Olivia spends $4 creating lemonade, and sells the cups for $1 each. Nathan spends $5 creating lemonade and sells the cups for $0.50 eac. How many cups does it take for them to make the same amount of money?

Answers

Answer 1

Answer: 2 cups

Step-by-step explanation: Olivia spends 4$ and nothing more. 1$ is her profit that can continue to gain and can be represented as 1x or x. x-4 is the equation to represent her profit. Nathan spends 5$ and 0.50$ is his profit which can be shown as 0.5x. 0.5x-5 is the equation to represent his profit.

Set those two equations equal to each other.  [tex]0.5x-5=x-4[/tex]

Isolate x.   [tex]0.5x=-1[/tex]

Solve for x.  [tex]x=-2[/tex]

Since x represents the amount of cups sold, you cannot have a negative amount of cups sold. Therefore, Olivia and Nathan must sell 2 cups to make the same profit.


Related Questions

There are 9 students entering the school district's science project with all students having an equal chance
of winning. There are medals for 1st, 2nd, and 3rd place. In how many different ways can the medals be
awarded?

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sjjddjek. sixieiej. sieifiek isixd

Hailey's car used 4 gallons to travel 172 miles. At what rate does the car use gas, in miles per gallon?

Answers

Answer:

43

Step-by-step explanation:

43 miles for every 1 gallon of gas

If a person walks 16 miles in 10 minutes, how far will that person walk in one hour?

Answers

Answer:

too far to be human

Step-by-step explanation:

in 10 mins i walk 1 mile

Answer:

96 miles

Step-by-step explanation:

There are 60 minutes in 1hr so 10*6= 60

16*6= 96

:)

A store that sells skis buys them from a manufacturer at a wholesale price of 57. the stores markup rate is 50%
What price does the store charge it's customers for the skis​

Answers

Answer:

$85.50

Step-by-step explanation:

57 * .5 = 28.5

28.5 + 57 = 85.5

therefore, the answer would be $85.50

Answer:

85.5

Step-by-step explanation:

I was confused on these
T-T

Answers

Answer:

Step-by-step explanation: The answer for 7: is 7/2

8: 28/5.

9: 9/4

10: 24/5

Find the error then show the correct way step by step.

Answers

Question 4

The error was that in step 2, when distributing -3 into the parentheses, the person did not change the sign of 24 so that it was negative, since a negative number multiplied by a positive number will always make a negative number. Here is the correct way to solve this equation:

[tex]-5x+12-7x=-3(5x+8)\\-12x+12=-3(5x+8)[/tex]

Distrubute -3 into the parentheses

[tex]-12x+12=-15x-24[/tex]

Subtract both sides by 12

[tex]-12x+12-12=-15x-24-12\\-12=-15x-36[/tex]

Add 15x to both sides

[tex]-12+15x=-15x-36+15x\\3x=-36[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} =\frac{-36}{3} \\x=-12[/tex]

Question 5

The error was that 2 was added on both sides in step 5 instead of being subtracted from both sides. Here is the correct way to do it, starting from step 4:

[tex]10=16x+2[/tex]

Subtract both sides by 2

[tex]10-2=16x+2-2\\8=16x[/tex]

Divide both sides by 16

[tex]\frac{8}{16} =\frac{16x}{16} \\\frac{1}{2}=x[/tex]

I hope this helps!

Find the area of the following figure.
18in +21in + 17in + 9in =

A. 555 in2

B. 531 in2

C. 612 in2

B. 540 in2

Answers

Answer:

The answer is B- 531^2

Step-by-step explanation:

l m f a o

your

pfp

The solution is, the area of the following figure is 360 in^2.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

For this case we have that by definition, the area of a rectangle is given by:

A = l*w

In this case, the rectangle is 18 in side, & 21 in.

then:

A = 18*21

   = 378

On the other hand, the area of a triangle is given by:

A = 1/2 b * h

Where:

b: It is the base of the triangle

h: It is the height

We have according to the figure that:

b = 21 - 17 = 4

h = 18 - 9 = 9

So:

A = 1/2 *4 *9

   =18

Finally, the area of the figure is:

378 - 18

=360

Answer: The solution is, the area of the following figure is 360 in^2.

