There are 43 tiles in a bag. The colors are red, blue, green and yellow. Find the
number of each color tile given the following ratios:
red : blue = 2 : 3 blue : green = 2 : 1 green : yellow = 2 : 5
what is the number of tiles of each color??

Answers

Answer 1

Answer:

43/13, 129/26, 129/13, 645/26

Step-by-step explanation:

Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:

w + x + y + z = 43    (1)

x = 3/5(w + x)

2x/5 = 3w/5

x = 3/2(w)  

x = 5w/2 - w = 3w/2  (2)

y = 2/3(x + y)

y/3 = 2x/3

y = 2x = 2(3w/2) = 3w    (3)

z = 5/7(y + z)

2/7(z) = 5y/7

z = 5y/2 = 5(3w)/2 = 15w/2   (4)

substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:

w + 3w/2 + 3w + 15w/2 = 43

13w = 43

w = 43/13

x = 129/26

y = 3w = 129/13

z = 645/26


Related Questions

During week 1 of a recycling drive, the fifth grade class recycled 9
pounds of glass and 123 pounds of newspaper. During week 2, the
fifth grade class recycled 8 pounds of glass and 13 pounds of
newspaper. How many more pounds of newspaper than glass did
the class recycle?

Answers

Answer:

119 pounds

Step-by-step explanation:

Glass :

1) 9 pounds

2) 8 pounds

9 + 8 = 17 pounds

Newspaper

1) 123 pounds

2) 13 pounds

123 + 13 = 136 pounds

136 - 17 = 119 pounds

The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?
A 1,989
B 2,022
C 2,652
D 2,685

Answers

The answer is B
Hope it helps.

I need help??????????????

Answers

Answer:

20

Step-by-step explanation:

[tex]50*0.40=20[/tex]

Answer:

20 times at first base

Step-by-step explanation:

Which postulate proves the two
triangles are congruent?

Answers

Answer:

AAS

Step-by-step explanation:

because here it is given that two angle are

equal

and a side is common between both traingle

so, both traingle are congruent by

AAS

hope it helps

Directions: Analyze carefully. Write T if the statement is true and write F if the statement is false.


1. Edge is the flat surface of a solid.
2. Rectangular prisms are solid figures which have 12 edges, 8 vertices and 6 rectangular
faces.
3. A cylinder is a solid figure which has 2 faces and 2 edges.
4. A cone has a flat surface.
5.
Apyramid has triangular faces.​

Answers

Answer:

(1) F

(2) T

(3) F

(4) T

(5) T

Step-by-step explanation:

(1) False; The edge is not a flat surface but rather it is the point where two surfaces meet

(2) True; Rectangular prisms, also known as cuboids have the following properties.

[tex]Edges = 12\\ Vertices = 8\\ Faces = 6[/tex]

(3) False; A cylinder has 3 faces (2 flat faces and 1 curved face)

(4) True; A cone has 1 flat surface

(5) True; All pyramids have triangular faces

Write the percent as a decimal.
0.23
​%
0.23
​%equals

Answers

23% is the answer to your question

If 12 + 6x is 20 more than 16, what is
the value of 12x?

Answers

Answer:

12x = 48

Step-by-step explanation:

Translating the word problem into an algebraic equation, we have;

12 + 6x = 16 + 20

12 + 6x = 36

6x = 36 - 12

6x = 24

x = 24/6

x = 4

To find 12x;

12x = 12 * 4 = 48

Help Urgent!
Answer options

The integer selected will be even.

The integer selected will be a multiple of 5.

The integer selected will be a multiple of 10.

The integer selected will be a multiple of 20.

Answers

Answer:

Step-by-step explanation:

There are 2 multiples of 20

There are 5 multiples of 10

There are 10 multiples of 5

There are 25 multiples of two (even)

So selecting an even integer is most likely.

Add.
(6p + 5) + (2p + 7)

Answers

Answer:

=8p+12

Step-by-step explanation:

(6p+5)+(2p+7)

=6p+5+2p+7

=6p+2p+5+7

=8p+5+7

=8p+12

Answer:

8p + 12

Step-by-step explanation:

=> (6p + 5) + (2p + 7)

=> 6p +5 + 2p + 7

=> 8p + 12...ans

LMNP is rotated 90 degrees clockwise around the origin.
What are the coordinates of P’?

A. P’ (9,0)
B. P’ (0,-9)
C. P’ (-9, 0)
D. P’ (0,9)

Answers

Answer:

B

Step-by-step explanation:

The new position of point P (h, k) will become P’ (k, -h).

