A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 times Kelly’s. If the total bill is $114.00, how much does each person owe?

Answers

Answer 1

Answer:

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

Step-by-step explanation:

Let

Kelly's portion = x

Greg's portion = 2x

Joe's portion = 4x - 1.50

Total bill = $114.00

Total bill = Kelly's portion + Greg's portion + Joe's portion

114 = x + 2x + (4x - 1.50)

114 = 3x + 4x - 1.50

114 = 7x - 1.50

Add 1.50 to both sides

114 + 1.50 = 7x - 1.50 + 1.50

115.5 = 7x

Divide both sides by 7

x = 115.5 / 7

= 16.5

x = $16.5

Kelly's portion = x

x = $16.5

Greg's portion = 2x

= 2 × 16.5

= $33

Joe's portion = 4x - 1.50

= 4(16.5) - 1.50

= 66 - 1.50

= $64.5

Therefore,

Kelly owes $16.5

Greg owes $33

Joe owes $64.5


Related Questions

The number 480 was changed to 4.8 times a

Answers

Answer:

100

Step-by-step explanation:

480/4.8=100

4.8x100=480

Write an expression to represent the perimeter of the triangle below in simplest form

Answers

Answer:

Perimeter of the given triangle = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Step-by-step explanation:

Perimeter of a polygon = Sum of the measures of all sides of the polygon

From the picture attached,

Perimeter of the given isosceles triangle = Measures of two equal sides + remaining side

P = [tex]2(\frac{3}{x+8})+\frac{x}{x+5}[/tex]

  = [tex]\frac{6}{(x+8)}+\frac{x}{(x+5)}[/tex]

  = [tex]\frac{6(x+5)+(x+8)}{(x+8)(x+5)}[/tex]

  = [tex]\frac{6x+30+x+8}{(x+8)(x+5)}[/tex]

  = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Therefore, perimeter of the given triangle is [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Algebra 1 9th grade
-2x=-18/3​

Answers

You would just decide both sides by 2.

-x = -9/3 ⇨ -3
Since both numbers are negative, the product becomes a positive.
x=3

Hope this helped!

Tier: Homework 1
Solve 2(4y - 5) = 14 983

Answers

Answer:

y = 1874.25

Step-by-step explanation:

2(4y - 5) = 14 983

2*4y + 2*-5 = 14983

8y - 10 = 14983

8y = 14983 + 10

8y = 14993

y = 14993/8

y = 1874.25

Answer:

Step-by-step explanation:

2(4y - 5) = 14

8y - 10 = 14

8y = 24

y = 3

Which point represents the approximate location of 28?
A) point A
B) point B
C) point C
D) point D

Answers

Answer:

a.

Step-by-step explanation:

It appears to be increasing in increments of ten

Answer this: A) point A

what fraction is bigger? 3/7 or 5/12. let me know the method.

Answers

Answer:

3/7

Step-by-step explanation:

3/7 5/12

36/84   35/84

If f(x) = 5 - 2x, find f(-15)

Answers

Answer: 35

Please give me Brainliest

What is the equation of the line

Answers

The equation of the line is y = (1/2)x + 2

2. The table shows the amount
spent on tomatoes at three different stands
at a farmer's market. Which stand sold their
tomatoes at the least
expensive price per
pound, and what is that price? Round to the
nearest cent, if necessary. (Lesson 1)
Stand
Weight (lb)
Cost ($)
A
3
4
2.00
B
mit - ab
3.45
с
14.85

Answers

I think the answer might be B

I’m so confused what it is asking? (see the attached image)

Answers

Answer:

sole it

the(<) it wants you to figure out each side and put the inequality in between what you get

16+24/8-6 is equal to________

Answers

Answer: The answer is 28. Hope this helps:)

Answer:

-1

hope this helps

plz mark brainleist

Find the value of x of this triangle.​

Answers

Answer:

12x

Step-by-step explanation:

Answer: x = 35°

Step-by-step explanation:

A triangle adds up to 180°. Therefore, the equation to find the value of x is 110+2x = 180.Subtract 110 on both sides. 2x = 70Divide by 2 on both sides. x = 35°

Which expression represents the prime factorization of 450? A. 2 x 3 x 5 x 5 B. 2 x 2 x 5 x 5 C. 2 x 3 x 3 x 5 x 5 D. 2 x 2 x 3 x 5 x 5

Answers

Answer:

c

Step-by-step explanation:

The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.

