Rachel, Neil, Caroline share an amount of money.
Rachel gets five time as much money as Neil gets.
Rachel get half as much money as Caroline gets.

what fraction of the amount of money does Rachel get?

Answers

Answer 1

The fraction of the money belonging to Rachel is [tex]\frac{5}{16}[/tex]

Let [tex]R[/tex] be the amount of money Rachel has

Let [tex]N[/tex] be the amount of money Neil has

Let [tex]C[/tex] be the amount of money Caroline has

Let [tex]M[/tex] be the total amount of money shared between the three people

Then, from the problem we have the following relationships

[tex]R+N+C=M\\\\5N=R \implies N=\frac{R}{5}\\\\\frac{C}{2}=R\implies C=2R[/tex]

Substituting the formulae for [tex]N[/tex] and [tex]C[/tex] into the sum [tex]R+N+C=M[/tex], we get

[tex]R+\frac{R}{5}+2R=M\\\\\frac{5R+R+10R}{5}=M\\\\\frac{16R}{5}=M\\R=\frac{5M}{16}[/tex]

Or, we can say that, [tex]R=\frac{5}{16}\text{ of }M[/tex]

Therefore, the fraction of money Rachel gets is [tex]\frac{5}{16}[/tex] of the total amount.

For an additional example of how to solve word problems that involve sharing money among people, see this answered question: https://brainly.com/question/23286685


Related Questions

Greg's garden shop sells oak tree saplings for 24.90 dollars. Employees receive a discount of 30 percent off the regular price. How much would an employee pay for an oak tree sapling?

Answers

Answer:

$17.43

Step-by-step explanation:

30% of 24.9 is 7.47, subtract 7.47 from 24.9 and you get 17.43

A number added to five cubed.
Write an equation

Answers

Answer:

x+5^3

Step-by-step explanation:

Let x be the number

cubed is raised to the third power

x+5^3

there are 30 men and 15 of them have facial hair how much percentage would that be​

Answers

If there are 30 men and 15 have facial hair then that’s half of them, and half=50%

An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 fruits were sold for a total of $2.10. How many apples were sold?

Answers

Answer:

6 apples

Step-by-step explanation:

A = 0.25

P = 0.15

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

A + P = 10

0.25A+0.15P=2.10

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

I did this: 0.25*10 = 2.50

2.50-2.10=.40

0.25-0.15=0.10

0.40/0.10 = 4 so 4 peaches

10 fruits - 4 peaches = 6 apples

HELPPPPPPPPPPPP Plsssssssss

Answers

Answer:

either A or D

Step-by-step explanation:

What is the value of x? If necessary leave your answer in the simplest radical form.

Answers

Answer:  32

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

How to draw on the graph
y=3x
y=x-6

I need it as soon as possible plz

Answers

Answer:

I believe the graphing should look like this.

Step-by-step explanation:

someone please help me with this question

Answers

Answer:

your answer would be 9

Step-by-step explanation:

please mark this as brainlists

Answer:

9

Step-by-step explanation:

Because you do subtract 3 on both sides then divide 5x by 5 and 45 by 5

I NEED HELP WITH QUESTION 2 ONLY (GIVING BRAINIEST) 50 points
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.

1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. ANSWER: 6 (incorrect solution)
Steps:
Calculation: 5(6 - 3) = 6 + 13
Multiplication: 5 x 3 = 19
Checking the equality: 15 + 19
So there for the solution is not 6

2. Simplify both sides. Show your work.

3. Is x = 6 a solution to the equation? Why or why not? ANSWER: 6 is not the solution
Solving for x:
5(x – 3) = x + 13
5x - 15 = x + 13
5x - x = 13 + 15
4x = 28
x = 28/4
x = 7

Answers

Answer:

5x-15=x+13

Step-by-step explanation:

I don't know which equation you want me to simplify, so I assume it is, 5(x – 3) = x + 13?

Ms. Apple is expanding her restaurant in Kenton, Oklahoma. She has enough
booths to seat up to 40 people. She is ordering tables for seating to fill the newly
added on space. Each table can seat up to 6 people, and she plans to seat up to 125
people in the dining area. Write an inequality that Ms. Apple can use to determine
the number of tables (1) that she needs to order. How many tables does she need
to order?

Answers

Answer:

She needs 16 tables because 40 divided by 6= 8 thne you would do the amout of people and the tables so you would do 125 divided by 8 and you would get 15.625 and if you round it you get 16

what is 5x486??????????????????????????