Answer:

The answer above me is INORRECT!!! Look below!!!

Step-by-step explanation:

In 2008, the world record for swimming the 50 meter freestyle event was 21.34 seconds. Supposing the athlete swam at a constant rate what was his speed? Round your answer to the nearest hundredth m/s.

Answers

Answer:

Speed of swimmer = 2.34 m/s (Approx.,)

Step-by-step explanation:

Given:

Distance covered in world record swimming = 50 meters

Time taken by free style swimmer = 21.34 seconds

Find:

Speed of swimmer

Computation:

Speed = Distance / Time taken

So,

Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer

Speed of swimmer =  50 / 21.34

Speed of swimmer = 2.34 m/s (Approx.,)

Which functions are nonlinear? Select TWO that apply.
A
y = -5
B
y
+1
х
0
1
2
y
-2
114
-6
-8
3
х
1
y
1
2
3
4.

Answers

Answer:

A,B

Step-by-step explanation:

I think bc I had the same question well something like this in A in B was it

What is the common denominator of 3 4 and 5 8

Answers

Answer:

its 8

Step-by-step explanation:

Help please thank uuuu

Answers

Answer:

B. x = 7; AB = 9, AC = 12

Step-by-step explanation:

12/4 = (x + 2)/(x - 4) (similar triangles theorem)

3 = (x + 2)/(x - 4)

Cross multiply

3(x - 4) = (x + 2)

3x - 12 = x + 2

Collect like terms

3x - x = 12 + 2

2x = 14

x = 14/2

x = 7

✔️AB = x + 2 = 7 + 2

AB = 9

✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)

AC = 9 + 3

AC = 12

A century ago, the average height of adult women in the United States was 63 inches. Researchers believe that the average might be greater today. A random sample of 40 adult women was selected from the population. The sample had mean 64.2 inches and standard deviation 2.9 inches. Assuming all conditions for inference are met, the researchers will perform an appropriate hypothesis test to investigate their belief.

Required:
What is the correct test statistic for the hypothesis test?

Answers

Answer:

t= 64.2-63 / 2.9/ sqrt 40

Step-by-step explanation:

Got it right on AP Classroom

There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

What is the null hypothesis?

The null hypothesis in inferential statistics states that two possibilities are identical. The null hypothesis states that the observed difference is purely random. It is feasible to calculate the probability that the null hypothesis is correct using statistical testing.

1. C) H0: u = 63.7 in. versus H1: u > 63.7 in.

the null hypothesis state that over the years the mean height is 63.7in. the alternative hypothesis will be if the mean height is greater than 63.7

2. z = (variate - mean)/ (standard deviation/

Z = (64.2 - 63.7)/ (20/roots 45) =0.17

meaning there is

B. There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

3. if the level of significance is 0.05 or between  0.05 and 0.01, i.e. the confidence level is 95% or  between 95% and 99%, the results are considered  to be probably significant, i.e. the results  are probably correct,

Therefore, the alternative hypothesis is correct

To know more about the Null hypothesis follow

https://brainly.com/question/15980493

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Please help thank youu

Answers

Answer:

2√73 or 17.09 inches

Step-by-step explanation:

The small red square at the corner of the triangle symbolizes that the triangle is a right triangle. Therefore, to find the hypotenuse of the triangle, we can use the Pythagorean Theorem: a² + b² = c²

a = 6

b = 16

c = ?

Plug these values into the equation.

(6)² + (16)² = c²

Evaluate the exponents.

36 + 256 = c²

292 = c²

Take the square root of both sides to find c.

√292 = √c²

17.09 ≈ c

This is your answer.

You can also simplify the radical without using decimals.

4 • 73 = 292

Therefore,

√4 • √73 = √292

Which also means,

2•√73 = √292

So your answer is: 2√73

Hope this helps!

Answer:

We use the pythagorean theorem a²+b²=c² and in this question

a = 6

and

b = 16

so

36 + 256 = c²

so

c² = 292 so now we take the square root of it to get [tex]\sqrt{292}[/tex]

Hope this helps!

8increase by 3 times a number (t).

Answers

Answer:

8 + 3n

Step-by-step explanation:

Answer:

8 + 3t

Explanation:

Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell’s method for collecting his data?
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Rodell needs a larger sample size than two sports teams to represent a whole school.
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Rodell’s polling method only included fall and winter sports; he should have also included a spring sport like baseball.