It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

The given number is as follows:

450

We need to write 450 as the product of its prime factors, which is 450.

⇒ 450 = 2 x 3 x 3 x 5 x 5

Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.

Therefore, the correct answer is option C.

Learn more about Prime Factorization here:

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The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.

Answers

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.

The perimeter of a rectangle is twice its length added to twice its width.

[tex]2l+2w=22[/tex]

The length is 3 more than the width:

[tex]l = w+3[/tex]

We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].

[tex]2(w+3) + 2w = 22[/tex]

Distribute the first terms:

[tex]2w+6+2w=22[/tex]

Combine like terms:

[tex]4w+6=22[/tex]

Subtract 6 from both sides:

[tex]4w=16[/tex]

Divide both sides by 4:

[tex]w = 4[/tex]

Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].

[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]

Hope this helped!

Answer:

What the other guy said XDDDDDDDDDD

Step-by-step explanation:

I'm awesome =D

You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $2.79 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.19 a pound. Is it worth the extra drive?

Answers

No, you have to think about gas, if it’s a across from town your gas will run out and it will cost about 20 dollars plus that 2.79.

Please help! This is due at 11:59pm (the problem is stated in the photo)

Answers

Answer:

y=-5x

Step-by-step explanation:

this is because slope intercept form is y=mx+b

if m= -5 and b=0 the answer would be

y=-5x+0

simplified it would be

y=-5x

Y=-5x , that is the answer for your problem

Find all points on the curve x=4cos(t),y=4sin(t) that have the slope of 12.

Answers

Answer:

[tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Step-by-step explanation:

We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.

[tex]x=4cos (t)[/tex]

[tex]\dfrac{dx}{dt}=-4sin (t)[/tex]

[tex]y=4sin (t)[/tex]

[tex]\dfrac{dy}{dt}=4cos (t)[/tex]

Now,

[tex]\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}[/tex]

[tex]\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}[/tex]

[tex]\dfrac{dy}{dx}=-\cot t[/tex]

So, slope of the curve is [tex]-\cot t[/tex].

[tex]-\cot t=\dfrac{1}{2}[/tex]

[tex]-\tan t=2[/tex]

[tex]\tan t=-2[/tex]            ...(1)

Using [tex]\sec^2t=1+\tan^2t[/tex], we get

[tex]\sec^2t=1+(-2)^2[/tex]

[tex]\sec^2t=1+4[/tex]

[tex]\sec t=\pm \sqrt{5}[/tex]

[tex]\cos t=\pm \dfrac{1}{\sqrt{5}}[/tex]

Now,

[tex]\sin^2t=1-cos^2t[/tex]

[tex]\sin t=\pm \sqrt{1-\dfrac{1}{5}}[/tex]

[tex]\sin t=\pm \sqrt{\dfrac{4}{5}}[/tex]

[tex]\sin t=\pm \dfrac{2}{\sqrt{5}}[/tex]

It equation (1), tan(t) is negative. So, sin and cos have different signs.

If [tex]\sin t= \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t=- \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=-\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=\dfrac{8}{\sqrt{5}}[/tex]

If [tex]\sin t=- \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t= \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=-\dfrac{8}{\sqrt{5}}[/tex]

Therefore, the two points are [tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Identify the conclusion of the statement.
If a line is vertical, then the slope of the line is undefined.
A)
a line is vertical
B)
a line is horizontal
C)
the slope of the line is zero
D)
the slope of the line is undefined

Answers

Answer:

D) The slope of the line is undefined

Step-by-step explanation:

A vertical line will have an undefined slope, because it does not run horizontally.

To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.

And, dividing anything by 0 will get you an undefined answer.

So, D is correct. the slope of the line is undefined

Answer:

the slope of the line is undefined

Step-by-step explanation:

i just took test

math 3- Piecewise defined function

Answers

Step-by-step explanation:

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

Torque is described as T = r * F, where r = radius which is measured in feet from the fulcrum point and F = Force which is measured in pounds. What is a possible unit measure for Torque?

