1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kiruha [24]
3 years ago
12

Create and solve a system of equations for the following scenario: 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?
Mathematics
1 answer:
mixas84 [53]3 years ago
5 0

So x + y = 45, and 4x + 5y = 195. Get y by itself. Subtract x from both sides in the first equation to get y = 45 -x, and subtract 4x from the second equation to get 5y = 195 - 4x. Divide by 5 to both sides to get y = 39 - 4/5x. 39 - 4/5x = 45 - x. Add x to both sides to get 39 - 1/5x = 45. Subtract 39 from both sides to get -1/5x = 6. Divide by -1/5 to get x = -30, or 30. In the first equation, do 30 + y = 45. Subtract 30 from both sides to get y = 15. Check. 4(30) + 15(5) = 195, or 120 + 75 = 195.


You might be interested in
Which of the following options is a 3rd degree polynomial with exactly 1 real
lidiya [134]

Answer:D

Step-by-step explanation:

5 0
3 years ago
Penguins spend almost 75% of their lives in the sea. An Emperor Penguin in the wild has a life span of about 18 years. About how
svp [43]
About 13.5 years 

Hope this helped! :)
4 0
3 years ago
Read 2 more answers
Use compatible numbers to estimate the quotient 2,545÷4
victus00 [196]

Answer:

600

Step-by-step explanation:

round 2,545 to 2,400 and keep 4 the same because 24 goes into 4 six times so 2400/4 equals 600  

24/4 is 6 and you add the two zeros

3 0
3 years ago
I need help!! I'll report if wrong ​
ss7ja [257]

Answer:

23

Step-by-step explanation:

2+2+3+4+5+6 = 23

3 0
2 years ago
What is the solution to the system of equations below?
AnnyKZ [126]

Answer:

x=9, y=3

Step-by-step explanation:

-4x+6y=-18

y=-2x+21

-4x+6(-2x+21)=-18

-4x-12x+126=-18

144=16x

x=9

y=-2x+21

y=-18+21

y=3

8 0
3 years ago
Other questions:
  • Please help im having trouble with this one
    5·2 answers
  • I really need help with this problem!!
    15·1 answer
  • Write 42.5% as a decimal. (be sure to put the zero before the decimal point.)
    10·1 answer
  • Un padre para estimular a su hijo para estudiar matemáticas le dice: por cada ejercicio que resuelvas bien te daré 7 € y por cad
    8·1 answer
  • Natalie purchased a used car for $12, 200 and had to pay 83 % sales tax. How much tax did she pay?
    5·1 answer
  • One number to three times another number is 24. Five times the first number added to three times the other number is 36. Find th
    5·1 answer
  • Trace needs a new carpet for her house the living are is an open floor plan of a dining room 6 feet c 4 feet sitting area 10 fee
    8·1 answer
  • 6w + 2(4w - 7) simplified​
    9·2 answers
  • question is in the picture 9 What is the solution set of 7? -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 X -7 -6 -5 -4 -3 -2 -1 0 1 2 3
    12·1 answer
  • Solve the equation for the y-value and choose whether it is a direct variation or inverse variation.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!