Answers

Using sampling concepts, it is found that the due to bias, the correct option is given by:

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

Why is Rodell's sample biased?

The school is composed both by athletes and non-athletes, which should have different gaming apps, for example, athletes may be more likely to play sports games while non-athletes may favor RPG for example.

He surveys only athletes, hence, the correct option is:

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

The correct answer is (A):

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

Step-by-step explanation:

I did the quiz and got it right. Hope this helps you!!!!!


A company's stock was selling at
$30 a share. A month later, it was
selling at $33 a share. What is the
percent gain?

Answers

Answer:

10%

Step-by-step explanation:


What is the sum of
5/13
11/13
and
10/13​

Answers

Answer:

2

Step-by-step explanation:

5/13 + 11/13 + 10/13 = 26/13 = 2

Answer:

2

Step-by-step explanation:

5/13+11/13+10/13 is the same as

(5+11+10)/13

(16+10)/13

26/13

2

what is the answer of 17x12

Answers

Answer:

204

Step-by-step explanation:

17x12=204

The answer is 17x12=204

Triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
What length of segment A'B?

Answers

The length of segment A'B' from the triangle A'B'C' is 6 units.

Given that, triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.

In the given triangle ABC, AB=3 units

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

2=Dimensions of the new shape/3

Dimensions of the new shape=6 units

Therefore, the length of segment A'B' from the triangle A'B'C' is 6 units.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

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you sold brownies for $3 each.You sold 14 more this week than last week altogether. You made $84. how many brownies did you sell each week?

Answers

Answer: 8

Step-by-step explanation: Altogether you sold x last week, if you do x + 14 which is 2x12 brownies sold, then at 3$ each 3(2x+12)=84 so 6x + 36 = 84

84- 36 = 48/6 = 8

Select the correct answer.

Which formula gives the area of rectangle EFHG?
A. area = d × j
B. area = (e+h) × (d+l)
C. area = (e+h) × j
D. area = (e + h) × (f+C)

Answers

A is the answer i did it

A
B
C
D
Or none of the above?

Answers

It would be B because it’s part to whole not whole to part...

A fair Octahedral (eight-sided) die has the
following numbers on te's aces 2,3,1,2,13,11.
each time the die is thrown the score is the
humber on the top face if the die is thrown.
a Once, what is the probability that the scorce is
not 3
b twice, find the probability of scoring a sum
twice, find the probability of Scoring a sum
of 5​

Answers

Answer:

30%

Step-by-step explanation:

Your chance of scoring a 5 is 30%

Write of the equation of a line that passes through (14,25)and(34,75)

:

1- in the point slope form,

2- in the slope -intercept form, and

3- in the standard form

Show all your steps.

Answers

Answer:

1. y-25=5/2(x-14)

2. [tex]y=\frac{5}{2}x-10[/tex]

3. 5x-2y=20

Step-by-step explanation:

first, find the slope, m.

slope = rise/run = (75-25)/(34-14)= 50/20 = 5/2

1. point slope form: y-25=5/2(x-14)

2. [tex]y=\frac{5}{2}x-10[/tex]

3. switch the y to the right side: (5/2)x-y-10=0 --> (5/2)x-y=10

5x-2y=20

URGENT !!! ASAP I need this
25 point !!

You are purchasing "photo books as holiday gifts this year. As page
photo book costs $10.50 and a 10 page photo book costs $17.50. You have
a total of $203 to spend on holiday gifts. Write an equation to model the
situation. If you purchased 5 10 page books, how many 5 page books did
you buy?

Answers

Answer:

87.5 ( not the full answer)

Step-by-step explanation:

5 10 page books will be 17.50 X 5 and that would be 87.5

The rest is 87.5 X 10.50 until you get 203.

sorry couldn't help more.

Anyone know how to do this?

Answers

Answer:

38

Step-by-step explanation:

Yes frist you add 3x+8+62 = 5x+50

Express as a difference: a+5

Answers

Ax5 a➗5 and a-5

................

The expression expressed as a difference is (a - 2) - (-7).

We have,

We can express a + 5 as a difference by subtracting a suitable term from it.

One way to do this is to subtract 2 and add 2, like this:

a + 5 = a + 5 - 2 + 2   (adding and subtracting 2)

     = (a - 2) + 7     (rearranging)

Now,

We can express a + 5 as the difference between a - 2 and -7, like this:

a + 5 = (a - 2) - (-7)

Thus,

The expression expressed as a difference is (a - 2) - (-7).

Learn more about expressions here:

https://brainly.com/question/30968842

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