

Total number of circles = [tex]\frac{3}{2}k+3k=\frac{9}{2} k[/tex]

Total number of shapes = [tex]5k+11k=16k[/tex]

Therefore,

Fraction of circles [tex]=\frac{\frac{9}{2} k}{16k} =\frac{9}{32}[/tex]


Related Questions

Alex works as a nanny. Her regular hourly wage is $10.25. If she regularly works 28 hours per week, what is her regular weekly pay?

Answers

Answer:

She normally gets $287 a week

Step-by-step explanation:

Answer:

$287 per week

Step-by-step explanation:

If she gets paid $10.25 per hour, and she works 28 hours in one week you'd have to multiply the two values to find how much she gets paid every week. 10.25 x 28 = 287

(Honestly, that's pretty good as a nanny lol)

Hope that helps and have a great day!

A golfer earned the following scores over several rounds of golf: −3, 2, 0, −1, 2, −4. Jamar says these numbers can all be described as integers, while Sophia says they are whole numbers. Which student is correct? Explain how you know.

Answers

Answer: Jamar is correct

Step-by-step explanation:

Integer is a number that is a whole number and can either be positive or negative but it can't be a fraction or decimal. e.g 4, -2, 6, -23 etc.

A whole numbers are zero and other natural numbers such as 1, 4, 23. Negative numbers are not part of whole numbers.

From the statement made in the question, Sophia is wrong while Jamar is correct. The numbers aren't all whole numbers because some are negative.

Joanne slices a large banana bread into 12 pieces. There are 2 adults and 2 children who get a piece of banana bread. The rest of the pieces will be donated to the homeless. What fraction of the banana bread will be​ donated?

Answers

Answer:

⅔ of the banana bread will have been donated

Step-by-step explanation:

12 pieces of banana bread

4 pieces were eaten

12-4=8

8/12 is simplified into ⅔

Step-by-step explanation:

The fraction of adults and children= 4 = 2

12 6

The fraction of the homeless = 12 - 2

6

= 72 - 2

6

= 70 = 35

6 3

= 11 2

3

Mark your answers like this. Blue, Grey, Black, Purple, Green, Red.
Answers: Constant, Variable, Expression, Coefficient, Term, and Equation.
Just a fun problem.
(NOTE: Brainliest for the correct answer)

Answers

Answer:

Constant is Purple

Variable is Grey

Expression is Blue

Coefficient is Red

Term is Green

Equation is Black

Step-by-step explanation:

It is a funny problem

Let us revise the meaning of the given names

Constant: It is a numerical termVariable: it is an unknown quantityExpression: it is a mathematics statement with a minimum of two terms and at least one math operation.Coefficient: it is the number of the variableTerm: it is formed from a variable or a number or both multiplied togetherEquation: it is formed from two equal sides

Ex:

3 x² + 5x + 7 = 2a - 5 are called equation

[3x² + 5x + 7] and [2a - 5] are called expressions (algebric expression)

[3x²], [5x], [2a] are called terms

[x], [m] are called variables

[7], [-5] are called constants

[3], [5], [2] are called coefficients

Let us answer the question

52x² - 9x + 36 is an expression ⇒ Blue

9x is a term ⇒ Green

7 is a coefficient ⇒ Red

82 is a constant ⇒ Purple

m is a variable ⇒ Grey

52x² - 9x + 36 = 7m + 82 is an equation ⇒ Black

Write the perimeter of the figure.
3x + 2
6x
5x
not to scale

Answers

not to scale

the answer should be

[tex]14x + 2[/tex]

The perimeter of triangle is [tex](14x+2)[/tex] unit.

Perimeter of triangle :

The perimeter of triangle is sum of length of all three sides of triangle.

From figure, sides of triangle are,

                [tex]3x+2,5x,6x[/tex]

Now, find perimeter of given triangle,

                [tex]Perimeter=3x+2+5x+6x\\\\Perimeter=8x+6x+2\\\\Perimeter=14x+2[/tex]

Thus, the perimeter of triangle is [tex](14x+2)[/tex] unit.

Learn more about the perimeter here:

https://brainly.com/question/19819849

200 applicants applied to volunteer at an international tennis tournament. 14 of the applicants were successful. However, of the successful applicants, 15 couldn't make all the training sessions and were discounted. How many were selected to help at the tournament?

Answers

Answer:

The statement is a False statement

Step-by-step explanation:

This question is somewhat lacking in detail or the information is not properly delivered/presented, this can be seen in the two statements bellow

1. 14 of the applicants were successful

2. Of the successful applicants, 15 couldn't make all the training sessions.

The two statements cannot hold true especially statements two, because if 14 volunteers were successful, then 15 volunteers cannot be selected from 14.

