There are some small cubes and some large cubes in a bag.
The cubes are red or the cubes are yellow.
The ratio of the number of small cubes to the number of large cubes is 4:9
The ratio of the number of red cubes to the number of yellow cubes is 3:5
a) What is the least possible number of cubes in the bag?
b) work out the least number of large yellow cubes in the bag.​

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

What a wonderful problem. I've never seen one quite like it.

Red to Yellow

The Red to Yellow ratio is given as 3:5

The total number of Red and yellow is something to 8. You get that just by adding the ratio. Let's check it out.

The reds are 3 to 8 and the yellows are 5 to 8.

Does that make sense? 3/8 + 5/8 = 8/8. All the cubes are accounted for.

Small to Large

The given ratio is 4:9

The smalls are 3/13 and the large are 9/13

3/13 + 9/13 equal 13/13 and all the cubes are accounted for.

What is the least possible number that will accomplish this?

8 * 13 is the very least number that will accomplish this. How come?

Because you have two conditions that must be met -- size and color. No other number will work.  Any other number will leave a remainder when you put color and size together. So the smallest number you can use is 104,

Last question: Least Number of Large Yellows

The color yellow is 5/8

The size is Large 9/13

So the calculation is

5/8 * 9 / 13 * 104

= 5 * 9

= 45

Notice that the 8 and 13 cancel out. You are left with the number of Yellows and Large =45

Note

I'll leave the other 3 combinations to you. They should add up to 104.

3/8 * 9/13 * 104 = 27

5/8 * 4/13 * 104 = 20

3/8 * 4/13 * 104 = 12


Related Questions

Mr. Liáng made a circular tablecloth to cover the top of a table. If the diameter of the tablecloth measures 50 inches, which measurement is closest to the area of the tablecloth? F 625 in.2 H 3,140 in.? G 1,900 in.? J 7,500 in.2 OF​

Answers

Answer:

F. 625

Step-by-step explanation:

625 times 2

= 1256

round it to

= 1250

Hope this Helps

Have a nice day

Candice drives a total of 48 miles each day to work and get back home. She works five days a week. Her car gets 21 miles per gallon of gas. About how many gallons of gas does she need to drive to work and back home each week

Answers

Answer:

Total gallon of fuel used = [tex]11.428[/tex] gallons

Step-by-step explanation:

Given -

The total distance travelled by car in one gallon of gas = 21 miles

Total distance travelled each day = 48 miles

Number of days days in a week in which Candice drive is 5 days

Total miles travelled per week = [tex]48*5[/tex] = 240 miles

Total gallon of fuel used = [tex]\frac{240}{21} = 11.428[/tex] gallons

HELP OMG!! 5+2x twice a number more than 5 ??!!

Answers

Answer:

5+2(6)

5+12 = 17

Step-by-step explanation:

Hope this is what you were talking about.

Simplify the following using BODMAS
3p + [5 − (2p + 7q)]

Answers

Hopes this helps if it don’t than sorry:

Answer: p + 5 - 7q

Answer:

So frist thing is frist, since we are using the BODMAS. We should start with the numbers in the brackets, simplify the small bracket frist.

3p + [ 5 - (2p + 7q)]

= 3p + (5 - 2p - 7q)

= 3p - 2p - 7q + 5

= p - 7q + 5

Your challenge . . . Part 1: Your math class is celebrating McNugget Monday and needs to order 531 Chicken McNuggets. If they are sold in packages of 4, 6, 9 and 20, determine TWO possible ways that 531 Chicken McNuggets can be ordered. Be sure to verify your answer.

Part 2: If McDonalds stop making the 6 pack, is there a largest number of Chicken McNuggets that cannot be purchased? If so, what is the number? If not, explain why not?

Answers

Answer:

You can get 25 packs of 20 and 3 packs of 9 and 1   4 piece.

OR

59 packs of 9 pieces

PART 2-

No because you can still get a 9 piece and 20 piece.

Step-by-step explanation:

Answer:

24 packs of 20=480

3 packs of 9=27

2 packs of 6=12

3 packs of 4=12

480+27+12+12=531

22 packs of 20=440

8 packs of 9=81

1 pack of 6=6

1 pack of 4=4

440+81+6+4=531

Step-by-step explanation:

I need help with this question.?

Answers

Answer:

D

Step-by-step explanation:

just did it

find constants p and q such that x^4-2x^3-x^2+2x+10=(x^2+px+5)(x^2+qx+2)

Answers

Answer:

p = -4 q = 2

Step-by-step explanation:

Expand the brackets ( yes the entire thing).group together the values with same co-effiecients; like (q+p)x^3 etc etc.equate the co-effiecients on the left hand side to the now grouped ones on the right, for example [x^3]: -2x^3= (q+p)x^3, the x^3 cancels and ull get an equation only in terms of p and q. do the same for [x] and ull get an equation with only q, solve this and get the value for q [q = 2].sub in this value for the [x^3] equation and ull get an answer for p [p= -4].

hope my explanation is understandable lol

how do i figure out this equation 3(x+4)=-3

Answers

You can use the distributive property
3x+12=-3
3x=-15
x=-5

3(-5+4)=-3
3(-1)=3
-3=-3

Directions: Write the following numbers in their expanded form to show
their place values

_+_+

Answers

Answer:

2000, 100, 30, 4

4000, 800, 0, 4

Any helpers? Will give brainliest!!

