peter, henry and john shared $345 between them. Peter received $45, henry received $75 and john received the rest.
a) find the ratio of peters share to henrys share to johns share

Answers

Answer 1

Answer:

Step-by-step explanation:

Let J = John's share ($)

     P = Peter's share ($)

     H = Henry's share ($)

 

1) H = P + 80

 

2) J/P = 6/3 = 2

 

3) P/H = 3/5  

 

Substitute equation 1) into equation 3)

 

P/(P + 80) = 3/5            (multiply both sides by (P + 80)

 

P = (3/5)*(P + 80)         (multiply both sides by 5)

 

5*P = 3*P + 240

 

2*P = 240

 

P = 240/2 = $120

 

Substitute P value into equation 2)

 

J/P = 2  or

 

J = 2*P = 2*$120 = $240

 

John received $240

 

 


Related Questions

answerrrr please . thanks xoxo
y-2>11

Answers

Answer:

y >13

Step-by-step explanation:

y - 2 > 11

solve like how you would solve an equation, with inverse operations

y -2 > 11

  +2   +2

y > 13

Answer:

it shoud just be y>13

Step-by-step explanation:

bc you add 2 to each side which cancels the -2 on the left and makes the 11 on the right 13

help please this for algebra 1​

Answers

Answer:

D. 1/3

Step-by-step explanation:

When you add 1/3 and 6 you get 6 1/3 so yeah

I think the answer would be D:)

help plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

Step-by-step explanation:

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet

If the length of a rectangle in terms of x is x2 + 2x + 5, and its width is 2x + 3, what is the perimeter of this rectangle?

Answers

Answer:

6x

Step-by-step explanation:

Perimeter of rectangle is [tex]2x^{2} +8x+16[/tex].

What is perimeter of rectangle?

The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.

Given

Length of a rectangle in terms of x = [tex]x^{2} +2x+5[/tex]

Width of a rectangle in terms of x = [tex]2x+3[/tex]

Perimeter of rectangle = 2(length + width)

P = [tex]2(x^{2} +2x+5 + 2x+3)[/tex]

P = [tex]2(x^{2} +4x+8)[/tex]

P = [tex]2(x^{2} )+2(4x)+2(8)[/tex]

P = [tex]2x^{2} +8x+16[/tex]

Hence, Perimeter of rectangle is [tex]2x^{2} +8x+16[/tex].

Find out more information about perimeter of rectangle here

https://brainly.com/question/15287805

#SPJ3

Charlotte is working two summer jobs, making $18 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work at most 15 total hours and must earn a minimum of $150. If Charlotte worked 5 hours walking dogs, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.

Answers

Answer:

the answer is 6.6 or at estimation 7

Answer:7

Step-by-step explanation:

write the lengths in order from greatest to least

12.7 ( 12 7/10) 12 3/5 12 3/4

Answers

12 3/5, 12 7/10, 12 3/4

What's the value of r (common ratio)
7, 21, 63, 189, ......
11)
A. 3
B. -3
C.
32
D.
Neither

Answers

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex]the \: common \: ratio \: is \: 3 \\ i.e \: \frac{21}{7} = \frac{63}{21} = \frac{189}{63} = 3[/tex]

The answer is A

I already wrote the steps and explanation in the image

Sorry for my broken English QAQ

There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of the speed of light, while the other twin stays home on Earth. How much does the twin on Earth age while the other twin travels to Proxima Centauri?

Answers

Answer:

4.7 years

Step-by-step explanation:

Distance of planet from Earth = 1.3 parsec

We know that 1 parsec = 3.26 light years

And a light year is the distance traveled by light in time period of 1 year.

So, Distance of planet from Earth = 1.3 [tex]\times[/tex] 3.26 = 4.24 light years

Given that, the person travels at a speed equal to 90% of the light speed.

To travel to the planet from Earth, Light takes 4.24 years.

To travel the distance [tex]D[/tex], at a speed [tex]s[/tex] light takes time of 4.24 years.

To travel the distance [tex]D[/tex], at a speed [tex]0.90s[/tex], the person takes time:

[tex]\dfrac{4.24}{0.90} = \bold{4.7\ years}[/tex]

So, the twin on Earth ages by 4.7 years.

