A man left 1⁄2 of his property to his wife 1/3 of the remainder to his eldest
son and the rest to be divided equally among his five younger children,
each of whom got p60,000. How much did his wife get?

Answers

Answer 1

Answer: p800,000

Step-by-step explanation:

1/2         to wife

1/3         to eldest son, and

Rest(x)   to 5 youngest children

(1/2) + (1/3) + x = 1  [The sum of the shares will equal 1 estate]

(3/6) + (2/6) + x = 1

(5/6) + x = 1

x = (1/6); to be divided among the 5 youngest children

We find that each young child receives p60,000.  That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).

We can write:    (1/6)*(Estate) = p300,000

Estate = p1,800,000

The wife hauled in 1/2 of this, so she received p800,000.


Related Questions

Write the equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form.​

Answers

Answer:

Step-by-step explanation:

Given:

x1 = -1

x2 = 6

y1 = 2

y2 = 3

Solution:

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( 3 - 2 ) / ( 6 - -1 )

m = 1 / ( 6 + 1 )

m = 1/7

Then,

y - y1 = m ( x - x1 )

y - 2 = 1/7 ( x - -1)

y - 2 = 1/7 ( x + 1 )

y - 2 = 1/7x + 1/7

y = 1/7x + 1/7 + 2

y = 1/7x + 15/7

What is 98,765 - 9,876?

Answers

Answer:

88889

Step-by-step explanation:

This is because you do stacked subtraction to get final answer

Answer:

88,889

Step-by-step explanation:

98,765 - 9,876 = 88,889

A laptop has a listed price of $613.99 before tax. If the sales tax rate is 8.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$666.18

Step-by-step explanation:

613.99 x (1+(8.5/100)) = 666.17915 (rounded up to 666.18)

Shonda uses a $10 off coupon to purchase a purse at Chic Mart. At the register, she signs up for a credit card which gives her 20% off her total after the coupon. If Shonda’s total was $60.00, what was the original price of the purse?

Answers

Based on the coupon and the discount, we can calculate that the original price of the purse is $85.00

The 20% was applied after the coupon so the price after the coupon was:

= Total price / ( 1 - Discount)

= 60 / ( 1 - 20%)

= $75

The coupon was $10 so before it was attached it the price was:

= Price after coupon + coupon

= 75 + 10

= $85

In conclusion, the original price was $85.

Find out more on this at https://brainly.com/question/14413529.

please help me asap ty ty ty ty ty ty ty ty ty ty ty ty ty ty ty ty tyt ty ty

this is like the other question i just posted, but this one is subtraction instead of addition..

Answers

Answer:

y = x/2 + -3

Step-by-step explanation:

x - 2y = 6

Subtract x from both sides

-2y = -x + 6

Divide both sides by -2

y = x/2 + -3

Answer:

y = 1/2x - 3

Step-by-step explanation:

Subtract x both sides

-2y = 6 + (-x)

Divide -2 both sides

y = -3 + 1/2x

y = 1/2x - 3

Find the value of x.

Answers

Answer:

Step-by-step explanation:

The line which 3x represents is twice as big as the 48. That's because both sides other than the base are bisected.

3x = 2 * 48

3x = 96            Divide by 3

3x/3 = 96/3     Combine

x = 32

Please help me with thiss

Answers

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2

What is the measure of a third angle of this triangle

Please explain how to solve in a easy way

Answers

All triangles add up to 180 so it’s 20°

Can someone please help me, i don't understand this work.

Answers

Answer: Check out the diagram below for the filled out table

Equation is y = 1.5x

Box for row one = 330

Box for row two = 1000

Box for row three = 1.5

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

Explanation

x = amount of fish in grams (horizontal axis)y = number of calories (vertical axis)

The point (x,y) = (200,300) is on the blue diagonal line. It indicates that x = 200 grams of fish have y = 300 calories. Divide the two values to get the slope

slope = y/x = 300/200 = 1.5

This trick only works because the line is going through the origin. Otherwise, we'd have to use the slope formula.