Answers

486
x 5
___
2430

the answer is 2430

Answer:

the answer is 2,430

Step-by-step explanation:

5×486=N

=2,430

multiply pi with 10,000
:>

Answers

Answer:

3.14 x 10,000 equals 31,400

Step-by-step explanation:

Answer:

31415.9

Step-by-step explanation:

yeah-ya............. right?

Jamya mixes 3 cups of soda with 5 cups of punch. How much does she mix with 18 cups of punch?

Answers

Answer:

Well we can make a proportion in this scenario

So 3 cups of soda to 5 cups of punch

And how much soda for 18 punch.

Well we can do this

make “x” the amount of soda

And then make a proportion

3/5 = x/ 18

Now solve

You can cross multiply

54=5x

x=10.8

10.8 soda

HURRY for Brainlist

The drama club is printing t-shirts for its 21 members. The printing company charges a certain amount for each shirt plus a setup fee of $40.

Write an equation to represent the total cost for printing the shirts.

Question 1 options:

C = 21 + 40t


C = 21t - 40


C = 21t + 40


C = 21t

Answers

For the question in the photo:
y = 2.50x + 7.50

Domains:
0, 2, 3, 4, 5, 6, 7, 8, 9, 10

As you can’t ride 0.2 or 0.7 of a ride, for example, and you only have time for ten rides. Plus you have enough money to ride ten rides

For the drama club one:

C = 21t + 40

Is the correct answer as 40 is a set value and is not influenced by the amount of club members there are, x is the amount per shirt, and C is the cost
Answer:

C = 21t + 40

Explanation:
Since the fee is 40 it’s +40 which in turn means doesn’t get affected by t hope this helps

I GIVE BRAINLIST ON ALL MY QUESTIONS !!

solve the system of equations using substitution

y= 2x + 4
2x - y =6

A) (2, 8)
B) (2, -8)
C) (10, 24)
D) no solution

Answers

Answer is D)

no solution

will give brain for right answer

Answers

Answer:

luna

Step-by-step explanation:

compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth

sin10°-cos10° product and evaluate​

Answers

[tex]\\ \sf\longmapsto sin10°-cos10°[/tex]

[tex]\\ \sf\longmapsto sin(90-10°)-cos10°[/tex]

sin(90-A)=cosA

[tex]\\ \sf\longmapsto cos10-cos10[/tex]

[tex]\\ \sf\longmapsto 0[/tex]

In which quadrant does the point (-4, -5) lie?

Answers

Answer:

Quadrant 3

Step-by-step explanation:

3rd quadrant. because both x and y are negative

84 = 4(1– 49)

please give an explanation

Answers

Answer:

give me more information on this

Find the value of each variable.
X=?

Answers

Answer:

x=3

Step-by-step explanation:

The equation is x² + 5x = 24, so 3² +15 would be the perfect match. This is because 9+15=24.

Can anyone give a step-by-step guide on how to answer these types of questions? I'm really struggling with similar shapes so thank you in advance.

Answers

Answer:

a) 8cm

b) 19.8cm

Step-by-step explanation:

The key to these types of questions is to keep proportions in mind.

To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.

The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.

CD = 4.8 * (10/6) = 8

CD = 8cm

For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.

AC = 4.5 * (10/6) = 7.5

AC = 7.5

But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.

7.5 - 4.5 = 3

So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.

4.8 + 4 + 8 + 3 = 19.8cm.

Hope this helps.

Answer:

a) CD = 8 cm

b) Perimeter of EBCD is 19.8 centimeters

Step-by-step explanation:

For this question, you can assume that ΔABE and ΔACD are similar. That's proven by BE ║ CD, but that's not directly relevant to the question so I won't explain it unless you would like me to.

In 2 similar triangles, all corresponding angles are congruent and all corresponding sides have the same scale factor.

For example, in ΔABC and ΔXYZ:

[tex]\frac{AB}{XY} =\frac{AC}{XZ} =\frac{BC}{YZ}[/tex]

Using those relationships, you can solve for any side in one triangle given the corresponding side in the other triangle.

A)

In the given triangles ΔABE and ΔACD, CD corresponds to BE, so:

[tex]\frac{CD}{BE} =\frac{AD}{AE}[/tex]

where AD is just 6 + 4 = 10.

