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

Answers

Answer 1

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.


Related Questions

2. What is the quotient if you divide 15 1/3 by 18/23​

Answers

it would be 529/27 i believe

6.333 x 10^2



HHHEEEEELLLLLLLPPPPP!

Answers

Answer:

See Below

Step-by-step explanation:

6.333 x 10^2

10^2 = 100

since there is 2 zeros, move the decimal to the right twice.

633.3

633.2
Pls mark me as brainliest

9 - 5k = 12 - (6k + 7)
help

Answers

Answer:

k = 10

Step-by-step explanation:

9 - 5k = 12 - (6k + 7)

open the parenthesis

9 - 5k = 12 - 6k - 7

add 6k to both sides of the equation

9 - 5k + 6k = 12 - 6k - 7 + 6k

combine like terms

9 + k = 19

subtract 9 from both sides of the equation

9 + k - 9 = 19 - 9

k = 10

state which of the following sets of ordered pairs represents a function. Please pick the best option
Set A: (5, 2), (4, 3), (3, 4), (2, 5) Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8, 4)
a. Set C
b. Set B
c. Set A
d. Set A and Set B

I would really appreciate it if you could help me out!

Answers

Answer:

set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range

If you spend 540 minutes per year waiting in lines, how many hours is this?

Answers

Answer:

540 minutes in hours =540/60

=9 hours

The time 540 minutes in hours will be 9 hours.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the time is 540 minutes. The value of time in hours will be calculated as,

The time of 60 minutes is equal to 1 hour. So divide the time 540 minutes by 60 minutes.

Time = 540 / 60

Time = 9 hours

To know more about an expression follow

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Use the Slope Formula to find the slope of the line with points (1,-4) and (-3,3)

Answers

Answer:

-7/4

Step-by-step explanation:

Since we have two points we can use the slope formula

m = ( y2-y1)/(x2-x1)

  = ( 3 - -4)/( -3 -1)

  ( 3+4) / ( -3 -1)

   7/-4

   -7/4

PLEASE HELP

Logan bought a baseball bat on a trip. The baseball bat is 29 inches long.


Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.

Answers

Answer:

Use a^2 + b^2 = c^2 and substitute

18^2 + 24^2 = c^2

Solve what we know

324 + 576 = c^2

324 + 576 = 900

Square root 900 to get C

sqrt of 900 equals 30

So, yes he can fit the baseball bat in his suitcase

Please include an explanation.


"a" varies directly as the square of "b" and inversely as the cube of "c". If a=171 when b=8 and c=9, find a if b=9 and c=6. Round your answer to two decimal places if necessary.

Answers

Answer:

a = 730.43

Step-by-step explanation:

The formula for this type of problem is [ a = kb²/c³ ].

We are given a = 171, b = 8 and c = 9.

Solve for k.

171 = k(8)²/(9)³

k = 1947.80

Solve for a since we found k using b = 9 and c = 6.

a = (1947.80)(9)²/6³

a = 730.425

Round to the nearest hundredth.

730.425 → 730.43

Best of Luck!

Answer:

730.42

Step-by-step explanation:

a varies directly with the square of b, and inversely with the cube of c.  Therefore:

a = k b² / c³

where k is the constant of proportionality.

a = 171 when b = 8 and c = 9.  So the value of k is:

171 = k (8)² / (9)³

k ≈ 1947.8

So the value of a when b = 9 and c = 6 is:

a = 1947.8 (9)² / (6)³

a ≈ 730.42

What is 797 rounded to the nearest ten?

Answers

Answer: 800

Step-by-step explanation:

If ΔABC ≅ ΔEDF where the coordinates of A(−1, 1), B(2, 4), and C(3, 1), what is the measure of EF?

3
3.2
4
4.6

Answers

Answer:

4 is the correct answer.

Step-by-step explanation:

If you're taking FLVS math then this is the right answer, I got it correct on my test.

The required measure of EF is 4. Option c is correct.

ΔABC ≅ ΔEDF
A(−1, 1), B(2, 4), and C(3, 1).

What are congruent geometry?

In congruent geometry, the shapes that are so identical. Can be coincide to themselves.

Here,
ΔABC ≅ ΔEDF
SO, AC = EF
EF = [tex]\sqrt{(3+1)^2+(1-1)^2 }[/tex]
EF = 4

Thus, the required measure of EF is 4.

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Can someone help ? Thankssss

Answers

Answer:

im not sure but I think is c

You launch a model rocket that has a mass of 1 kg. At a height of 500 m, it is
traveling at 120 m/s. What is its kinetic energy at this point?
A. 7,200 J
B. 60 J
C. 14,400 J
D. 29 J
This is for apex i need help asap

Answers

Its A. 7,200 joules.

A recipe uses 5 cups of flour for every 2 cups of sugar.
How much flour is used for 1 cup of sugar

Answers

Answer:

2.5

Step-by-step explanation:

If the ratio is 5:2, then you just have to divide 5 / 2.

