On holidays three friends decided to buy a Christmas tree for $96. They made a cash contribution of 3: 5: 8. The two friends who invested less decided to return the third friend's money so that their cash contributions became the same. What is the ratio of the money returned by the first person to the money returned by the second person

Answers

Answer 1

Answer: 7:1

Step-by-step explanation:

First off, we see that the contribution was divided into 16 parts (8+5+3). If the tree was $96, 96/16 = $6, so each individual part was $6.

First Person: 3(6) = $18

Second Person: 5(6) = $30

Third Person: 8(6) = $48

We know that after the two friends return the money, the $96 will have been split evenly between all three of them.

96/3 = 32 - each person pays $32 total

Because each person has to pay $32 total, the first person must return $14 and the second person must return $2. This means that the ratio is 14:2 which can be reduced to 7:1.

Person 1: 32-18 = 14

Person 2: 32-30 = 2

Person 3: 48-14-2 = 32. - check to see if we were correct, which we are because after two friends pay 3rd back, their total is also 32 dollars.


Related Questions

If [tex]\sf a = log_92[/tex] and [tex]\sf b = log_54[/tex], find [tex]\sf log_615[/tex] in terms of a and b.​

Answers

Answer:

(4a + b)/(2ab + b)

Step-by-step explanation:

Givena = log9 2b = log5 4To findlog6 15 in terms of a and bSolution

Rewrite the given

log9 2 = a ⇒ log2/log9 = a ⇒ 1/2*log2/log3 = a ⇒  log3 = 1/2*log2/alog5 4 = b ⇒ log4/log5 = b ⇒ log5 = 2*log2/b

Rewriting the log6 15:

log6 15 = log15/log6= (log 5 + log3)/(log2 + log3)

Substitute as follows:

(log 5 + log3)/(log2 + log3) =(2*log2/b + 1/2*log2/a)/(log2 + 1/2*log2/a) =(2/b + 1/(2a))/(1 + 1/(2a)) =(4a + b)/2ab ÷ (2a + 1)/2a =(4a + b)/(2ab + b)

how do i do this pls help me

standard form (ax + by = c) to slope-intercept form (y = mx + b)

x-7y= -49 (ANSWER?)

Answers

Answer:

[tex]y = \frac{1}{7} x + 7[/tex]

Step-by-step explanation:

x-7y = -49

i) move x to the right-hand side and change its sign

-7y = -49-x

ii) change the signs on both sides of the equation

7y = 49+x

iii) divide both sides of the equation by 7

[tex] \frac{7y}{7} = \frac{49}{7} + \frac{x}{7} [/tex]

[tex]y = 7 + \frac{1}{7} x[/tex]

iv) use the commutative property to reorder the terms

* commutative property: a+b = b+a

[tex]y = \frac{1}{7} x + 7[/tex]

If OB= 2x+1 and
BR = 3x-10 then OR=

Answers

Answer:

Wish i could help you rock

Step-by-step explanation:

Answer:

5x-9

Step-by-step explanation:

Combine like terms.

what’s the correct answer, please

Answers

Answer:

D?

Step-by-step explanation:

The answer will be D.

Give the slope and y-intercept of the
relationship shown in the table.

Answers

Find slope

25-50 divided by 100-0

Which is -1/4

When x is equal to 0, y is equal to 50

So, your answer is option b

Answer:

B

Step-by-step explanation:

Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each
member of the group one-sixth of the pie, how many people are in the group?

Answers

Answer:

Step-by-step explanation:

4 pies.. cut into 6 slices each.. is 4 *6 = 24

Answer:

24 people

Step-by-step explanation:

Find the unit rate.
486 games every 3 seasons

Answers

Answer:

162 each season

Step-by-step explanation:

Answer:

The unit rate is 162 games per season

Step-by-step explanation:

x2+x2+x2 and 4x2 equivalent when x = 3? Explain please

Answers

Answer:

Step-by-step explanation:

if you mean x^2+x^2+x^2=3x^2

if x=3, we have 3*3^2=3*9=27

4x^2=4*3^2=4*9=36

5 trays with 90 ice cubes

Answers

Answer:

450

Step-by-step explanation:

90 ice cubes time 5 trays equals a total of 450 ice cubes

Josh is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 2 flavors, and 2 toppings to choose
from. How many different ice cream desserts could he order?

Answers

Step-by-step explanation:

So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are

3 * 2 * 2 possible combinations

For example:

S = 3 sizes

F = 2 flavours

T = 2 toppings

Then there are 3 * 2 * 2 = 12 possible combinations

Please Help! I will give brainliest!

