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

what is 8 1/2 times 11

Answers

Answer:

93 1/2

Step-by-step explanation:

(PLEASE ANSWER ILL GIVE YOU 20 POINTS) Determine if the relation is a function. If the relation is a function, find the domain and range.Required to answer. Single choice.

Answers

Answers:

The relation is a function

Domain = {-2, -1, 0, 1, 2}

Range = {-2, 0, 2}

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

Explanation:

The blue points shown are

(-2,-2)

(-1,0)

(0,2)

(1,0)

(2,-2)

Note how the x values do not repeat themselves. Visually this graph passes the vertical line test. It is impossible to draw a single straight vertical line through more than one blue point at a time. It tells us that any x input leads to exactly one y output.

The relation is a function

The domain is the set of x coordinates of the points

Domain = {-2, -1, 0, 1, 2}

The range is the set of y coordinates of each point

Range = {-2, 0, 2}

Toss out any duplicate items that may occur in the range.

Answer:

The relation is a function.

The domains are 2, 1, 0, -1, -2.

The ranges are -2, 0, 2, 0, -2

When Tran finished the next level of her video games, she gained 40 points for each of the two targets she hit and lost 125 points for taking too long. Write the total change to her score as an integer.

Answers

Answer: -45 is the first

-30 is the answer to the picture

Identify the set of numbers that best describes the situation. Explain your choice. The weight of a person in pounds.

Answers

Answer:

Rational number

Rewrite the simplest terms : 6(6r+8)-2r ?

Answers

Answer:

2 • (r + 1) • (r - 4)

Step-by-step explanation:

convert 7.25 kL to mL

Answers

Kl=1000
So that would be 7250 ok

I need two answers pls

Answers

I know that one is 9/44. I’m not sure about the other one, sorry!

what is 14.876 - 4.96

Answers

Answer:

9.916 is the answer

the answer is 9.916 can i get brainliest please

how would you describe a transformation to someone who has never taken geometry before? explain what a transformation is and state how a transformation can be used to solve a problem in real life ?

Answers

Answer:

a geometric transformation would mean to make some changes in any given geometric shape. In geometry, transformations relate to the movement of figures on a plane. Each transformation follow a rule

Step-by-step explanation:

For example 4 to the felt and 3 to the top, (x,y) (x-4, y+3)

2 down and 4 to the right, (x.y) (x-2, y+4)

Basically if you see an image on a graph, its the preimage and you need to create the new image the same size and shape as the the original.  

the diagonals of a quadrilateral bisect each other at right angles. What is the quadrilateral best described as?
(a) parallelogram
(b) kite
(c) rhombus
(d) trapezium

Answers

Answer:

trapezium fit the most

A survey got 67,371 responses. The survey has 24 questions. How many total answers need to be processed?

Answers

Answer:

1,616,904 answers.

Step-by-step explanation:

67,371

x     24

______

1,616,904

What is an equation in point slope form of the line that passes through (7, 1) and (-3,9)

Answers

Answer:

y= -4/5x+33/5

Step-by-step explanation:

for questions like these, the slope is always defined as the change in y over the change in x or use the equation m=y2-y1/x2-x1.

x1=7 and y1=1

x2=-3 and y2=9

now plug these numbers in to the equation. m= 9-1 / -3-7 Or m= 8/-10 simplified to m= -4/5

now that we have the slope you can plug it in to the equation y=mx+b and get y= -4/5 + b.

to find b, the y-intercept, you can use either of the two points and the answer will be the same. for this one, I'll use (7,1).

1= -4/5 x 7+b. b= 33/5

HOPE THIS HELPS!!

Help please with #9 & 10!!!

Answers

Answer:

9) x=3

10)x=8.5

Step-by-step explanation:

Because M is a midpoint, for both questions, the equations on M's either sides are equal.

9) 5x+9=24

Subtract 9 from both sides

5x=15

Divide by 5 on both sides

x=3

10) 3x-7=x+10

Add 7 to both sides and subtract x from both sides

2x=17

Divide by 2

x=8.5

what is 2 / 12 * 20 ​

Answers

Answer:

3⅓

Step-by-step explanation:

2/12•20=

1/6•20=

20/6=

10/3=

3⅓

Solve the inequality.

8(x – 2) + 9 < 3(x – 1) + 5x

Answers

Steps:
1. Remove the parentheses
2. Calculate
3. Collect like terms
4. Cancel equal terms
5. Answer

Answer:

infinate solution

Step-by-step explanation:

8(x - 2) + 9 < 3(x - 1) + 5x

Distribute

8x - 16 + 9 < 3x - 3 + 5x

Combine like terms

8x - 7 < 8x - 3

Subtract 8x to both sides

-7 < -3

Since -7 is less than -3, there are many infinitely solutions to this equation.

with 12 gallons of gas, he notices that it costs him $50.28.

How much will it cost him to fill up the truck if it needs 25 gallons of gas?

