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ratelena [41]
3 years ago
15

two families bought tickets for a game. one family paid $71 for 6 adults and 2 children. another family paid $56.50 for 4 childr

en and 3 adults. how much do the tickets cost.
Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

Adult Ticket cost $9.50 and Children Ticket cost $7.00

Step-by-step explanation:

Let single adult tickets cost "a" and single children ticket cost "c"

6 adult and 2 children ticket is $71, we can write:

6a + 2c = 71

Also,

3 adult and 4 children tickets cost $56.50, so we can write:

3a + 4c = 56.5

We multiply 2nd equation by "-2", to get:

-2 * (3a + 4c = 56.5) = -6a -8c = -113

Now we add this equation with 1st and eliminate a and solve for c:

6a + 2c = 71

-6a -8c = -113

-------------------

-6c = -42

c = -42/-6

c = 7

To find a, we can plug this into 1st equation and then get our answer.

6a + 2c = 71

6a + 2(7) = 71

6a + 14 = 71

6a = 57

a = 57/6

a = 9.5

Hence,

Adult Ticket cost $9.50 and Children Ticket cost $7.00

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The floor of a rectangular cage has a length 4 feet greater than its width, w. James
guajiro [1.7K]

Answer:

x² + 8x + 12

Step-by-step explanation:

Area of a rectangle = length × width

Original dimensions:

Width = x

Length = x + 4

James will increase both dimensions of the floor by 2 feet

New dimensions:

Width = x + 2

Length = x + 4 + 2

= x + 6

Area of the new rectangle = length × width

= (x + 2) × (x + 6)

= x² + 6x + 2x + 12

= x² + 8x + 12

Equation which represents the

new area, N, of the floor of the cage = x² + 8x + 12

3 0
3 years ago
What is the equation, in point-slope form, for a line that goes through (2, -6) and has
sdas [7]
Answer: D

Explanation:

Point slope form:

(y - y1) = m(x - x1)

Coordinate given = (2,-6)
Slope = 3/5

Thus:
(y -(-6)) = 3/5(x - 2)
y + 6 = 3/5(x - 2)
6 0
3 years ago
Please help i tried so hard and its not right
garik1379 [7]

Answer:

<u>10.75%</u>

Step-by-step explanation:

so, you need the total price, which would be 17,850+2,150=20,000 as the whole price of the car, then you need to find what precent 2,150 is of 20,000. then use this formula for finding the precent.

2150/20000 times 100%=10.75%

8 0
2 years ago
Read 2 more answers
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements a
Anni [7]

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d)  Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

4 0
3 years ago
Please Help Thank You So Much
VikaD [51]

Answer:

all the possible values of y - x are 4 and 5

all possible values of x/y = 1

6 0
3 years ago
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