Answers

Answer:

D

Step-by-step explanation:

2x+5y =-20, 2x-3y=28

Answers

Answer:

x=5 and y=-6

Step-by-step explanation:

2(5) + 5(-6) = -20 (so true)

and

2(5) - 3(-6) = 28 (true)

Answer:

2x=-20-5y

divide both sides by 2

x=-20-5y/2

2x-3y=28

-3y=28-2x

divide both sides by -3

y=28-2x/-3

Step-by-step explanation: FOR THE FIRST ONE, I MADE X THE SUBJECT AND FOR THE SECOND ONE I MADE Y THE SUBJECT.

What term best describes the expression x + 3?


Binomial


Not a polynomial


Monomial


Trinomial

Answers

binomial since there are two elements in the equation

Estimate the number of words in your textbook, without using a calculator.(The book has about 500 pages, with an average of 38 lines on a page, 12 words on a line.)

Answers

Answer:

[tex]500\ Pages = 228000[/tex]

Step-by-step explanation:

Given

[tex]Pages = 500[/tex]

[tex]Lines = 38[/tex]

[tex]Words = 12[/tex]

Required

Determine the number of words in the book

First, we need to calculate the number of words in a page.

[tex]1\ Page = Words * Lines[/tex]

[tex]!\ Page = 12 * 38[/tex]

[tex]1\ Page = 456[/tex]

Next, we calculate number of words in 500 pages

Multiply both sides by 500

[tex]500 * 1\ Page = 456 * 500[/tex]

[tex]500\ Pages = 228000[/tex]

Hence, there are 228000 words in the book

Write each fraction as a decimal Use abar as needed.
Please help! Give me answers!

Answers

Answer:

9/20 = 0.45

3/10 = 0.3

7/12 = 0.5833333

4/5 = 0.8

2/3 = 0.66667

5/6 = 1.6667

1/6 = 0.16667

15/16 = 0.9375

2/15 = 0.13333

4/11 = 0.3636

5/8 = 0.625

13 / 16 = 0.8125

3/25 = 0.12

4/9 = 0.4444

8/9 = 0.88889

11/16 = 0.6895

14 / 25 = 0.56

11/15 = 0.7333

Step-by-step explanation:

9/20 = 0.45

3/10 = 0.3

7/12 = 0.5833333

4/5 = 0.8

2/3 = 0.66667

5/6 = 1.6667

1/6 = 0.16667

15/16 = 0.9375

2/15 = 0.13333

4/11 = 0.3636

5/8 = 0.625

13 / 16 = 0.8125

3/25 = 0.12

4/9 = 0.4444

8/9 = 0.88889

11/16 = 0.6895

14 / 25 = 0.56

11/15 = 0.7333

WILL MARK BRAINLY! The population of a particular city is given by the function P(t) = 82,100(1.02), where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) after 15 years?
Hint: Percentage Growth Rate = r × 100 in A= A0(1 + r)^t

○ 82,100, 2% semiannually, 110,658
○ 82,100, 10.2% annually, 352,425
○ 82,100, 2% annually, 110,496
○ 82,100, 20% semiannually, 985,200​

Answers

Answer:

P(t) = 82,100(1.02)^t

 1.t is the time in years  

 

2.P(t) is the population after t years

 

3. 100%=1       102-100=2% so the interest rate is 2 %

   102%=1.02

 

4. after 15 year just put in term s of 't' (wich is represent the years) 15 :

Step-by-step explanation:

Answer:

82,100, 2% annually, and 110,496

Step-by-step explanation:

took the thing ya know

18 divide by 2 * 3/5-2 simplify show all work

Answers

Answer:

9

Step-by-step explanation:

I would guess it looks like this - if not then tell me

[tex] \frac{18}{ \frac{2 \times 3}{5 - 2} } [/tex]

2×3=6

5-2=3

Then there's only

[tex] \frac{18}{ \frac{6}{3} } [/tex]

Which is equal to

[tex] \frac{18}{1} \times \frac{3}{6} = \frac{54}{6} = \frac{9}{1} = 9[/tex]

Answer:

9 or 3 2/5

Step-by-step explanation:

There are two scenarios, (5 - 2) in denominator and 5 in denominator as it is not clear. Solving both:

18/2*3/(5 - 2) =9*3/3 = 9*1 =9

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

18/2*3/5 - 2 =9*3/5 - 2=27/5 - 2 =17/5 =3 2/5

what is the equation of the line that passes through the point (-3,4) and has a slope of 1/3?​

Answers

Answer: Y= mx+c

So m= the gradient (slope)

And c=the y intercept (x,y= -3,4)

So it should be

Y=1/3x+4

Step-by-step explanation:

Answer:

y=1/3x+5

Step-by-step explanation:

1
2
B
4
3
5
6
С
8
7
D
In this figure, AB | CD and m_1 = 105°
What is m25?
Enter your answer in the box.

