A group of friends goes out to lunch and decides to split the bill. Their bill is $32. 50, plus they want to leave a 20% tip. The final amount will be split 4 ways. What is the amount each person will pay? $7. 50 $8. 15 $9. 20 $9. 75.

Answers

Answer 1

Percent counts the number of a quantity compared to another quantity's 100 amount. The amount each person would pay is given by: Option D: $9. 75

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

For the given case,

Bill for lunch = $32.50

Tip  = 20% of bill = [tex]\dfrac{32.50}{100} \times 20 = \dfrac{32.50}{5} = 6.50[/tex] (in dollars)

Total amount = Bill + Tip = $39

This amount has to be divided in 4 equal part.

Thus, each part of those 4 parts would be [tex]\dfrac{39}{4} = 9.75[/tex] (in dollars).

Thus, the amount each person would pay is given by: Option D: $9. 75

Learn more about percentage here:

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Related Questions

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

17.026cm2

Step-by-step explanation

b =  P - a - c - d = 25 - 4 - 12 - 7.325 = 1.675 cm then apply formula of area of trapezoid which is: A = (a + b) * h / 2 = (4 + 1.675) * 6 / 2 = 17.026 cm2.  boom there is your answer.

PLS I WILL GIVE YOU 23 POINTS IF YOU ANSWER ME CORRECTLY

The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.

Answers

Answer:

She shaded off 1/8 of the fraction strip.

Enjoy ;)

Answer:

a  8 parts  b   8      3|4     3  × 4|4  ×  2= b  8

Step-by-step explain

-5/6,-4/3 which is greater

Answers

Answer:

-5/6

Step-by-step explanation:

To figure out which one is greater, we need to convert them so they have a common denominator:

You can do this two ways, because 6 is a multiple of 3, we can just multiply the second fraction by 2:

[tex]\frac{-4}{3} \\[/tex] x 2 = [tex]\frac{-8}{6} \\[/tex]

[tex]\frac{-5}{6}[/tex]

The second way is multiplying both the fractions so they have a common denominator.

[tex]\frac{-5}{6} = \frac{-15}{18}[/tex]

[tex]\frac{-4}{3} = \frac{-24}{18}[/tex]

Because the numbers are negative, -15 is the greater number.

Therefore, [tex]\frac{-5}{6}[/tex] is the greater fraction.

find the volume and height

Answers

Answer:

h = 11

Step-by-step explanation:

to find h

5² + h² = 12²

25 + h² = 144

h² = 144 - 25

h² = 119

h = 11

Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.
Place points on the graph to show your activity for last week and this week

Answers

Answer:

You decide that you will spend 2 times as many hours outdoors as you spend watching TV.

Let the hours spent outdoors be = o

Let the time spent on watching tv be = t

So, general equation becomes o=2to=2t

Last week, you watched 4 hours of TV. This week, you watched 8 hours of TV.

When t = 4

o = 2(4) = 8 hours

When t = 8

o = 2(8) = 16 hours

We have been asked to place points on the graph to show your activity for last week and this week.

Please find attached the points display.

hope it helps.

A slice is made perpendicular to the base of a right rectangular pyramid through the vertex. What is the area of the resulting two-dimensional cross section? Enter you answer in the box.

Answers

Area is a measure of space occupied in 2 dimensions. The area of the considered two dimensional cross section is:

[tex]\dfrac{1}{2}L.h \: \rm unit^2[/tex] (if cross section is with respect to length)[tex]\dfrac{1}{2}W.h \: \rm unit^2[/tex] (if cross section is with respect to width)[tex]\dfrac{1}{2}D.h \: \rm unit^2[/tex] (if cross section is with respect to diagonal)What is a cross section?

When some high dimensional object is sliced by hyperplane, then the area of the intersection of the hyperplane with the object is the cross-section.

For the given case, the right rectangular pyramid sliced will be having a triangle with height same as that of the pyramid but base equal to either length or the width of the base rectangle, or the diagonal.

Thus, if we consider: L = length of base, W = width of base , D = diagonal's length of the base of the rectangular pyramid, with the height h units, then we get the cross section's area as:

[tex]\dfrac{1}{2}L.h \: \rm unit^2[/tex] (if cross section is with respect to length)[tex]\dfrac{1}{2}W.h \: \rm unit^2[/tex] (if cross section is with respect to width)[tex]\dfrac{1}{2}D.h \: \rm unit^2[/tex] (if cross section is with respect to diagonal)

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Need the answer really struggling

Answers

Answer:

B and C are true.

Step-by-step explanation:

The triangle is reflected across x axis. So option 1 incorrect.It is translated 2 units to the right.B and C are correct.

Put this into Slope Intercept Form
x + 6y = –6

Answers

Answer:

[tex]y=-\frac{x}{6} -1[/tex]

Step-by-step explanation:

Hi there!

