Six cousins inherited a total of 5/8 of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’s assets did each cousin inherit?

Answers

Answer 1
Answer:  5/48

============================================

Work Shown:

We'll divide the total 5/8 evenly among the 6 cousins.

(5/8) ÷ 6 = (5/8) ÷ (6/1)

(5/8) ÷ 6 = (5/8) * (1/6)

(5/8) ÷ 6 = (5*1)/(8*6)

(5/8) ÷ 6 = 5/48

Each cousin gets 5/48 of the aunt's assets.

So for instance, if the aunt had $48,000 in assets, then each cousin gets (5/48)*(48,000) = 5000 dollars.

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

An alternative approach:

Draw 6 rectangles side by side that represent the 6 cousins. Then divide each rectangle into 8 pieces, with 5 pieces shaded. The yellow pieces represent the amount given to the cousins. For any given rectangle, 5/8 of it is shaded yellow. Refer to the diagram below.

Overall we have 6*8 = 48 pieces.

The first cousin gets 5 yellow pieces out of 48 total. The same applies to the other five cousins. So this is a visual way to arrive at the answer 5/48.

Six Cousins Inherited A Total Of 5/8 Of Their Great Aunts Assets, Which They Divided Evenly. What Fraction

Related Questions

x + y = 10
y = ?
solution: (7, y)

Answers

Answer:

y=3

Step-by-step explanation:

Given: x+y=10

 solution is (7,y)

put x=7 in x+y=10

⇒7+y=10

⇒y=10-7

⇒y=3

Hence, the value of y is 7.

6th grade math

3m + 4m + 5 + 1 -7m

Answers

Answer:

6

Step-by-step explanation:

6 because 3+4=7 then 7+5=12 then 12+1 =13 and 13-7=6

(85N - 15) + (32N - 27)​

Answers

Answer:

117N - 42

Step-by-step explanation:

WHYD I THINK YOU WERE TALKING ABOUT COORDINATES AT FIRST

Answer: 117n - 42

Step-by-step explanation:

85n - 15 + 32n - 27

85n + 32n - 15 - 27

117n - 15 - 27

117n - 42

Alex has 3,330 toothpicks . He wants to use them all to make a floor mat with 18 equal rows . How many toothpicks should Alex use for each row ?​

Answers

Answer:

Step-by-step explanation:

for this problem we have to

3330/18=185 toothpicks for each row

Answer:

185

Step-by-step explanation:

Divide 3330 by 18.

3330 is the number of tooth pics he has, so divide by how many rows he needs, 18.


Answer the following questions using metric conversions.
13. One pack of Strawberry Poptarts has a mass of 104 g. What is the mass of 6 packs of Poptarts? How many kg is 6 packs of Poptarts? Explain your answer.

14. Will a tablecloth that is 155 cm long cover a table that is 1.6 m long? Explain.

15. Alex rode 2 kilometers on his bike. His sister rode 3000 meters on her bike. Who rode
the farthest and how much farther did they ride? (Answer in meters)

Answers

Answer:

Ok, here is the answers! brainliest pleaseee :D

Step-by-step explanation:

13. - 0.624 kg.   (Explanation: 104 grams per one pack of pop-tarts. 104 g x 6 packs of pop-tarts equal 624 grams in total. 624 grams to kilograms is 0.624 kg.)

14. - No. The tablecloth is 155 cm long. It needs to cover a table that is 1.6 meters long. 155 cm to meters is 1.55 meters. The tablecloth is 0.05 to short to cover the table. 1.6 meters - 1.55 meters = 0.005.

15 - Alex's sister rode the farthest. She rode 1,000 meters farther than Alex. 2 kilometers in meters is 2,000 meters. His sister rode 1,000 meters more than that, 3,000.

15 POINTS PLEASE HELP SOLVE AND EXPLAIN

Answers

Answer:

I and IV

Step-by-step explanation:

I is a graph with three inequalities, not a function.  IV is an algebraic equation, and again, not a function.  

Plzzzz give me Brainliest!!!!!  

what is 11.35 divided by 0.35?

Answers

Answer:

32.43 (rounded)

Step-by-step explanation:

Answer:

32.4285714

Step-by-step explanation:

11.35/0.35=32.4285714

This is the answer however if your question has asked to round it to two decimal places the answer would be 32.43

i hope this helps

Please help me with the questions

Answers

Step-by-step explanation:

.........................

