MATHEMATICS HIGH SCHOOL

A bag contains 135 marbles some white and some transparent. The ratio of white marbles to transparent ones is 3 : 6. How many white marbles are there?

Answers

Answer 1

Answer:

Answer:

Number of white marbles in the bag = 45

Step-by-step explanation:

Total number of marbles in the bag = 135

Ratio of white marble to transparent ones = 3 : 6

Let number of white marbles be $=3k$

Then number of transparent marble will be $=6k$

Total number of marbles will be $=3k+6k=9k$

So we have.

$9k=135$

Dividing both sides by 9.

$(9k)/(9)=(135)/(9)$

∴ $k=15$

∴ Number of white marbles in the bag = $3k=3*15 = 45$

Answer 2

Answer:

Final answer:

In a bag of 135 marbles with a white to transparent ratio of 3:6, there are 45 white marbles, as the ratio simplifies to 1:2. With 3 ratio parts total (2 transparent + 1 white), dividing the total marbles (135) by the total parts (3) gives 45 marbles per part, meaning there are 45 white marbles (1 part).

Explanation:

In mathematics, we can solve the problem by understanding the ratio given. A ratio of white to transparent marbles is given as 3:6. This simplifies to 1:2 meaning that for every 1 white marble, there are 2 transparent marbles.

With the total number of marbles being 135, we can divide this number by the total parts in the ratio to find the number per part. The sum of the ratio is 3 parts (1 part white + 2 parts transparent). So, we have 135 marbles ÷ 3 parts = 45 marbles per part.

Given that the ratio of white marbles is 1 part, the number of white marbles in the bag will be 1 part x 45 marbles/part = 45 white marbles.

Learn more about Ratio here:

brainly.com/question/31549749

#SPJ12

Related Questions

Find the coordinates of point C.A. (3, 5) B. (3, 6) C. (5, 3) D. (5, 4)
On Sunday, a local hamburger shop sold a combined total of 428 hamburgers and cheeseburgers. The number of cheese burgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?
Teresa recorded the number of drinks of each type that she sold on Monday and Tuesday. She sold 300 drinks each day.Which drink represents of the sales for the day? Two two-column tables titled Drinks Sold on Monday and Drinks Sold on Tuesday. In the Monday table, data are Orange juice 150, Grape juice 34, Water 100, Apple juice 16. In the Tuesday table, data are Orange juice 50, Grape juice 65, Water 85, Apple juice 100. A. Orange juice sold on Monday B. Orange juice sold on Tuesday C. Water sold on Monday D. Grape juice sold on Tuesday
Simplify 81^5 = 3^xx=
Why is the sky blue? Thanks :)

Which are sums of perfect cubes? Check all that apply.A=8x6 + 27
B=x9 + 1
C=81x3 + 16x6
D=x6 + x3
E=27x9 + x12
F=9x3 + 27x9

Answers

Answer:

Option A, B, D, E are the sums of perfect cubes

Step-by-step explanation:

Given some choices we have to select the option which are the sums of perfect cubes.

Option A: $8x^6+27$

$8x^6+27$

⇒ $(2x^2)^3+(3)^3$

which is the sum of perfect cube.

Option B: $x^9+1$

$x^9+1$

⇒ $(x^3)^3+(1)^3$

which is the sum of perfect cube.

Option C: $81x^3+16x^6$

$81x^3+16x^6$

⇒ $9^2x^3+4^2(x^2)^3$

which is not the sum of perfect cube.

Option D: $x^6+x^3$

$x^6+x^3$

⇒ $(x^2)^3+x^3$

which is the sum of perfect cube.

Option E: $27x^9+x^(12)$

$27x^9+x^(12)$

⇒ $(3x^3)^3+(x^4)^3$

which is the sum of perfect cube.

Option F: $9x^3+27x^9$

⇒ $3^2x^3+(3x^3)^3$

which is not the sum of perfect cube.

Option A, B, D, E are the sums of perfect cubes

answer

a b d e

hope that helped :)

Use the Distributive Property to evaluate each expression.-2(8-5)

A. -21
B. -6
C. 6
D. 18

Answers

Answer: c

Step-by-step explanation:

You multiply each number by 2 and then you subtract each number then you finally get 6

Suppose △FLX≅△ZAQ.

Which other congruency statements are correct?

Select each correct answer.

△LXF≅△AZQ

△LFX≅△AZQ
△FXL≅△ZQA
△XFL≅△QZA

Answers

In this question you got △FLX≅△ZAQ which mean:
F≅Z
L≅A
X≅Q

Then if you translate the left side of the option it would become like this.
△LXF = AQZ ≅△AZQ (false)
△LFX = AZQ ≅△AZQ (true)
△FXL = ZQA ≅△ZQA (true)
△XFL = QZA ≅△QZA (true)

What is the next fraction in the sequence? 1/3, -2/9, 4/27, -8/81

Answers

Answer:16/243

Step-by-step explanation: multiply the numerator by -2 and multiply the denominator by 3.

What is the approximate volume of the cylinder? Use 3.14 to approximate tt. with a radius of 9 cm and a height of 22 cmA. 1254 cm3
B. 5595 cm3
C. 11,190 cm3
D. 1782 cm3

Answers

multiply 81*22 then multiply the answer to 3.14 and you get 5595

The data represent the number of phone calls received over a 70day period.Day 1 2 3 4 5 6 7
Calls Received 5 2 9 8 3 1 0

What is the mean number of phone calls received?

Answers

Are you talking about 7-day period instead? Or is that really 70?

Anyway, the mean number of phone calls received over the period of time given would be 4 calls. I got to this answer through adding all of the calls and dividing them by the number of days.

Other Questions

Factor the trinomial in to 2 sets of parentheses 12a squared minus 13a minus 35

Please help im so confused??What is the surface area of the sphere below?

what is the completely factored form of t^4 − 16? (t^2 4)(t^2 − 4) (t^2 4)(t 2)(t − 2) (t^2 4)(t − 2)(t − 2) (t 2)(t 2)(t 2)(t − 2)

Susan wants to make pumpkin bread and coffee cakes for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her pumpkin bread recipe uses 2 eggs and 3 cups of flour. Her coffee cake recipe uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and coffee cake loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of coffee cake Susan bakes. What is the objective function for the problem? A. P = 15x + 16yB. P = 5x + 7y C. P = 5x + 4y D. P = 4x + 5y