5 / 2 = 2.5

Answer:

If 5 cups of flour= 2 cups of sugar

1 cup=1×2/5

        =2/5

Step-by-step explanation:

Solve 6y + 2x = 14 for x.

Answers


X= 7-3y

X has to be on one side

6y+2x =14
2x= 14-6y
X= 7-3y

Now we can plug that into the original equation (check)

6y + 2(7-3y)
6y+ 14-6y
14=14

X= 7-3y

Hope this helps!

how can you work with anybody annoying you white your working at home on a test?

Answers

Take a breather, you probably feel very stressed and annoyed. Move to a quieter place and try to focus. Remove any distractions near you and remember you can do it!!!

Determine whether the following graph represents a function.


PLZ HELP!! the picture is above

Answers

Answer:

yes it is a function

Step-by-step explanation:

The answer to your question is yess .

What is the equation of this line? (shown in picture)

A. Y = -1/4x

B. Y = 4x

C. Y = -4x

D. Y = 1/4x

Answers

The answer is B. Hope this helped.

Which point is on the line that passes through point Z and is perpendicular to line AB? (–4, 1) (1, –2 ) (2, 0) (4, 4)

Answers

Answer:

the answer is (-4,1)

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Divide. Round your answer to the nearest whole number.
5,481 - 0.605

Answers

Answer:

Step-by-step explanation:

It matters what the order is when you do the rounding.

5481 = 5500

0.605 = 1

The rounded answer is 5500 / 1 = 5500

However if you do the question and then round you get a much closer answer.

5481 ÷ 0.605 = 10712

Evaluate the distance from -4 to 8.

Answers

Answer:

12

Step-by-step explanation:

-4 + 4 = 0

0 + 8 = 8

4 + 8 = 12

A can of fruit contains 411 grams. One gram is approximately 0.035 ounces. About how many ounces does the can contain?

Answers

Answer:

14.385 ounces

Step-by-step explanation:

Converting grams to ounces:

1g ----- 0.035 ounces

411g ----- ?

Since we multiply 411 to the left hand side, multiply the left hand side by 411 too.

411g

= 0.035(411) ounces

= 14.385 ounces

Thus, the can contains 14.385 ounces of fruit.

The greatest comen factor of 21, 30,49

Answers

The greatest common factor for 21 is 7
For 30 is 15
49 is 7

I’m no totally sure but i think that is right

Is <1 and <7 supplementary

Answers

Yes

Angle 1 and angle 4 add up to 180 degrees because they are on the same straight line split into two parts, and a straight line is 180 degrees. Angle 4 and angle 7 are corresponding angles, which means they occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal. Supplementary angles mean that any two angles add up to 180 degrees. Since 4 and 7 are corresponding, 1 and 7 must be supplementary

long division help :)
I’m confused

Answers

Answer:

the answer is 27

i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0

this is my statement and i did this on paper and got this right!

Answer:

27

Step-by-step explanation:

See photo below

The cost of a pair of shoes was reduced from $60 to $45.

By what percent did the cost of the pair of shoes decrease?


A 2.5%

B 25%

C 30%

D 35%

Answers

Answer:

B. 25%

Step-by-step explanation:

25 percent of 60 would be 15, then if you subtract 15 from 60, you end up with 45, meaning that 25 percent was subtracted.

The percentage is the ratio of change with respect to the original thus cost of a pair of shoes has been reduced by 25% thus option (B) will be correct.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The initial cost of a pair of shoes = $60

Final cost of a pair of shoes = $45

Change in cost = 60 - 45 = 15

The percentage change = change / initial value

Percentage = 15/60

⇒ 0.25 × 100 = 25%

Hence "The cost of a pair of shoes has been reduced by 25%".

For more about the percentage,

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Hello, if someone can help me with this question that would be great!

Answers

Answer:

y = -5x+0

or y = -5

because the gradient is -5 and the y intercept is 0

Is 2|12 true or false

Answers

Answer:

true

Step-by-step explanation:

Because it is

Evaluate 4m+23+n/p−3, when m=7, n=2, and p=8.

Answers

Answer:

48 1/4

Step-by-step explanation:

plug in the values of m,n,p

4*7+23+2/8-3

= 28+23+1/4-3

= 28+23-3+1/4

= 28+20+1/4

= 48 1/4

There are 150 people in a school dance. The ratio of adult to students is 2: 3. How
many adults are in the dance ?

Answers

Answer:

60 adults

Step-by-step explanation:

There are 60 adults in the dance because as we have 150 people and the ratio of adults to students is 2:3, we need to add 2+3=5. Now we have 5 parts, so 150÷5=30. This means that there are 30 people per part, and as adults hold 2 parts of it, 30 x 2=60. So, there are 60 adults in the dance. Hope it helps!

A grocery store sells a bag of 5 oranges for $3.00. What is the cost of oranges, in dollars per orange? On the double number line below, fill in the given values, then use multiplication or division to find the missing value

Answers

Answer:

0.6

Step-by-step explanation:

5:3

x:1

3x=5

x=0.6

0.6 or 0.60 basically 60 cents because 60x5= 300 or 3.00
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