Can someone please give me this answer.

Answers

Answer:32 inches

Step-by-step explanation:

Using the pythagorean theorem

40²= 24²+ b²

simplify

1600 = 576 + b²

subtract 576 from both sides

1024 = b²

square root both sides

32= b

4/5x + 7 =10 what's the value of x ​

Answers

The answer here is:
x=15/4

write the point-slope equation of the line that passes through(3,5) and (7,1)

Answers

Answer:   y - 1 = –(x –7)

or   y –5 = –1(x –3)

The attachment shows the graph of these equations (identical)

Step-by-step explanation:

The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate,  b is the y-value form the given coordinate,  m is the slope. x and y are the variables in the function.

To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."

Subtract the first coordinate from the second coordinate.

Given coordinate points: ​(3​,5) and ​(7​,1)    substitute values:

m= 1 –5 / 7 –3  becomes  m= –4/4   so the slope, m = –4/4

That is –1  The "1" is "understood," so only the negative sign represents the slope  in the equation

To write the equation:  Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.

y - b = m(x - a)  Using the second coordinate: (7,1)

y - 1 = –(x –7)

or using the first coordinate:

y –5 = –(x –3)

what is the 2/4 to the third

Answers

Answer:

3,125

Step-by-step explanation:

Answer:

8/64 or 1/8

Step-by-step explanation:

2/4 x 2/4 x 2/4 = 2x2x2 / 4x4x4 = 8/64 or 1/8 (both are equiavlent)

Grace scored 18 out of 22 on a grammar quiz and 60 out of 70 on a social studies test. Did she score a higher percentage on the grammar quiz or on the social studies test?

Answers

Answer:

18 divided by 22 is around 82

60 divided by 70 is around 86

Step-by-step explanation:

So the social studies test she scored higher

Social studies because 18/22 is approximately 82% and 60/70 is approximately 86%


[tex]f(x) = - \sqrt{x - 2} [/tex]
Domain- in interval notation
Range- in interval notation
x-intercept
x-intercept

Answers

Answer:

Domain: [0,infinity)

Range: (-infinity,-2]

No x-intercept

Y-intercept: (0,-2)

Step-by-step explanation:

The difference of two numbers is 16. The greater number is 5 less than 4 times the smaller
number. Find the two numbers.

Answers

Answer:

x= 23

y=7

Step-by-step explanation:

x-y=16

4y-5=x

4y-5-y=16

3y-5=16 add 5 to both sides

3y=21 divide by 3 on both sides

y=7

x-7=16 substitute back in

x=23 added 7 to both sides

so x=23 and y=7

23-7=16

Let x = smaller number
Let y = greater number
Then we have that y = 4x − 5y − x = 16
Replace the value of y in the second equation you get 4x − 5 − x = 16
3x − 5 = 16
3x = 21
x = 7

y = 23

Find equation of the line shown

Answers

Answer:

y = x + 6

Step-by-step explanation:

y = mx + b

Since (0,6) is your y-intercept (or just positive 6), you have your b part of the equation solved.

The line goes up at a continuous rate of up 1, over 1, so they cancel each other out, making the m part of your equation 1.

So, you have y = 1x + 6 and you change it to just y = x + 6 (since x itself automatically has a 1 before it, when it's by itself).

Hope this helps!

Find VX.

A. 3.0
B. 2.6
C. 6.1
D. 4.6

Answers

D I did this already

Answer:

B

Step-by-step explanation:

You have given angle x and the hypotenuse you are asked to find the adjacent side of the triangle so you would be using

Cosθ = Adjacent/hypotenuse.

cos49 = adjacent/4

1.32 = adjacent/4

2.62 = adjacent

VX = 2.6

Remember!

SOH

Sinθ = opposite/hypotenuse

CAH

Cosθ = adjacent/hypotenuse

TOA

Tanθ = opposite/adjacent

raise 6 to the 4th power, then find the difference of the result and p

Answers

Answer:

1296

Step-by-step explanation:

Find the measure of the exterior angle.

Answers

Answer:

120 degrees

Step-by-step explanation:

Because the triangle is a right triangle, it can be either a 45,45,90 triangle or a 30,60,90 triangle. I tested this problem with each scenerio, and I believe that it is a 30, 60, 90 triangle, with the top angle being 30 degrees, thus, making x=30. For the exterior angle, we'd multiply 4 by 30 to get 120 degrees.

