Caroline , Colin and Sarah Share some money , Caroline gets 1/10 of the money. Colin and Sarah Share the rest in the ratio 2:7 what proportion does Colin gets?

Answers

Answer 1

Answer:

1/5

Step-by-step explanation:

10/10-1/10=9/10=Colin and Sarah share

2x+7x=9x=Colin and Sarah share

9x=9/10

x=1/10

Colin=2x=2/10=1/5

Answer 2

The ratio shows how many times one value is contained in another value.

The proportion that Caroline gets is 1/10.

The proportion that Colin gets is 2/10.

The proportion that Sarah gets is 7/10.

So,

The proportion that Colin gets is 7/10 of the money.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Let the total amount of money be 1.

Caroline:

Share = 1/10 of the money

Remaining money:

= 1 - 1/10

= 9/10

Colin and Sarah:

Share = 2:7

Colin share = 2/9 x 9/10 = 2/10

Sarah share = 7/9 x 9/10 = 7/10

The proportion that Caroline gets is 1/10.

The proportion that Colin gets is 2/10.

The proportion that Sarah gets is 7/10.

Thus,

The proportion that Colin gets is 7/10 of the money.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ5


Related Questions

solve what is 1 4/5 x 5/6

Answers

Answer:

Step-by-step explanation:

1 4/5*5/6

3/2 or 1 1/2

if the expression (2y^a)^4 is equivalent to 16y^8, what is the value of a

Answers

Answer:

A = 2.

Step-by-step explanation:

When raising power to power and there is a base with a exponent and a coefficant, you need to know that the a exponent only belongs to the y. The 2 has a invisible 1 exponent. The new expression is now (2^1 y^a)^4 = 16y^8. Now it is time to solve it. 1x4 = 4 so it is (2^4 y^a) = 16y^8. 2^4 is also 2x2x2x2 which equals 16. Now for the a exponent, 8/4 =  ?. 2. The new expression is 16y^2 and a = 2.

Write and evaluate the expression. Then, select the correct answer.

ten times the sum of seven and a number;
evaluate when j = 1

A 2-column table with 5 rows. Column 1 is labeled Key Words with entries ten, times, the sum of, seven, a number. Column 2 is labeled Replace with entries 10, times, (+), 7, j.

10 × 7 + j; when j = 1, the value is 71
7(10 + j); when j = 1, the value is 77
10(7 – j); when j = 1, the value is 60
10(7 + j); when j = 1, the value is 80

Answers

Answer:

The correct option is:

10(7+j); when j=1, the value is 80.

Step-by-step explanation:

Let 'j' is the number

Ten times the sum of seven and a number means:

10(7 + j)

When j=1, the expression becomes

[tex]10(7+j) =10(7+1)[/tex]

              [tex]=10(8)[/tex]

              [tex]=80[/tex]

Hence, the value of the expression at j=1 is 80.

i.e.

10(7+j); when j=1, the value is 80.

Therefore, the 4th option is the correct answer.

Answer:

10(7 + j); when j = 1, the value is 80

Step-by-step explanation:

because i just did it

There are 24 hours in 1 day. If you sleep 30% percent of the day how many hours do you sleep

Answers

7.2 hours a day. You get this answer by dividing 24 by 10 because that is 10% which is 2.4, multiply this by three which equals 30% and the answer is 7.2

Step-by-step explanation:

30%of24

30÷100×24

7.2

x−4y=−4 Determine the x- and y-intercepts for the equation given in standard form. Give your answers as integers.

Answers

Answer:

For X is (x=4y−4) and for Y is (y= 1 /4 x+1)

Step-by-step explanation:

Let's solve for x.

x−4y=−4

Step 1: Add 4y to both sides.

x−4y+4y=−4+4y

x=4y−4

Answer:

x=4y−4

Let's solve for y.

x−4y=−4

Step 1: Add -x to both sides.

x−4y+−x=−4+−x

−4y=−x−4

Step 2: Divide both sides by -4.

−4y /−4  =  −x−4 /−4

y= 1 /4 x+1

Kiran and Clare live 28 miles away from each other along a rail trail Kiran walks at a speed of 3 miles per hour while Clare walks 4 miles per hour how long will it take the two friends to meet

Answers

Answer:

Step-by-step explanation:

Total distance between Kiran and Clare is 24 miles. They started walking at 8.00 am.

Speed of Kiran is 3 miles/hr and speed of Clare is 3.4 miles/hr.

So the relative speed of them is,

miles/hr

Both the speed are added as they moving in opposite direction.

We know that,

i.e  

Putting the values,

As they started at 8.00 am, so the time at which will meet will be,

Step-by-step explanation:

WHAT IS THE VALUE OF THIS EXPRESSION BELOW WHEN Z=3
3z-1?

