The Alvarezes are trying to decide which of two catering companies to hire for their anniversary party. Marvelous Meals charges $700 plus $35 per person. Posh Parties charges $425 plus $50 per person. Both companies are known for their good food and excellent service, so the Alvarezes want to choose the caterer that will cost less. Write the equation to represent Marvelous Meals. *

Answers

Answer 1

Given :

Marvelous Meals charges $700 plus $35 per person. Posh Parties charges $425 plus $50 per person.

To Find :

Which company will cost less.

Solution :

Let, after x people Marvelous Meals charge less than Posh Parties :

So, 700 + 35x < 425 + 50x

275 < 15x

x > 18.33 i.e x > 18

Therefore, after 18 people Marvelous Meals charge less than Posh Parties.

Hence, this is the required solution.


Related Questions

find the value of X also show the process please..​

Answers

Answer: 65

Step-by-step explanation:

Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222.... Answer parts a and b. a. Write this number as a fraction.

Answers

Complete question :

Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222...

1. Write this number as a fraction (Steps)

2. How many students said they would vote for Brianna?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Total number of students = 45

Proportion of those who said yes to the total number of students = 0.62222...

1.) writing 0.622222... as a decimal

0.62222 / 1

Multiply numerator and denominatior by 100000 to get rid of the decimal

62222/100000

= 31111 / 50000

Let number who said yes = y

Then,

y / 45 = 31111/50000

50000y = 1399995

y = 1399995 / 50000

y = 27.999

y = 28

PLEASE HELP ILL GIVE BRAINLINEST
Which expression is equivalent to 7 2/3 ⋅ 71/4?
A. 7 3/7
B. 7^-1
C. 7 5/12
D. 7 11/12

Answers

Step-by-step explanation:

D. 7 11/12

hope this help!!!

Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable. The linear function f(x)=4.1x+26 represents the percentage of people, f(x), who graduated from college x years after 1998

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the linear function: f(x)=4.1x+26

Comparing the equation with the general linear regression Equation :

f(x) = mx + c

Where ;

m = slope ; x = independent variable ; c = intercept

Hence, the slope of the equation is 4.1

The expression goes those; the dependent variable y increases by 4.1 per 1 degree increase in the dependent variable.

The length of a rectangle is five times its width.
If the area of the rectangle is 405cm^2, find perimeter

Answers

Answer:

108

Step-by-step explanation:

Let's say the width is x

Of the length is 5 times the width, then the length is 5x

Area = length * width

405 = x * 5x

405 = 5x^2

405/5 = 5x^2/5

81 = x^2

Take the square root of both sides

2/[81 = 2/[x^2

9 = x = width

9 × 5 = 45 = length

Perimeter = 2 × length + 2 × width

2 × 45 + 2 × 9

90 + 18 = 108

Is 10−−√ greater than, less than, or equal to 5? Use the drop-down menus to explain your answer. Because 10 lies between two consecutive perfect squares, Choose... , 10−−√ is located between the Choose... of these two numbers. This means that 10−−√ is located between Choose... , so 10−−√ is Choose... 5.

Answers

Answer:

[tex]\sqrt{10} < 5[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{10}[/tex] ___ [tex]5[/tex]

Required

Fill in the gap

First, we need to solve [tex]\sqrt{10}[/tex]

[tex]\sqrt{10}= 3.162[/tex]

So:

[tex]\sqrt{10}[/tex] ___ [tex]5[/tex]

becomes

3.162 ___ 5

3.162 lies between 3 and 4

So, we can say that

[tex]\sqrt{10}[/tex] lies between 3 and 4

Since:

3.162 is less than 5, the gap can be filled with <.

So, we have: 3.162 < 5

Need help on this question ASAP PLEASEE and thank you!! (:

Answers

Answer:

8^(3x-4)=5x+4

Quadratics
Give an example of an x-intercept from a vertex form equation.

Answers

Here is an example, if the graph hovers above the x-axis (k<0) then there will be no real solutions

Convert the equation into Slope-Intercept Form:
x - y = 11​

Answers

y=x-11

Use the formula y=mx+b to help you convert problems like this into slope - intercept form.

The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.

Middle School Students
2 box plots. The number line goes from 0 to 10. For middle school students, the whiskers range from 1 to 9, and the box ranges from 2 to 7. A line divides the box at 4. For elementary school students, the whiskers range from 1 to 9, and the box ranges from 4 to 7. A line divides the box at 5.5.
Elementary School Students

Which are true statements when comparing the data in the box plots? Select three choices.
The data for elementary school are more consistent than those for middle school.
More of the data for middle school lie closer to the median than the data for elementary school.
About 50% of elementary school students watch between 4 and 7 hours of television each week.
About one-half of middle school students watch less than 2 hours of television each week.
On average, middle school students watch less television than elementary school students each week.

