In a bag,There are red and blue cubes in the ratio 4:7.I add 10 more red cubes to the bag.Now here are red and blue cubes in the ratio 6:7.How many blue cubes are in the bag?

Answers

Answer 1

Given:

The ratio of red and blue cubes is 4:7.

After adding 10 more red cubes the ratio of red and blue cubes is 6:7.

To find:

The number of blue cubes.

Solution:

The ratio of red and blue cubes is 4:7.

Let the number of red and blue cubes be 4x and 7x respectively.

After adding 10 more red cubes.

Number of red cubes = 4x+10

Then, the ratio of red and blue cubes is 6:7.

[tex]\dfrac{4x+10}{7x}=\dfrac{6}{7}[/tex]

[tex]7(4x+10)=6(7x)[/tex]

[tex]28x+70=42x[/tex]

[tex]70=42x-28x[/tex]

[tex]70=14x[/tex]

Divide both sides by 14.

[tex]5=x[/tex]

Now,

Number of blue cubes in the bag is

[tex]7(5)=35[/tex]

Therefore, the number of blue cubes is 35.


Related Questions

Will mark Brainlyest Use the properties of exponents to simplify the expression(y^3/2 X^-1/2)^4

Answers

Answer:

the answer would be y^6/x^2

Step-by-step explanation:

so (Y) to the sixth power over (X) to the second power

which one is it???? .

Answers

Answer:

option A, I guess .....

.

The distance from Matt’s home to school is 5/8 of a mile. He has biked 3/8 of a mile. How much further does he have to bike?

Answers

Given:

The distance from Matt’s home to school is [tex]\dfrac{5}{8}[/tex] of a mile.

He has biked [tex]\dfrac{3}{8}[/tex] of a mile.

To find:

How much further does he have to bike?

Solution:

We have,

Total distance from Matt’s home to school = [tex]\dfrac{5}{8}[/tex] of a mile.

Distance covered = [tex]\dfrac{3}{8}[/tex] of a mile.

Remaining Distance = [tex]\dfrac{5}{8}-\dfrac{3}{8}[/tex] of a mile

                                 = [tex]\dfrac{5-3}{8}[/tex] of a mile

                                 = [tex]\dfrac{2}{8}[/tex] of a mile

                                 = [tex]\dfrac{1}{4}[/tex] of a mile

Matt has [tex]\dfrac{1}{4}[/tex] mile left to bike.

Therefore, the correct option is A.

What is a slope of a line parallel to the line whose equation is Y - X = 5

A) -1
B) 1/5
C) 1
D) 5

Answers

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - x = 5 ( add x to both sides )

y = x + 5 ← in slope- intercept form

with slope m = 1

Parallel lines have equal slope, thus

the slope of a parallel line is m = 1 → C

Solve: 5/2x - 1/3= -1/2

A. x=-5/12
B. x= -25/12
C. x= -1/15
D. x= 1/3​

Answers

Answer:

c. x = -1/15

Step-by-step explanation:

5/2x - 1/3 = -1/2 [multiply the whole equation by 6 (lowest common denom)

15x - 2 = -3 [add 2 on both sides of equation

15x = -1 [divide both sides by 15 to isolate x]

x = -1/15

Answer is c. Change the denominator of 1/3 and 1/2 to 6 so you have 3/6 for 1/2 and 2/6 for 1/3. then add 2/6 to both sides to get -1/6 then isolate x.

Read the excerpt from The Monsters Are Due on Maple Street.

56. TRACK SHOT – STEVE 56.

From several yards down as he walks down the steps of his porch, walks down the street over to Les Goodman's house and then stops at the foot of the steps.

57. REVERSE ANGLE – LOOKING TOWARD SCREEN DOOR 57.

Goodman stands there, his wife behind him very frightened.

GOODMAN

Just stay right where you are, Steve. We don't want any trouble but this time if anybody sets foot on my porch that's what they're going to get—trouble!

Based on Goodman’s reaction to Steve, what will most likely happen next?

