A caterer is preparing a dinner for a party. Shecharges an initial fee of $16 and $8.25 per person. How manypeople can attend a dinner that costs $131. 50? Write an equationand solve.

Answers

Answer 1

Answer:

The nomber of people can attend a dinner that costs $131. 50 is 14.

Step-by-step explanation:

With the information provided, it can be said that the total cost of a dinner would be equal to the initial fee plus the result of multiplying the price per person for the number of people, which can be expressed as:

c=16+8.25x, where:

c is the total cost of he dinner

x is the number of people

Now, you can replace c with 131.50 that is the cost of a dinner and solve for x to find the number of people that can attend:

131.50=16+8.25x

131.50-16=8.25x

115.50=8.25x

x=115.50/8.25

x=14

According to this, the answer is that the nomber of people can attend a dinner that costs $131.50 is 14.


Related Questions

What is the product of (2p + 7)(3p2 + 4p – 3)?
A.6p3 + 29p2 – 34p + 21
B.6p3 + 29p2 – 22p + 21
C.6p3 + 29p2 + 22p – 21
D.6p3 + 29p2 + 34p – 21

Answers

distribution property
6p^3 + 8p^2 + 6p + 21p^2 + 28p - 21
=6p^3+29p^2+34p-21
last option

Answer:

C

Step-by-step explanation:

6p3 + 8p2 - 6p + 21p2 +28p -21

6p3 + 29p2 + 22p - 21

Solve for kkk. \dfrac{3}{k} = \dfrac{4}{5} k 3 ​ = 5 4 ​ start fraction, 3, divided by, k, end fraction, equals, start fraction, 4, divided by, 5, end fraction k =k=

Answers

Answer: [tex]\dfrac{15}{4}[/tex]

Step-by-step explanation:

Given

[tex]\Rightarrow \dfrac{3}{k}=\dfrac{4}{5}[/tex]

Apply cross-multiplication

[tex]\Rightarrow K=3\times \dfrac{5}{4}=\dfrac{15}{4}\\\\\Rightarrow k=3\ \dfrac{3}{4}[/tex]

The value of k is [tex]\dfrac{15}{4}\ \text{or}\ 3\ \dfrac{3}{4}[/tex]

Answer:

15/4

Step-by-step explanation:


[tex] 25x { }^{2} + (5x - 3)(2x + 7) - 9[/tex]

Answers

Step-by-step explanation:

[tex]5x - 3 \times 7x + 10[/tex]

Answer:

35x² + 29x - 30

Step-by-step explanation:

Given

25x² + (5x - 3)(2x + 7) - 9 ← expand factors using FOIL

= 25x² + 10x² + 29x - 21 - 9 ← collect like terms

= 35x² + 29x - 30

What is the equation of the line through (2, –4) and (0, 4)?A.y = 4x – 4B.y = 4x + 4C.y = –4x + 4D.y = –4x – 4SUBMITarrow_backPREVIOUS

Answers

Answer:

C

Step-by-step explanation:

I did this by graphing the points on paper and then forming an equation from there. Another way is to do to slope equation. The slope equation is: [tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex], so you would just fill it in here. (4+4) (I did PLUS since subtracting a negative is adding a postive number). This equals 8. (0-2) is -2, so 8/-2 is -4x. For the y-intercept, it is already shown in the equation. This is 4 because if x is 0, then that is the y-intercept. So: y=-4x+4.

b. If 3x - 3 and 5x + 7° are the angle of a linear pair, find their measurement the angle

Answers

Answer:

x = 22°

the angles are: 63° and 117°

Step-by-step explanation:

a linear pair of angles total together to be 180°

so:

3x - 3 + 5x + 7 = 180

combune like terms:

8x = 176

divide both sides of the equation by 8:

x = 22°

the angles are: 63° and 117°

Find the measure of the exterior angle. *

Answers

51+2x+x=180
3x=180-51
3x=129
x=129/3
x=43 degrees

5 - Numbers from 1 to 50 are written on a piece of paper and dropped into a box. A paper is chosen at random
What is the probability of getting a number less than 19? (whole percentage)
%

Answers

Answer:

1 out of a 50% chance

Step-by-step explanation:

hope it helps

(-7,-5) lies in which of the following quadrants [ ]

a) Q1 b) Q2 C) Q3 d) Q4​

Answers

Answer:

C) Q3

Step-by-step explanation:

Starting from the origin, go along the x-axis in a negative direction (left) and along the y-axis in a negative direction (down).

If 40% of a number is 112 and 95% of the same number is 266, find 55% of that number.

