Peter owned a juice shop. He sold a cup of lemon juice for $1.25 and a cup of apple juice for $2.50. If Peter sold a total of 155 cups of juice and collected a total of $256 approximately, how many cups of each type did he sell?

Answers

Answer 1

The number of cup of lemon juice is 105 cups and number of cup of apple juice is 50 cups.

What is a system of equation?

A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.

For the given situation,

Peter sold a cup of lemon juice = $1.25

Peter sold a cup of apple juice =  $2.50

Total number of cups sold = 155 cups

Total amount = $256

Let number of cup of lemon juice be x and

let number of cup of apple juice be y

The equations for the above statements are

[tex]x + y = 155 ------- (1)\\1.25x +2.50y = 256 ------- (2)[/tex]

From equation 1,

⇒ [tex]x=155-y[/tex]

Now substitute x in equation 2,

⇒ [tex]1.25(155-y)+2.50y=256[/tex]

⇒ [tex]193.75-1.25y+2.50y=256[/tex]

⇒ [tex]1.25y=256-193.75[/tex]

⇒ [tex]1.25y=62.25\\[/tex]

⇒ [tex]y=\frac{62.25}{1.25}[/tex]

⇒ [tex]y=49.8[/tex] ≈ [tex]50[/tex]

Now substitute y in equation 1,

⇒ [tex]x=155-50[/tex]

⇒ [tex]x=105[/tex]

Hence we can conclude that the number of cup of lemon juice is 105 cups and number of cup of apple juice is 50 cups.

Learn more about the system of equation here

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Answer:

x p t^2

p = 0

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extraño

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Step-by-step explanation:

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Answer:

use the formula a^3+b^3= (a+b)-3ab(a+b)

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A rectangle has a perimeter of 50m, the ratio between the two side is 32 . Caculator the area of that rectangle?

Answers

Answer:

Area of rectangle = 150 cm

Step-by-step explanation:

Given the following data;

Ratio = 3:2 Perimeter = 50m

To find the area of the rectangle;

First of all, we would determine the dimensions (length and width) of the rectangle;

For length;

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For width;

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expression using x = 6:
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Anyone know the answer

Answers

Answer:

152

Step-by-step explanation:

Substitute the given value for x.

[tex]8(3(6)+1)\\8(18+1)\\8(19)\\152[/tex]

Answer:

152

Step-by-step explanation:

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8(3*6+1)

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Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

? ≈ 37°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{4}{5}[/tex] ) ≈ 37° ( to the nearest degree )

David bought a used Dodge Challenger for $14,000. The value of the car depreciates 11% per year from the time he bought the car. Write a function that represents the value of David's car, V(t), after t years.

Answers

Answer:

V(t) = 14,000(0.89)^t

Step-by-step explanation:

Present value of the Dodge Challenger = $14,000

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4x = 24 but then 24 = y

Find the measures of angles​ 1, 2, and 3.
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Answers

Answer:

16

Step-by-step explanation:

using BODMAS rule

6 + 16 - 12 + 9 - 3............step 1

22 - 3 - 3....…...................step 2

16

the perimeter of a right angled triangle is 60 cm and its area is 120cm².find the lengths of the triangle.​

Answers

Step-by-step explanation:

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Answers

Answer:

C

Step-by-step explanation:

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Answer:

The final answer, D

Step-by-step explanation:

Source: Done this question before

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Answer:

B

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Review the table of values for function f(x).

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Answers

Answer:

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Step-by-step explanation:

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regroup and factorise:
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Answers

Regrouping

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Answers

see the attachment hope this helps you

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PLZZZ

Answers

Answer:

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Step-by-step explanation:

Triangle

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Answers

Hope this photo helps

Answer:

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Step-by-step explanation:

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Answers

Actually its false

In algebra 4x and 4x² are two different terms and are not like terms.

Must click thanks and mark brainliest

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Answers

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Explain the steps necessary to convert a quadratic function in standard form to vertex form.

Answers

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

Answer:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

Step-by-step explanation:

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LOL

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Step-by-step explanation:

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Answers

Answer:

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The chance of solving a problem by A and B is and 1/3 and 2/5 respectively. What is the probability the problem will be solved?
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b)1
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d)11/15
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Answers

We want to compute the probability P(A or B) because we could either solve it following path A, path B, or doing both paths.

P(A) = 1/3

P(B) = 2/5

P(A and B) = P(A)*P(B)  assuming A,B are independent

P(A and B) = (1/3)*(2/5)

P(A and B) = 2/15

--------

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 1/3 + 2/5 - 2/15

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We could reduce this to 3/5, but it appears your teacher has chosen not to.

I need help with this someone help me out

Answers

Answer:

answer is 10 (very easy)

Answer:

380. 1

Step-by-step explanation:

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i dont know if this help you or not

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Answers

Answer:

A. p2=16

soln:

p=4×4=16

so,

p2=16

If you open an already created budget Excel spreadsheet, what is one feature it has when calculating amounts?

A) There isn't an already created budget Excel spreadsheet.

B) Formulas are already included that will calculate the totals for you.

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Answers

Formulas are already included that will calculate the totals for you.

Correct answer gets brainliest and 5 stars

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Answer:

Does the answer help you?

What's bigger 3.05kg or 3.56

Answers

Answer:

3.56

Step-by-step explanation:

Brainly wants me to write more but that's the answer


A factory inspector found flaws in 3 out of 18 wooden boxes. What is the experimental probability that the next wooden box will be flawed?
Write your answer as a fraction or whole number.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{1}{6}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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