Caroline, Colin & Sarah share some money.

Caroline gets

1

9

of the money.

Colin and Sarah share the rest in the ratio 1:3.

What proportion does Colin get?

Answers

Answer 1

Caroline, Colin & Sarah share some money.Caroline will get [tex]\dfrac{2}{3}[/tex]  when Caroline, Colin & Sarah share some money.

What is the ratio?

The ratio defined as the sharing of the two or three things or it represent that one thing or number is how many times to the other.

One part is excluded in the problem. That part is:

"Caroline gets [tex]\dfrac{1}{9}[/tex] of the money."

If Caroline gets 1/9th, then remaining is:

[tex]1-\dfrac{1}{9}=\dfrac{8}{9}[/tex]

Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...

8/9th in 4 parts means, each part is:

[tex]\dfrac{\dfrac{8}{9}}{4}=\dfrac{2}{9}[/tex]

We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:

[tex]3\times \dfrac{2}{9}=\dfrac{6}{9}=\dfrac{2}{3}[/tex]

Colin gets  [tex]\dfrac{2}{3}[/tex] money when three of them share money.

To know more about Ratio follow

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Related Questions


PLEASE HELP?! IM SO CONFUSED!!

Answers

Answer:

C.

Step-by-step explanation:

-3 7/8 rounds down to -4

4.63 rounds up to 5

-4 x 6 + 5

-24 + 5

-19

her answer (-19.14) also rounds to -19

So yes, it is reasonable and the correct response is C.

Complete the table to show the area of each circle.

Answers

Answer: look at my work its 10 pi cm ^2

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Area of:

The large circle =  π r^2 = π * 10^2 = 100π

The small circle = π * 5^2 = 25π.

What is the area of a square if one side is 14 centimeters long?

Answers

Answer:

A=a2=142=196cm²

Answer: 196 cm²

hope this helps :)

Answer:

196cm²

Step-by-step explanation:

All of a square's sides are congruent which means if one side is 14cm then all the other sides have to be 14cm as well.

To find the area you multiply the length and the width (A=l*w)

l=14, w=14

14*14=196cm²

Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:

A histogram is shown with title Recycle Drive Collection. On the horizontal axis the title is Number of bottles. The title on the vertical axis is Students. The range on the horizontal axis is 0 to 3, 4 to 7, and 8 to 11. The values on the vertical axis are from 0 to 10 at intervals of 1. The bar for the first range is till 3, the bar for the second range is till 6, the bar for the third range is till 1.

Which information is not provided in the histogram?

The total number of students who collected bottles
The number of students who collected exactly 9 bottles
The number of students who collected 3 or fewer bottles
The total number of students who collected 7 or fewer bottles


*will Mark Brainliest*

Answers

Answer:

I'm very sure it is B. The number of students who collected exactly 9 bottles.

Step-by-step explanation:

A is wrong because it does show the total amount of students.

C is wrong because it does show the amount of students that collected 3 or fewer bottles.

D is wrong because it does show the total number of students who collected 7 or fewer bottles.

So, B would be the only correct answers. Hope I helped!! Pls mark brainliest if I did help.

Answer:

The answer your looking for would be B. "The number of students who collected exactly 9 bottles"

Step-by-step explanation:

I took the FLVS test.

Your hair is growing at 1 inch per month. You got your hair cut to 4 inches in length. Write and equation that gives the length of the hair, y, in terms of the months since your haircut, x

Answers

Answer:

Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.

Step-by-step explanation:

Solve the following equation: 3t = 21

Answers

t is 7

3(7)=21

hope this helps

3t=21

[tex]t = \frac{21}{3} \\ t = \frac{ \cancel{{21}}{{}^{\:\:\:7}}}{\cancel3} \\ t = 7 \: \: answer[/tex]

A circle has radius 9.5 cm. Find the length of the arc intercepted by a central angle with measure 120°​

Answers

Answer:

Step-by-step explanation:

Discussion

If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.

Formula

Arc Length = (120/360) * 2 * pi * r      Substitute values into this equation.

Givens

Central angle = 120

r = 9.5

Solution

Arc Length = (120/360) * 2 * 3.14 * 9.5

Arc Length = (0.333) * 2 * 3.14 * 9.5

Arc Length = 19.87 cm

Which of the following describes how to calculate net pay? Subtract the total deductions from the net pay. Subtract the total deductions from the net pay. Subtract the total deductions from the gross pay. Subtract the total deductions from the gross pay. Add the total deductions to the gross pay. Add the total deductions to the gross pay. Subtract the total deductions from the take-home pay.

Answers

Answer:

  (b)  Subtract the total deductions from the gross pay

Step-by-step explanation:

The term "net pay" is applied to the pay after deductions are subtracted. It is also called "take-home pay."

The pay computed based on earnings, commissions, credits, and bonuses, before any deductions, is called the "gross pay."

  net pay = gross pay - deductions

Net pay is calculated by subtracting total deductions from gross pay.

