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
allochka39001 [22]
3 years ago
5

At a carnival, food tickets cost $2 each and ride tickets cost $3 each. A total of $1,240 was collected at the carnival. The num

ber of food tickets sold was 10 less than twice the number of ride tickets sold.
The system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

How many of each type of ticket were sold?
Mathematics
1 answer:
beks73 [17]3 years ago
6 0
If you have to unknown variables, you have to eliminate one, e.g. Like this:
2×(2y-10)+3y=1240. Now there is only one unknown variable
4y-20+3y=1240
7y-20=1240
7y=1260
y=1260/7=180

Now you can calculate x
x=2y-10=2×180-10=360-10=350. ( You can also use the other equation but This one is easier)
You might be interested in
Find the values of a and b such that <br><br> x^2 + 2x - 7 = (x+a)^2 + b
hichkok12 [17]

Answer:

The values of a and b are 1 and -8

Step-by-step explanation:

Let us solve the question by comparing the two sides.

∵ x² + 2x - 7 = (x + a)² + b

→ Let us solve the bracket on the right side

∵ (x + a)² = (x)(x) + 2(x)(a) + (a)(a)

∴ (x + a)² = x² + 2ax + a²

→ Substitute it in the right side above

∴ x² + 2x - 7 = x² + 2ax + a² + b

→ Compare the like terms on both sides (terms of x², terms of x

   and numerical terms)

∵ The terms of x are 2x and 2ax

→ Equate them

∵ 2x = 2ax

→ Divide both sides by 2x

∴ \frac{2x}{2x} = \frac{2ax}{2x}

∴ 1 = a

∴ The value of a = 1

∵ The numerical terms are -7 and a² + b

→ Equate them

∵ -7 = a² + b

→ Substitute a by 1

∴ -7 = (1)² + b

∴ -7 = 1 + b

→ Subtract 1 from both sides

∵ -7 - 1 = 1 - 1 + b

∴ -8 = b

∴ The value of b = -8

∴ The values of a and b are 1 and -8

7 0
3 years ago
What is 83x8+4-9=<br> POR FAVOR AYUDA
Greeley [361]

Answer:

659

Step-by-step explanation:

664 + 4 - 9 = 659

4 0
3 years ago
What is the quiotent of 56/-7
andriy [413]
We know, divisor * quotient = Dividend 
-7 * q = 56
q = 56/-7
q = -8

So, your final answer is -8

Hope this helps!
5 0
4 years ago
24 - x = 32 , what is it he answer to this please !
Nutka1998 [239]

Answer:

- 8

Step-by-step explanation:

Step 1:

24 - x = 32

Step 2:

- x = 32 - 24

Step 3:

- x = 8

Answer:

x = - 8

Hope This Helps :)

4 0
3 years ago
Solve for n
Luden [163]
Well, what you need to figure out is what times 9 is 63. That would be 7. So n=7 :)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the equation of the line with slope=6 and passing through (8,51). Write your equation in the form y=mx+b.
    8·1 answer
  • What is the perimeter of a square that has an area of 1,459.24 square 7 meters
    9·1 answer
  • Hich is the lowest common denominator that would be used to add these four fractions?
    6·1 answer
  • Factor Xsquared +12x+27
    6·1 answer
  • Calculate: (6,666,666×666,666)/(1+2+3+4+5+6+5+4+3+2+1)− (777,777×777,777)/(1+2+3+4+5+6+7+6+5+4+3+2+1)
    6·1 answer
  • Find the linearization Upper L (x comma y )of the function f (x comma y )at Upper P 0. Then find an upper bound for the magnitud
    10·1 answer
  • Help I am currently in a unit test please answer this question
    6·1 answer
  • So the question is pythagorean triple <br><br> Please and Thanks
    9·2 answers
  • ¿Que es una diagonal?
    9·1 answer
  • PLS HELP (30 points)<br> Can you answer this Q???
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!