Answer:

4.7 years

Step-by-step explanation:

The temperature in Coldspot is -7o F and increasing 2.5o per hour. The temperature in Frostberg is 19 degrees F and decreasing 4 degrees per hour.
a. How long will it be until the temperatures are the same?
b. What will the temperature be then?

Answers

Answer:

It will take 4 hours for the temperatures to be the same. The temperature will be 3° at that time.

Step-by-step explanation:

Coldspot = -7 + 2.5x

Frostberg = 19 - 4x

First, we are going to input our values into the variable in a table.

          Coldspot                            Frostberg

1     -7 + 2.5(1) = -4.5                    19 - 4(1) = 15

2     -7 + 2.5(2) = -2                     19 - 4(2) = 11

3     -7 + 2.5(3) = 0.5                   19 - 4(3) = 7

4     -7 + 2.5(4) = 3                      19 - 4(4) = 3

It will take 4 hours for the temperatures to be the same. The temperature will be 3° at that time.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

4 hours

Step-by-step explanation:

If you deposit $5000 at the end of each year for 30 years using an annual interest rate of 9% compounded annually, how much money will you have after 30 years?

Answers

$163,500

5000(0.09) x 30 = 13,500
5000 x 30 = 150,000
Altogether 163,500

WHAT DO I DO NEXT!!!!!!!!!!
Names
Item 1
Price
Item 2
Price
Item 3
Price
Subtotal
Tip
Total Bill
Your name
My sister
Kids meal and chicken tenders
4.99
burger
3.99
Drink
small
2.50
49.77
3
50.00
Friend #1
family
Kids meal
4.99
Cheese burger
2.99
Drink
small
1.99
29.69
10
30.00
Friend #2
me
burger
2.30
fries
2.99
Coffe
mocha
2.00
13.75
20
14.00
Friend #3
Family and family
Burger with stuff in side
4.99
Burger with stuff in side
4.99
Two drinks for two people.
9.00
18.99
20
c
Part 2: Questions
Answer the following questions, showing all work:
What is the total cost of the entire bill (all four meals), including tip?
50 + 30+ 14 + 19 = 113


Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
113
If you just multiply 4.99 by 3.99 by 2.50 you would get 49.77 thats just an example.



If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.

Answers

There is no answer you did everything? :/

Answer:

what ????

Step-by-step explanation:

EMERGENCY! PLEASE ANSWER ASAP! ​

Answers

Answer:

Its the second one

Step-by-step explanation:

A. It has reflectional symmetry with one line of symmetry.
B. It has rotational symmetry with an angle of rotation of 120°.
C. It has no reflectional symmetry.
D. It has rotational symmetry with an angle of rotation of 60°.
NEED HELP!​

Answers

I believe it is D !

a counselor charges a client $110 for 4 hours of therapy. how much does the counselor earn per hour

Answers

$27.5 per hour .......

HELP ME PLEASE!!!!!!!!!

Answers

Use Conects it got all the math questions n got the answer to questions ahead of the one u looking for

Would the answer to this be 6 or 4?

Answers

Answer:

6 or -1

Step-by-step explanation:

6=a^2-5a

=a^2-5a-6

(a-6)(a+1)

a=6, -1

Jill babysat for 7 1/2 hours and earned $63.75. How much money does she earn per hour?​

Answers

Answer:

$8.50 per hour

Step-by-step explanation:

63.75 / 7.5 = 8.5

Jeremy is saving $250 per month for his vacation . How much will Jeremy save up for his vacation in 1 year and 6 months?

Answers

Answer:

The expression shows the number of dollars he will have saved by the end of the year is given by 35(7)+40(5)=\$44535(7)+40(5)=$445

Step-by-step explanation:

Since we have given that

Amount he saved per month over the first 7 months = $35

Amount he saved per month over the next 5 months = $40

So, total saving by the end of the year is given by

\begin{gathered}35\times 7+40\times 5\\\\=\$245+\$200\\\\=\$445\end{gathered}

35×7+40×5

=$245+$200

=$445

Hence, the expression shows the number of dollars he will have saved by the end of the year is given by

35(7)+40(5)=\$44535(7)+40(5)=$445

the sum of two numbers is -18. if the first number is 10 which equation represents this situation and what is the second number?​

