A caterer charges $120 for 15 people to cater a party and $7 per person after that.
Assume that the cost, y, is a linear function of the number of x people. Write an
equation in slope-intercept form for this function.

Answers

Answer 1

Answer

120=7x+15

Step-by-step explanation:

Answer 2

Answer:

We are given table for the prices for two different catering companies.

Company Initial Payment           Rate Per Employee

________________________________________

$135                                         $12

       $0                                           $15

We know, slope-intercept form of a linear equation:

y= mx+ b.

Where m is the slope ( Rate Per Employee with respect to the problem) and b is the y-intercept (Company Initial Payment).

Plugging m= 12 and b= 135 in slope-intercept form y=mx+b to get first equation.

y = 12x +135.

Plugging m= 15 and b= 0 in slope-intercept form y=mx+b to get second equation.

y = 15x + 0 or y = 15x.

Therefore, system of equations or Devoted Catering are

y = 12x +135.

y = 15x .

Step-by-step explanation:


Related Questions

If f(x) = - 2x + 3 then f(3) - f(4) =

Answers

Answer:2

Step-by-step explanation:

I have the problem on my my review and it says 2

Substituting the given values of X into the function, the value of f(3) - f(4) is 2

Given the function :

f(x) = - 2x + 3

f(3) = - 2(3) + 3

f(3) = - 6 + 3 = - 3

For X = 4 :

f(4) = - 2(4) + 3

f(4) = - 8 + 3 = - 5

f(3) - f(4) = - 3 - (-5)

f(3) - f(4) = - 3 + 5 = 2

Therefore, the value of f(3) - f(4) is 2

Learn more : https://brainly.com/question/18106342

Cara has two pieces of ribbon, one 15 inches long and the other 20 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them?

Answers

Answer:

5 inches

Step-by-step explanation:

Given that :

There are two pieces of ribbon with length:

15 inches and 20 inches

To cut ribbon into equal sizes with no ribbons left ; the greatest length in inches of the ribbon would be :

Calculate the greatest common factor of both lengths : 15 inches and 20 inches

____15___20

_5__ 3___4

OR

Find the factors of 15 and 20 and pick the greatest common to both

15 : 1, 3, 5, 15

20 : 1, 2, 4, 5, 10, 20

Greatest factor common to both = 5

Hence the greatest length she can cut the ribbons into without any leftover is 5 inches

Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day.

According to a study, for every 50C increase in rental price, the average business can expect to lose 4 rentals a day.

Complete the equation that models this scenario, where b(x) is the revenue generated and x is the number of 50 price increases.

b(x)= x + x+ [

Answers

Answer:

b(x) = -2X² + 19X + 114

Step-by-step explanation:

b(x) = total revenue generated per day

total revenue formula ⇒ b(x) = price x quantity

price = $3 current price + 0.5X price increase = 3 + 0.5X

quantity = 38 current quantity sold - 4 books per X = 38 - 4X

b(x) = (3 + 0.5X) · (38 - 4X)

b(x) = 114 -12X + 19X - 2X²

b(x) = -2X² + 19X + 114

someone plz help me the phot is attached

Answers

I cant even see wat it says

What's the expression? (HELP!!) 25POINTS

Answers

Answer: it looks like a commutative expression

Step-by-step explanation: im pretty sure im wrong, goodnight

A model car kit is built to a scale of 1cm : 32cm. The length of the model car is 13 cm. What is the length of the actual car?

Answers

Answer:

I'm late but the answer is 416 cm

Step-by-step explanation:

If every cm of the model car equals 32 centimeters of the actual car, you would just multiply 13 by 32 and get 416

what is the absulute value of -54​

Answers

Answer:

54

Step-by-step explanation:

Absolute value is the number without the negative. Next time just remove the negative and you're all set!

The solution set for -18 x
3 > x

Answers

-18x×3>x

Calculate the product

-54x>x

now we do the same thing only different way ok

-18x×3

Multiply a negative and a positive equals a negative:(-)x(+)=(-)

-(18×3)x

Multiply the numbers

-54x

now we do the same thing only different way ok

-54x>x

Move variable to the left hand side and change its sign

-54x-x>0

the same way only different way ok

-54x>x

Move variable to the left by adding its opposite to both sides

-54x-x>x-x

the sum of two opposites equals 0

-54x-x>0

Collect like terms

-55x>0

the same way only different way ok

-54x-x

If a negative term doesn't have a coefficient, it is considered that the coefficient is -1

-54x-1x

Collect like terms by calculating the sum or difference of their coefficients

(-54-1)x

Calculate the difference

-55x

now we do the same thing only different way ok

-54x-y>0

Collect like terms

-55x>0

Divide both sides of the inequality by -55 and flip the inequality sign

x<0

Now we do the same thing only different way ok

-55x>0

Divide both sides of the inequality by-55 and flip the inequality sign

-55x÷(-55)<0÷(-55)

any expression Divided by itself equals 1

x<0÷(-55)

