Mary, Josephine, Quinn, Taylor, Max, and Taylor went out to lunch and the total bill was $72. Mary puts in $20 , and Josephine puts in $12. The rest of the group splits the bill equally. Which equation and solution represent the amount a that each of the remaining people pay?

Answers

Answer 1

Answer:

i. The equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]

ii. Remaining people would pay $10 each.

Step-by-step explanation:

Total number of people involved = 6

Total bill of their lunch = $72

Mary and Josephine paid = $20 + $12

                              = $32

The remaining bill to be paid = $72 - $32

                              = $40

The rest of the group = 4

Splitting the remaining bill equally,

the equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]

                                     =  ($40) ÷ 4

                                     = $[tex]\frac{40}{4}[/tex]

                                    = $10

The amount that each of the remaining people would pay is $10.


Related Questions

у = - 2х
y = 8x — 10

Answers

Answer:

(1,-2)

Step-by-step explanation:

The pic above the answer is how I got my answer. if you need to show your work you can use that

Leslie has a box of markers. There are 3 black,
4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5
green markers. Create a sample space of possible
outcomes for choosing a marker. Is this a simple or compound event?

Answers

Answer:

Sample space: {Black, Red, Blue, Brown, Purple, Yellow, Green}

Simple event

Step-by-step explanation:

Sample space is a list of all the possible outcomes.

This is a simple event because you are only doing one event, such as choosing marbles from a bag.

A compound event would be multiple simple events, such as flipping a coin and rolling a dice.

if a mom has 6 kids and i kidnapped 2 how many kids does she have left? ;) just asking

Answers

Answer:

what if i took the 4 other ones??

Answer:

4 kids

Step-by-step explanation:

6 minus 2 equals 4. it one easy qusation

what is 2y-x=-4 in slope intercept form

Answers

Answer:

y= -1/2x - 2

Step-by-step explanation:

To change standard form to slope intercept form, bring the -x to the other side of the equation.

You'll have 2y=-4-x. Since there is no number on the -x, put a 1 on the front of it. (Not necessary). You'll have 2y= -4 -1x

Make y stand on its own. Divide the other side by 2.

You will end up with y= -1/2x -2

Marcus has 3/4 of and 8-piece pizza left over from last night. He eats 1/3 of the left over pizza for a snack. How much of the original pizza is left after his snack?​

Answers

Answer:

1/3 of the pizza remains.

Step-by-step explanation:

Matthew eats 1/3 of 1/2 of the pizza, which is (1/3)*(1/2) = 1/6 of the pizza.  The amount of pizza left is

1/2 - 1/6 = 3/6 - 1/6 = 2/6 = 1/3

1/3 of the pizza remains.

helppp ! please and thank you

Answers

Answer:

1/16 hope this helps you

see the image attached

What is the volume of a cylinder,in cubic feet,with a high of 5 feet in a base diameter of 10 feet?Round to the nearest tenth place

Answers

Answer:

390.7ft³ is the answer

The triangle shown has an area of 32.5 square centimeters. Find the measure of the base (segment XY)

Answers

Answer:

XY = 13 cm

Step-by-step explanation:

Area of a triangle formula:

area = base × height / 2

a = bh / 2

Plug numbers into equation:

32.5 = b × 5 / 2

Multiply both sides by 2 to isolate the variable

65 = b × 5

Divide both sides by 5 to isolate the variable

13 = b

Check your work:

32.5 = 13 × 5 / 2

32.5 = 65 / 2

32.5 = 32.5

Correct

Answer:

13

Step-by-step explanation:

Area=½×b×h

32.5=½×b×5

32.5=5/2b

To get be multiply each side by reciprocal of 5/2 which is 2/5

b =13

Chapter 7 need help ASAP

Answers

Answer:

The answer should be that Q is (-3,-2)

Step-by-step explanation:

15 of 20 answer
You and your friend fill 20 bags with leaves. The ratio of bags you filled to bags your friend filled is 2 to 3. Use the tape diagram to find how many bags
you filled
You
Your friend
You filled
bags

Answers

Answer:

8 bags

Step-by-step explanation:

You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.

An item is regularly priced at $30. It is now priced at a discount of 30% off the regular price. What is the price now?

Answers

The price of the item will be 21$

y = 100 - 8.9x percent

Answers

I’m not sure on this question but if you plug it into the calculator it says it is X = 1123.59551

If ε = {whole numbers less than 50 but greater than 20} and X = {perfect squares}, Y = {factors of 12}, Z = {prime numbers}; find the following:
a) X ∪ Y
b) X ∩ Y
c) X ′
d) X′ ∩ Y ∩ Z

Answers

Answer:

A. X∪Y = {25, 36, 49}

B. X∩Y = ∅ i.e empty set

C. X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. X′∩Y∩Z = ∅

Step-by-step explanation:

We'll begin by determining the universal set (ε), set X, set Y and set Z.

This can be obtained as follow:

ε = {whole numbers less than 50 but greater than 20}

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {perfect squares}

X = {25, 36, 49}

Y = {factors of 12}

Y = ∅ i.e empty

Z = {prime numbers}

Z = {23, 29, 31, 37, 41, 43, 47}

A. Determination of X∪Y

X = {25, 36, 49}

Y = ∅

X∪Y =?

X∪Y => combination of elements in set X and Y without repeating any element in both X and Y.

X∪Y = {25, 36, 49}

B. Determination of X∩Y

X = {25, 36, 49}

Y = ∅

X∩Y =?

X∩Y => elements common to both set X and Y

X∩Y = ∅ i.e empty

C. Determination of X′

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {25, 36, 49}

X' =?

X' => elements in the universal set but not found in set X.