Les and Steve will have a heated argument.
Everyone in the neighborhood will go home.
The anger and fear among the neighbors will increase.
Les will turn out to be an alien invader in disguise.

Answers

Answer:

C. the anger among the neighbors will increase

Step-by-step explanation:

i got 100 on my quiz

Answer:

C) The anger and fear among the neighbors will increase

Step-by-step explanation:

Based on the evidence in the excerpt, what will most likely happen next. A) The crowd will turn against Steve, believing he is an alien in disguise.Which of the excerpts from The Monsters Are Due on Maple Street is an example of foreshadowing? A)“Where is Pete Van Horn anyway? Didn't he get back yet?”Which of the excerpts from The Monsters Are Due on Maple Street best foreshadows that the residents of Maple Street will turn against Les Goodman? B)“He always was an odd ball. Him and his whole family. Real odd ball.”Based on Goodman’s reaction to Steve, what will most likely happen next? C) The anger and fear among the neighbors will increase.Based on Steve’s actions in the first part of The Monsters Are Due on Maple Street, readers may have predicted that Steve would continue being the town’s leader during the power outage. How should readers revise this prediction after Don asks Steve about his radio? C)Readers should now predict that Steve will no longer be in charge.Which excerpt from The Monsters Are Due on Maple Street best foreshadows the idea that the residents of Maple Street are becoming a dangerous mob? A) The crowd picks this up again and with it their suspicions come back with a rush. The murmur becomes a loud chant filling the air with accusations and demands for action. Two of the men pass Don right up the steps. Goodman flattens himself against the screen door.The writer of this excerpt uses  D)indirect characterization to show that Les Goodman is nervous.What do Don’s words suggest about him? C)Don is suspicious of Les Goodman.What do Steve’s reactions to Mrs. Goodman and Charlie show the reader about Steve? D) Steve is sensible and unafraid.How does Woman One’s claim about Les Goodman affect other elements in the story? B)The neighbors become even more suspicious of Les Goodman.

Tim knows that he can travel a distance of 240 miles when his car’s gas tank is filled to its capacity. The capacity of his car’s gas tank is 12 gallons. Which best describes the domain of the function? only integers where 0 ≤ d ≤ 12 only integers where 0 ≤ , d , ≤ 12 only integers where 0 ≤ d ≤ 240 only integers where 0 ≤ , d , ≤ 240 all real numbers where 0 ≤ d ≤ 12 all real numbers where 0 ≤ , d , ≤ 12 all real numbers where 0 ≤ d ≤ 240

Answers

Answer:

tell tim to ask jeff bezoz for his oil so he wont need to solve hard math equations everytime

Step-by-step explanation:

go to his house and ask him to pay

Jeff bezos is a good friend of Tim ask him sir 9 hope you

The area of a rectangle can be found by multiplying the length times the width. Which of the following is an algebraic representation of this?

3LW

L + W

LW

3L + 3W

Answers

Answer:

I believe the correct answer is the 3rd one. L(W).

Answer:

LW

Step-by-step explanation:

In the inequality
a> 3x+8 or a>-4x-1, which value of a does the solution consist of numbers greater than -6 and less than 5?
A-16
B-26
C-19
D-23

Answers

Answer:

I think it is B correct me if I am wrong

Step-by-step explanation:

Name theorem or postulate?

Answers

Answer:

SAS

Step-by-step explanation:

standard form of 0.000064

Answers

Answer:

6.4 × 10^-5

This is the standard form of 0.000064.

I need help I will mark brainliest for the first and best answer ​

Answers

Answer: 10 units

Step-by-step explanation:

The k-value of an expression represents the vertical shift. In this case, the k value is 10. Thus, the vertical shift is 10 units.

PLS HELP: I am unsure how to calculate this into final numbers.
Cal Amity found that 24% of his sample answered "yes" to the third survey question, which was, "Have you done anything, or will you do anything, to prepare any other part of your home before Gourmando's visit?" (880 Surveyed)

Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare another part of their homes before Gourmando's visit.