0 Divided by any non-zero expression equals 0

Answer : x<0

PLEASE MARK ME AS BRAINLIEST

Evaluate:-7(-6) =

Plz help me I’m in a test

Answers

Answer:

positive 42

Step-by-step explanation:

because to negatives make a positive and then you would multiply the two by eachother because they are directly beside eachother and then you do 7*6 which equals to 42 I really hoped this helped you

Help with math! a, b, c or d? FAST

Answers

Answer:

d

Step-by-step explanation:

Select the correct answer.
What is the justification for step 2 in the solution process?

12y − 40 − 4y = 6y − 18
Step 1: 8y − 40 = 6y − 18
Step 2: 2y − 40 = -18
A.
the subtraction property of equality
B.
the division property of equality
C.
the addition property of equality
D.
the multiplication property of equality

Answers

Answer:

A.

the subtraction property of equality

Step-by-step explanation:

Answer:

A. the subtraction property of equality

took test its right

Be first to answer! :)

Answers

Answer:

2x + 200 = 6x + 120

Step-by-step explanation:

Super-Clean house cleaning company:  2x + 200

Power Bright: 6x + 120

Now, they have to be equal because we are trying to find the equation for total charges.

So, your equation would be 2x + 200 = 6x + 120.

Hope this helps!

Answer:

Step-by-step explanation:

Let the number of linear feet = x

Let the total cost = y

Condition One

y = 200 + 2x

Condition Two

y = 120 + 6x

Now you want the ys to be the same.

200 + 2x = 120 + 6x

Find the next term of the square 16,9,2,-5....

Answers

Answer:

- 12

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

9 - 16 = 2 - 9 = - 5 - 2 = - 7

Thus to find the next term subtract 7 from the previous term, that is

- 5 - 7 = - 12

A rectangle is 45 cm on one side and 6 cm on another side. What is the perimeter?​

Answers

Answer:

102 cm

Step-by-step explanation:

45 + 45 = 90

6 + 6 = 12

90 + 12 = 102

18. Let f(x)=x²+2x+c
For what values of care the roots of f(x) not real?
c<_1
c<1
c1
c>1

Answers

Answer:c<1

Step-by-step explanation:

I need help ASAP with all your strength and power

Answers

Answer:

ASA??

Step-by-step explanation:

ASA I think.............

Write three numbers that round to to 60,000 when rounded to the nearest ten thousand

Answers

Answer:

Examples of such numbers are;

59,995

60,001

58,754

Step-by-step explanation:

Here, we want to write three numbers which when rounded to the nearest ten thousand is 60,000

We can suggest the following;

59,995

60,001

58,754

What is the Lcm for 25,60,150

Answers

Answer:

300

Step-by-step explanation:

Your financial advisor tells you to put away 15% of your take home pay. If you make
$1,600 and put away $250 are you putting away enough???

Answers

Answer: Yes?

Step-by-step explanation:

15% of 1600 is 240 so i think so

Does anyone know how to find this I'm studying and me and my family don't understand! I only need help on #17

Answers

Answer:

4

Step-by-step explanation:

Hi so basically you just convert the inches to decimals so

0.5 x 0.5 x 0.25 = 0.0625

Use a calculator to convert 0.0625 into fraction which is [tex]\frac{1}{16}[/tex]

Multiply [tex]\frac{1}{4}[/tex] by 3 = [tex]\frac{1}{64}[/tex]

Then multiply [tex]\frac{1}{16}[/tex] by [tex]\frac{1}{64}[/tex] = 4

Soo that was probably very confusing, but I hope it helps! :)

Plz click the Thanks button, I rrly appreciate it!

Answer:

length: 2 cubeswidth: 1 cubeheight: 2 cubesvolume: 4 cubes

Step-by-step explanation:

We assume in this context that a "1/4 unit cube" is a cube that is 1/4 unit on a side. When the "unit" is "inches", then the "1/4 unit cube" is a cube that is 1/4 inch on a side.

It should not take too much thought to realize that a dimension that is 1/2 = 2/4 inches will be 2 cubes long. A dimension that is 1/4 inch will be 1 cube long.

Then the 1/2 by 1/2 by 1/4 prism will have dimensions in "cubes" of ...

  2 cubes × 2 cubes × 1 cube

As with any rectangular prism volume calculation, the volume is the product of the dimensions:

  V = LWH = (2)(1)(2) = 4 . . . cubes

_____

For this prism, it should not be too difficult to see that if you stack 2 smaller cubes on top of two smaller cubes, the overall dimensions of that will be 1/2 inch wide by 1/2 inch high by 1/4 inch deep.

