Jack bought 24 apples at the farm stand. He divided the apples between his brother, his friend, and himself in a ratio of 2:1:3. How many apples did each person receive?

Answers

Answer 1

Answer: 8,4, and 12

Step-by-step explanation:

Given

Jack bought 24 apples and divided them in the ratio of 2:1:3.

Suppose they get the number of apples as [tex]2x,x,3x[/tex] such that their ratio remains the same

[tex]\therefore 2x+x+3x=24\\\Rightarrow 6x=24\\\Rightarrow x=4[/tex]

So, each person gets

[tex]2x=2\times 4=8\\x=4\\3x=3\times 4=12[/tex]

Answer 2

Answer:

Jack's brother received 8 apples, his friend received 4 and Jack received 12 apples.


Related Questions

Plz help me with this! :)

Answers

Answer:

vertex = (3, 1 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is calculate as

x = - [tex]\frac{b}{2a}[/tex]

y = x² - 6x + 10 ← is in standard form

with a = 1, b = - 6 , then

x = - [tex]\frac{-6}{2}[/tex] = 3

Substitute x = 3 into the equation for corresponding y- coordinate

y = 3² - 6(3) + 10 = 9 - 18 + 10 = 1

vertex = (3, 1 )

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!! NO RANDOM LINKS.

Answers

Answer:

B, C, D

Step-by-step explanation:

9x4=36 Yes

12x3=36 Yes

6x6=36 Yes

9x9=81 No

8x4=32 No

show work

Simplify this expression by combining the like terms

7y + 10 + 3y - 4 - 6y

Answers

In this problem “like terms” has two groups: one with a number and y, and one with just numbers. First I’ll rewrite the equation with the terms in a different order, grouped with like terms. Then we’ll do the math for them:

7y + 10 + 3y - 4 - 6y

= 7y + 3y - 6y + 10 - 4

= 10y - 6y + 6

= 4y + 6

Let me know if you have questions on this.

Help me out! I need this!!!! Brainliest answer and 15 points!

Answers

Answer: Second option (-2.8, -2.6)

Step-by-step explanation:

The solution to both equations would be the intersection of the lines.

Answer:

b

Step-by-step explanation:

A car used 1/ 64 of a gallon of gas to drive 1 4of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?

Answers

Answer: 16 miles

Step-by-step explanation:

The car used 1/64 gallons to travel 1/4 miles. To find out how many miles the car can travel using 1 gallon, use direct proportion:

1/64 gallons            :              1/4 miles

1 gallon                   :                  x miles

Cross multiply:

1/64x = 1/4

x = 1/4 ÷ 1/64

= 1/4 * 64/1

= 16 miles

On one gallon of gas, the car can travel 16 miles.

Which number sentence is always true? Select all that apply.

negative + negative = negative

positive - negative = negative

negative + positive = positive

.positive - positive = positive

positive + positive = positive


.negative - positive = negative

Answers

1. false
2. true
3. false
4. true
5.true
6.true

Three statements that always hold true are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

What are some concepts related to arithmetic operations of odd and even numbers?

Odd + Odd = Even.

Odd + Even = Even + Odd = )dd.

Even + Even = Even.

Odd × Odd = Even.

Even × Even = Even.

Odd × Even = Even × Odd = Odd.

Odd ÷ Odd = Even.

Even ÷ Odd = Even Or Odd.

Odd ÷ Even = Fraction/Decimal.

The true statement about positive and negative numbers are,

negative + negative = negative.

positive + positive = positive.

negative - positive = negative.

learn more about negative and positive numbers here :

https://brainly.com/question/17865861

#SPJ2

∆ABC is isosceles with legs AB and AC. If AC = 6 cm, and the perimeter is 15 cm, calculate m∠B.

Answers

Answer:

m∠B = 75.5°

Step-by-step explanation:

Since AC = 6, then AB = 6 and BC = 15-6-6 = 3

The altitude from A bisects side BC.  Let the point of intersection of the altitude and BC be point D.  Then BD = 1.5

Cos B = 1.5/6

m∠B = arcccos (1.5/6)

m∠B = 75.5°

ILL MARK BRAINIEST IF YOU CAN DO THE RIGHT!!!