Answers

Answer:

$104.75

Step-by-step explanation:

$4.19 per gallon

$4.19 x 25= $104.75

please help me with these​

Answers

Answer:

1: 128

2: 11

3: 6

~~~~~~~~~~~~~~~~~~~~~~

I'm sure that I did it right make sure to double check tho!

All you need to do is plug the numbers into their variables :)

(-1,-1) and ( 4,5)

Finding the distance between the two points

Answers

Answer:

The distance between the two points is

Exact form:

41

Decimal form:

6.40312423.......

Have a wonderful day!!!

A bird is about 6.9 inches long. If the bird can fly 64 miles with the wind in the same time it can fly 44 miles against the wind when the wind speed is 5 mph, what is the rate of the bird in still air?

Answers

Answer:

69?

Step-by-step explanation:

wheres the 420 at aye gottem

What is the value of x?

Answers

Answer:

x = 60 degrees

Step-by-step explanation:

Jenny has 3 guitars. Steve has 4 guitars. If the
ratio of guitars is 4:3, who is first in the ratio?

Answers

Answer:

Steve is first

Step-by-step explanation:

Steve is first in the ratio if the ratio of guitars is 4:3.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. A set of data points can be used to observe the constant relationship. A set of data with a constant relationship between two values is a comparison of miles traveled to hours traveled. A special type of ratio is the comparison of two different quantities.

The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b

Jenny has 3 guitars. Steve has 4 guitars.

The ratio is 4:3, which represents 4/3 or 4 parts Steve to 3 parts Jenny.

Hence, Steve is first in the ratio.

Learn more about the Ratio here:

brainly.com/question/1504221

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Please help ASAP
What is the greatest common factor of 9 and 12?
3
9
36
108

So... I looked up this question before asking BUT some people said it was wrong ???? so I wanted to get some second opinions.

Answers

3 is the greatest common factor, because both numbers are divisible only by 3.

Answer:

The GCF Of 9 and 12 is 3.

Step-by-step explanation: Okay so first lets multiply! 3x1 Is 3 3x2 is 6 and 3x3 is 9, 3 x 4 equals 12! Since they both can be divided by 3, Example 12 divided by 3= 4 9 divided by 3= 3, therefore they have a GCF of 3. Remember, this is the greatest factor, not Multiple.

A cylinder has a height of 5.3cm and a diameter of 3.0cm. What is its volume

Answers

Answer:

44.53

Step-by-step explanation:

I'm smort

find the value of x so that f(x)=7.

Answers

find the value of x so that f(x)=7

The answer is:

x = 5

The value of x such that f(x) = 7 is 5.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given a graph of a function f(x).

The graph is a straight line where there is a unique value of y for each value of x.

We have to calculate the value of x when y = 7.

Taking the y coordinate to 7, the x coordinate corresponding to the y coordinate is 5.

Hence the value of x is 5.

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A college accepted new applicants, of whom 56% were male and 44% were female. The board of directors was not pleased that males were being accepted at a greater percentage than females. A private company investigated and found each department accepted a greater percentage of females over males. What may make this claim possible?

Answers

Answer:

Simson paradox

Step-by-step explanation:

In Simpson paradox, the trend that appears in the combined data reverses or disappears in the results of the several individual groups that make up the combined data

In the question, given that the percentage of female applicants accepted = 44% while the percentage of male applicants = 56%, and that the private company found that each department accepted a greater percentage of females over males

The above claim can occur when there is a confounding variable, which is the number of applications from female or male

The percentage used or the data provided to by the private company in each department are percentage in proportion of number of accepted females to total number of female applicants and percentage in proportion of number of accepted males to total number of male applicants, whereby, when there are fewer number of female applicants to each department and more were accepted, their percentage will be larger than the percentage of the male applications that have a lower percentage but larger number of applications, such that the accepted male applicants still outnumber the female when that total number of applications are considered.

PLS HELP 50 POINTS I WILL GIVE BRAINLIEST
Assume the vertical lines are parallel. Find the measures of angles 1-15.

Answers

1. 12
2. 50
3. 40
4. 30
5. 70
6. 50
7. 60
8. 40
9. 40
10. 40
11. 50
12. 130
13. 140
14. 40
15. 140

Which of the following is the best example of a system of equations that should be solved by the elimination method?


Question 2 options:


8x + 3y = 2


5x + 8y = -11



2x - 4y = -16


y = 5x + 13



-8x - 9y = -17


16x - 4y = 12



12x + 7y = -17


9x + 11y = -7

Answers

Answer:the answer -8x-9y=-17

16x-4y=12

Step-by-step explanation:

divide 16x-4y=12 with 2

8x-2y=12

Then add the equations

-8x-9y=-17

8x-2y=12

0-11y=-23

You can’t do this with the other equations provided.

jenny was shopping and found a bag that was marked with a discount of 1/3 off if the original cost of the bag was 80 how much will jenny pay

Answers

Answer:

53.33

Step-by-step explanation:

1/3 of it is 26.66 continuing so it's rounded up

therefore, 80-26.67 is 53.33

INDEPENDENT PRACTICE
A rotating sprinkler spins and shoots water out a distance of 9 feet. What is the approximate area that is
being watered by the sprinkler?
A. 28 ft?
B. 80 ft
9 ft
C. 154 ft?
D. 254 ft?

Answers

What does the 9ft go to ?

3x-4(2+3x)=82
I have to get an answer of x=-10 but I cant seem to get it. Can someone answer it and give me an explanation please?

Answers

Answer:

x=-10

Step-by-step explanation:

3x-4(2+3x)=82

3x-(4*2)+(4*3x)=82

3x-8-12x=82

-9x-8=82

-9x-8+8=82+8

-9x=90

-9x/-9=x

90/-9=-10

x=-10

Answer:

10 isn't the right answer

Step-by-step explanation:

multiply everything in the parenthesis by -4

you would get 3x-8-12x=82

then combine like terms to get -9x

once your equation is in simplist form it will look like

-9x-8=82

next you add 8 to the 82

-9x=90

then divide 90 by -9 and you would get

x=-10

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