Next → Post Test: The Pythagorean Theorem and Volume
1
Select the correct answer from each drop-down menu.
50⁰
Z
45⁰
529

Answers

X= 95°
Y= 133°
Z= 128°

Find the solution(s) to the system of equations represented in the graph? A circle with a line intersection at (-2,0) and (0,2)

Answers

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

What is the value of 0.8–0.6? Write your answer as a fraction in lowest terms

Answers

Given expression:

[tex]0.8 - 0.6[/tex]

To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.

   [tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]

   [tex]\implies \dfrac{[8 - 6]}{10}[/tex]

   [tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]

When 2/10 is simplified in lowest terms, we get;

   [tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]

Therefore, 0.8 - 0.6 in fraction form is 1/5.

help please !!!!!!!!!!

Answers

Answer:

it is -3

Step-by-step explanation:

go to x=-4 and see what the y value of the line is

Answer:

1

Step-by-step explanation:

Find the equation of the line. Start with the y-intercept, which is -1. Next find the slope by doing rise/run. To get from (0, -1) to (2, 0) you rise 1 and run 2, so the slope is 1/2.

The equation is y= 1/2x -1.

Plugin 4 for x and solve for y.

y = 1/2(4) -1

y = 2 - 1

y = 1

what is the negation of x is greater than
39

Answers

Step-by-step explanation:

that means the opposite ...

the opposite of

x > 39

is

x <= 39

Factor completely.
5x² - 20x + 20 =

Answers

Answer:

[tex]5(x-2)^2[/tex]

Step-by-step explanation:

[tex]5x^2-20x+20\\=5(x^2-4x+4)\\=5(x-2)(x-2)\\=5(x-2)^2[/tex]

find the volume of this figure. round your answer to the nearest hundredth. if necessary

radius=8m
height=12m
#3

Answers

V=πr^2 h/3
Replace the given values in place of the expression

Victoria wants to purchase a tablet. She has $130 to spend. She finds one that regularly sells for $139.99 and is on sale of 15% off. Sales tax is 7%. How much will Victoria pay for the tablet? Show your work and record your answer in the red box.

Answers

Answer:

$127.32

Step-by-step explanation:

Selling price= $139.99

Sale discount= 15% = $139.99 * 0.15 = $21

Discounted price= $139.99 - $21 = $118.99

Sales tax added= 7% = $118.99 * 0.07 = $8.33

Victoria has to pay = $118.99 + $8.33 = $127.32 so she has enough money to buy it with $2.68 left

What is the domain of the function graphed below?
O(-2, ∞) O(-3,4] and [7, ∞). O(-∞,4). O [-2,0] and (7, ∞)

Answers

Using it's concept, it is found that the domain of the function graphed below is given by:

[tex](-2,4][/tex] and [tex][7, \infty)[/tex].

What is the domain of a function?

It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.

In this problem, x assumes values greater than -2 and less or equal than 4, and then values of 7 or greater, hence the domain is given by:

[tex](-2,4][/tex] and [tex][7, \infty)[/tex].

More can be learned about the domain of a function at https://brainly.com/question/10891721

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I will give brainliest and 40 points, please help

Answers

2. 1/20, 5%, 0.05
3. 1/5, 20%, 0.2
4. 1/2, 50%, 0.5

pls help plssssss thank you 20 points

Answers

Answer:

7x - 10 < 11

Step-by-step explanation:

B


a. Lily paid $6 for 3/8 lb of nuts.
What is the unit rate as complex fraction (simplify)

Answers

Answer:

Ib = $16 per lb

Step-by-step explanation:

In triangle HJK shown above what is the measure of ∠J in degrees

Answers

Angles in a triangle adds up to 180

180 - (25.5 +120.2) = 34.3

So, missing angle is 34.3 degrees

Hope this helps!

15. Chris can run at a constant speed of 12 km/h. How long will it take him to run from
his home to the park, a distance of 0.8 km?
Remember to check that your answer is reasonable.

Answers

Answer:

Step-by-step explanation

1= 12

.8 of 1 = 48

so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour

Billy purchased $100$ shirts at a cost of $\$15$ each and planned to resell them. The first week he sold some of them for $\$25$ each. The second week he sold the rest for $\$20$ each. If his total profit was $\$600$, how many shirts did he sell the first week?

Answers

Answer:

Let the number of shirts he sold the first week = x    and the number sold the second week = 100 - x

So we have      

[Sales] - [Cost] = Profit

[25x + 20(100 - x)] - [15 * 100]  = 600     simplify

25x + 2000 - 20x - 1500 = 600

5x + 500  = 600      subtract 500 from both sides

5x = 100          divide both sides by 5

x = 20 =   the number of shirts sold the first week

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Let x = number of shirts sold in Week 1

Let y = number of shirts sold in Week 2

Profit = Selling price - cost price

If Billy purchased the shirts at a cost of $15 each, then

Week 1:  Profit per shirt = $25 - $15 = $10Week 2:  Profit per shirt = $20 - $15 = $5

Equation 1

Total of 100 shirts purchased:

⇒ x + y = 100

Equation 2

Total profit of $600:

⇒ 10x + 5y = 600

Rewrite Equation 1 to make y the subject:

⇒ y = 100 - x

Substitute this into Equation 2 and solve for x:

⇒ 10x + 5(100 - x) = 600

⇒ 10x + 500 - 5x = 600

⇒ 10x - 5x + 500 = 600

⇒ 5x + 500 = 600

⇒ 5x = 600 - 500

⇒ 5x = 100

⇒ x = 100 ÷ 5

⇒ x = 20

Therefore, Billy sold 20 shirts in his first week.