The slope of 1.5 is the constant of proportionality. It tells us the equation is y = 1.5x. Whatever x is, multiply by 1.5 to get y.

So if x = 220, then y = 1.5x = 1.5*220 = 330

220 grams of fish have 330 calories. We'll write 330 in the box of the first row of the table.

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

We can use this idea in reverse. If we know the calorie count (y), then we can divide by 1.5 to get the number of grams (x).

y = 1.5x

1500 = 1.5x

1.5x = 1500

x = 1500/(1.5)

x = 1000

Therefore, 1000 grams of fish have 1500 calories. We'll write 1000 in the box of the second row.

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

The third row of the table is going to follow the same steps as the first row.

y = 1.5x

y = 1.5*1

y = 1.5

One gram of fish produces 1.5 calories

The filled out table is shown below. I've merged the two screenshots you posted into one image, and filled out the boxes.

If a dozen exercise books cost $144, what will 14 of the same books cost? *​

Answers

Answer:

$168

Step-by-step explanation:

1  dozen = 12

proportions

12 books ⇔ $144

14 books ⇔ $B

B = 144*14/12

B = $168

Is the following double number line drawn correctly? Use complete sentences to explain your reasoning.

Answers

The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.

What is a double number line?

A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.

For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.

Is the double number line correct?

This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:

0, 4, 8, 12 (multiples of 4), which means 3 does not match.

Learn more about sequences in: https://brainly.com/question/21961097

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Answer:The double number line is not correctly drawn because the second line shows numbers that do not follow a sequence.

What is a double number line?

A double number line is a type of graph that displays two lines each with numbers that follow a sequence. Moreover, it is expected the numbers in one line are equivalent to the numbers on the other line.

For example, the top line can show the weight in grams, while the bottom line shows the weight in kilos.

Is the double number line correct?

This double number line is not correct because the second line has numbers that do not a follow a sequence, the correct sequence would be:

0, 4, 8, 12 (multiples of 4), which means 3 does not match.

Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar because the angle to the sun is the same. Choose two equations that can be used to find the height, h, of the tree.

Answers

The two equations that can be used to find the height are as follows

12 / 4 = h  /5

5 / 4 = h  / 12

We have given that,

Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow.

What is the similar triangles?

Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of a similar triangle are a ratio to each other.

The tree casts a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,

h / 12 = 5 / 4

Therefore, h / 12 = 5 / 4

cross multiply

4h = 60

divide both sides by 4

h = 60 / 4

h = 15 ft

Therefore, the two equations that can be used to find the height are as follows

12 / 4 = h  /5

5 / 4 = h  / 12

To learn more about the triangle visit:

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Answer:

i am on ttm

Step-by-step explanation:

12/4=h/5

5/4=h/12

Let's find the unknown variables in the following cases. ) (a) If C.P. Rs 150 and profit = Rs 12, find profit percent​

Answers

Answer:

solution,                                                                                                                                     cp=Rs150                                                                                                                                        profit=Rs12                                                                                                                              Now,                                                                                                                                                   profit percent=profit% of cp                                                                                              or,profit percent=12/100 x Rs150                                                                                                Therefore,profit percent =18%

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

We know that

Profit% = Profit/CP × 100

=> 12/150 × 100

=> 12/15 × 10

=> 4/5 × 10

=> 8%

Somebody please help

Answers

m∠C = 31

m∠D = 83

M∠E = 66

Hope this is helpful!

I need help plz
ASA
SSA
SAS
AAS

Answers

Answer:

SAS,

Step-by-step explanation:

2 sides and the included angle.

How much will is cost for 10 pencils and one notebook

Notebook $1.25
Pencil $0.50
Binder $2.15
Pen $0.80

Answers

Answer:

$6.25

Step-by-step explanation:

10 pencils = $0.5 times 10 = $5

$5 plus $1.25 (price of the notebook) = $6.25

Help me with this please.......