The equation of line l is -3y+4x=9 Write the equation of a line that is parallel to line l and passes through the point (-12,6).

Answers

Answer:

D

Step-by-step explanation:

answer plsssss plsss ll mark u as brainlist plllllllllllllzzzzzzzzzzzzzzzz

Answers

Answer:

a =6 b=6

Step-by-step explanation:

i hope this helped u

What operation would you perform first ,and then second when solving for m in the following equation .


10+7M=17
PLEASE SOLVE AS SOON AS POSSIBLE I AM IN A RUSH

Answers

Answer:

dont remember the property names but subtract 10 on both sides then divide by 7 on both sides

Catherine earns a yearly salary of $75,000. Lola earns a yearly salary of $80,000. Catherine will receive a salary increase of $4,800 per year, and Lola will receive a salary increase of $3,900 per year.

Which equation can be used to find n, the number of years it will take Catherine to earn the same salary as Lola?

A - 75,000 + 4,800n = 80,000 + 3,900n
B - 75,000n + 4,800 = 80,000 + 3,900n
C - 75,000n + 4,800n = 80,000n + 3,900n
D - 75,000n + 4,800 = 80,000n + 3,900

Answers

Answer:

A-  75,000+4,800n=80,000+3,900n

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the quiz.

is 3.14 a rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

difference between electrivalent bond and covalent bond​

Answers

Answer:

fijkhyfvkjyfkjhvkjyufrtgj

Step-by-step explanation

jliuhyfvkjuyfghvkj,hfgjhvkm,jhf

Answer:

Electrovalent and covalent bonds are types of chemical bonds. ... The main difference between electrovalent and covalent bond is that electrovalent bond is formed when two atoms are in an electrostatic attraction whereas covalent bond is formed when two atoms share their electrons with each oth explanation:

Plz add me as a friend on here i need friends

Find the slope given the 2 points: (6, 1) & (12, 11)

Answers

Answer: M = Five over three

Please answer this quickly! I’ll give brainlist!

Answers

Answer:

polynomial example

example of a polynomial

this one has 3 terms

To add polynomials we simply add any like terms together ... so what is a like term?

Like Terms

Like Terms are terms whose variables (and their exponents such as the 2 in x2) are the same.

In other words, terms that are "like" each other.

Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.

Example:

7x x -2x πx

are all like terms because the variables are all x

Example:

(1/3)xy2 -2xy2 6xy2 xy2/2

are all like terms because the variables are all xy2

Example: These are NOT like terms because the variables and/or their exponents are different:

2x 2x2 2y 2xy

Step-by-step explanation:

Hope Thats Helps!

Tyler wants to use $300 he has saved to buy a new guitar and join a music club. The guitar costs $140. The music club has a $25 membership fee, and for $11.95 per month, members can download 30 songs.


Tyler can afford the music club membership for [blank]

months, after which he will have [blank]

left.

Answers

Answer:

1. About 11 months

2. 3.55$ would be left

Step-by-step explanation:

1. 300-140=160

160-25=135

135/11.95=11.297

2. 11.95x11=131.45

131.45+25=156.45

156.45+140=296.45

300-296.45=3.55

20(square of 2) + 6(9 + 3)
ANSWER: 472

Answers

What’s the question your asking here ?
Whats the question u already gave an answer

What is 60.36 written in expanded form?








Screeeee

Answers

Hey there!☺

[tex]Answer:\boxed{y=60.36}[/tex]

[tex]Explanation:[/tex]

To write 60.36 as expanded form, you will have to make it an equation. And this is how it would be written:

[tex]y=60.36[/tex]

Hope this helps!☺

3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to total?

Answers

Answer:

1:6

Step-by-step explanation:

I'm good at ratio

Answer:

2:10

Step-by-step explanation:

We know that the number of red marbles is 2 so all we need to do is add up all the marbles to find the total so that equation would be 3+2+5 and that equals 10. Since we are comparing red to total the number of red would come first and the total after that so the ratio would be 2:10.

Is 3.166666667 a rational number or irrational number?

