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Papessa [141]
3 years ago
9

Luke and Leia are selling hot dogs and hamburgers at a minor league baseball game. At the end of the day they determine they hav

e sold a total of 45 items and earned $195. If hot dogs cost $4 and hamburgers cost $5, how many did they sell of each?
What would be a system of equations for the scenario above?
Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer:

15 hamburgers were sold and 30 hotdogs were sold.

The systems of equations are x + y = 45 and 4x + 5y = 195.

Step-by-step explanation:

Let's make two equations.

x + y = 45

This represents the total of hotdogs and hamburgers sold

4x + 5y = 195

This represents the amount of money made for each food.

These are systems of equations, when you use 2 equations to solve a problem. I will use the strategy, Elimination for the following systems of equations. Anyways the goal is to multiply a number to x + y = 45 to cancel out one of the variables in 4x + 5y = 195. In other words, when we add these equations, the sum of the xs or ys will equal 0.

Let's multiply -5 to both x and y.

Now we have -5x -5y = -225 + 4x + 5y= 195

We will end up with -x = -30. This means that x = 30.

Now that we know x = 30, we can plug in 30 as x in one of the equations. I will plug in 30 into x + y = 45. 30 + y = 45.

Solve for y in 30 + y = 45, so y=15.

This means 15 hamburgers were sold and 30 hotdogs were sold.

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Jason owns a small business selling bagels. He knows that in the last week 45 customers paid cash, 8 customers used a debit card
tatuchka [14]

The probability that the next customer will pay with cash is 0.76

<h3>What is the probability?</h3>

Formula to find the probability of an event is:

P(A) = n(A)/n(S)

where;

n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment/survey

We are given that;

45 customers paid cash

8 customers used a debit card

6 customers used a credit card.

Thus, the total number of customers:

n(S) = 45 + 8 + 6

n(S) = 59

Let event A be the event that the next customer will pay with cash. Thus, n(A) = 45

Therefore, the probability that the next customer will pay with cash would be;

P(A) = n(A)/n(S)

P(A) = 45/59

P(A) = 0.76

Read more about Probability at; brainly.com/question/23047865

#SPJ1

7 0
2 years ago
How do I find the scale factor
iris [78.8K]
You write it as a ratio eg. SF(large→small)=20:7

4 0
3 years ago
Janet had 3/5 yd of material. she used 1/3 of it for a hat. How much material did she use? explain how you got your answer.
9966 [12]

Answer:

Think of the total as 1/5 + 1/5 + 1/5 = 3/5

You have THREE fifths of material.

You use ONE of those fifths.

That leaves you with TWO fifths.

Step-by-step explanation:

8 0
3 years ago
HELP I NEED HELP ASAP
Tpy6a [65]

Answer:

I think it's -14

Step-by-step explanation:

x = 0 so the x won't be included but

-2 • x = -2x

-12 • x = -12x

-2x + (-)12x = -14

hope this helps :)

7 0
3 years ago
Divide: −72 ÷ 9 = A) −8 B) −7 C) −6 D) 7
Lisa [10]

Answer:

-8

Step-by-step explanation:

-72 / 9 = -8

7 0
3 years ago
Read 2 more answers
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