Answers

Answer:

8

Step-by-step explanation:

3(3)-1

=9-1

=8

PLS GIVE BRAINLIEST

The answer is 8

Hope this helps!!
And if you need it written out, go to the dude up top lol ✌

jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back

Answers

Answer:

$1860

Step-by-step explanation:

12% of 1500 = 180

180 x 2 = 360

1500 + 360=1860

Answer

1680

Step-by-step explanation:

180 as simple interest         1680 as total amount to pay back

Helppp plzz!!

A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
F.) Not enough information.

Answers

Answer:

F. not enough information

Step-by-step explanation:

there are no markings as to the lengths and there is no way of knowing

hey help me pls:^
will give Yuh brainliest!!!!!​

Answers

Answer:

1) x+10

2) 1/2

Step-by-step explanation:

Answer:

1.

[tex]x + 10[/tex]

2. 1/2

The rodent control task force went into the woods one day and caught 200 rabbits and 18 squirrels. The next day they went into the woods and caught three fewer rabbits and two more squirrels than the day before. Each day they went into the woods and caught three fewer rabbits and two more squirrels than the day before. This continued through the day when they caught more squirrels than rabbits. Up through that day how many rabbits did they catch in all? I NEED HELP ASAP PLS!! WILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

6068 rabbits

Step-by-step explanation:

Given

[tex]Rabbits = 200[/tex]

[tex]Reduction = 3\ daily[/tex]

[tex]Squirrels = 18[/tex]

[tex]Increment = 2\ daily[/tex]

Required

Determine number of rabbits caught up till the day when they caught more squirrel.

Let the number of days be n

On any n day,

The number of rabbits they catch is:

[tex]Rabbit = 200 - 3n[/tex]

The minus symbol is used because there's a reduction in the numbers of Rabbit caught, each day.

The number of squirrel they catch is:

[tex]Squirrel = 18 + 2n[/tex]

The addition symbol is used because there's an increment in the numbers of Squirrel caught, each day

First, we need to solve for n

The expression when they catch more rabbits than squirrel is:

[tex]Squirrel > Rabbit[/tex]

Substitute values for Squirrel and Rabbit

[tex]18 + 2n > 200 - 3n[/tex]

To solve the above expression, we start by collecting like terms

[tex]2n + 3n > 200 - 18[/tex]

[tex]5n > 182[/tex]

Solve for n

[tex]n > \frac{182}{5}[/tex]

[tex]n > 36.4[/tex]

Days must be an integer. So, we have to round the above value.

[tex]n > 36[/tex]

The above expression shows that they caught more squirrel on a day greater than 36.

This day is 37.

i.e.

[tex]n = 37[/tex]

The reduction in the number of rabbits daily is an indication of Arithmetic progression.

So, to calculate the number of rabbits caught up till the day when they caught more squirrel, we make use of Sum of n terms of an AP using:

[tex]S_n = \frac{n}{2}(2a + (n-1)d)[/tex]

In this case:

[tex]n = 37[/tex]

a = Initial Number of rabbits;

[tex]a = 200[/tex]

d = the reduction (common difference)

[tex]d = -2[/tex]

Substitute these values in the given formula:

[tex]S_n = \frac{n}{2}(2a + (n-1)d)[/tex]

[tex]S_{37} = \frac{37}{2}(2 * 200 + (37 - 1) * -2)}[/tex]

[tex]S_{37} = \frac{37}{2}(2 * 200 + 36 * -2)}[/tex]

[tex]S_{37} = \frac{37}{2}(400 -72)}[/tex]

[tex]S_{37} = \frac{37}{2} * 328[/tex]

[tex]S_{37} = 37 * 164[/tex]

[tex]S_{37} = 6068[/tex]

Up till that day, the number of rabbits is 6068

Circle B has a radius of 7 and its center is located at (2,5).

Circle H has a radius of 13 and its center is located at (9,-4).

Circle B and circle H _______________ similar.


A. No answer text provided.

B. cannot be determined to be

C. are

D. are not

Answers

Answer:

C. Circle B and circle H are similar.

Step-by-step explanation:

From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.

In consequence, we conclude that correct answer is C.

Please help me answer 16 please

Answers

Answer:

SSS

Step-by-step explanation:

I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.

f(x)=3x-4 and g(x) = x2 find the value of f(3)-g(2)

show all work

Answers

Answer: 1

f(x) = 3x - 4 => f(3) = 3.3 - 4 = 9 - 4 = 5

g(x) = x² => g(2) = 2² = 4

=> f(3) - g(2) = 5 - 4 = 1

Step-by-step explanation:

i need help with this pleasee

Answers

Answer:2 2/15

Step-by-step explanation:

4/5= 12/15

+1 1/3 =5/15

1 and 17/15

17/15= 1 and 2/15 +1= 2 and 2/15

PLZ HELP ME ANSWER THIS!!!!

