Manuela is having mugs made for a fundraiser. The Cup Company will make them for $4 each plus a $30 set-up charge. Mugs Are Us will make them for $4.50 each with no set-up charge. At what amount of mugs will the price be the same for both companies?

Answers

Answer 1

Answer:

The price will be the same for both companies at 60 mugs

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the rate of changeb is the fixed amount

Assume that the number of mugs is x and the total cost of them is $y

∵ The Cup Company will make them for $4 each plus a $30

   set-up charge

∴ The cost per mug = $4

m = 4

∴ The fixed amount = $30

b = 30

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

y = 4x + 30 ⇒ (1)

∵  Mugs Are Us will make them for $4.50 each with no set-up charge

∴ The cost per mug = $4.50

m = 4.5

∴ The fixed amount = 0

b = 0

∵ x is the number of mugs

∵ y is the cost of them

→ Substitute the values of m and b in the form of the equation

∴ y = 4.5x + 0

y= 4.5x ⇒ (2)

∵ The price be the same for both companies

→ Equate the right sides of (1) and (2)

4.5x = 4x + 30

→ Subtract 4x from both sides

∵ 4.5x - 4x = 4x - 4x + 30

∴ 0.5x = 30

→ Divide both sides by 0.5

x = 60

The price will be the same for both companies at 60 mugs


Related Questions

hal,zeld ,maya, and jason each recorded the height and age of five classmates. they used the data to create the tables shown

Answers

i don’t see any tables shown

What is 1.234 x 10-3 in standard form?

Answers

Answer: The answer is 123,400.

Step-by-step explanation:

Answer:

123,400

Step-by-step explanation:

its already in standard form.

I WILL GIVE BRANLIEST
Which description best fits the graph
A. Always Decreasing
B. Always Increasing
C. Decreasing, then increasing
D. Increasing, then decreasing

Answers

Answer:

Always increasing

Step-by-step explanation:

The slope of the line is always positive

Helppp pleaseee = 57(1.05)×​

Answers

Answer: 0.5985

Step-by-step explanation:

For 6 days Bella drank 2/3 cups of orange juice

How much orange juice did she drink

HELP WILL GIVE BRAINLYIST​

Answers

Answer:

She has drunk 66.67% of cups of juice in 6 days.

Step-by-step explanation:

Bella drank 2/3 cups of orange juice  in 6 days.

It means that if there are 'x' number of cups, then she has drunk [tex]\frac{2}{3}x[/tex] of orange juice.

In other words, she has drunk 66.67% of cups.

For example, if the total number of cups = x = 9

Then she has drunk:

2/3 × 9 = 6 cups in 6 days.

Therefore, we conclude that for 6 days, she has drunk [tex]\frac{2}{3}x[/tex] of orange juice if there are 'x' number of cups.

Thus, she has drunk 66.67% of cups of juice in 6 days.

One third of the people at a banquet ordered ice cream for desert. The rest ordered pie. One fourth of those requesting pie ordered apple pie. Of 180 people attended the banquet, how many ordered apple pie?

Answers

Answer:

30 people ordered the apply pie

Step-by-step explanation:

Given

Total number of people = 180

It is given that one -third of the people order the ice cream

So the people who order ice cream are:

[tex]= \frac{1}{3} * 180\\= 60[/tex]

60 people order ice cream and rest who ordered pie are:

= 180-60 = 120

Now it is given that one-fourth of the people who ordered pie ordered apple pie

So,

[tex]= \frac{1}{4} * 120\\= 30[/tex]

Hence,

30 people ordered the apply pie

HELP ASAP PLEASE :))))
.
.

Answers

Answer:

A D E

Step-by-step explanation:

A D E I hope you get this right

Quickest answer with explanation gets Brainliest! Really need help by today!!

Q: A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relationship between the amount of oil and the amount of vinegar needed to make salad dressing according to this recipe. The point (1, 1.5) is on the line. Label the x-axis.

