A sum of $ 2700 is shared among Eric, Jo and Richard. Jo's share is two times that of Richard's share. Eric's share is three times that of Jo's share. Find Eric's share.

Answers

Answer 1

Answer:

Eric's share is $1,800.

Step-by-step explanation:

You can write the following equations from the information given:

x+y+z=2,700 (1)

y=2z (2)

x=3y (3), where:

x=Eric's share

y= Jo's share

z=Richard's share

Now, you can replace (2) in (1) and (3) to have two equations:

x+2z+z=2,700

x+3z=2,700

x=3(2z)

x=6z

The two equations are:

x=6z (4)

x+3z=2,700 (5)

Then, you can replace (4) in (5) and solve for z:

6z+3z=2,700

9z=2,700

z=2,700/9

z=300

After this, you can replace the value of z in (4) to find x:

x=6*300

x=1800

Finally, you can replace the value of z in (2) to find the value of y:

y=2*300

y=600

According to this, the answer is that Eric's share is $1,800.


Related Questions

Mr. Mole's burrow lies 5 55 meters below the ground. He started digging his way deeper into the ground, descending 3 33 meters each minute.

Answers

Answer:

184,815

Step-by-step explanation:

so my answer my not be right so i would say double check but anyway just multiply 3333 and 555 and this should be your answer.

Answer:

Everything is below.....

Step-by-step explanation:

Add 3/7 + 4/5 please helppppp me

Answers

Answer: 43/35

Reasoning: You need the denominators to equal the same to add or subtract them

what is 1/3 and 2/3 as decimals?

Answers

Answer:

1/3=0.333333...

2/3=0.666666...

Step-by-step explanation:

1/3=0.333333...

2/3=0.666666...

Answer:

0.3 and

Step-by-step explanation:

You can convert the fraction to a decimal by dividing the numerator by the denominator.

Dividing 1 and 3 would get me 0.3.

Same goes for 2/3. If I divide 2 and 3, it would get me 0.6.

Hope this helps! :D

- Anna

What is the answer to 2xc=14 ?

Answers

Answer:

c= 7/x

Step-by-step explanation:

find the unit rate in feet per second 180miles 2hours ​

Answers

Answer:

90

Step-by-step explanation:

180/2=90

S / T

Speed divided by time

Is 7.24979 a rational number

Answers

Answer:

No, this is not a rational number.

This is an irrational number because it's not rational. There isn't a possible ratio for that number.

(y-5) × (y+7) Solve Simplified Version with Area Model.

Answers

Answer:

35

Step-by-step explanation:

y² + 2y - 35

100 POINTS!!!!!!!! An order is placed for n items each costing p dollars and three times as many items each costing $8 more. Write a simplified expression for the total cost of the order. please type, do not post a picture or i cannot see it. thankoo!!!

Answers

N = p +8 +3 so so it’s what n is the items, so it’s those items (p) and adding 3 each time

Solve the equation and show your work: 8x+6=-(4-2x)+6x

Answers

Answer:

Unsolvable

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

What is the greatest common factor of 60w,36w^2 ,24w^4

Answers

The greatest common factor is 12w

Solve and graph the inequality. 46n > 23 The inequality is equal to _____

Answers

Answer:

n>1/2

sorry I don't really know how to work it on a graph.

The ratio of meatballs to the total number of toppings on a pizza is 2:5. Can this be thought of as a fraction?
A) No because ratios can never be thought of as fractions.
B) No because it’s a part-to-part ratio, and not a part-to-whole.
C) Yes because it’s a part-to-whole ratio.
D) Yes because it’s a part-to-part ratio.

Answers

Answer:

A. no because ratios can never be thought of as fravtions.

c, yes because it is part to whole

How many twelfths are in nine fourths

Answers

Answer:

I believe it is 18

Step-by-step explanation:

the solution too: 4(3x−5)=−80?

