Arjun had some chocolates with him. He gave one fourth of them to Arun and one-sixth of them to Varun. Arjun could do so without breaking any chocolate. Which of these could be the number of chocolates Arjun had in the beginning?

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

Arun = ¼

Varun = ⅙

Required

Determine the possible initial number of chocolate

The question requires options to work with which are missing; however, I'll explain how to solve and also list out possible options to make use of.

The question says Arjun gave out fractions of his chocolate without breaking an of them; this means that he gave out whole chocolate (i.e. whole number)

So, to solve this, we multiply the fraction given to Arun and Varun.

Any of the options that results in non decimal integer answers the question.

Take for instance, the options are:

a) 8 b) 15 c) 20 d) 48

Option A: 8

Arun = ¼ * 8 = 2

Varun = ⅙ * 8 = 1.33

Option B: 15

Arun = ¼ * 15 = 3.75

Varun = ⅙ * 15 =2.5

Option C: 20

Arun = ¼ * 20 = 5

Varun = ⅙ * 20 = 3.33

Option D: 48

Arun = ¼ * 48 = 13

Varun = ⅙ * 48 = 8

Option D answers the question because other options resulted in decimals for either Arun or Varun or both of them.


Related Questions

Find the area enclosed by the cardioid r = 1 − sin θ (4 points)

answer choices
3 times pi over 2


12π

Answers

Answer:

Step-by-step explanation:

1.
Solve the equation.
35.3 = d - (-2.81)
38.11
32.49
-38.11

Answers

35.3 = d - (-2.81)

Double negative = positive

35.3 = d + 2.81

Now subtract 2.81 on both sides

32.49 = d

can someone help me with this question 2x+3=15 is x

Answers

Answer:

x=6

Step-by-step explanation:

2x+3=15

subtract 3 on both sides

2x=12

x=6

The answer is 6, because 15-3 is 12, and to get 12, you would have to do 2•6, so (2•6)+3=15. So, x=6.

Translate this sentence into an equation.
51 is the sum of 17 and Chrissy's height.
Use the variable c to represent Chrissy's height.

Answers

Answer:

c + 17 = 51

Step-by-step explanation:

a number of park tickets are purchased online.Each ticket costs $25 and it costs $8 to ship the entire order. Write an expression to represent the total cost for t tickets. Then find the total cost if 12 tickets are purchased

Answers

Answer:

25x + 8 = t 25(12) + 8 = 308

Step-by-step explanation:

x = amount of tickets

t = total cost

Henry wants to join a book-of-the-month club. The first club costs $40 to join and $10 per book. The second club costs $15 per book and has no fee to join. How many books would need to be purchased from each club for the clubs to cost the same?

Answers

Answer:

Step-by-step explanation:

For club 1 - 2 book

For club 2 - 4 books

Club 1 has a $40 fee + 2 books = $60 in total

Club 2 has a $0 fee + 4 book = $60 in total

I'm pretty sure I'm right

Answer:

There would have to be 2 books purchased from the first club. Then, there would have to be 4 books purchased from the second club.

Step-by-step explanation:

1st club.  (cost of club) 40$ + (cost of 2 books) 20$ = 60$.

2nd club. (cost of books) 15$ x  (how many books) 4 = 60$

what is the degree measure of f?

Answers

Answer:

98

Step-by-step explanation:

hi there i dont kno but u can ask your mom

Find the missing length.
Assume that all intersecting sides meet at right angles. Be sure to include correct unit i. your answer

Answers

Answer:

11cm

Step-by-step explanation:

5+6=11

hopefully this helps :)

Answer:

the answer would be 35cm

Step-by-step explanation:

7+6+8+5+15=35

HELP PLEASE GET BRAINLIST!!

solve for x,
90 - 3/2x ≤ 30

Answers

Answer: x>- -40

Step-by-step explanation:

If Sam kicks a soccer ball that has a mass of 10 kg with an acceleration of 22 meters per second squared, what is the force he kicked the ball with?
A. 22 Newtons
B. 220 Newtons
C. 2222 kg
D. 220 kg

Answers

Answer:

220 i think but im not sure

Step-by-step explanation:

On a bicycle you can travel 60 miles in 6 hours. What are both unit rates in this situation?