Answers

Answer:

5/2

Step-by-step explanation:

We first find the equation of the line. The slope-intercept form of a line is y = mx + b, where b is the y-intercept and m is the slope. We already know the y-intercept, which is (0,5). Therefore, our current equation is:

y = mx + 5.

We use (0,5) and (1,3) to find the slope. We subtract the two y-coordinates, 5 - 3 = 2. We subtract the x-coordinates, 0 - 1 = - 1. The slope is given as rise/run, which is (y-coordinate difference)/(x-coordinate difference. Thus, the slope is 2/-1, which is just -2. Now, we put -2 in place of m:

y = -2x + 5.

The x-intercept is when the y-coordinate is equal to 0. So we substitute 0 for y:

0 = -2x + 5

-5 = -2x

x = 5/2

please help me!!!! i’m so bad a mathhhh

Answers

Answer:

22x^2+21x+10

brainliest?

Step-by-step explanation:

Answer:

The 4the bubble

Step-by-step explanation:

It is pretty much combining like terms. 22x² is alone since there is no other variable that has an x², so it will be left alone. However, there is 14x and -7x, they both have an x, so that makes them like terms. Combine those and you get 14x minus 7x which is 7x. The number 10 has no other like term to combine with so it can be left alone as well, so just put them all together in the end (simplify). Which would be 22x² + 7x + 10

please help me on it

Answers

Answer:

36 m

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

27 = b

45 = c

So let's solve

a² + 27² = 45²

a² + 729 = 2025

a² = 1296

√1296 = a

= 36

units = m

36 units

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Determine which statements are reasonable conclusions based on the data.
Choose Yes or No for each statement.
a. The point at (19, 14) is an outlier because it is outside the main cluster of data.
b. As the number of hits increases, the number of runs scored tends to decrease.
There is a positive linear association between the number of hits and the
number of runs scored.
d. There is a non-linear association between the number of hits and the
number of runs scored.
The point at (7, 13) is an outlier because it is the only game for which the
number of runs is greater than the number of hits.
f. If the trend continues, for a game when Tyler's team gets 20 hits, the number
of runs scored will most likely be greater than 10.
Yes No
Yes No
Yes No
curriculum Associates, 11.0
Coming permitted for classroom se
Grade Lesson 28 Scatter Plots
2

Answers

Answer:

no yes no

Step-by-step explanation:

please help me find x.

Answers

Answer:

81°

Step-by-step explanation:

x + 99 = 180

x = 180 - 99

x = 81

Answer:

x = 81°

Step-by-step explanation:

The two angles shown add up to 180° because they are supplementary because they forma straight line. So, we can write an equation to model the situation:

x° + 99° = 180°

x = 81°

In a survey, 150 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The results are summarized in the table below. ​

Answers

(a) 28%

(b) 24%

When calculating the total amount of people it come out to 150.

According to the table 42 people smoke. 42/150 is 28%

According to the table 36 people exercise regularly. 36/150 is 24%

A five-digit integer will be chosen at random from all possible positive five-digit integers. What is the probability that the number's units digit will be less than 5? Express your answer as a common fraction.

Answers

5/5 is including all the numbers but without 5 ,probably 4/5 I’m not sure about digits

Answer:

1/2

Step-by-step explanation:

there are 10 possible digits, 0, 1, 2, ... 9

only 5 are under five, which are 0, 1, 2, 3, and 4.

so it's 5/10, or 1/2

2x – 5x + 16 = –3(x – 6)

Answers

Answer:

0

Step-by-step explanation:

2x – 5x + 16 = –3(x – 6)

2x - 5x + 16 = -3x + 18

-3x + 16 = -3x + 18

0x = 1

x = 0

Answer:

x = ∅

Step-by-step explanation:

2x - 5x + 16 = - 3 (x - 6)

combine like terms

- 3x + 16 = - 3 (x - 6)

distribute

- 3x + 16 = - 3x + 18

subtract 3x from both sides

16 = 18

The equation is false and so x = ∅

A rectangle has a perimeter of 46 meters and a base of 8 meters. What is the height?​

Answers

Answer:

15 metres

Step-by-step explanation:

perimeter of rectangle = 2(base + height)

=2(8+h) = 46

= 16 + 2h = 46

= 2h = 46 - 16

= 2h = 30

= h = 15

15 metres is the height of rectangle

will mark brainlist!!!!