_____

Additional comment

Which dimensions you call length, width, and height are irrelevant, as each is interchangeable with any other in the formula for volume. Here, I have elected to call height the vertical dimension, length the left-right horizontal dimension, and width the front-back dimension. You are welcome to choose an assignment of names to dimensions that suits your taste (or that of your grader).

Please help! Due tomorrow!

Asheville, Candler, Canton, and Oteen are on the map. The scale for the map is 1/4 inch represents one mile.

PART A - If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?

PART B - If Candler and Oteen are 3 1/2 inch apart on the map, what is the actual distance between candler and Oteen in miles?

Answers

PART A: 2.25

PART B: 14

Which of the following quantities are inversely proportional?

The time it takes to use a 5 lb bag of dry cat food and the number of cats, if each cat eats the same amount of food per same time interval.

Answers

Answer:

inversely proportional

Step-by-step explanation:

what is the equation for cx+4y=8t when your solving for x

Answers

x = 8t/c - 4y/c

isolate the variable by dividing each side by factors that dont contain the variable

The prices of different items at a food

market are shown in the table above.

Ryan wants to buy 0.75 pounds of tuna

salad and 0.5 pounds of chicken salad.

How much does he spend to the nearest

cent?

Answers

Answer:

Step-by-step explanation:

Sally received a $30 gift card that could be used to download songs. After she downloaded 7 songs , she had $15 remaining on her gift card. If each song costs the same amount to download, what is the cost of one song?

Answers

Answer:

Step-by-step explanation:

2 dalliers and 14 cents

Answer:

$2.14285714286 or $2.14

Step-by-step explanation:

This is quite simple.

#1. Take-away $15 from $30 because "$15 remain"ed.

#2. Then you get $15 dollars and divide that by 7, because she used the "same amount to download" each song so you divide 15 among 7 equally.

#3. There you go! You have the answer! it's: $2.14285714286 or $2.14 if simplified.

WooHoo!

find the rate of interest when principal rs 6400 SIMPLE INTEREST RS 768 and time 2 years

Answers

Answer:

rate of interest is 6 percent per annum.

Step-by-step explanation:

Formula for simple interest is given

SI = p*r*t/100

where

SI is simple interest

p is principal

r is the rate of interest

t is the time

_______________________________

Given

p = 6400

SI = 768

t = 2 years

r we have to find

lest sue the above formula and plug the given value in it

768 = 6400*r*2/100

=> 768 = 128r

=> r = 768/128 = 6

Thus, r = 6%

thus, rate of interest is 6 percent per annum.

As a farmer, Felipe keeps a close eye on the weather. After a few stressful weeks with no rain, Felipe was relieved when it started raining one morning. It rained steadily all day, and Felipe periodically checked to see how much rain had fallen. There is a proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) that had fallen, y. The equation that models this relationship is y=0.25x. At this rate, how long did it take until 2 inches of rain have fallen? Write your answer as a whole number or decimal.

Answers

Answer:

The time it took until 2 inches of rain fell is 8 hours

Step-by-step explanation:

You know that the proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) it had fallen, y, is y = 0.25*x

To find the time that passed until 2 inches of rain fell, you must replace the amount of rain (in inches) that had fallen "and" by that value. In this way the following expression is obtained:

2= 0.25*x

Solving:

[tex]\frac{2}{0.25}=x[/tex]

8 = x

So, remembering that the amount of time it had been raining, x, is expressed in hours, the time it took until 2 inches of rain fell is 8 hours.

Answer:

2 inches

Step-by-step explanation:

Im on IXL, and i have the exact same question but the name is emmett instead of felipe, the answer is 2 trust me

Use the formula C = 5 (F – 32). To determine which temperature is hotter.
30° Celsius or 85° Fahrenheit. Write just the number as your answer.

Answers

Answer:

Step-by-step explanation:

The formula u have written is incorrect. It should be C = [5 (F-32)]÷9.

To identify which is hotter, you need to bring both the values either in celsius or in Fahrenheit.

Let's convert 85°F to celsius:

C = [5 ( F - 32 )] ÷ 9

C = [5 ( 85-32 )] ÷ 9

C = [5 (53)] ÷ 9

C = 29.4 °C

thus 30°C is hotter than 85°F

What is the measure of the angle formed by the minute hand and hour hand of a clock in each case?
at 4 o’clock

Answers

the measure is 90 degrees

Answer:

120 degrees

Step-by-step explanation:

simplify the expression 3(5x-3)-2x+4

Answers

Answer:

=13x-5

Step-by-step explanation:

Answer:

13x-5

Step-by-step explanation:

You would use distributive property to get 15x-9 and then the -2x+4.

Distributive property works for the numbers in the parenthesis and you multiply the 5x and the -3 by 3.

Then, you would do your basic math to get 13x-5

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