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Tomer is playing a game that involves rolling 5 6-sided dice at once, and his goal is to roll the dice so exactly 4 of
them land showing a "1".
Which of the following would find the probability that exactly 4 of the 5 dice land showing a "1"?
A)(1/6)^4(5/6
B)(6/5)(1/6)^4(5/6)
C)(6/5)(1/6)^4(5/6)^2
D)(5/4)(1/6)^4(5/6)
E)(5/4)(1/6)^4(5/6)^2

Answers

Answer: D

(5/4) (1/6) 4^ (5/6)

Step-by-step explanation: I’m taking the test for this unit and I got it wrong but this was the CORRECT answer.

The probability that exactly 4 of the 5 dice land showing a "1" if, Tomer is playing a game that involves rolling 5 6-sided dice at once is 5 / 4 × (1 / 6)⁴ × (5 / 6), so option D is correct.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.

Given:

Tomer is playing a game that involves rolling 5 6-sided dice at once,

Calculate the probability that exactly 4 of the 5 dice land showing a "1" as shown below,

Probability = 5 / 4 (1 / 6)⁴ × (5 / 6)⁵⁻⁴

Probability = 5 / 4 × (1 / 6)⁴ × (5 / 6)¹

Probability = 5 / 4 × (1 / 6)⁴ × (5 / 6)

Thus, the probability that exactly 4 of the 5 dice land showing a "1" is 5 / 4 × (1 / 6)⁴ × (5 / 6).

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what is 3525.083 rounded to the nearest hundredth

Answers

Answer:

3525.08

Step-by-step explanation:

WILL GIVE BRAINLST

hAVE A GOOD DAY

Answers

Answers:

9) 16/100 = 8/50 = 4/25

10) >

PLS HELP DUE IN A HOUR!! FIND X

Answers

Answer:

x = 20

F = 46

Step-by-step explanation:

For x :

( 20 )  * 2 = 40

40 + 3 = 43

For degrees F

Add triangles have a angle sum of 180

So you just subtract 180 by the angles in the triangle

180 - 91 = 89

89 - 43 = 46

46 is remaining so it is the missing degrees ( F )

Find the value of x , then find the measure of angle A ( show your work ).

Answers

Step-by-step explanation:

2x+2+6x+4=120°(exterior angle of a triangle is equal to the sum of its opposite interior angle)

8x+6=120

8x=120-6

8x=114

x=114/8

x=14.25

now,

angleA=2x+2

2×14.25+228.5+2 30.5°

hope it helps.

Find the Area of the Shaded Region.
Round to the nearest tenth if necessary.
8 ft
4 ft
4 ft
8 ft
5.6 ft
4.5 ft
14 ft
14 ft

Answers

Answer:

the A of the shaded figure is 108.2

are 5,25,6,30 proportion?

Answers

Answer:

Yes

Step-by-step explanation:

5 (x5) = 25... 6 (x5) = 30

What percent is represented by the shaded area?

Answers

Answer:

110%

Step-by-step explanation:

because there are two different squares that represent a whole, each with ten sections, the most reasonable answer would be 110%. I hope this helps you!

Write these equations of the line in point-slope form given the slope
#1 5 and (13, -8).
#2 2/5 and (6, -7

Answers

Answer: #1) y=5x-73

#2) y= 2/5x - 47/5

Step-by-step explanation:

HURRY PLEASE!! I WILL GIVE BRAINLIEST

Answers

Answer:

X=2

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

x + 2 - 2 = 10 - 2 subtract 2 from both sides/ simplify x = 8

Use the pic for more info and I will mark as brainlest

Answers

The answer to your question is D

Fill in the table and graph the points 1 Fill in the table for the equation: y = 3x + 2

x y

0 ?