Answers

The answer is the first option



:)

Find x
(Secant tangent angles)
Helppp

Answers

Answer:

x = 35

Step-by-step explanation:

The secant- secant angle x is half the difference of the intercepted arcs

The 4 arcs in the circle sum to 360° then

PQ = 360 - (104 + 104 + 111) = 360 - 319 = 41 , then

x = [tex]\frac{1}{2}[/tex] (RS - PQ) = [tex]\frac{1}{2}[/tex] (111 - 41) = 0.5 × 70 = 35

Which number line shows the solution to 1/4x + 1 <5?

Answers

First one I think from the top

Answer:

Choice 3

Step-by-step explanation:

Solve the inequality for x:

[tex]\frac{1}{4}[/tex]x+1<5

subtract 1 on both sides

[tex]\frac{1}{4}[/tex]x<4

multiply by 4 on both sides

x<16

Choice 3 shows all the numbers that are less than 16, so that is the answer.

help pls!!!! no links pls and thank you sm!!!

Answers

Answer:

after 10 months farm a and b have the same amount of animals

Step-by-step explanation:

hope this helps :)

Ted ate 3 pieces of the pizza. what is the area of the remaining pizza if the diameter of the pizza is 18 inches?


A. 95.4 square inches

B. 381.7 square inches

C. 159.0 square inches

D. 636.2 square inches.

Answers

Answer:

C. 159.0 square inches

Step-by-step explanation:

Given that

Ted ate 3 pieces of the pizza

We need to find out the area of the remaining pizza in the case when the pizza diameter is 18 inches

Since the large circular pizza is divided into 8 equal slices

Now the radius of a pizza is

= 18 ÷ 2

= 9 inches

Now the angle subtended by each pizza is

= 360 degrees ÷ 9 inches

= 45 degrees

Now the area of the each pizza is

= [tex]\theta[/tex] ÷ 360 × πr^2

= 45 ÷ 360 × 3.14 × 9^2

= 31.7925

Now the area of the remaining pizza is

= 5 × 31.7925

= 158.9625

= 159 square inches

If A is the reference angle, which side is the opposite?
AB
BC
AC
Explain your thinking.


Answers

Answer:

BC

Step-by-step explanation:

it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle

The perimeter of an inceles triangle is 21 meters. The length of one
sade is 3 meters longer than the length of the other two sides. Find the
length of each side

Answers

Answer:

The sides are 6, 6 and 9

Step-by-step explanation:

Isosoles triangles have two sides the same length, s

Here the third side is 3 meters longer (s + 3)

therefor the perimeter is

s + s + (s + 3) = 21

Combine like terms

3s + 3 = 21

Subtract 3 from both sides

3s = 18

Divide both sides by 3

s = 6

s + 3 = 9

The sides are 6, 6 and 9

help me with my math please

Answers

Answer:

You answer is B i believe. If it is not, then it is A. I know for sure it is not C or D.

Step-by-step explanation:

с
6.5
D
2.6
ө
A
4.9
В

Answers

Answer:

i think

the answer is A. 4.9

Please help me explain

Answers

Report this clown who put the first answer he’s trying to get your ip

*this is assuming I read her handwriting correctly

First, put the values in order from least to greatest.

2, 18, 3, 2, 9, 17, 41, 22, 25, 27, 17, 5, 4 becomes

2, 2, 3, 4, 5, 9, 17, 17, 18, 22, 25, 27, 41

The mean is the sum of all the values divided by the number of values.

2 + 2 + 3 + 4 + 5 + 9 + 17 + 17 + 18 + 22 + 25 + 27 + 41 = 192. 192/13 = 14.7692308, which rounds to 14.8

The median is the number in the middle, which is 17.

The mode is 2 AND 17, because those are the numbers that appear most often.

Range is the maximum value minus the minimum value. 41 - 2 = 39 so that is the range.

Upper quartile is the median of all the numbers to the right of 17. Median of 17, 18, 22, 25, 27, 41 is 23.5 because it is the mean of the 2 numbers in the middle.

Lower quartile is the median of all the numbers to the left of 17. Median of 2, 2, 2, 3, 4, 5, 9 is 3.5 because it is the mean of the 2 numbers in the middle.

Find the exact value of tan A in simplest radical form.