Answers

Answer:

POSITIVE

Step-by-step explanation:

GOT THAT TEST WHEN I WAS 14

***I WILL GIVE BRAINIEST TO THE CORRECT ANSWER**
Latasha and Hercules are collecting drones in a ratio of 5:10. If they collected 270 drones altogether, how many drones did Latasha
collect?

Answers

Answer:134 if they both collected half of the drone's

Step-by-step explanation:

270%2=134

Sylvia is fencing a rectangular rose garden. The hardware store sells fencing for
$22.50/m. Her family has $250 to spend. What dimensions should Sylvia use to
build a garden with the greatest area?

Answers

Answer:

Total Money= $250

Fence Price=$22.50/m

Metres can buy= $250/22.50= 11.11 metres


through: (-5, 4), slope =-3/5

Answers

Answer:

y - 4 = (-3/5)(x + 5)

Step-by-step explanation:

Use the point-slope formula y - k = m(x - h)

Here, y - 4 = (-3/5)(x + 5)

i wish i knew this problem

no link! Just pls answer

Answers

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ A. 120cm ^3

I WOULD APPRICIATE BRAINLIEST!

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Answer:

3769.91

PS: it is probably wrong!

need help!!!!!!!! thanks :)

Answers

Answer:

10,000

Step-by-step explanation:

Down by 3,000

Year 5 it'd be 13,000

Year 6 it'd be 10,000

Ms.Poppy has finished grading her student's tests. The scores were the following: 51, 55, 55, 62, 65, 72, 76, 78, 79, 82, 83, 85, 91, and 93
find the meadian
find the mean

Answers

Answer:

Meadian: 77

Mean: 73

Step-by-step explanation:

PART A: Write a system of linear equations to model this situation where x represents the pizza and y represents the bags of wings. Use the system to answer the following questions.

Answers

Answer:

x -3

Step-by-step explanation:

what is the quotient of y and 11

Answers

Answer:

y ÷ 6 = 11

pls give me brainliest

In January Todd was able to lift 127 1/2 lb. In February he could lift 135 lb, and in March he could lift 142 1/2 lb. If he continues at this rate what will Todd be able to lift in July?

Answers

Answer:

172 1/2 lb

Step-by-step explanation:

Determine the rate of change per month = lifts lifted in march - lift lifted in February

142 1/2 - 135 = 7 1/2

Determine the number of months from march to July = 4

increase in weight he would be able to carry in 4 months = 7.5 x 4 = 30 lb

weight he would be able to carry in april = 30 + 142 1/2 = 172 1/2

Classify the quadrilateral. A. square B. rhombus C. trapezoid D. rectangle also how do you add a picture​

Answers

Answer:

Hello! Your answer would be, A) Square

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Are the expressions (−2)4 (−4)2 equal? Explain your answer.​

Answers

Answer:

no

Step-by-step explanation:

Yes because in multiplication it doesn’t matter by which order you start
And since both are negative the answer will be the same

hii please help i’ll give brainliest

Answers

-(-3) is the right answer

the graph shows the function y=3x-1. What are the cordinates of intercepts

Answers

Answer:

[tex]y \: intercept : when \: x = 0 \\ y = (3 \times 0) - 1 = - 1 \\ = > (0, - 1) \\ x \: intercept : when \: y = 0 \\ 0 = 3x - 1 \\ x = \frac{1}{3} \\ = > ( \frac{1}{3} ,0) \\ intercepts : (0, - 1) \: and \: ( \frac{1}{3} ,0)[/tex]

State if the triangles in each pair are similar. If so, state how you know they are similar
A. Similar by the sss rule
B.not similar
C. Similar by the aa rule

Answers

Answer:

c) similar by the AA rule

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Answers

The answer is C. 3y = 15

What percent's falls between 0.5 and 0.6

Answers

5 rational numbers between 0.5 and 0.6 can be any 5 numbers up to any number of decimal places that lies between 0.5 and 0.6. Or, it can also be 0.5124, 0.5676, 0.588, 0.59, 0.5789.S

Chelsea jogged 1.3 miles every weekday and 0.7 miles on Saturday. How many miles did Chelsea jog in 2 weeks

Answers

Answer:

14.4 miles

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Please help. What is the answer!?

Answers

Answer:

4/19

Step-by-step explanation:

because, in the sequence they are subtracting 3 in each one it goes so, first it was 16-3= 13, 13-3= 10, and so on. Hope I helped :3

Which exponential expression is equivalent to the one below? (6x3)^5

Answers

Answer:

Hi! The answer to your question is D. [tex]6^5 * 3^5[/tex]

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Enter your answer in the box

Answers

Answer:

m∠A = 116°

Step-by-step explanation:

For better understanding of the solution, see the attached figure of the problem :

The quadrilateral ABCD is inscribed in a circle, Thus the quadrilateral ABCD is a cyclic quadrilateral.

Also, Sum of opposite angles of a cyclic quadrilateral is supplementary.

Now, m∠A = (x - 36)°, m∠B = 28° and m∠D = x°

But, since the sum of opposite angles is 180°

⇒ 28° + x° = 180°

⇒ x = 180 - 28

⇒ x = 152

So, m∠A = (x - 36)°

⇒ m∠A = (152 - 36)°

⇒ m∠A = 116°

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