2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large
cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each
type did she sell?

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf 98 \ Small \ Cups}}\\\\\boxed {\boxed {\sf 57 \ Large \ Cups}}[/tex]

Step-by-step explanation:

Let's make a system of equations.

First, define the variables.

Let s= small cups and g= large cups

Next, make 2 equations. 1 for the money and 1 for the number of cups.

Money

A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265. 1.25s+2.50g=265

Number

A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155. s+g=155

Here is our system of equations:

[tex]1.25s+2.50g=265 \\s+g=155[/tex]

Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.

Subtract g from both sides of the equation. s+g=155 s+g-g=155-gs=155-g

Now we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.

[tex]1.25s +2.50g=265[/tex]

[tex]1.25(155-g)+2.50g=265[/tex]

Distribute the 1.25

1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g

[tex]193.75-1.25g+2.50g=265[/tex]

Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.

[tex]193.75-1.25g+2.50g=265-193.75[/tex]       (Subtract 193.75)

[tex]-1.25g+2.50g=265-193.75[/tex]      

[tex]1.25g=71.25[/tex]      (Combine like terms).

1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25

[tex]1.25g/1.25=71.25/1.25\\g=71.25/1.25\\g=57[/tex]

Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.

[tex]s+g=155[/tex]

[tex]s+57=155[/tex]

Subtract 57 from both sides of the equation to isolate the variable, s.

[tex]s+57-57=155-57\\s=155-57\\s=98[/tex]

Ashley sold 57 large cups and 98 small cups.

Answer 2

small cup she sold = x = 98

large cup she sold = y =57


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Step-by-step explanation:

Option C 3 is the correct answer

Answer:

3

Step-by-step explanation:

1. Simplify -4 + 7 to 3.

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Answer:

A. y=1/3x+1

Step-by-step explanation:

When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Done

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Answer:

Step-by-step explanation:

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48.3

Step-by-step explanation:

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Answer:

48.3 is the answer.

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

Essentially, you are just multiplying and adding.

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36 + 12.3 =

48.3

This means that the equation bc + 12.3 is equal to 48.3.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

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Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answers

Answer:

400 student

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CROSS MULTIPLY

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The total number of students at the King School is 440.

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Convert first:

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Answers

Answer:

275 m/s2

Step-by-step explanation:

I know because I had this question in a test and got it correct.

Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².

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A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.

From Newton's Second Law, force is expressed as;

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

d. 0.08

Step-by-step explanation:

52 cards in a deck of cards. 26 are red. there are 2 red kings. 2/26= 0.076 which rounds up to 0.08

Half the cards (26) are red

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Answer:

Step-by-step explanation:

1950

Answer:

1,950

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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