Answers

Answer:

tan A = √(3)/3

[tex]tan A=\frac{\sqrt{3} }{3}[/tex]

Explanation:

tan = opposite/adjacent

tan A = BC/AC

tan A = 5/√75

tan A = 5/√(25×3)

tan A = 5/5√3

tan A = 1/√3

tan A = 1/√3 × √3/√3 (rationalizing the denominator)

tan A = √(3)/3

[tex]tan A=\frac{\sqrt{3} }{3}[/tex]

Help please, I’m confused if someone could answer it and explain I’ll give brainliest because I’m SO confused.

Answers

Answer:

I think its the last one

Step-by-step explanation:

answer:
b. the graph g(x) is shifted seven units to the right of f(x)

step-by-step explanation:
i use desmos for these kinds of problems
the graph g(x) is shifted seven units to the right of f(x)
the vertex of g(x) is (7, -5) so there is only one correct answer

If BD and EG are parallel lines and mBCF = 50°, what is mEFH?
Look at this diagram:

Answers

It’s hard to tell due to no labels, but these are your angles due to the equal angles theorem and a few other theorems. Hopefully with this image you can hopefully find your answer. You may need to add angles together depending on what you are looking for. And possible even figure out what angle measure would make a (180 degree) triangle.
Hope this helped

Find the tenth term in each sequence 32, 42, 50, 58, 66

Answers

Answer:

106

Step-by-step explanation:

The pattern is +8.  66 is the last number given which is the 5th number. So we need to have five numbers. we can do 8*5=40 and add 40 to 66. Your answer is 106.