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\text{FIRST step: you have to DISTRIBUTE}[/tex]

[tex]\textsf{4(3x) - 4(-5) = ?}[/tex]

[tex]\mathsf{4(3x)= 12x}[/tex]

[tex]\mathsf{4(-5) = -20}[/tex]

[tex]\mathsf{\underline{= 12x - 20}}[/tex]

[tex]\textsf{NEW EQAUTION}[/tex]

[tex]\mathsf{12x - 20 = -80}[/tex]

[tex]\textsf{SECOND step: ADD by 20 on BOTH of your sides}[/tex]

[tex]\mathsf{12x - 20 + 20 = -80 + 20}[/tex]

[tex]\mathsf{Cancel\ out: -20 + 20\ because\ it\ gives\ you\ 0 }[/tex]

[tex]\textsf{Keep: -80 + 20 because it helps us solve for our answer}[/tex]

[tex]\mathsf{-80 + 20 = \underline{-60}}[/tex]

[tex]\textsf{NEW EQUATION}[/tex]

[tex]\mathsf{12x = -60}[/tex]

[tex]\textsf{THIRD step: DIVIDE by 12 on BOTH of your sides}[/tex]

[tex]\mathsf{\dfrac{12x}{12} = \dfrac{-60}{12}}[/tex]

[tex]\mathsf{Cancel \ out: \dfrac{12x}{12}\ because\ it\ equals\ 1}[/tex]

[tex]\mathsf{Keep: \dfrac{-60}{12}\ because\ it\ solves\ for\ x}[/tex]

[tex]\mathsf{\underline{\dfrac{-60}{12} = -60 \div 12\rightarrow \bf{-5}}}[/tex]

[tex]\textsf{ANSWER}[/tex]

[tex]\boxed{\textsf{Thus, your is: \boxed{\mathsf{\bf{x = -5}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

If 8x-4=6x-10, find the value of 3x

Answers

8x - 4 = 6x - 10
8x - 6x = - 10 + 4
2x = -6
x = -3
3x = -9

Answer:

[tex]3x = -9[/tex]

Step-by-step explanation:

Move all terms containing x to the left side of the equation.

[tex]2x-4=-10[/tex]

Move all terms not containing  x to the right side of the equation.

[tex]2x=-6[/tex]

Divide each term by  [tex]2[/tex] and simplify.

[tex]x=-3[/tex]

Replace the variable [tex]x[/tex] with [tex]-3[/tex] in the expression.

[tex]3(-3)[/tex]

Multiply [tex]3[/tex] by [tex]-3[/tex]

[tex]-9[/tex]

help ?? 8x + 0.2 = 48.2
x =

Answers

Hey there!

[tex]Answer:\boxed{x=6}[/tex]

[tex]Explanation:[/tex]

[tex]8x+0.2=48.2[/tex]

Let's start with subtracting 0.2 from both sides of the equation.

[tex]8x+0.2-0.2=48.2-0.2\\8x=48[/tex]

In our second/last step, we will divide both sides by 8.

[tex]\frac{8x}{8}=\frac{48}{8}[/tex]

Let's simplify by dividing 48 by 8.

[tex]48/8=6[/tex]

[tex]\boxed{x=6}\text{ is your answer.}[/tex]

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

What is PQR?? I need an answer asap please :)

Answers

Answer:

PQR = 133

Step-by-step explanation:

Part a

180= 4x -4

180 + 4 = 184

184/4 = 46

46=x

Part b

3 * 46= 138

138-5 = 133

PQR = 133

What is segment addition postulate and how do you do it?

Answers

Answer:

A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

Step-by-step explanation:

14 greater than or equal to 2x+8

Answers

Answer:

x=4

Step-by-step explanation:

Hope this helps.

Answer:

Greater than

Step-by-step explanation:

2x+8

divide 2 into both sides

therefore you get

x=4

14 is greater than 4

2xy + 13 mn- 9x + 3
How many terms are in the polynomial

Answers

Answer:

4

Step-by-step explanation:

im pretty sure the answer is 4 i learned about this last year

A Ferris wheel can accommodate 50 people in 25 minutes.How Many people could ride the Ferris wheel in 4 hours?What was the rate per hour?

Answers

Answer:

200 per hour 800 in 4 hours

Step-by-step explanation:

can someone please help me I'm very stuck geometry isn't my thing ​

Answers

Answer:

1. (10, -⁸/₃)

2. (2, ⁸/₃)

3. (12, -4)

Step-by-step explanation:

I will do the first 3 as examples.

1. Y is ⅔ of the distance from X to Z.

Y − X = ⅔ (Z − X)

The x-coordinate of Y is:

x − -6 = ⅔ (18 − -6)

x + 6 = ⅔ (24)

x + 6 = 16

x = 10

The y-coordinate of Y is:

y − 8 = ⅔ (-8 − 8)

y − 8 = ⅔ (-16)

y − 8 = -³²/₃

y = -⁸/₃

Y is at (10, -⁸/₃).