I checked my answer by adding 120 to 60 (that's the degrees of the right hand corner of the triangle), which added to 180 degrees (aka a flat line), which verifies my answer.

I hope this helps! :)

Find the slope of the line that passes through (73, 73) and (7, -10).​

Answers

Answer:

M= 83/66

Step-by-step explanation:

The formula to solve the slope is y2-y1/x2-x1 so ,

-10-73= -83

7-73= -66

-83/-66= 83/66

19
Tom is building a new barn for all of his farm equipment.
He spend $35,000 in buying raw materials and $40,000 in labor and machinery to build the barn.
This total amount came out to be 20% less than what he had budgeted for the barn.
What was the amount he had budgeted for the barn?
Answer: $

Answers

Answer:

Build the barn : $35,000 + $40,000 = $75,000

Budgeted for the barn : $75,000 x 80%  = $60,000

Step-by-step explanation:

16−2t= 3/2t+9
need help asap this is my grade plz
kahn academy
plz help meee

Answers

Answer:

t=2

Step-by-step explanation:

I worked it out and got this answer as well but checked it in a calculator and couldn't send my pic in. I hope its right but if t is with 2 on the denominator then its a whole different answer.

I need help please please

Answers

Step-by-step explanation:

49 / 7 - 3.3

= 7 - 3.3

= 3.7

4² - 1 + 8 + 2²

= 16 - 1 + 8 + 4

= 27

Hope it will help you :)❤

I need help
4x-12y=-8 -3x+12y=12

Answers

Answer:x=4 y=2

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(4,2)

Equation Form:

x=4, y=2

[tex]-9x^{5}y^{2}[/tex] for x = -1, and y = 1/3

Answers

Step-by-step explanation:

I shall not tell u the answer I will frame the question in the simplest form

and after if still u can't understand then feel free to ask me

[tex] - 9 \times { - 1}^{5} \times { \frac{1}{3} }^{2} [/tex]

I hope it helps now

if you can't find the answer you can ask me

I will ALWAYS HELPS TO UNDERSTANDING YOUR ASSIGNMENTS

ENJOY YOUR DAY

#CAPTAINPOWER:)

put these decimals in order starting with the smallest
0.078
0.78
0.87
0.708

Answers

Answer: the answer is 0.078, 0. 708, 0.78, 0.87

Answer:

0.078 < 0.708 < 0.78 < 0.87

6 x 10^9 divide 3x10^4 = ____x10^?

Answers

Answer:

2 × 10⁵

Step-by-step explanation:

The following data were obtained from the question:

6×10⁹/ 3×10⁴ =?

The above expression can be simplified as follow:

6×10⁹/ 3×10⁴ = 6×10⁹ ÷ 3×10⁴

Recall:

Aᵐ ÷ Aⁿ = Aᵐ ¯ ⁿ

Therefore,

6×10⁹ ÷ 3×10⁴ = (6/3) × 10⁹ ¯ ⁴

6×10⁹ ÷ 3×10⁴ = 2 × 10⁵

Thus, 6×10⁹/ 3×10⁴ is equal to 2 × 10⁵

help pleaseee i’ll put you as brainliest

Answers

Answer:

Step-by-step explanation:

If a boat has the speed = 15 miles per hour

Let the speed of the river = v miles per hour

If the boat is moving down stream, that means boat is traveling with the stream of the river.

So the speed of the boat downstream = (15 + v) miles per hour

Since, speed of the river stream is added with the speed of the boat, it will reach the destination earlier than the expectation.

Carlos has $50 in his saving account. he deposits $100 on his birthday. Every month after his birthday, he deposits $25. which equation can be used to calculate the number of months it will take him to have $500?

Answers

Answer:

im not sure sorry..

Step-by-step explanation:

Answer:

so don't know the equation but it's 15 months. a year and 3 months.

Step-by-step explanation:

so first able, he already has 150 in his saving account. he adds 25$ every month after hai bday. a year has 12 months in which one of them is his birthday. so the rest 11 months he adds 25$. 25×11=275 then 150+275=425 so he needs 75 more dollars to have 500$ 25+25+25=75 so there fore we have 3 more months. so that means that a year and three months. sorry if you didn't understand I'm bad at explaining

5a+3s=42 whats the value of a

Answers

Answer: a = 8.4

Step-by-step explanation:

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