Can someone actually HELP me

Answers

Answer:

See below

Step-by-step explanation:

This is two parallel lines crossed by a TRANSVERSAL forming angles 1 - 8 , which are ALL transversal angles .

Angle 2 = angle 6 = angle 4 = angle 8   (congruent)

Angle 1   and  angle 3  and angle 5  and angle 7 are also all equal

A 'straight angle' is a straight line and has a measure of 180 degrees

    look at  angle   1    and angle  2   ....they add up to a straight line = 180 degrees      or angle 1  and angle 6      angle 1 and angle 4    each add to 180 degrees

Any angle in the underlined list above added to any angle in the bold list from above  add to 180 degrees ....

Answer + Step-by-step explanation:

Angles 2 and 6 are transversal and congruent . (True) (Reason : Corresponding angles)

Angles 1 and 7 are transversal and congruent .  (True) (Reason : Alternate Exterior Angles)

Angles 4 and 6 are transversal and congruent .  (True) (Reason : Alternate Interior Angles)

Angles 5 and 7 are transversal and congruent .  (True) (Reason : vertically opposite Angles)

What degree is a straight angle ?  (180 degrees)

What would angles 1 and 6 add up to ?  (180 degrees)

What would angles 8 and 3 add up to ? (180 degrees)

………………………………………………………………………………………

Angles W and Z add up to ?  (180 degrees)

The sum of the 3 angles in a triangle (180 degrees)

Angle Z equals what measure ? (180 - (60+45) = 180 - 105 = 75 degrees)

Angle W equals what (180 - Z = 180 - 75 = 105 degrees)

solve for y

y/2 = x

thank you

Answers

Answer:

[tex] \frac{y}{2} = x \\ \\ y = 2x[/tex]

H
3.
6x
++
For this rectangle, find x.
15
180
90
6
k

Answers

Answer:

x =15

Step-by-step explanation:

its a rectangle all interior angles must be equal to 90 so 6x=90

divide by 6 to get x on its own and you get 15

2 times a number is 62 less than 284 , find the number

Answers

Answer:

The number is 111

Step-by-step explanation:

284-62= 222

2x111=284

Answer:

x = 111.

Step-by-step explanation:

Based on the given conditions, formulate: 2 * x = 284 - 62 Calculate the sum or difference:2 x = 222

The question is attached.

Answers

Answer:

B

Step-by-step explanation:

1/8 + 1/8 + 1/8 + 2/8 + 5/8 = 10/8 (The total amount of oj in each jug.)

(10/8)/5 = 2/8 (5 for the amount of jugs.)

2/8 = 1/4

Which equation represents the line that passes through the point (4, -5) and is
perpendicular to the line x + 2y = 5?
А
x - 2y = -14
B
x + 2y = -6
C 2x + y = 3
D
2x - y = 13

Answers

Answer:

D. 2x - y = 13

Step-by-step explanation:

We are given the line x + 2y =5

We want to find the equation that is perpendicular to this line, and that also passes through (4, -5)

Perpendicular lines have slopes that multiply to -1

First, let's find the slope of the line

The line is currently in standard form (ax+by=c), which doesn't show the slope; we can convert this line into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do that, we will need to solve the equation for y

Here it is:

x + 2y = 5

Subtract x from both sides

2y = -x + 5

Divide both sides by 2

y = -1/2x + 5/2

The slope of the line is -1/2

Now, to find the slope of the line perpendicular to it, use this equation:

-1/2m = -1

Multiply both sides by -2

m = 2

The slope of the line perpendicular to it is 2

Here is the equation of the line so far in slope-intercept form

y = 2x + b

We need to find b

As the equation passes through the point (4, -5), we can use it to help solve for b.

Substitute 4 as x and -5 as y.

-5 = 2(4) + b

Multiply

-5 = 8 + b

Subtract 8 from both sides

-13 = b

This is our line:

y = 2x - 13

Even though this is in slope-intercept form, all of the options in your question are in standard form. Ergo, we must convert the line into standard form.

To do this, we can subtract 2x from both sides, as in standard form, x and y are on the same side

-2x + y = -13

Now multiply both sides by -1

2x - y = 13

This makes the answer D.

I need help please I’m confused

Answers

Answer:

the answer is bottom left trust

Answer:

bottom left is the answer

Step-by-step explanation:

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