2. The ratio of XY to YZ is 1:2.

(Y − X) / (Z − Y) = 1 / 2

Cross multiply.

2 (Y − X) = Z − Y

The x-coordinate of Y is:

2 (x − -6) = 18 − x

2x + 12 = 18 − x

3x = 6

x = 2

The y-coordinate of Y is:

2 (y − 8) = -8 − y

2y − 16 = -8 − y

3y = 8

y = ⁸/₃

Y is at (2, ⁸/₃).

3. Y is ¼ of the distance from Z to X.

Y − Z = ¼ (X − Z)

The x-coordinate of Y is:

x − 18 = ¼ (-6 − 18)

x − 18 = ¼ (-24)

x − 18 = -6

x = 12

The y-coordinate of Y is:

y − -8 = ¼ (8 − -8)

y + 8 = ¼ (16)

y + 8 = 4

y = -4

Y is at (12, -4).

How does this graph change between point D and point g



O The graph increases.
O The graph decreases.
O The graph increases, then decreases.
The aranh remains constant

Answers

The answer would be b

Please help me, its due today!!!

Answers

Answer:

D: 11

Step-by-step explanation:

When I evaluated the expression, I got 11.

Hope it helps! :D

Marianne wanted to know students' opinion on the new schedule at school. She survey's the first
30 students who come into her class. What type of sampling is this?

Answers

I think it is a Convience Sampling.

The type of sampling that Marianne is using is convenience sampling.

What is convenience sampling?

Convenience sampling is a non-probability sampling method where individuals are selected based on their availability and willingness to participate in the study.

Here, Marianne surveyed the first 30 students who came into her class, which means that she selected the participants based on their convenience of being there at that particular time.

Convenience sampling is not a random sampling method, and it can introduce bias into the results because the sample may not be representative of the population of interest.

In this case, the sample of students may not represent the entire student population at the school, and the results may not be generalizable to other students.

Thus, the type of sampling that Marianne is using is convenience sampling.

Learn more about convenience sampling here:

https://brainly.com/question/1413932

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Arthur leaves for school going 55 steps per minutes. DW leaves 8 minutes later going 80 steps/min. How long does it take DW to catch up to Arthur?​

Answers

it will take 2 minutes for dw to catch up to Arthur

6(2t+9)<12t-1 what is the answer

Answers

Answer:

no solutions

Step-by-step explanation:

The inequality: 6(2t+9)<12t-1

First, use distributive property

12t+54<12t-1

Now, add 1 on both sides

12t+55<12t

Subtract 12t on both sides

55<0

This is incorrect, so there are no solutions.

Determine whether the triangle with vertices at the points below is scalene, isosceles, or equilateral:
(3, 4), (8, -1), (10,3)

Answers

Answer:

Step-by-step explanation:

This is a isosceles triangle, An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length.

A scalene triangle is a triangle in which all three sides have different lengths. Also the angles of a scalene triangle have different measures.

In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

what is the factored form of 27t^3 - 36t^2 - 12t - 16

Answers

The factored form of equation is 9t²(3t-4) - 4(3t+4)

What is factored form of an equation?

A factored form is a parenthesized algebraic expression. In effect a factored form is a product of sums of products … or a sum of products of sums … Any logic function can be represented by a factored form, and any factored form is a representation of some logic function.

According to the question

The factored form of equation :

[tex]27t^3 - 36t^2 - 12t - 16[/tex]

taking common from first two terms and last two terms

9t²(3t-4) - 4(3t+4)

as it cannot be factorized further as it do not have any common terms left

Hence, The factored form of equation is 9t²(3t-4) - 4(3t+4)

To know more about factored form of equation here:

https://brainly.com/question/14441094

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Answer:

Step-by-step explanation:

what is the solution to this inequality: -4(3x-5)<2(3x+4)​

Answers

Answer:

x > 2/3

Step-by-step explanation:

-4(3x - 5) < 2(3x + 4)​

Divide both sides by 2.

-2(3x - 5) < 3x + 4

Distribute on the left side.

-6x + 10 < 3x + 4

Subtract 3x from both sides.

-9x + 10 < 4

Subtract 10 from both sides.

-9x < - 6

Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.

x > (-6)/(-9)

x > 6/9

x > 2/3

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