[tex]\frac{CD}{4.8} =\frac{10}{6} \\\\\frac{CD}{4.8} =1.6667\\\\CD=8[/tex]

CD = 8cm

B)

Doing the same thing as above, now find the length of AC:

[tex]\frac{AC}{AB} =\frac{AD}{AE} \\\\\frac{AC}{4.5} =\frac{10}{6}\\\\\frac{AC}{4.5} =1.6667\\\\AC=7.5[/tex]

Now, to find BC:

[tex]BC=AC-AB\\BC=7.5-4.5\\BC=3[/tex]

Finally, add up the sides to find the perimeter of EBCD:

[tex]4.8+3+8+4\\19.8[/tex]

Perimeter of EBCD is 19.8 centimeters

In a certain year, 20% o RSM AMC 10 participants were invited to compete in American Invitational Mathematics Examination. How many RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME

Answers

Answer:

765 students

Step-by-step explanation:

x- total number of students

20% of x=153

20/100=153/x

20x=15300

x=765

Therefore, 765 students

The total number of RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME is, 765.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

According to the given information, 20% of RSM AMC 10 participants were invited to compete in AIME.

If 20% of students are 153 then 100% of RSM students participate in AMC10 is given as;

x be the total number of students

Therefore,

20% of x=153

20/100=153/x

20x=15300

x=765

Therefore, 765 students.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ3

Elliot purchased 3 trick cameras and 4 fake snakes and spent a total of $40. Kaci bought 7 trick cameras and 8 fake snakes, and her total was $85. Let x be the price of the trick cameras and let y be the price of the snakes.

Answers

It can be deduced that the price of the trick cameras will be $5 and the price of the snakes will be $6.25.

Based on the information given, the equation to solve the question will be:

3x + 4y = 40 ...... i

7x + 8y = 85 ...... ii

Multiply equation i by 7

Multiply equation ii by 3

21x + 28y = 280

21x + 24y = 255

Subtract the equations

4y = 25

y = 25/4 = 6.25

Since 3x + 4y = 40

3x + 4(6.25) = 40

3x + 25 = 40

3x = 40 - 25.

3x = 15

x = 15/3 = 5

Therefore, the price of the trick cameras will be $5 and the price of the snakes will be $6.25.

Read related link on:

https://brainly.com/question/25771535

Factorize the following Equation and show your work

x^{2} - 10x +25

Answers

Answer:

(x-5)(x-5)

Step-by-step explanation:

x^2 factors into two binomials, the square root of 25 is 5 (-5*-5=25), -5+-5=-10, think of the big and the little equal the middle to help deal with these types of problems. hope I have helped.

What is the slope of the line?​

Answers

Answer:

[tex]m=\frac{2}{3}[/tex]

Step-by-step explanation:

We can see that some of the points that are plotted we can tell what those plots are (-2, 0) (1, 2) (4, 4)

We use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]  for any of the two plots that are shown on the line

Answer:

2/3

Step-by-step explanation:

Write the equation of the line that passes through the points (9, 3) and (-7, -7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
a
line.

Answers

Answer:

y-3=5/8(x-9)

Step-by-step explanation:

First, we can find the slope using the slope formula : -7-3/-7-9 = -10/-16 = 5/8

Now we can just plug in a point into point slope form

y-3=5/8(x-9)

60 out of 300=?
I’m not sure how to figure that out

Answers

Answer:

60 / 300 simplified 6/30 simplified 1/5 (20%)

Step-by-step explanation:

Maybe asking ratio?

Please help me with this homework

Answers

Answer:

B) y=3x-2

Step-by-step explanation:

The y-intercept would be -2, as you can see on the graph. Also, the slope would be 3. Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Now you can plug in with numbers. y=3x-2.

Answer:

Is the answer you put correct? if not, i'll put it down underneath step-by-step.

If you're trying to find the y-intercept (its helpful), go to the 0  on the graph and try to find where the crosses (hint: y=-2). I think b is correct, either b or d. because y=-2 and those two only have 2 in them. Happy to help if i did!

You can give the other one brainliest

HelPpPpPpPpPpPpPpPpppppp

Answers

Answer:

Your answer is C y= (2)/(3)x+(3)/(2)

Francesca tried to evaluate an expression. Here is her work: 3(5)2–18÷3 = 3(25)–18÷3 = 75–18÷3 = 57÷3 = 19 Is Francesca's work correct?

Answers

Answer:

Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.

[tex]3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69[/tex]

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