1 ?

2 ?


2. Graph the points. ​

Answers

x y
0 2
1 5
2 8

Here’s the points graphed

PLEASE HELP ME WITH THIS

Answers

Answer:

Step-by-step explanation:

1) 792÷ 36=22

2) 1/2 ÷ 3 = 1/6

3) D

4) its 10,00 cause 7.741 x 10 = 77,410

5) the answer in decimal is 60.089

A combination of numbers and operations is called formula: true or false?

Answers

Answer:

true

Step-by-step explanation:

its actually false

True, A combination of numbers and operations is called formula.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A combination of numbers and operations is called formula.

Now, We know that;

The formula is made by the combination of numbers and operations.

Let an example of a formula as;

⇒ (a + b)² = a² + 2ab + b²

Hence, We get;

The above formula is made by the combination of numbers and operations.

Learn more about the mathematical expression visit:

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De que numero es 49 un medio de. un tercio mas?​

Answers

Answer:

49 entre 3=16.33

la mitad de 49=24.5

Step-by-step explanation:

linda bought 1 shirt and 2 ties at the same store. What is the total price, in dollars and cents, of Linda's purchase?​

Answers

lets take shirts as x and ties as y
4x+2y=95
3x+3y=84
common in 3 and 2 is 6
3*2 =6 and 2*3+6
3(4x+2y=95)
2(3x+3y=84)
12x+6y=285
6x+6y+168
add 12x and 6x erase 6y's and add 285 and 168
18x=453
x=453/18
25.17
6x+6y=168
151.02+6y=168
6y=16.08
y=2.68
then
25.17+5.36
=30.53
total answer

х
Find the missing y value.
у
0 0
1
1
2 -6
3 -9
4-12
5-15

Answers

Answer:

Step-by-step explanation:

3-9 happy to help :)

a model for a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the model to the height of the actual model in simplest form?

Answers

Answer:

Ratio [Model : Actual] = 1:16

Step-by-step explanation:

Given:

Height of model = [tex]2\frac{1}{2}[/tex] inches = 5/2 inches = 2.5 inches

Height of actual status = [tex]3\frac{1}{3}[/tex] feet = 10 / 3 feet

Find:

Ratio [Model : Actual]

Computation:

Height of actual status = [tex]3\frac{1}{3}[/tex] feet = 10 / 3 feet

Height of actual status = [10 / 3] x 12

Height of actual status = 40 inches

Ratio [Model : Actual] = 2.5 / 40

Ratio [Model : Actual] = 1:16

Select all the equations where b = 11 is a solution. I need the answer quickly please.​

Answers

Answer:

c

Step-by-step explanation:

The answer is : D and C

Find the surface area of the prism 5 m 5 m 4 m 7 m 6 m​

Answers

Answer:

136 m²

Step-by-step explanation:

Bottom: 6x7=42

Sides: 5x7x2=70

Triangles: 2x1/2x6x4=24

42+70+24=136

Plz whoever has the best answer i'll give brainliest.

Answers

Answer:

Hmmm... There's no question which leads to the reasoning that there is no answer.

Step-by-step explanation:

HELP MEE PLSSS I REALLY NEED HELP

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Answer: to understand this we need a picture of the triangle, but without it I know that the only answer that is correct is the 3rd

Step-by-step explanation:

Express as a difference. 7+3. Please explain.

Answers

Answer:

7 + 3 = 10, difference means the answer to a subtraction problem, not sure I understand the question

Step-by-step explanation:

The given expression (7 + 3) represented in difference form as [tex]7-(-3)[/tex]

Difference of numbers :

We have to express 7 + 3 as difference of two number.

As we know that,

           [tex]a-(-b)=a+b[/tex]

In above expression, (a + b) is difference of two number a and -b.

Similarly,

            [tex]7+3=7-(-3)[/tex]

Thus, (7 + 3) represented in difference form as [tex]7-(-3)[/tex]

Learn more about the difference of number here:

https://brainly.com/question/18591813

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