Answers

880 were surveyed.

24% answered yes.

Multiply number of surveyed by percentage that said yes:

880 x 0.24 = 211.2

Since the answer has a decimal, the number of people would be the whole number above and below the decimal.

The answer is between 211 and 212

Answer:

Let the number of people answered "yes" be x

[tex]24\% \: of \: 880 \\ \frac{24}{100} \times 880 = 211.2 = 211(approx)[/tex]

211 of the people answered "yes".

Jim runs 10 yards, then turns 180 degrees and runs 10 more yards. After repeating the turn and run two more times, he ends up 25 yards away from where he started. How?

Answers

Answer:

The answer would be 45

Step-by-step explanation:

Answer: 45 I believe

Plzzzz help I’ll mark you

Answers

Answer:

3/10 liters more

Step-by-step explanation:

8/10 - 5/10 = 3/10

An ant carries food at a speed of 0.01 m/s. How long will it take the ant to carry a cookie crumb to the ant hill, a distance of 50 m? Express your answer in hours.

Answers

Answer:

5000 seconds

Step-by-step explanation:

0.01*100=1

100*50=5000

Answer:

about 1.4 hours

Step-by-step explanation:

1 * 50 / 0.01 = 5,000

5,000 / 60 = 83.3 ---> 83.8 / 60 = 1.4

The weight of an object on Mars varies directly with its weight on Earth.An object that weighs 50 pounds on mars weighs 150 on Earth.If an object weighs 120 pounds on Earths,write and solve a direct variation equation to find how much an object would weigh on mars.

Answers

Answer:

Formula: y = x/3. Answer: 40 pounds.

Step-by-step explanation:

To solve this, we divide 150 by 50. This gets us 3. This means your weight on Earth is 3x your weight on Mars. That means we can make a formula. Our formula is y (weight in pounds on Mars) = x (weight in pounds on Earth)/3. Let's plug 120 in our formula. 120/3 is 40. This means the weight of the object on Mars is 40 pounds.

What is the coefficient in the term k?
A.0
B.1
C.2
D.k

Answers

if they term is just k, 1

3/4 c - 7/12 + 7/24 c + 2/3 - 1/6 c

Answers

Answer:

c+1/12

Step-by-step explanation:

18/24c-7/12+7/24c+8/12-4/24c=c+1/12

Answer:

(7/8)c

Step-by-step explanation:

The LCD here is 24.  Multiply all five terms by 24 and then divide the sum of the five results by 24:

18c - 14 +  7c + 16  - 4c            21c

--------------------------------  =  --------------

                24                            24

Dividing both 21 and 24 by 3, we get the fully reduced form 7c/ 8 = (7/8)c

which expression is the best estimate of 1 1/5 X 3 2/3
A: 2 X 3
B: 1 X 4
C: 2 X 3
D: 1 X 3

Answers

I think it may be B. 1 X 4 :)

I need to simplify the complex fraction.​

Answers

Answer:

(15 – 22x)/4x(2x – 5)

Step-by-step explanation:

Let us take the numerator first:

(1/2x – 5) – (7/8x – 20) = (1/(2x – 5)) – (7/4(2x –5)) = (8x – 20 – 7(2x – 5))/(4(2x – 5)(2x – 5)

= (8x – 20 – 14x + 35)/4(2x – 5)² = (15 – 22x)/4(2x – 5)²

The denominator is: x/2x – 5

So we now have:

(15 – 22x)/4(2x – 5)² ÷ x/(2x – 5) = (15 – 22x)/4(2x – 5)² x (2x – 5) /X = (15 – 22x)/4x(2x – 5)

Can you help me with these questions pls

Answers

So for the angles you would take 87 and 17 and subtract it and that’ll be your answer

Which situation can be modeled using a linear function? A) the population of yeast that doubles after every minute B) the height of a projectile after it is launched C) the distance covered by a car moving at a constant speed D)the cost of a printing machine that depreciates every year at 2% per year

Answers

Answer:

c

Step-by-step explanation:

because the car is moving at a CONSTANT speed meaning the distance will constantly increase

HELP PLS ITS TIMED TEST TY-
A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4).