Answers

The correct answer is A,C and D

I'm smart yw :)

Factor completely 2x2 − 18. Prime 2(x2 − 9) 2(x 3)(x − 3) 2(x 3)(x 3).

Answers

By using identity we got the factorization form of [tex]2x^2-18[/tex] as

[tex]2(x-3)(x+3)[/tex]

What is factorization?

factorization is a way of writing any expression in form of product of some expressions

Given polynomial

[tex]2x^2-18[/tex]

We can factorize it as

[tex]2x^2-18\\\\2(x^2-9)\\\\2(x^2-3^2)\\\\2(x-3)(x+3)[/tex]

By using identity we got the factorization form of [tex]2x^2-18[/tex] as

[tex]2(x-3)(x+3)[/tex]

To learn more about factorization visit :https://brainly.com/question/25829061

A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples​ (each of size n ​= 5) taken. The population process standard deviation is 1.36. Samples 1 2 3 4 5 6 7 8 9 10 9 13 13 11 11 10 9 13 7 9 8 11 9 11 10 10 12 11 7 12 9 12 9 12 10 7 11 7 13 10 10 14 11 10 10 13 9 9 12 7 13 12 10 10 9 9 10 8 10 13 ​a) Standard deviation of the sampling means​ = . 608 ounces ​(round your response to three decimal​ places). ​b) With z​ = 3​, the control limits for the mean chart​ are: UCL Subscript x overbar ​= 12.124 ounces ​(round your response to three decimal​ places). LCL Subscript x overbar ​= 8.476 ounces ​(round your response to three decimal​ places). ​c) The control limits for the​ R-chart are: UCL Subscript Upper R ​= nothing ounces ​(round your response to three decimal​ places).

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Population standard deviation (σ) = 1.36

Sample size (n) = 5

A.)Standard deviation of sampling mean (σx) = (σ/√n)

(1.36/√5)

1.36 / 2.236

= 0.608

B.) With z​ = 3​, the control limits for the mean

chart​ :

Control limit = m ± zσx

Using calculator ; mean (m) of the data = 10.40

Lower control limit : 10.4 - 3(0.608) = 8.576

Upper Control limit : 10.4 + 3(0.608) = 12.224

The control limit for the range :

Average value of range(R) in the sample = 3.6

Lower Control limit : R*D3

Upper control limit: R*D4

From the range chart table :

D3 = 0 ; D4 = 2.114

Lower Control limit : R*D3 = 3.6(0) = 0

Upper control limit: R*D4 = 3.6(2.114) = 7.61

What is the ancwer, worth 10 points!!!!
3/7 divided by 2/3

Choises: 6/21, 1/2, 9/14, 1 5/9

Answers

The answer is 9/14. I know this by doing skip flip multiply

Answer: 9/14

Step-by-step explanation: To divide, you fave the find the reciprocal of 2/3, which is 3/2. Now you multiply 3/7 and 3/2 across, which is 9/14.

The radius of a circle is 111 units.
What is the diameter of the circle? khan academy

Answers

Answer:

222

Step-by-step explanation:

Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle.

Evaluate the expression 17 x (-12 + 10)2

Answers

Answer:

-68

Step-by-step explanation:

-68
-12+10= -2, -2x17=-34, -34x2=-68.

Please Help! Leave Explanation :))

A digital board game has 25 squares
with 5 squares of each color. The
results of 625 games are shown below.For which color is the experimental probability closest to the theoretical probability?

Answers

Answer:

20%

Step-by-step explanation:

Answer:

Had this on my test its pink

Step-by-step explanation:

625/5 (the total amount of colors, the 5)

you get 125 the closes to 125 is pink

#9 find the slope in the graph MULTIPLE CHOICE

Answers

#1 is D
#2 is C

Your welcome

6. A pizza's original price is $11. It is on sale for $9.25. What percent off is it?

Answers

Solution:

We know that:

[tex]Original \ price = \$11[/tex]

[tex]Sale \ price = \$9.25[/tex]

[tex]\frac{9.25}{11} + \frac{1.75}{11} =100\%[/tex]

Simplify the equation to find the percent off:

[tex]\frac{9.25}{11} + \frac{1.75}{11} =100\%[/tex]

[tex]84\% + \bold{16\%} = 100\% \space\ \space\ \space\ \ \ \ \ [Rounded][/tex]

This means that the original price has decreased about 16%.