Answers

Answer:

154

Step-by-step explanation:

.4 x 112 = 280

.95 x 266 = 280

.55 x 280 = 154

ill give u crown thingy

Answers

-5/19 is negative
Which of the results are negative
Remember (-) * (-) = (+)

Solution: B, D, E

60 people were asked if they prefer to go on holiday in Britain or in spain

Answers

A circuit contains two batteries, each of negligible internal resistance, and two resistors as shown. The galvanometer has a current reading of zero. What is the electromotive force of battery x?

m/j 2019 12 9702

Mark rides his bike from his house to the closest edge of the park, across the length of the park, and then back home. The distance from his house to the closest edge of the park is 0.9 km and the distance from the far side of the park to his house is 1.6 km. The map shows the path Mark took on his bike. If ∠B = 85° on the map, then use the law of cosines to determine the length of the park in kilometers.

Answers

Answer:

The length of the park is approximately 1.77 kilometers

Step-by-step explanation:

The law of cosines is most appropriate when the measures of two sides and the included angle formed n=by the path of motion is known

The given parameters of the question are;

The distance from Mark's house to the edge of the park, a = 0.9 km

The distance from the far side of the park to Mark's house, c = 1.6 km

Whereby the included angle between lines, 'a' and 'c' is the ∠B = 85°, by cosine rule, we have;

b² = a² + c² - 2·a·c·cos(B)

Where;

b = The length of the park in kilometers

By plugging in the known values of 'a', 'b', and 'c', we get;

b² = 0.9² + 1.6² - 2 × 0.9 × 1.6 × cos(85°) ≈ 3.11899146089

∴ b = √(3.11899146089) ≈ 1.76606666377

Therefore, the length of the park, b ≈ 1.77 km.

Sam went to the store to buy some supplies for school. He bought a binder that cost $6.50 and packages of filler paper that cost $1.25 each. If Sam spent a total of $11.50, how many packages of filler paper did he buy? LET p = the number of packages of filler paper

Answers

Answer:

4 packages

Step-by-step explanation:

Hi,

1.25x + 6.50 = 11.50

1.25x = 5

x = 4

He bought 4 packages.

I hope this helps :)

Describe lengths of three segments that could not be used to form a triangle. Segments with lengths of 5 in., 5 in., and ______ in. Cannot form a triangle.

Answers

Answer:

[tex]c = 11[/tex]

Step-by-step explanation:

Given

Let the three sides be a, b and c

Such that:

[tex]a = b= 5[/tex]

Required

Find c such that a, b and c do not form a triangle

To do this, we make use of the following triangle inequality theorem

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

To get a valid triangle, the above inequalities must be true.

To get an invalid triangle, at least one must not be true.

Substitute: [tex]a = b= 5[/tex]

[tex]5 + 5 > c[/tex] [tex]===>[/tex] [tex]10 > c[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

[tex]5 + c > 5[/tex]  [tex]===>[/tex] [tex]c > 5 - 5[/tex] [tex]===>[/tex] [tex]c > 0[/tex]

The results of the inequality is: [tex]10 > c[/tex] and [tex]c > 0[/tex]

Rewrite as: [tex]c > 0[/tex] and [tex]c < 10[/tex]

[tex]0 < c < 10[/tex]

This means that, the values of c that make a valid triangle are 1 to 9 (inclusive)

Any value outside this range, cannot form a triangle

So, we can say:

[tex]c = 11[/tex], since no options are given

The circle below has center Z. Suppose that m XY = 122°. Find the following.

Answers

Answer:

m∠XZY = 122°

m∠XWY = 61°

Step-by-step explanation:

From the picture attached,

A circle has been given with center as Z.

∠XZY is a central angles subtended by the arc XY,

Therefore, measure of angle XZY will be equal to measure of ∠XZY.

m(∠XZY) = m(arc XY) = 122°

By another property of the circle,

"Inscribed angle measures the half of the central angle intercepted by the same arc."

Therefore, m∠XWY = [tex]\frac{1}{2}(\angle XZY)[/tex]

                                 = [tex]\frac{1}{2}(122)[/tex]

                                 = 61°

Graham earns $6 for every crate of oranges he picks.
Lynn earns $5 per hour babysitting.
How many crates of oranges does Graham need to pick to earn the same amount
that Lynn earns for 12 hours of babysitting?
Enter your answer in the box.

Answers

Graham needs to pick 10 more oranges to have the same amount I think

Step-by-step explanation:

so first multiply 5 and 12 which is 60

5*12=60

then divide 60 from 6 or 6 from 60

60÷6= 10

Any helpers? Need help asap

Answers

Answer: positive: up down/ up up     negative: down up     down down

Step-by-step explanation:

Positive is up-down and up-up

Negative is down-up and down-down

Find x. Use a simplified radical or round to the nearest tenth.