We are given the following equation:
x+6y=-6

And we want to convert it into slope-intercept form

Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept

The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients

Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side

So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y

Here is our equation again:

x+6y=-6

Start by subtracting x from both sides

x+6y=-6

-x       -x

_______________

6y=-x-6

Now divide both sides by 6

[tex]y=-\frac{x}{6} -\frac{6}{6}[/tex]
We can simplify the fractions to become:

[tex]y=-\frac{x}{6} -1[/tex]
Hope this helps!

See more on converting from standard to slope-intercept form here: https://brainly.com/question/26579052

A saleswoman earns 30% commission on all the merchandise that she sells. Last month she sold $700 worth of merchandise. How much commission (in dollars) did she earn last month?

Answers

Answer:

$210

Step-by-step explanation:

Merchandise sold = $700

Commission = 30%

30% of $700 = 0.3 x 700 = $210

Hence, the saleswoman earn $210 in commission.

[RevyBreeze]

A baker bakes muffins to sell at the local coffee shop for $3 each.
• The baker has some initial muffins ready to sell and must bake 4 more
batches of 2 muffins.
• The expression 3(4x + 24) represents the amount, in dollars, the baker earns
selling all the muffins.
How many muffins does the baker have initially?

Answers

c because i just took the test

The baker has initially made 24 muffins.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that a baker bakes muffins to sell at the local coffee shop for $3 each.

The expression that represents the money earned -

C(x) = 3(4x + 24)

In this equation : [x] represents the number of batches. Total muffins left to bake : 4[x]. Remaining muffins that were already made were are 24.

Therefore, the baker has initially made 24 muffins.

To solve more questions on functions, expressions and polynomials, visit the link below -

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#SPJ2

HELPP!!! PLSS (ill give brainlyesttt
)
12y +32 ? Select one:
1. 6(2y+8)
2. 4(3y+9)
3. 6(3y+5)
4. 4(3y+8)

Answers

Answer: 4.

Step-by-step explanation:

4(3y + 8) 4! should be your solution, hope it helps have a great day!! :)

12men can clear a field in 5 days.How long would it take 15 men to clear the same field

Answers

Answer: 4 days

Step-by-step explanation:

We can divide to find how much of a field each man can clear in one day. Since it takes 12 men 5 days to clear a field, each man can clear 1/60th of a field each day.

If we multiply 15 men by 1/60th of a field per day, we see that the 15 men can clear 1/4th of a field each day, so it would take 4 days for them to clear the entire field.

4 days.

12men x 5days = 60men

60men/15men= 4days

can someone please help me asap, thank youu!!!

Answers

Answer:

2

Step-by-step explanation:

Apply Difference of Two Squares formula: [tex]\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]:

[tex]\implies (3+\sqrt{7} )(3-\sqrt{7} )=3^2-(\sqrt{7} )^2[/tex]

                                   [tex]=9 - 7[/tex]

                                   [tex]=2[/tex]

Which statement correctly describe the data shown in the scatter plot?


The scatter plot shows a negative association.

The point (2, 14) is an outlier.

The scatter plot shows a linear association.

The scatter plot shows no association.
A graph measuring variable y in relation to variable x. Multiple coordinates indicate a pattern of variable y increasing as variable x increases

Answers

Answer:

Hello!  I wanted to explain the answer which someone might have already answered..  First off, I want to let you know that the Answer is "The scatter plot shows a linear association."  But how?  Well, linear means: "arranged in or extending along a straight or nearly straight line." Which if you didn't notice.. All the points on the graph, make up a generally straight line.

"No association" means there is no line or association with any of the points.  So, you'd pick that if the points were all over the graph in no order, line or combination; which isn't the case.  

"Negative association" is when the top of the points come from the left of the graph lowering into the right. While Positive association would be from right to left.  So, it couldn't be choice "Negative Association" since it's coming from right to the left of the graph.

"The point  (2, 14) is an outlier."  If you didn't know, an outlier is one dot out of a whole group.  Think of it as if EVERYONE was wearing pink except one; who wore black.  It's just the out of placed kind of dot; but it's supposed to be there.  When you look at the graph, there is no dot or outlier at point (2,14) so, that's automatically out as well.

Ending with the last choice "The scatter plot shows a linear association." which is not just true but is the only one that'd make since.  So, I hope this helped you!

I HOPE THIS HELPS YOU! BE SAFE :)

Answer:

The scatter plot shows a linear association

Step-by-step explanation:

credit goes to ssanc053

Can the sides of a triangle have lengths 5, 14, and 19?

Answers

Answer:

No

Step-by-step explanation:

Add two sides together and see if it is greater than the third. (You have to do this with all possible combinations)

5 + 14 > 19

19 > 19

No, it isn't a triangle

14 + 19 > 5

23 > 5

19 + 5 > 14

24 > 14

· Amani and Danielle are buying hair spray. They can buy 4 bottles of Rave and 5 bottles of Max for $30.00, or
they can by 1 bottle of Rave and 1 bottle of Max for $6.50. If r is the cost of a bottle of Rave and m is the cost
Fa bottle of Max, how much does each bottle of hair spray cost?