Q part 2: Write an equation that represents the proportional relationship between oil (o) and vinegar (v).

Answers

Answer:

1. X= vinegar, Y= oil

2. o=1.5v

___% of 300g =60g
what is in *____*​

Answers

Answer:

it's right answer is 20 percent ✌️

what is the fraction 1/4 in a decimal

Answers

.25 is the fraction for 1/4! (:

The equation of a circle is x2 + (y-10)2=16. The radius of the circle is units. The center of the circle is at .

Answers

Answers:

Center = (0, 10)

Radius = 4

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

Work Shown:

Rewrite the equation into

(x - 0)^2 + (y - 10)^2 = 4^2

Then note how it is in the form

(x - h)^2 + (y - k)^2 = r^2

We see that the center is (h,k) = (0,10) and the radius is r = 4.

5. MAPPING Ben and Kate are making a
map of their neighborhood on a piece of
graph paper. They decide to make one
unit on the graph paper correspond to
100 yards. First, they put their homes
on the map as shown below.

a. How many yards apart are Kate's and Ben's homes?

b. Their friend Jason lives exactly halfway between Ben and Kate. Mark the location of Jason's home on the
map. if my answers are wrong, correct me. i just used a pdf and idk if they’re right. ty ❤️

Answers

Answer:

a. 1,000 yards

b. (2, -1)

Step-by-step explanation:

Coordinates of Ben's House = (6, 2)

Coordinates of Kate's House = (-2, -4)

a. Number of yards between Kate and Ben's House using instance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex].

[tex] d = \sqrt{(6 -(-2))^2 + (2 -(-4))^2} [/tex]

[tex] d = \sqrt{(8)^2 + (6)^2} [/tex]

[tex] d = \sqrt{64 + 36} [/tex]

[tex] d = \sqrt{100} [/tex]

[tex] d = 10 units [/tex]

1 unit = 100 yards

Therefore, 10 units = 1,000 yards.

Kate and Ben's House are 1,000 yards apart.

b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Plug in the values

[tex] M(\frac{6 +(-2)}{2}, \frac{2 +(-4)}{2}) [/tex]

[tex] M(\frac{4}{2}, \frac{-2}{2}) [/tex]

[tex] M(2, -1) [/tex]

What is the measure of angle BAC

Answers

It's abc sing it abc man spelt abc wrong

Claire is putting up a fence around her rectangular garden. The length is four less than double the width. The perimeter is 22 feet. Find the dimensions of the garden.

PLZ ANSWER THIS FAST, ITS NOT ABOUT THE POINTS.

Answers

Answer:

The dimensions are 6 by 5 feet.

Length = 6 feet.

Width = 5 feet.

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 2W - 4 ........equation 1

22 = 2L + 2W .......equation 2

Substituting the value of "L" into equation 2, we have;

22 = 2(2W - 4) + 2W

22 = 4W - 8 + 2W

22 + 8 = 6W

30 = 6W

W = 30/6

Width, W = 5 feet.

To find the length, L

Substituting the value of "W" into equation 1, we have;

L = 2W - 4

L = 2(5) - 4

L = 10-4

Length, L =6 feet

Therefore, the dimensions of the garden are 6 by 5 feet.


Which graph represents the function f(x) = x– 4?

Answers

The graph doesn’t represent it

Answer:

i think its c

Step-by-step explanation:

Write an equation of the line that passes through 18,2 and is parallel to the line 3y-x=-12

Answers

Answer:

Step-by-step explanation:

3y - x = - 12 ⇔ y = [tex]\frac{1}{3}[/tex] x - 4

y - 2 = [tex]\frac{1}{3}[/tex] ( x - 18 )

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

Answer:

y=1/3x-4

Step-by-step explanation:

Refer to the picture that given

Help me pleaseeeeeee

Answers

The answer to your question will be C

Giving 15 points for this!!!!!!
I need to write a sentence about what I learned but I wasn't paying attention, please help I am so behind on all of my work. The lesson was about Unit Conversions. I just need a sentence about what I learned in the lesson about Unit Conversions, please help. :(

Answers

Answer:

A unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.

