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

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 = ∅

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

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:

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

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.

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

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 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

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

∆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°

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 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.

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

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:

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:

will mark brainlist!!!!

Answers

The answer is the first option



:)

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

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 :)

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

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

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

с
6.5
D
2.6
ө
A
4.9
В

Answers

Answer:

i think

the answer is A. 4.9

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]

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.

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.

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.

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 )

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°

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