Answers

Step-by-step explanation:

12 x + 124⁰ = 360⁰

12x = 236⁰

x = 19.67 Is your answer

Kathleen wants to plant a small vegetable garden in her yard. She fences off a rectangular area with a length of 25.75 feet and a width of 10.2 feet. What is the area of Kathleen's vegetable garden?

Answers

Answer:

A= L x W

A= 25.75 X 10.2

A= 262.65

Step-by-step explanation:

THE AREA OF KATHLEEN'S VEGETABLE GARDEN

15.21 x 0.72 can somebody help its an assignment

Answers

Answer:

10.9512

Step-by-step explanation:

Answer:

10.9512 (not sure if u have to round it)

Step-by-step explanation:

I didn't pay attention to day​

Answers

Answer:

%2.9

Step-by-step explanation:

Step-by-step explanation:

please complete your question

Can someone please take time out of their day and help me with this

Answers

Answer :
7 and 2
8 and 1

700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?

Plz. Helppp me what the answer???

Answers

700=100%
700/10=70
70=10%
70x2=140
140=20% :))

Solve this math problem. Correct answer gets brainliest.

Answers

Answer:

$28.50

Step-by-step explanation:

21 ÷ 14 = 1.5

19 · 1.5 = 28.50

Hope this helps!!

What is the domain of f(x) = (x + 2)2 – 1?

Answers

Simplify

[tex]\\ \tt\Rrightarrow f(x)=(x+2)^2-1[/tex]

[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+2-1[/tex]

[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+1[/tex]

The Domain is set of all real numbers

[tex]\\ \tt\Rrightarrow Domain\in R[/tex]

Please help me solve this problem ASAP

Answers

Answer:

28?

Step-by-step explanation:

4x=2x+56 (equal angles)

2x=56 (divide both sides by 2)

x=28 (angle)

Answer:

∠B = 112°

Step-by-step explanation:

1) ∠B and ∠D are congruent because they are alternate interior angles (same side interior) so they equal the same

2) Set the two expressions equal to each other:

2x+56 = 4x

56 = 2x

x=28

3) Plug 28 in for x in the expression (2x+56) and get 112°

Simplify the expression 4(2x−8y) + 3y

Answers

Answer:

8x-29y Sorry if wrong!

Step-by-step explanation:

You have to distribute first and then combine like terms.

Answer:

8x-29y

Step-by-step explanation:

You have to distribute first and then combine like terms.

And that is where you get your answer.

Hope this helps.

Every eight minutes the river raft can load 88 passengers what is the loading rate for passengers per minute

Answers

Answer:

11 passengers per minute.

Step-by-step explanation:

To find how many passengers board the boat in a minute, you'd have to divide 88 with 8.

88/8 = 11

To check:

11 passengers per min x 8 mins = 88 passengers.

MARKING BRAINLIEST In two or more complete sentences, explain how to use ordered palrs of points in f(x) = 2x+5 and g(x) = x-5/2 to
determine if f(x) and g(x) are inverses of each other

Answers

Answer:

It is very difficult to know because you did not include the function g(x), you only gave us f(x).

Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.

f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list

f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list

f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list

So even though you didn’t list g(x), g(x) = (x/2) - 5/2

Well, we know that if we have an ordered pair of points (a,b) that satisfy a function y=f(x), then the inverse function will necessarily have a set of points (b,a).

We can choose any set of point that satisfy our first function f(x). x=3 => f(3)=11 so our set of points will be (3,11). Now if g(x) is and inverse function of f(x), when we calculate g(11) it should be equal to 3. Let's see:

g(11) = (11-5)/2 = 3. It works.

We have proven that f(x) and g(x) are the inverses of each other.

From 93 books to 144 books

Answers

51 Books

I think this is what you're looking for?

what is s and what is t?

Answers

Answer:

Step-by-step explanation:

S = 2

T = -2

so in S - T = 4. 2 - -2 = 4

IN S + T = 2  S + - 2 = 2

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