Answers

Answer:

(pound-feet)

Step-by-step explanation:

Given that:

Torque = r × F

Where ; r = radius in feet ; F = force in pounds

Hence, a possible unit measure of torque using the units provided for both force and Radius will be :

r (feet) × F (pounds) = Torque (pound-feet)

Hence, the possible unit of measure of torque = (pound-feet)

Other unit measure may be :

r (metres) × F(Newton) = Torque (newton-metre)

Jared spent 8 hours at his factory job last Monday. Two-thirds of the
time, he worked on the Flex Line assembling air conditioners. How
much time did he end up working on the Flex Line?

Answers

Answer:

Jared worked 5.3 hours working on the Flex Line

Step-by-step explanation:

Jared spent 5 hours and 36 minutes on Flex line.

What is work done ?

Work done is product of time taken and rate of work.

when the amount of work done is constant the more efficient a person is the lesser time it will require to complete the work this is also known as inverse proportion.

In the given question

Total hours of work done by Jared is 8 hours.

2/3rd of the time he spent on Flex line

2/3rd of 8 hours is

(2/3) × 8

= 16/3

= 5.3 hours or 5 hours and 36 minutes.                                      (3×12)

Learn more about Man Day Work here :

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any actives ???can y’all please help me

Answers

Answer:

The right answer is B.

Step-by-step explanation:

because u are solving for y which makes u subtract.

Given: 2x/4 = 5x+8/2 Prove: X =-2

Answers

i believe you plug in -2 for both x's and you should get -1=-1

Round to the number of decimal places stated in bracket.
2.374 [2]

Answers

Answer:

2.37

I hope this helps, also next time make sure your question makes sense

You are working hard at the local grocery store each weekend. You have decided to put your money in a compound interest bearing account earning 4% per year. How many years would you estimate that it would take for you to double your money

Answers

Answer:

The answer would be 18 years

Step-by-step explanation:

hope this helps:)

Help!!!!!! Put the circle with the greatest area on top. circumference = 30 diameter = 3 radius = 10

Answers

radius=10 is the largest

then the circumference=30

and the smallest circle is radius=3

Answer:

10 , 30 , 3

Step-by-step explanation:

Your radius: 10 is the greatest

The circumference is 30 that came from 10 x 3( diameter x radius)

and the diameter is 3 which is the smallest

Solve for the following variable(show your work).

Answers

Answer:

5) x=3 6) x=9 7) x=12 8) x=9

Step-by-step explanation:

(-7)-(-2)
what is negative 7 minus negative 2

Answers

Answer:

is -5.

Step-by-step explanation:

add 2 to -7

Answer:

-5

Step-by-step explanation:

A negative minus a negative will also result in a negative. Subtracting regularly and adding a negative symbol will give you your'e answer.

Find the inverse of f(x)=(1/3x)-7 Please show the steps.

Answers

Answer:

[tex]y = 3(x +21)[/tex]

Step-by-step explanation:

Find the inverse this equation:

[tex]f(x) = (\frac{1}{3}x) - 7[/tex]

-Take the variable [tex]y[/tex] for [tex]f(x)[/tex], because both

[tex]y = (\frac{1}{3}x) - 7[/tex]

-Switch both variable [tex]x[/tex] and [tex]y[/tex] :

[tex]y = (\frac{1}{3}x) - 7[/tex]

[tex]x = (\frac{1}{3}y) - 7[/tex]

-Solve for [tex]y[/tex] :

[tex]x = (\frac{1}{3}y) - 7[/tex]

-Switch sides:

[tex]\frac{1}{3}y - 7 = x[/tex]

-Add both side of the equation by [tex]7[/tex] :

[tex]\frac{1}{3}y - 7 + 7 = x + 7[/tex]

[tex]\frac{1}{3}y = x + 7[/tex]

-Multiply both sides by [tex]3[/tex] :

[tex]\frac{\frac{1}{3}y}{\frac{1}{3} } = \frac{x + 7}{\frac{1}{3} }[/tex]

[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]

-Divide [tex]x + 7[/tex] by multiplying by [tex]\frac{1}{3}[/tex]

[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]

[tex]y = 3(x +21)[/tex]

Therefore, the answer is [tex]y = 3(x +21)[/tex].

Hanson has 38 pieces of candy. He gives away c of the pieces. Write an expression that
shows the number of pieces of candy Hanson has left.

Answers

Answer:

38-c

Step-by-step explanation:

We know that the answer is 38-c because any piece of candy that Hanson gives away will be subtracted from the amount that he started out with.

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