Solve for w. –3(w + 4) + –10 = 2

Answers

Answer:

w = - 8

Step-by-step explanation:

-Simplify both sides of the equation

-Distribute

-Combine like terms

-Add 22 to both sides

-Divide both sides by -3

Which is the correct way to write "the square root of 16?" A) 163 B) 162 C) 32 D) 16

Answers

32163

Step-by-step explanation:

16×16=163 ok that's why and square root is times

(ILL GIVE BRAINLIEST ON THIS ONE!! PLS HELP BEFORE MY PARENTS KILL MEEE!!!!)



Solve five and two thirds times three fourths

A) three and eleven twelfths
B) four and one twelfth
C) four and three twelfths
D) five and one twelfth

Answers

It’s c hopes this helpssssss

5x + -6 = 7x + 4 what is the value of x??

Answers

Answer:

x=  -5

Step-by-step explanation:

Evaluate the function f\left(x\right)=5x+2\mid11-5x\mid-4f(x)=5x+2∣11−5x∣−4 for x = -5.

Answers

Answer:

[tex]f\left(5\right) = 43[/tex]

Step-by-step explanation:

Given

[tex]f\left(x\right)=5x+2\mid11-5x\mid-4[/tex]

Required

Solve for x = -5

This implies that we substitute -5 for x in [tex]f\left(x\right)=5x+2\mid11-5x\mid-4[/tex]

[tex]f\left(5\right)=5(-5)+2\mid11-5(-5)\mid-4[/tex]

Open all brackets

[tex]f\left(5\right) = -25+2\mid11+25\mid-4[/tex]

[tex]f\left(5\right) = -25+2\mid36\mid-4[/tex]

Absolute value of 36 is 36; Wo, we have:

[tex]f\left(5\right) = -25+2*36-4[/tex]

[tex]f\left(5\right) = -25+72-4[/tex]

[tex]f\left(5\right) = 43[/tex]

During the winter of 2012-2013, Buffalo, New York received 22 inches of snow in 12 hours. Oswego, New York received 31 inches of snow over a 15-hour period. What was Oswego’s snowfall rate ? Round your answer to the nearest hundredth.

Answers

Oswego’s snowfall rate given the inches of snow and the hours of snow is 2.07 inches / hour.

What is Oswego’s snowfall rate ?

The rate of snowfall measures how fast snow was falling with respect to time. It is the ratio of the snow and time. The rate can be determined by dividing the total inches of snow by the total time.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

Oswego’s snowfall rate = inches of snow fall / time

31 / 15 = 2.07 inches / hour

To learn more about rate, please check: https://brainly.com/question/717978

#SPJ1

-----------------------------

Answers

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

.......................... you do know you could skip math class and do better in your other classes and you will still move to the next grade pls make me as Brainliest

Step-by-step explanation:

Add.
0.125 +0.25 +0.375

Answers

Answer:

0.75

Step-by-step explanation:

Just add them and you get your answer

Answer: 0.75

Step-by-step explanation:

I have no idea what to do

Answers

Answer:

the answer is 5 or 8

Step-by-step explanation:

Sorry if im wrong have a good day :) :) :)

Answer:

8

Step-by-step explanation:

I think it's 8. When x=0, f(x) is at 1. When x=2, f(x) is at 9 i think ( the picture makes it difficult to confirm that for sure) so the average rate increase should be 8... since 1+ 8=9. Hopefully this is correct...

solve x^2+ 17x-12=-84

Answers

Answer:

(X+9)(X+8)=0

X=-9,-8

Step-by-step explanation:

x^2+ 17x-12=-84

x^2+17x-12+84=0

x^2+17x+72=0

x^2+(9+8)X+72=0

x^2+9x+8x+72=0

X(X+9)+8(X+9)=0

(X+9)(X+8)=0

X=-9,-8

So the value of the X is -9,-8

A clothing shop ordered 240 t-shirts. 25% of the shirts are Mediums.
How many Mediums did the shop order?