A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseball cost $4 each. The inequality 185+4b≤1,000 can be used to determine the number of new baseball, b, that the team can purchase. Which statement about the number of new baseballs that can be purchased is true?

Answers

This question is incomplete

Complete Question

A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseballs cost $4 each.

The inequality 185 + 4b ≤ 1,000 can be used to determine the number of new baseballs (b) that the team can

purchase. Which statement about the number of new baseballs that can be purchased is true?

A. The team can purchase 204 new baseballs.

B. The minimum number of new baseballs that can be purchased is 185.

C. The maximum number of new baseballs that can be purchased is 185.

D. The team can purchase 185 new baseballs, but this number is neither the

maximum nor the minimum.

Answer:

D. The team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.

Step-by-step explanation:

The first step would be to solve the given equation:

185 + 4b ≤ 1000

4b ≤ 1000 - 185

4b ≤ 815

Divide both sides by 4

b ≤ 203.75

The maximum amount of baseballs the team can buy is 203. This means that they can buy 203 or less than that amount.

Of all the options give, option D is the correct option because the team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.

The maximum number of ball they can buy is 203 balls and the minimum is zero.

Chris bought 26 pounds of sugar for $11
How many pounds of sugar did he get per dollar?

Answers

Answer:

2.36lb/$

Solution:

(26lb) ÷ (11$) = 2.36lb/$

Can someone help me on this question? I’ll mark you brainliest if you answer soon!!!

Answers

a || b = given

l || m = given

angle 6 equals angle 9 = corresponding angles.

angle 9 equals angle 16 = alternate exterior angles.

angle 6 equals angle 16 = transitive property.

asap- (2.6w−4.2x)+(1.3w+8.1y)(1.3w+8.1y)+(3.6y+9.6x)(3.6y+9.6x)

Answers

[tex](2.6w - 4.2x) + (1.3w + 8.1y)(1.3w + 8.1y) + (3.6y + 9.6x)(3.6y + 9.6x)\\= (2.6w - 4.2x) + (1.69w^2 + 10.53wy + 10.53wy + 65.61y^2) + (12.96y^2 + 34.56xy + 34.56xy + 92.16x^2)\\= 2.6w - 4.2x + 1.69w^2 + 21.06wy + 65.61y^2 + 12.96y^2 + 69.12xy + 92.16x^2\\= 2.6w - 4.2x + 1.69w^2 + 21.06wy + 78.57y^2 + 69.12xy + 92.16x^2[/tex]

Please do It fast, I need it

If a scale factor of One-fifth is used to make a reduction, what is the base of the original triangle?

Answers

The reduction was 1/5.

Because you are given the reduced values, multiply the reduced value by the inverrse of the factor:

Inverse of 1/5 = 5

Height = 3 x5 = 15

Base = 5 x 5 = 25

The base is 25

Simplify 19-4b

Thank you

Answers

Answer:

4.75-b

Step-by-step explanation:

19-4b

19/4-4b/4

4.75-b

A line has a slope of 5 and another line has a slope of -1/5. Are the two lines parallel, perpendicular or neither?​

Answers

Answer:

its parallel

Step-by-step explanation:

HELP HELP HELP HELP HELP​

Answers

If the two sides are equal to each other, then you can make an equation:

3x+1 = 6x-14

Now solve:

Move x to one side

6x - 3x = 14 + 1

3x = 15

x = 5

Use > , < , or = to compare the numbers below:

49 ____ 49

Answers

Answer: =

Step-by-step explanation:

49 = 49

Answer:

=

Step-by-step explanation:

if we have 49 cookies, and another person also had 49 cookies, then my friend and I would have the equal amount of cookies. 49 is not less than 49, and 49 is not greater than 49.

PLEASE HELP THIS IS DUE IN 10 MINUTES

How would you solve for x?
11,928/1,988 = x/1

Answers

Answer:

6/1 GO GO GO

Step-by-step explanation:

Can you please help me solve this using multiplication 1/2x+4=3

Answers

Ok so 1 plus one is 2

Answer:

x = -2

Step-by-step explanation:

[tex]\:\frac{1}{2}x+4=3[/tex]

[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}[/tex]

[tex]\frac{1}{2}x+4-4=3-4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{1}{2}x=-1[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]

[tex]2\cdot \frac{1}{2}x=2\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-2[/tex]

[RevyBreeze]

HELP

Which point is located at (1, 3)?
A
B
C
D

Answers

None. But a is located at 1, -3 if that helps at all.

Answer:

I don't know if you typed the question wrong, but coordinates are written as (x, y).

A (1, -3)

B (-3, 1)

C (-1, 3)

D (3, -1)

Hope I helped!

Step-by-step explanation:

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