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. Determination of X′∩Y∩Z

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

Y = ∅

Z = {23, 29, 31, 37, 41, 43, 47}

X′∩Y∩Z =?

X′∩Y∩Z => elements common to set X', Y and Z

X′∩Y∩Z = ∅

Natalie had 20 lbs. of cat food. If she feeds
her cat 6 of a pound daily, how many days
will the food she has last?

Answers

Answer:

3 days

Step-by-step explanation:

20/6 is 3.333

Answer:

3 days

Step-by-step explanation:

cuz after three days you will have two pounds left so you cant go another day

2/5p-3.11=1.13
what is p

Answers

2p-4+16=5p-9

-3p-4+16=-9

-3p-4=16+-9

And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.

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HURRY NEED HELP ASAP


The following information is known about a loan.

Time = 8 years
Interest rate = 14%
Principal = $1,010

What is the total amount of simple interest that is earned?
$113.20
$1,131.20
$11,311.20
$113,112.00

Answers

I=p*r*t
The answer is 1131.20

Answer:

1,131.20

Step-by-step explanation:

I=prt

1,010*0.14*8

PLEASE I NEED URGENT HELP!!!!! lan and Jessica each save their quarters. Ian starts out with 34 quarters and saves 8 quarters a month. Jessica starts out with 2 quarters and saves 16 quarters a month. In how many months will Jessica have the same number of quarters as lan? How many quarters will each of them have?

Answers

4 months. Each will have 66 quarters.
34+8+8+8+8= 66
2+16+16+16+16= 66

The average temperatures for two of the world's hottest places are given. Determine which location has the warmer average temperature and by how many degrees fahrenheit. Location A: 86.7 F and Location B: 30.1 C

Answers

Answer: City A, [tex]0.28^{\circ}C[/tex]

Step-by-step explanation:

Given

The temperature of city A is [tex]86.7\ ^{\circ}F[/tex]

The temperature of city B is [tex]30.1^{\circ}C[/tex]

We know, [tex]32^{\circ}F=0^{\circ}C[/tex]

So, [tex]86.7^{\circ}F=30.38^{\circ}C[/tex]

[tex]30.38>30.1[/tex]

Clearly, the average temperature of city A is more than city B

The difference in temperature is [tex]30.38-30.1=0.28^{\circ}C[/tex]

Plz help I am bad at this

Answers

your answer is either A or D

Alexa is driving on the freeway. She passed mile marker 400. The fastest she will drive is 65 mph, though there is a bit of traffic that might slow her down a bit, but she doesn't know exactly how much. The mile markers are increasing on her route. Write an equality that represents alexa’s speed

Answers

Answer:

she might go 50mph

Step-by-step explanation:

Find the value of x. Round to the nearest tenth of a unit. 203 m 22° O A. 82.0 m O B. 218.9 m O C. 502.4 m O D. 541.9 m​

Answers

Answer:  502.4 m

Step-by-step exp

Answer: C or 502.04

Step-by-step explanation: took the practice got 100%

HELPEOEODODOEKEKEL PLEASE

Answers

Answer:

Lily earns $225

y represents the amount that Lily earns

x represents the painting's price

Step-by-step explanation:

2.3
Write the ratio in its simplest form:
Convert
2 m : 8cm: 40mm​

Answers

Answer:

1:20:500

Step-by-step explanation:

2m:8cm:4mm

Convert the three to a single unit, take mm giving 2000:80:4

In its simplest form 500:20:1=1:20:500

eu preciso de ajuda pfvr:(

Answers

I’m not a true percent sure but I think it’s C

Evaluate ba+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a mixed number in simplest form.

Answers

Answer:

-117/640

Step-by-step explanation:

ba + cd

b= -7/16

a= 7/8

c= 08.(4/5)

d= 1/4

Hence it can be calculated as follows

-7/16×7/8 + 4/5×1/4

-49/128 + 1/5

-246+128/640

= -117/640

Answer: -2 11/20

Step-by-step explanation I did this and it is correct

A triangle has vertices on a coordinate grid at L(9,7)L(9,7), M(9,-8)M(9,−8), and N(1,7).N(1,7). What is the length, in units, of \overline{LM} LM ?

Answers

Answer:

LM = 15 units

Step-by-step explanation:

Vertices of ΔLMN are,

L(9, 7), M(9, -8), N(1, 7)

By using formula to get the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, distance between vertices L and M,

LM = [tex]\sqrt{(9-9)^2+(7+8)^2}[/tex]

LM = 15 units

The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. What is the largest a bedroom can be and be among the smallest 25% of bedrooms in a home?

Answers

Answer:

197.095

Step-by-step explanation:

Mean, m = 219 ft²

Standard deviation, s = 32.5 ft²

For a bedroom to be among the smallest 25%

P(x < Z) = 0.25

From Z probability calculator, this corresponds to a Zscore of - 0.674

Recall :

Zscore = (x - m) / s

x = bedroom size

-0.674 = (x - 219) / 32.5

-0.674 * 32.5 = x - 219

-21.905 = x - 219

x = - 21.905 + 219

x = 197.095

Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095

What is the closure property of multiplication for rational
expressions? Explain why rational expressions are
closed under multiplication.

Answers

Answer:

Sample Response: The closure property of multiplication for rational expressions states that the product of two rational expressions is a rational expression. Since the variable in a rational expression just represents a number, and the closure property holds true for multiplication of rational numbers, it also holds true for multiplication of rational expressions for values for which the expressions are defined.

Step-by-step explanation:

Find the area of the following trapezoid.
14
7
5

Answers

Answer:

option b 66.5u square is the correct ans

What is the area of this composite figure??

Answers

Answer=53

Step-by-step explanation:

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