Answers

The answer would be -28
10+ -28= -18

simplifying radicals pt.3 please help ASAP and explain if possible

Answers

Answer: It would be the first option. 15√​6

Step-by-step explanation:

5√3 = 5x3=15

√18= √9x2

√9=3

√3x2= √6

15√6

Pls help
Solve 2/3x- 1/5>1

Answers

Answer:

x > 9/5

Step-by-step explanation:

Step 1: Write inequality

2/3x - 1/5 > 1

Step 2: Solve for x

Add 1/5 to both sides: 2/3x > 6/5Divide both sides by 2/3: x > 9/5

Here we see that any x value greater than 9/5 will work.

Which equation represents exponential decay? A. y=100 (31)
B. y = To (3.1)
c. y = 10(0.13)
D. y = 100(1.03)
HURRY I AM DOING MAP TESTING

Answers

Answer:

C

Step-by-step explanation:

Algebra, help please ASAP

Answers

Answer:

GCF

I hope this helps!

Answer:

GCF

Step-by-step explanation:

A deluxe bakery sells a cookie for $2.38, a brownie for $3.07 and a cake for $14.87. On Wednesday they sold 13 cookies, 4 brownies and 4 cakes. The cost in ingredients for each cookie is $1.7, for each brownie is $1.91 and for each cake is $5.83. How much profit did they make on Wednesday?

Answers

Answer:

$ 49.64

Step-by-step explanation:

Selling price of cookie on Wednesday = 13 × 2.38 = $30.94

Selling price for brownie on Wednesday = 4 × 3.07 = $ 12.28

Selling price for cakes on Wednesday = 4 × 14.87 = $ 59.48

Cost price for cookie = 13 × 1.7 = $ 22.1

Cost price for brownie = 4 × 1.91 = $ 7.64

Cost price for cakes = 4 × 5.83 =$ 23.32

Total profit for Wednesday= Total selling price - total cost price

That is;

(30.94 + 12.28 + 59.48) - (22.1 + 7.64 +23.32) = $ 49.64

solveeee pleaseeee . thanks xoxo
t-4>-7

Answers

Answer:

t>-3 is the answer. hope this helped!

Step-by-step explanation:

Its simple you add 4 to both sides. t-4+4 > -7+4= t > -3

PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!

Answers

Answer:

lines a and b would be parallel, and the reason is <3 and <6 are alternate interior angles

Step-by-step explanation:

What does (+7)-(-3) equal

Answers

Answer:

10

Step-by-step explanation:

7−(−3)

=7−(−3)

=7+3

=10

Answer:

10

Step-by-step explanation: calculator

Consider the triangle.

Triangle A B C is shown. Side A B has a length of 22, side B C has a length of 16, and side C A has a length of 12.

Which shows the order of the angles from smallest to largest?

angle A, angle B, angle C
angle B, angle A, angle C
angle B, angle C, angle A
angle C, angle A, angle B

Answers

Answer:

It's B for edge 2020

Step-by-step explanation:

The order of the angles from smallest to largest is angle B, angle A, angle C and is denoted as option B.

What is a Triangle?

This is referred to a polygon which has three edges and vertices with its longest side being the hypotenuse.

The angle facing the largest side(AB) is always the largest which in this case is angle C, the medium side is side BC which has a length of 16 with the angle facing it as A which is why it is the second largest.

Read more about Triangle here https://brainly.com/question/1058720

#SPJ9

Help me please! Will mark Brainliest! <3

Answers

Answer:

助けはないが私をマークする

Step-by-step explanation:

Answer:

(0,0) is the origin therefore $0 per hour

(1,125) means that in 1 hour the company rents rafts for $125 per hour

what is the approximate volume of the cone? use 3.14 for p? help immediately

Answers

Answer:

V=157

Step-by-step explanation:

Formula-

V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]

1.) Place height and radius in the formula.

V=π[tex]5^{2}[/tex][tex]\frac{6}{3}[/tex]

2.) Now all you have to do is simplify.

V=3.14 x 25 x 2

3.) Now solve.

V=157.07963

Answer:

I say 157 cubic centimeters

Step-by-step explanation:

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