Answers

Answer:

3.25, I don't know,  I'm in like 1st grade

Step-by-step explanation:

please help i’ll give brainlist to anyone

Answers

Answer:

well i cant really tell so much though

Step-by-step explanation:

I need help. I will give 15 points for the answer

Answers

a) Both have the same angles inside
b) AC=9
(6 • 3 = 18
? • 3 = 27
? = 9

?

m∠ABD = m∠ABC
AB ≅ BC
B is the midpoint of DC.
m∠DBC = 90°

Answers

Answer:

50*

Step-by-step explanation:

Solve the problems involving slope.
1. Based on the graph, what is the slope
of the line?
y = 2x - 3

Answers

The slope is m = 2
“M” means slope
When you see a number in front of “x” that’s the slope in that case.

Sean is filling his truck with gasoline. He knows the total cost, C, will be proportional to the
number of gallons of gasoline, g, that he puts into the gas tank. After putting 8.5 gallons in
.
the tank, the cost is $23.63.
(a) Find the ratio of the cost to the gallons as
(b) What is the real world meaning of your
a unit rate. Show the division as a fraction answer in (a)?
and then state the answer with appropriate
units.
(c) If c is the cost and g is the number of
gallons bought, write a proportion
involving c and g and then solve it for c.
(d) If Sean puts 17 gallons of gasoline into
his truck, what is his cost? Justify.

Answers

Part (a)

Divide the total cost over the number of gallons to get the unit cost

(23.63)/(8.5) = 2.78

Answer:  2.78

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

Part (b)

The result of the previous part indicates the gas costs $2.78 per gallon.

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

Part (c)

c = cost in dollars

g = number of gallons bought

cost/gallons = cost/gallons

c/g = (23.78)/(8.5)

c/g = 2.78

c = 2.78g

This fits with what part (b) mentioned. The 2.78g means "2.78 times g".

Answer:  c = 2.78g

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

Part (d)

Plug g = 17 into the equation found in part (c)

c = 2.78g

c = 2.78*17

c = 47.26

Answer:  $47.26

Write the quadratic equation in standard form:
20-2x^2-5x=4

Answers

Answer: -2x^2 - 5x + 16 = 0

The correct answer is -2x^2 - 5x + 16 = 0.

Step-by-step explanation:

Hope this helps =)

math problem can someone help me I'm having trouble with this someone tell me

Answers

Answer:

x-3

Step-by-step explanation:

x (x-3) (x^2-3x+4)

ㅇㅇㅇㅇㅇㅇ

What is the perimeter of a square who’s sides are ten units long?

Answers

Answer:

40 units

Step-by-step explanation:

The formula for the perimeter of a square is P= 4s

s= 10 units

so P= 4 x 10

so P= 40 unites

Answer:

Perimeter=40 units

Step-by-step explanation:

[tex]Solution,\\\\Length(l)=10units\\\\Now,\\\\Perimeter=4l\\\\Perimeter=4*10units\\\\Perimeter=40units[/tex]

PLEASE HELP OMG THIS IS SO HARD

Answers

It should just be y = 40x :)

What is the mean of the group of numbers? 5, 8, 11, 12, 18, 0

Answers

Answer:

9

Step-by-step explanation:

The mean is calculated by adding up the scores and dividing the total by the number of scores.

Mika buys a dress for $43 that was
marked down from $68. What is the
percent discount off the original price?
A 25%
B. 37%
C. 58%
D. 63%

Answers

Answer 63%

Step-by-step explanation: before was 43 and now its 68 so i divided 43/68 and i got 0.6323 and that is about 63% and those are the answer choices so thats correct

Identify the shapes, using the names studied in this lesson

Answers

Answer: Rhombus

Step-by-step explanation:

It is a rhombus because all sides are equal and opposite sides are parallel.

Answer:

parallelogram

Step-by-step explanation:

Because the sides are parallel to each other.

MULTIPLE CHOICE QUESTION
ers
What is 0.25 as a fraction?

Answers

Answer:

1/4

Explanation: 0.25 multiplied by 4 is 1. This shows that 0.25 is 1/4 of 1

can you simplify 5+3 (5) + (-4) (5)

Answers

Hello There, today we will solve your problem

Definitions

simplify - maths to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etc.

______________

PEMDAS RULEP - ParenthesesE - ExponentsM - MultiplicationD - DivisionA - AdditionS - Subtraction

______________

[tex]\huge\red{\mid{\underline{\overline{\textbf{EQUATION}}}\mid}}[/tex]

[tex]5+3 (5) + (-4) (5)[/tex]

Follow our PEMDAS rule

[tex]5+3 (5) + (-4) (5)\\5+15-4\cdot5\\5+15-20\\20-20\\0[/tex]

[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]

[tex]5+3 (5) + (-4) (5)\:\:\:\:simplified\:=0[/tex]

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