The city planner wants to plant a tree at the orthocenter of the park. What are the coordinates of the tree?

ANSWER: (__,__)

Answers

Answer:

(1,4)

Step-by-step explanation:

Answer:

1, 4

Step-by-step explanation:

Chloe charged for admission to her play on three different nights. Each night, a
different number of people were in attendance, but remarkably, Chloe collected
S541 each night. If the admission charges for each child and each adult were $9
and S17, respectively, how many people in total came to the three showings?

Answers

Answer:

The number of people in total that came to the three showings is 138 people

Step-by-step explanation:

The amount Chloe collected each night for admission to her play = $541

The admission  charge for each child = $9

The admission  charge for each adult = $17

The number of people attending the play each of the three nights are different

Let x represent the number of children that attend the play on the first night and ley y represent the number of adults that attend, we have;

9·x + 17·y = 541

For the second night, we have;

9·a + 17·b = 541

For the third night, we have;

9·c + 17·d = 541

27·(x + a + c) + 51·(y + b + d) = 1,623

Using Microsoft Excel, where we create a series with the first term = 541 and the common difference, d = -9 and number the adjacent column serially from 1 to 61 and the on the right column we divide the created series by 17 then we search for the whole number combinations, we get three possible combinations as follows;

12 children and 26 adults

29 children and 17 adults

46 children and 8 adults

Therefore, the number of people in total that came to the three showings = 12 + 26 + 29 + 17 + 46 + 8 = 138

The number of people in total that came to the three showings = 138 people.

Which dot plot matches the tally chart below?

A 2-column table with 5 rows. Column 1 is labeled Pull-ups Completed in one minute with entries 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 2, 5, 3, 1, 2.

Answers

Answer:

(A) my friend

Step-by-step explanation:

please mark Brainliest because the other answer above me is wrong

Answer:

A

Step-by-step explanation:

12. The number of mold spores in the school bathroom sink started at 4. The number of spores doubled every day. The equation f(x)=4•2^x models the situation. How many mold spores will
there be after 6 days?
spores

Answers

Answer: i dony know honestly

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

If you start off with 4 and it doubles every day, by day two you would have 8 spores then by day three you will have 16 because it doubles itself. Day four you have 32, day 5 you will have 64 and finally day 6 you will have 128

will someone please check my work? is this answer correct? reply asap :)

Answers

the answer is altitude because of the segment

Answer:

perpendicular bisector

Step-by-step explanation:

A line that is both perpendicular to a segment and cuts it in half , as is the case here is a perpendicular bisector

Just put the answer A B C D please

Answers

Answer:

B

Step-by-step explanation:

Mika taught her sister the steps for diviting a decimal by a decimal which instructions are correct

Answers

Complete question is;

Mika taught her sister the steps for dividing a decimal by a decimal. Which instructions are correct?

A) 1. Multiply the divisor by a multiple of 10 to create an integer divisor. 2. Multiply the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.

B) 1. Multiply the dividend by a multiple of 10 to create an integer. 2. Multiply the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.

C) 1. Divide the divisor by a multiple of 10 to create an integer divisor. 2. Divide the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.

D) 1. Divide the dividend by a multiple of 10 to create an integer. 2. Divide the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.

Answer:

A) 1. Multiply the divisor by a multiple of 10 to create an integer divisor. 2. Multiply the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.

Step-by-step explanation:

In Mathematics, divisor is the number by which the dividend should be divided.

Now, if we want to divide a decimal by another decimal, to make things easy we have to transform both numbers from decimals to integer form to make direct division easier.

The first step will be to multiply the divisor by a multiple of 10. The multiple of 10 will depend on the number of decimal places.

The second step is to do the same to the dividend.

The last step would be to divide the integers by applying rules of division of numbers.

The correct option is Option A:

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