Answers

Answer:

60 shirts

Step-by-step explanation:

take 240 and multiply it by .25

Answer:

60 Medium T shirts.

Step-by-step explanation:

25% is 1/4, so either divide 240 by four or divide 240 by 2 to get 120, then divide 120 by two to get 60.

Write each percent increase or decrease as a percentage of the initial amount.

This year, there was 25% more snow than last year.

The amount of snow this year is _______ % of the amount of snow last year.

This year, the class had 15% fewer students than it did last year.

The number of students in the class this year is _____ % of the number of students last year.

Answers

Answer:

18%

Step-by-step explanation:

Other Questions
How does the theme of fear play into the story? Explain using evidence from the text.(Winged Blackmail) Convert 7 pounds 3 ounces to kilograms.Conversion ratios:1 lb = 16 oz1 kg = 2.2 lbHINT: Covert 3oz to lbs, then add that number to the 7lb. Then convert to kg.Round your final answer to the nearest tenth. Not an actual question, just a discussion if you'd like.Based on the religions and beliefs of the world, God created humans. He created the universes, He created the worlds, He created everything. People ask what the meaning of life is, but why ask that when we don't even know why God created life in the first place? Why would God, the greatest being there is, create humans, when He could create stronger, smarter, and better creatures? Why even create anything at all? And who created HIM? ww2 research paper about America In 35 complete sentences, thoroughly explain how the protagonist in "Condensed Milk" by Varlam Shalamov handles the conflict he faces? What actions or choices does the protagonist make because of the conflict? What is the outcome of the conflict? Provide at least two specific details to support your analysis of how the protagonist deals with the conflict. 4. X varies directly with the square of y, where x>0,and y >0. If x= 3 when y = 5, then what is the valueofy when x= 48? Which idea is common to both texts?A. People's taste in art covers a broad spectrum of styles.B. There is much exciting abstract art happening today.C. Landscapes and portrait paintings have wider appeal.D. The average person cannot understand abstract art. Which characteristic of Realism is still evident in most poetry written today? How do human beings negatively affect the carbon cycle?Human beings burn fossil fuels, which contribute carbon dioxide to the atmosphere.Human beings conserve resources, which decrease resources for the carbon cycle.Human beings mine resources, which increases the amount of oxygen available to the carbon cycle.Human beings use carbon-based pencils, which decreases the amount of carbon dioxide in the atmosphere.Eww An employee has year-to-date earnings of . The employee's gross pay for the next pay period is . If the FICAOASDI is % and the wage base is , how much FICAOASDI tax will be withheld from the employee's pay? (Answer is rounded to whole dollar.) Which of the following is the equation for calculating daily caloric needs? A. BMR calories + Digestion calories B. BMR calories + Activity Level calories + Digestion calories C. BMI + Activity Level calories D. Activity Level calories + Digestion Calories Where are most of the western cities?O plateausO desertsO mountainsO flat land Which statement is true about the expression?18 + 2A. It is rational and equal to 4 times the square root of 2.B. It is irrational and equal to 4 times the square root of 2.C. It is rational and equal to 3 times the square root of 2.D. It is irrational and equal to 3 times the square root of 2. 1. Assume that in an implementation of the RSA cryptosystem one modular squar- ing takes 75% of the time of a modular multiplication. How much quicker is one encryption on average if instead of a 2048-bit public key the short exponent e Please help yall I dont understand Select the expressions that are equivalent to 6u + U.7uU times 740 + 2u + u3u + 4u Will give 50 points............PLEASE HELP What percent of 41.7 is 39? spanish people need help with someone help please!