Answers

Answer: 4,5,-4,23

Step-by-step explanation:

Anchara drops a penny from a height of 60 feet above the ground. The equation h=-16t^2 + 60 models the penbys height h i feet as a function of time t in seconds whatvare the solutions

Answers

Answer:

t = 1.94 seconds

Step-by-step explanation:

we have to solve the following polynomial equation:

-16t² + 60 = 0

16t² = 60

t² = 60/16 = 3.75

t = √3.75 = 1.936491673 seconds

the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option

She dove 75 feet under the sea

Answers

Amazing, 75 ft under the sea, wow. Could never be me

This is the last giveaway for today!!
if you could be any movie character who would you be?

Answers

Answer:

I would be Channel #2 from scream queens

Step-by-step explanation:

Why just because she was the first one that came to mind :)

Answer:

Stitch from Lilo and Stitch ^^

Step-by-step explanation:

That movie always was a favorite of mine, also, so fluffy!

find the slope of the line passing through the points (-5,5) and (-5,-8)

Answers

Answer:

1

Step-by-step explanation:

5-8            -3

----------=

-5--8         -3

-3

-----= 1

-3

Hope this helps!

-8 - 5 = -13
_____ ___

-5 + 5 = 0

So there is no slope because it’s a vertical line. It stays on the x-axis since there was no change in x-values.

The equation would simply be x=-5, and there is no slope.

The equation for slope formula is
(y2-y1)/(x2-x1)

I hope this helped its a little confusing yes


Which is a possible leading term for the graph
shown?
2x^3 -2x^3 2x^4 -2x^4

Answers

Answer:First answer 2x^4. Second answer + and +

Step-by-step explanation:

Just did it on edge

Answer:

C

Step-by-step explanation:

I’m smart

What is the slope of this line?

Answers

Answer:

Slope = rise/run

          = 1/4

Answer:

Slope is 1/4, or .25

Step-by-step explanation:

If you use rise over run, you will find that the slope is 1/4.  

Say you take two points, (-4,5) and (8,8). Subtract 5 from 8, and you get 3. Then subtract -4 from 8, you get 12. 3/12 simplified is 1/4, thus your slope is 1/4.

Find the value of x that makes FGH~JKL

Answers

180 degrees it’s the answer

In triangle ABC, AB=5cm, AC = 10cm, and BC = 12 cm
Determine the size of the largest angle.​

Answers

Answer:

The largest angle is <B.

Because, AC is the longest and largest side of ∆ABC. Therefore, the angle opposite the largest side is also the largest.

This is a property in geometry.

Step-by-step explanation:

Please give me Brainlest!

help me on my math pwease

Answers

Answer:

Part a: C

Part b: 2x34

d=68

Step-by-step explanation:

plz help me thank you​

Answers

Answer:

Pauline needs 48 bags.

Step-by-step explanation:

You know that the field is 240 sq. ft. and that the density of the mulch is 6 pounds per sq. ft. Just multiply 240 by 6 to get the total weight of all the mulch, 1440 pounds. You also know each bag of mulch is 30 pounds. Divide 1440 by 30 to get 48 bags.

What is the equation of the line shown in the coordinate plane below?
Identify if the following relations are functions (yes or no)? Identify the domain and range for each.
{(-6, 5), (-4, 3), (-1, 0), (4, 3)}

Answers

Answer:

Step-by-step explanation:

domains:-6,-4,-1,4

Range:5,3,0,3

will you include the image of the line so i can answer the rest of the question?

What is the slope of the line represented by the equation y= -1/2x + 1/4?

Answers

Answer:

The slope of the line is -1/2

the slope is -1/2

y=mx+b

mx=slope

in your equation m= -1/2

Two rectangular boxes have the same volume. One box is a cube, and the other box has dimensions 8 ft by 4 ft by 16 ft. How many feet long is an edge of the cube?

Answers

Answer:

8 feet

Step-by-step explanation:

All you have to do is find the area of one box and find the root to find the cube edge, as it says they have the same volume.

Lets find the volume of the rectangular box.

8 x 4 x 16 =

32 x 16 =

512.

The volume of the cube is 512 feet cubed, but you are looking for the edge.

The edge cubed should be equal to 512 feet cubed.

So 512 cube root is 8, because 8 x 8 x 8 is 512.

8 feet.

Hope this helps!

Answer:

The answer to your question is 2744 ft³

Step-by-step explanation:

Data

length = 14 ft

width = 14 ft

height = 14 ft

- Volume of a Cube

Volume = length x width x height

-Substitution

Volume = 14 x 14 x 14

-Simplification

Volume = 2744 ft³

Conclusion

The volume of this cube is 2744 ft³

A farmer's market is selling peaches for $2.00 a pound. If you buy 2 pounds, you save 10% on each pound. How much does it cost to get 2 pounds of peaches?

Answers

Answer:3.6

0

Step-by-step explanation:

Because 10 percent of 1.00 is 0.10 and if you do 10 percent of 1.00 times two it is 20 percent of 2..00 which is 0.4

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