Answers

Answer:

10 i believe

Step-by-step explanation:

Answer:

10 miles / 1 hour

0.1 hours / 1 mile

On Monday, Dalaya had $15. On Tuesday, she bought a T-shirt for $12. On Wednesday, she found $5.50 on the street. On Friday, she found $3 in her pocket, and then spent $8 on a cheeseburger for lunch.

Write two expressions to represent the changing amounts of money Dalaya has: one using only addition and one using only subtraction.
Determine how much money Dalaya has by the end of the day on Friday. Show your work to justify your answer.

Answers

Answer:

$3.50 at the end of friday. 15-12+5.50+3-8 hope that helped.

Step-by-step explanation:

(92 - 12) – 4 = 2 (2 + for
4.0)
I

Answers

Answer:

Step-by-step explanation:

(92 - 12) – 4 = 2 (2 + for

4.0)

I

free brainliest cuz im lit not really tho but just hurry up and stop reading this and answer

Answers

Answer:

i really need a brainliest

Step-by-step explanation:

IMMM LITTTTT ‼️‼️‼️ HYPEREED UP

Answer the Question Below with Explanation

Answers

Answer:

8 workers

Step-by-step explanation:

This a ratio type of question, you want to identify the similarities between 6 workers and 3 days. Ignore the 8 hours part, it's to mess with you!

6=The amount of workers

3=The amount of days it took them to complete a wall

6/3=2

So by increasing the amount of workers by to you'll get 8 workers.

WILL GIVE 5 STARS
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.

Answers

Answer:

Step-by-step explanation:

to know:

-to be paralel the lines have to have the same slope

-to be perpendicular the slope has to be negative invers of thhe other

-to be neither has to be none of the above two

equation to compare to is

y=mx+b where m is the slope

if your equation does not have this form make it have this form

2y=3x+1 so divide by 2

y=[tex]\frac{3}{2}[/tex] x+1 so here the slope is [tex]\frac{3}{2}[/tex]

4x+6y=14 so subtract 4x and then divide by 6 to isolate y

6y= -4x+14

y=[tex]\frac{-4}{6}[/tex]  x + [tex]\frac{14}{6}[/tex]  symplify

y=[tex]\frac{-2}{3}[/tex] x + [tex]\frac{7}{3}[/tex]  so the slope here is [tex]\frac{-2}{3}[/tex]

So if you compare the slopes you can see that are negative reciprocal of eachother so the lines are perpendicular

and so on...

What is the equation of the line in slope-intercept form that passes through the point (-9, 3) and has a slope of 2/3?

Answers

Answer:

y= -2/3x-3

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b. m=Slope. b=y-intercept. Therefore the equation would be y= -2/3x-3

Answer:

y=2/3x + 9

Step-by-step explanation:

There are 515 students who attend central middle school. Three out of every 5 students live within 1 mile of the school. How many students at central middle school live within 1 mile of the school?

Answers

Answer:

103 students live 1 mile away from the school.

Step-by-step explanation:

First dicide what the problem is really asking you then you end up getting divisoin them divide 515/3.

4x - 9 = 35
Given: 4x– 9 = 35
Prove: x= 11
What are the reasons for the statements below?
4x - 9 = 35
4x = 44
X=11

Answers

Answer:

Step-by-step explanation:

4x - 9 = 35                   Add 9 to both sides

4x - 9 +9 = 35 + 9        Combine like terms

4x = 44                         Divide both sides by 4

4x/4 = 44/4                  Complete the division

x = 11

Which expression is equivalent to 9q2-(3q - 7) +5q??
) ?
3

Answers

[tex]9q^2-(3q - 7) +5q= \\\\=9q^2-3q + 7 +5q= \\\\=9q^2+2q + 7[/tex]

HELPZ. Find value of x and all the measures of all angel

Answers

Answer: x = 40

have: ∠A + ∠B + ∠C + ∠D = 180°

⇔ x + 6 + x + 4 + x +10 + x = 180°

⇔ 4x + 20 = 180

⇔ x = (180 - 20)/4

⇔ x = 160/4 = 40

Step-by-step explanation:

expand this question
(a+3)(a+5)

Answers

Answer:

Work shown below!

Step-by-step explanation:

(a + 3)(a + 5) = [tex]a^{2} +5a+3a+15=a^{2}+8a+15[/tex]

(a+3)(a+5)
a(a+5)+3(a+5)
a^2+5a+3a+15
a^2+8a+15

There are 8 people working on a project with m tasks, and for each task, there are 4 people participating in. We know that any two persons work n tasks, n>0. What is the minimal value of m?