Answers

Answer:

105°

Step-by-step explanation:

105°

The phases of the moon are caused by:
A) tilt of the earth
b) tilt of the moon
c) revolution of the earth around the sun
d) revolution of the moon around the earth

Answers

Answer:

The moon's phases are caused by the changing angles of the earth's shadows and reflected sunlight as the moon revolves around the Earth over the course of about 1 month (28 days). An imaginary line where the Earth is tilted.

Answer:

b. tilt of moon

Step-by-step explanation:

it would be the same reason we get our season because the moon is not directly on its vertical axis

A can of green spray paint is held upright 8 inches away from a wall. The nozzle on the
spray paint creates an angle of 50° as it spreads paint out. When the paint lands on the
wall (as the can is held steady) it makes the shape of a circle. What will the approximate
area of the circle be? Round your answer to the nearest hundredths of a square inch.
,500
Spray Paint

Answers

Answer:

500

Step-by-step explanation:

A speed skater travels how many meters per second?

Answers

Answer:

In skating, one skate pushes and the other skate glides--there is very little friction to slow you down. Speed skater Hiroyasu Shimizu of Japan can travel 500 meters in just 35.39 seconds, an average speed of 14.13 meters per second or 31.6 miles per hour.

Step-by-step explanation:

Answer:

Answer :

In skating, one skate pushes and the other skate glides--there is very little friction to slow you down. Speed skater Hiroyasu Shimizu of Japan can travel 500 meters in just 35.39 seconds, an average speed of 14.13 meters per second or 31.6 miles per hour.

have a nice day <3

if this helped, rate 5 stars

james and joseph want to buy a book. James is short of $2.40 and joeeph is short of $3.60. They are able to buy the book when they pool their money. How much does the book cost?​

Answers

$2.40 + $3.60 = $6

The book costs $6.

Which method listed below would NOT be used to prove that two triangles are congruent?.
A. Prove that two sides and an included angle of one triangle are congruent to two sides and an included angle of the other triangle.

B. Prove that two angles and an included side of one triangle are congruent to two angles and an included side of the other triangle.

C. Prove all three sets of corresponding sides congruent.

D. Prove all three sets of corresponding angles congruent.

Answers

Answer:

C

Step-by-step explanation:

Solve |x + 1| = 3 Question 12 options: A) x = 3 or x = 2 B) x = 4 C) No solutions D) x = –4 or x = 2

Answers

Answer:

x=2

x=-4

Step-by-step explanation:

[tex] |x + 1| = 3[/tex]

[tex]x + 1 = 3 \\ x + 1 = - 3[/tex]

therefore

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

help with slope please !

Answers

Answer:

-1

Step-by-step explanation:

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Rachel and David were shopping for holiday gifts when they noticed a Thanksgiving sweater on the discount rack. Rachel really wanted the sweater, even though she wouldn’t be wearing it until Thanksgiving of 2021! Part A: ​If the original price of the sweater was $24.00, and the sweater is on sale for 60% off, what is the sale price?

Answers

Answer:

[tex]Sales\ Price = \$9.60[/tex]

Step-by-step explanation:

Given

[tex]Price = \$24.00[/tex]

[tex]Discount = 60\%[/tex]

Required

Determine the sales price

First, we calculate the discount price

[tex]Discount\ Price = Price * Discount[/tex]

[tex]Discount\ Price = \$24.00 * 60\%[/tex]

[tex]Discount\ Price = \$14.4[/tex]

The sales price is then calculated by subtracting the discount price from the original price of the item

[tex]Sales\ Price = Price - Discount\ Price[/tex]

[tex]Sales\ Price = \$24.00 - \$14.40[/tex]

[tex]Sales\ Price = \$9.60[/tex]

ok yall I really need help with this!

Answers

Answer:

25

Step-by-step explanation:

PEMDAS

Answer:

sqrt 63  = sqrt9 * sqrt7

            = 3 sqrt7

Step-by-step explanation: i probally did it wrong :(

can someone please help....please & thank you.

Answers

Answer:

C

Step-by-step explanation:

Answer:

1. m<13

2. x≥1

3. p>-3

Step-by-step explanation:

1. m-7<6

Add seven to both sides

m<13

2. x+4.5≥5.5

subtract 4.5 from both sides

x≥1

3. p+12>9

subtract 12 from both sides

p>-3

What is the reference angle for the angle with measure −π4?




A 7π4

B π

C π4

D −7π4

Answers

Answer:

What is the reference angle for the angle with measure −π/4?

Answer:  n/4

pie/4

Step-by-step explanation:

I just took the test lol the other answer is wrong.

Answer:

π/4

I took the quiz

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