Pleas helpppp

Answers

Answer:

[tex]x = 7 \sqrt{2} [/tex]

Step-by-step explanation:

[tex]sinθ = \frac{opp}{hyp} [/tex]

[tex]sin45° = \frac{7}{x} [/tex]

[tex] \frac{ \sqrt{2} }{2} = \frac{7}{x} [/tex]

Cross multiply:

[tex]( \sqrt{2} )(x) = 7(2)[/tex]

[tex]x = \frac{14}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } [/tex]

[tex]x = \frac{14 \sqrt{2} }{2} [/tex]

[tex]x = 7 \sqrt{2} [/tex]

I don’t need you to solve anything don’t worry about the numbers but is this triangular prism
A) rectangle/parallelogram
B) triangle
C) trapezoid
Plz help I’m confused

Answers

Answer:

This is a triangle prism

Step-by-step explanation:

It definitely can't be rectangle, parallelogram, or trapezoid

it’s a triangle prism yes

Jasmine swims 12 laps every afternoon, Monday through Friday. How many laps does she swim in one week?

Answers

Answer:

60

Step-by-step explanation:

In one week, Jasmine swims on Monday, Tuesday, Wednesday, Thursday, and Friday. Meaning she swims 5 days a week. If she swims 12 laps on all 5 days, then she swims a total of 60 laps.

The answer is eighty-four

Use the information given below to find tan(a+b).
12
COS = with a in quadrant I
13
3
tanſ = with ß in quadrant III
4'
Give the exact answer, not a decimal approximation.

Answers

12+13(3-4) hope this helped you!!!!!

Which graph correctly solves the equation below?
-x² – 1 = 2x^2 – 4

Answers

Answer: Hope this helps. I didn't see any graphs posted on your question.

Step-by-step explanation:

y = -x²-1

y = 2x²-4

Edit: posted wrong screenshot :/

here is the actual one lol

Can someone help me please

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: (-10,-2)

Just multiply the points by 2

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

(-10,-2)

Step-by-step explanation:

zoey invested $230 in a account interest rate was 6.3% daily to the nearest hundred dollars, would be after 12 years

Answers

$500 dollars is the answer to this problem



A sleep study found that the number of hours each person slept was normally
distributed. The study found that the average person slept 8.2 hours with a
standard deviation of 0.7 hours.
1. What range of hours of sleep are the 99.7% closet to the mean

Answers

Answer:

6.1-10.3

Step-by-step explanation:

Multiply standard deviation times 3 = 2.1

Subtract and add to mean.

one ticket costs $8. if you have $56, how many tickets can you buy?


please show work if it’s possible!!:)

Answers

Answer:

7

Step-by-step explanation:

because 56 divided by 8 = 7

or 7 x 8 = 56

hope this helps?

if its right can i have brainlist?

:')?

Answer:

You can buy 7 tickets

Step-by-step explanation:

56 devided by 8 is 7

para envasar 600kg de mole en pasta una productora de alimentos utiliza 140 envases ¿cuantos envases se necesitará para 950kg de mole?

Answers

Answer:

link respuesta - https://answer-helper.com/mathematics/question21964709

Step-by-step explanation:

urgent please help. will mark brainliest.
[tex]given \: that \: p = {x}^{2} + 4x - 2 \: and \: q = 2x - 1 \: and \: q - p = 2 \: find \: x[/tex]

Answers

Answer:

x= -1

Step-by-step explanation:

p= x² +4x -2 -----(1)

q= 2x -1 ------(2)

q -p= 2 -----(3)

Substitute (1) and (2) into (3):

2x -1 -(x² +4x -2)= 2

2x -1 -x² -4x +2= 2 (Expand bracket)

-x² -2x +1=2 (Simplify)

x² +2x +2 -1= 0 (Bring all terms to one side)

x² +2x +1= 0

(x +1)²= 0 (Factorise)

x +1= 0 (Square root both sides)

x= -1 (-1 on both sides)

14) In golf, a birdie means you score (-1) and a bogey means you score (+1), in relation to par. What
would your score be if, after eight holes, you had five birdies and three bogeys?

Answers

Answer:

-2

Step-by-step explanation:

Answer:

-2 the other person is also definitely right.

If p=5 and q=6, evaluate the following expression:2p+3q/4​

Answers

Answer:

7

Step-by-step explanation:

Substitute in numbers : 2(5)+3(6) /4

Combine Like Terms : 10+18/4 = 28/4

Answer : 7

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