Answers

Answer:

2 tasks because you look and it says there are  8 people and 4 for each task

Step-by-step explanation:

hope this helps

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

Answers

Answer:

0.9962

Step-by-step explanation:

The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.

Suppose X is a random variable that follows a normal distribution:

Then;

[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]

From the z tables;

P(X< 26) = 0.9962

Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.

Answer:

0.9962

Step-by-step explanation:

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

What proportion of average city temperatures are lower than that of Singapore?

Solution:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 20.66, σ = $2

For the average temperature of Singapore of 26°, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]

From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962

Bev writes three numbers on a piece of paper.

• The first number is even.

• The second number is odd.

• The third number is even.

Which set of numbers could Bey have written?

14, 18, 16

19, 12, 15

12, 17, 14

10, 15, 19

Answers

Question

Bev writes three numbers on a piece of paper.

The first number is even. The second number is odd. The third number is even.

Which set of numbers could Bey have written?

14, 18, 16

19, 12, 15

12, 17, 14

10, 15, 19

Answer:

12, 17, 14

Step-by-step explanation:

14, 18, 16  = 14(even), 18(even), 16(even) = cannot be the correct answer

19, 12, 15  = 19(odd), 12(even), 15(odd) = cannot be the correct answer

12, 17, 14  = 12(even), 17(odd), 14(even) = is the correct answer

10, 15, 19  = 10(even), 15(odd), 19(odd) = cannot be the correct answer

A lab technician draws a sample of blood. A cubic millimeter of the blood contains 22^3 (the 3 is an exponent) white blood cells and 22^5 (the 5 is an exponent) red blood cells. What is the ratio of white blood cells to red blood cells?

Answers

Answer:

484 : 1

Step-by-step explanation:

We can write white blood cells to:

22^5 = 22 × 22 × 22 × 22 × 22

We can write red blood cells to:

22³ = 22 × 22 × 22

Thus, white : red equals

22 (5 times) : 22 (3 times)

22² : 22^0 = 484 : 1

I hope this helps you :)

The required ratio of white blood cells to red blood cells is 1:484.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
A cubic millimeter of blood contains 22³, white blood cells, and 22⁵ red blood cells.

The ratio of white to red blood cell is given as,
Ratio = 22³/22⁵
Ratio = 1 / 484

Thus, the required ratio of white blood cells to red blood cells is 1:484.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2


Find the values of x and y if

Answers

Answer:

see explanation

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, then

CA = NE , that is

4x + 3 = 11 ( subtract 3 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

----------------------------------------

AR = EW, that is

4y - 12 = 10 ( add 12 to both sides )

4y = 22 ( divide both sides by 4 )

y = 5.5

-------------------------------------------

NW = x + y = 2 + 5.5 = 7.5

CR = NW = 7.5

you have 5 items. how many combinations of two are possible and what equation do you use to find out

Answers

Answer:

okay so the first one can be any of teh five

teh second one is onyl 4 of them bc u've already used one

so we do : 4*5 which is 20

The area of a square is 108 ft2 Which of the following represents the length of one side? /

Answers

Answer:

9.684925e-7

Step-by-step explanation:

X+3y>-8 which order pair is the inequality
-6,0
-5,1
-16,2
-1,-2
0,-3

Answers

Answer:

(-6, 0)

(-5, 1)

(-1, -2)

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x + 3y > -8

(-6, 0) ?

(-5, 1) ?

(-16, 2) ?

(-1, -2) ?

(0, -3) ?

Step 2: Check 1

Substitute:                    -6 + 3(0) > -8Multiply:                        -6 > 8Check:                          -6 > 8 ? Yes

Step 3: Check 2

Substitute:                    -5 + 3(1) > -8Multiply:                        -5 + 3 > 8Add:                              -2 > -8Check:                          -2 > -8 ? Yes

Step 4: Check 3

Substitute:                    -16 + 3(2) > -8Multiply:                        -16 + 6 > -8Add:                              -10 > -8Check:                          -10 > -8 ? No

Step 5: Check 4

Substitute:                    -1 + 3(-2) > -8Multiply:                        -1 - 6 > -8Subtract:                       -7 > -8Check:                           -7 > -8 ? Yes

Step 6: Check 5

Substitute:                    0 + 3(-3) > -8Multiply:                        -9 > -8Check:                           -9 > -8 ? No
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