Answers

Answer: it is probably an irrational number

Step-by-step explanation: most exact numbers are rational but most decimal numbers are irrational

PLEASE!!!!!
A cyclist rides her bike at a rate of 10 meters per second. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 2 hours?
Do not round your
answers.
(i’ll give brainliest)

Answers

Answer:

10 meters/sec

1 meter=.001km

10meter=.01km

1hr=3,600 seconds

3,600 sec x .01km = 36 km per hour

36 km/hourx2 hours= 72 km in 2 hours

morris completed the work to solve this problem

Answers

Can you elaborate so I can see if I can help you

Answer:

B,C and E

Step-by-step explanation:

Suppose ST¯¯¯¯¯¯ has one endpoint at S(0, 0). What are the coordinates of T if (4, 5) is 1/3 of the way from S to T? ( , )

Answers

Answer:

coordinates are (8,10)

Step-by-step explanation:

What is the equation in slope-intercept form of a line that is parallel to y=−2x+5 and passes through the point (4, 0)? Enter your answer by filling in the boxes.

y = __x + __

Answers

Answer:

-2x + 8

Step-by-step explanation: yw

Answer:

THE OTHER ANSWER IS CORRECT

Step-by-step explanation:

Imagine that you randomly select a sample of 30 newborn infants and find that their mean weight is 8.1 pounds. The population mean of newborn infants is known to be 7.4 pounds with a standard deviation of 1.1 pounds. Would a sample mean as large as 8.1 be more or less likely if N = 10? Why?

Answers

Answer: more likely

Step-by-step explanation:

Given that :

Population Mean = 7.4

Population standard deviation = 1.1

Sample mean with a sample size of 30 = 8.1

A sample mean of 8.1 will be more likely with a sample size (N) of 10 because, the sampling distribution gets wider with decreasing sample size and narrower with larger sample sizes, hence, sample mean seems to conform with the population mean when the sample size are very large according to the central limit theorem. Hence, since a sample size of 30 results in a sample mean of 8.1, reducing the sample size will either give a similar sample mean or a sample mean further away from the population mean.

10+6x = 15+9x-3x
is this one solution, no solution, or multiple solution if one of 2 please tell me what is x

Answers

Simplifying
10 + 6x = 15 + 9x + -3x

Combine like terms: 9x + -3x = 6x
10 + 6x = 15 + 6x

Add '-6x' to each side of the equation.
10 + 6x + -6x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + 0 = 15 + 6x + -6x
10 = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 = 15 + 0
10 = 15

Solving
10 = 15

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer:

No solution

Step-by-step explanation:

Let's solve this equation to see if there are any solutions.

First we need to simplify it;

10 + 6x = 15 + 9x - 3x

Combine like terms:

6x - 9x + 3x = 15 - 10

0x = 5

0 = 5

Zero cannot be equal to 5, so there is no solution

8(3x + 2) = 2(11x – 5) show work???

Answers

X= -13
Distribution, subtract, simplify, divide then simplify again :)

Answer:

x = –13

Step-by-step explanation:

distribute

24x+16=22x-10

subtract 22x from both sides

2x+16=-10

subtract 16 from both sides

2x=-26

divide by 2

x=-13

Atul has 2/3 lb of candy. Jose has 3/5 lb and Maria has 1/2 lb less than Jose. How many more pounds of candy does Atul have than Maria?

I NEED HELP ASAP

Answers

Answer:

27/30

Step-by-step explanation:

we need to find the common denominator of 5 and 2. Which is 10. We multiply the factors of the denominators by the numerator. This results in 1/10. Now, we subtract 2/3 from 1/10. We need to find common denominators also. Which is 30. 20/30 minus 3/30 is 27/30

PLEASE HELP QUICK THANK YOU
2. A drink recipe calls for orange juice and pineapple juice. This equation represents the proportional relationship
between the number of cups of orange juice (r) and pineapple juice (p) in the recipe.
3r= 12p
What is the number of cups of orange juice used for 1 cup of pineapple juice?
a. 1/4
b. 3
c. 4
d. 12

Answers

Answer:

a. 1/4

Step-by-step explanation:

3r=12p

Divide the left side by 12 to get 1 cup of pineapple juice.

3r=12p

     ----  = p

      12

So now you have

3r=p

BUT you have to divide BOTH sides by 12 so

3r=p

---

12

NOW you have

3/12 r = p

Simplify.

1/4r = p

So 1 cup of pineapple juice is equivalent to a quarter cup of orange juice!

Karen can run 3/8 of a mile in 15 minutes. How many miles can she run in 1 hour?

Answers

She would have run 1.5 Miles in an hour.

what has the same solution as -4(6)

Answers

Answer:-12(2)

Step-by-step explanation: the solution to the question-24 and 12 times 2 is 24 just add a negative to one number

Answer:

-24

Step-by-step explanation:

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