Other Questions
What is the difference between the pretrial process and the trial process in a criminal case?During pretrial, a judge determines probable cause. During the trial, a jury decides guilt or innocence.During pretrial, a judge decides guilt or innocence. During the trial, a jury determines probable cause.During pretrial, a judge selects a sentence. During the trial, a jury decides if a crime has been committed.During pretrial, a judge decides if a crime has been committed. During the trial, a jury selects a sentence.Someone seeking a firearms permit in Georgia would go to which court?juvenile courtsuperior courtstate courtprobate courtWhich behaviors are considered illegal for juveniles in Georgia?minor behavior and juvenile behaviorjuvenile behavior and unruly behaviorunruly behavior and delinquent behaviordelinquent behavior and minor behaviorAs a consequence of an unruly act, a juvenile would belegally charged as an adult.taken into custody and imprisoned.faced with a huge fine and time in prison.sent to a youth detention center.In a civil court case, the defendant is the person whogoes on trial for potentially committing a felony or misdemeanor.claims that a suspect has committed a felony or misdemeanor.has committed a tort that has wrongly harmed someone else.was wrongly harmed by someone who committed a tort.Mario and Ricky are hanging out together on a hot summer night. They are sitting around the pool at Rickys apartment complex playing cards. They are the only ones there. Mario suggests that they go swimming even though there is a sign posted that reads: NO LIFEGUARD, swimmers under 16 must be accompanied by an adult. POOL CLOSES AT 9:00 PM."But, my mom is not here and besides, it's 10:15 p.m. There is no one to watch us and the pool is closed," argued Ricky."Aw, come on Ricky! It is so hot! I know we're only 14, but we look like we're 16!" Mario pleaded. "Plus, if we are quiet, no one will even know we are swimming."If Ricky decides against Mario's idea, he isbreaking the law.obeying the law.disobeying the rules.obeying the rules.Read this passage about the workings of Supreme Court justices.The justices hold a conference to consider the arguments made and to reach a decision in each of the cases on their docket. At this point, one of the justices, in rotation, is assigned to write an opinion stating the court's reasoning in reaching its conclusion. This draft opinion is circulated to all members of the court and must be adopted as an accurate statement of the reasoning of the majority of the court before it is published. The comments of the other judges may cause a revision of the opinion before it becomes the court's official decision.What does the passage best show about the work of Supreme Court justices?The justices must be unanimous in their opinions.The justices work separately to reach an unbiased decision.The justices work together to come up with an opinion.The justices use an outdated method of reaching decisions.If juveniles cannot afford an attorney, how can they exercise their right to an attorney?The judge can act as their attorney.The court can loan them money for an attorney.The arresting officer can act as their attorney.The court can appoint an attorney.What options does a juvenile justice officer have after reviewing a case? Check all that apply.sentencing the juvenile to detentionrecommending that the case be dismissedfiling a petition for further hearingsrecommending informal adjustmentrecommending an appeals judgesending the juvenile to a diversion programJudges in Georgias state courts are elected by voters, while judges in Georgias juvenile courts arechosen by parents.chosen by a lottery.appointed by the governor.appointed by superior courts.What type of acts can change the juvenile justice process?justifiable delinquencyserious delinquent offensesunacceptable offensesunruly behaviorSome courts in Georgia have limited jurisdiction, meaning that they deal withthe least serious cases. the most serious cases.cases with no witnesses.cases involving one or two people.In a criminal court case, the defendant is the person whogoes on trial for potentially committing a felony or misdemeanor.claims that a suspect has committed a felony or misdemeanor.has committed a tort that has wrongly harmed someone else.was wrongly harmed by someone who committed a tort.Which of these rights are part of a juveniles right to trial? Check all that apply.the right to a trial before a judgethe right to appeal the judges decisionthe right to a jury trialthe right to call witnessesthe right to question the states witnessesWhich is a correct statement regarding settling disputes peacefully?One should ask an adult or friend to solve the dispute.Not everyones opinion or idea is valid in a dispute.Some disputes are just not very important.Disputes should be solved without outside help. A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer. I need help plssss help me out I mark you brainliest 1/3 times 1/4 a,1/12 b,1/16 c,1/7 or d, 1/2 A $146 tent was sold for 20% off. There was a sales tax of 4%. What was the discountamount, sales tax and final cost of the tent? D 75.4 cm224. What is the surface area of the given sphere?12 cmA 48 cm2B 1441 cmC 5767 cmD 23041 cm2 PRATIQUONS: USE THE CORRECT POSSESSIVE (MON/MA/ME...A (Je)1._______frre.(tu) 2. ________mre.(il) 3. _________soeur.(elle) 4. _______pre et ____ ____tante.B1.O est _____auto? _____auto...2.O sont ____livres? ____livres....3.O est ____vidocassette(t)? _____vidocassette....4.O est ____dictionnaire(m)?______dictionnaire....C.1. Vous avez ______livre...2. Nous avons crayons _____et _____cahiers.3. Marc cherche _____trousse, _____classeur et ______stylos.4. Ils aiment ______prof...5.J'aime ____cours d'histoire et _____camades... 3. Describe the difference between sexual and asexual reproduction. Give at least one example organism for each type. There are 84 rabbits in the garden. What is 84 rounded to the nearest 10? Consider p(x) = 3x^3+ax-5aThe polynomial p(x) leaves a remainder of -7 when divided by (x-a).Show that only one value of a satisfies the above condition and state its value. can someone please help? There are twice as many students on Mr. Sneed's team as on Mr. Johnson's team. Together, they want to raise 360$ to buy uniforms. According to the size of their team, how much money should each team raise? Show steps on brainly not on something else 50 point Find an equation of the line containing the points (1,4) and (3,18). Your assignment is to write an assembly language program which read a string and print it in uppercase. This program asks the user to enter a string which is subsequently displayed in uppercase. It is important to first ensure that string to be converted is in the a-z range. The program does not recognize any space, symbols or any kind of punctuation marks. Any time the user enters any of this character the program is going to repeatedly ask for the valid string.An example execution of your program could be:Please enter your string: 1winterInvalid Entry!Please enter your string: summerYour capitalized string:SUMMER Food of almost any kind can be tracked back to what The graph shows a vertical translation of y = x.What is the range of the translated function?54O {yly < 0}Oyly 20}bly is a natural number}O vyly is a real number}321.-10 -8 -6 -4 -2Ag10-2 About 35% of all U.S. households have a cellular phone. If you called 7 households what's the probability that, a. All 7 households have a cellular phone? a= b. Exactly 4 households have a cellular phone? b = c. Fewer than 2 households have a cell phone? c = d. At least 6 households have a cellular phone? d = e. At least 1 household has a cellular phone? e = Molly had a $10.00 gift certificate to download music. After buying 6 songs If 7 people equally share one pizza what fraction of the pizza will each person get. A.1/7 b.6/7 c.5/5 d.7/7 calculate the molar mass of hydrogen phosphate