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Travka [436]
3 years ago
11

Is 64x15=32x30 true or false

Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

the equation is true,

the answer is 960

64x15 = 960

32×30= 960

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Someone can help me for all the question ?
Dvinal [7]

Answer:

1. 5

2. 3 adult tickets; 2 child tickets

3. See below

Step-by-step explanation:

1.

2 adult tickets cost 2 × $12 = $24

Subtract $24 from $64:

$64 - $24 = $40

Divide $40 by $8:

$40 ÷ $8 = 5

Answer: 5 child tickets

2.

x = number of adult tickets

y = number of child tickets

The total number of tickets is 5, so the first equation is:

x + y = 5

The cost of x adult tickets is 12x. The cost of y child tickets is 8y. The total cost is 12x + 8y. We are told the total cost is $52. The second equation is:

12x + 8y = 52

The system of equation is:

x + y = 5

12x + 8y = 52

Let's solve it by substitution.

Solve the first equation for x.

x = 5 - y

Now we substitute x in the second equation by 5 - y.

12(5 - y) + 8y = 52

Distribute:

60 - 12y + 8y = 52

Combine like terms on the left side:

-4y + 60 = 52

Subtract 60 from both sides:

-4y = -8

Divide both sides by 4.

y = 2

Substitute y = 2 in the first original equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

Answer: 3 adult tickets; 2 child tickets

3.

The customer's claim is incorrect. His sum is $71. 71 is an odd number. Since all ticket prices are even numbers, it is impossible to add only even numbers and get an odd sum. A sum of several amounts of 12 and several amounts of 8 can never equal 71.

We can also show his claim is false using a system of equations.

x + y = 7

12x + 8y = 71

Use substitution.

x = 7 - y

12(7 - y) + 8y = 71

84 - 12y + 8y = 71

84 - 4y = 71

-4y = -13

y = 3.25

This means 3.25 child tickets. The problem states that tickets can be purchased only in whole numbers, so 3.25 tickets cannot be purchased, so the customer's claim is false.

4 0
2 years ago
Use the formula P = 2 l + 2 w to find the length l of a rectangular lot if the width w is 40 feet and the perimeter P is 200 fee
jeyben [28]

Answer:

l = 60 feet

Step-by-step explanation:

use the equation and plug in the width(40 feet) for w and perimeter(200 feet) for p.

200 = 2l + 2(40)

then solve for l

200 = 2l + 80

120 = 2l

l = 60 feet

5 0
3 years ago
Is 5.787 repeating a rational or irrational number explain
Delvig [45]

Might be repeating if it is 5.78787878

because the number will always be the same when subtracting

4 0
3 years ago
What is 1004.8 rounded to nearest tenth
Tems11 [23]
That's already rounded to the nearest tenth
8 0
3 years ago
Read 2 more answers
The sum of 4 consecutive integers is 270. Whats is the smallest integer
Montano1993 [528]

Answer:

66

Step-by-step explanation:

let's suppose our smallest integer is x

that means x + (x+1) + (x+2) + (x+3) = 270

4x + 6 = 270

4x = 264

x = 66

our smallest int is 66

3 0
3 years ago
Read 2 more answers
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