A theatre sells 1986 tickets. 234 more adult tickets are sold than child tickets, and 186 more child tickets are sold than student tickets. How many child tickets are sold?

Answers

Answer 1

Answer:

Answer:

646 child tickets are sold

Step-by-step explanation:

Let c represent the number of child tickets sold. Then (c-186) is the number of student tickets sold, and (c+234) is the number of adult tickets sold. The total number sold is ...

(c -186) + c + (c+234) = 1986

3c +48 = 1986 . . . simplify

c + 16 = 662 . . . . divide by 3

c = 646 . . . . . . . . . subtract 16

The number of child tickets sold is 646.

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Suppose is a semester that 38% of students at a college failed mathematics, 27% failed physics, and9% failed both. A student is selected at random. a)If a student failed physics, what is the probability that he or she failed math? b)If a student failed math, what is the probability he or she failed physics? c) What is the probability that he or she failed math or physics?
State the maximum and mini mum value of f(x)= x^2+9
Given equations A and B as 2/5x+y=12 and 5/2y-x=6 , respectively, which expression will eliminate the variable x?
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Answers

I think it should be c

If a baby is born at 6.6 lbs and 19 inches long, then what is the baby's weight in kg? Note (2.2 lb = 1 kg)Answer choices:
A. 4.0 kg
B. 3.0 kg
C. 14.52 kg
D. .33 kg
E. 8.6 kg

Answers

The correct weight of the baby is given by option B) 3.0 kg

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here, the baby's weight as 6.6 lbs and 1 lb=0.45 kg

Thus 6.6 lbs=6.6×0.45

= 3.0 ( approx)

Hence, The correct weight of the baby is given by option B) 3.0 kg

Learn more about the unitary method here:

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Answer:

Step-by-step explanation:

2.2lb = 1 kg

6.6/2.2=3.0kg

What is the cube root of 27x^18?

Answers

Answer:

Cube root of $27x^(18)$ is $3x^(6)$

Step-by-step explanation:

We need to find the cube root of the expression $27x^(18)$

Take a cube root over $27x^(18)$

$\sqrt[3]{27x^(18)}$

$\sqrt[3]{3^(3)(x^(6))^(3)}$

simplify the above expression,

$\sqrt[3]{(3x^(6))^(3)}$

$3x^(6)$

Hence, cube root of $27x^(18)$ is $3x^(6)$

here tell me if u can see the answer I put

How many triangles exist with the given side lengths?12 in, 15 in, 18 in
A) No triangle exists with the given side lengths.
B) Exactly one unique triangle exists with the given side lengths.
C) More than one triangle exists with the given side lengths.

Answers

According to triangle inequality theorem, “The sum of the length of two sides of a triangle should be greater than the third side”. In order to verify the mentioned theorem, some calculations are performed below.

12 + 15 > 18

15 + 18 > 12

12 + 18 > 15

As the triangle inequality theorem satisfied, so there is only one triangle possible with the given sides length. No more than one triangle is possible, because the angles are not given, and the sides length are fixed.

So option “B” is correct.

Answer:

it is b

Step-by-step explanation:

Suppose a city with population 500,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 11 years.

Answers

use compound interest formula.........m

Variable c is 5 more than variablea. Variable c is also 3 less than variable
a. Which pair of equations best models the relationship between c and a?

c = a − 5
c = a + 3

a = c + 5
a = 3c − 3

a = c − 5
a = 3c + 3

c = a + 5
c = a − 3

Answers

The pair of equations best models the relationship between c and a is option D : c = a + 5, c = a - 3

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given conditions are;

c is 5 more than variable a.

( c = a + 5)

c is also three less than variable a.

(c = a - 3)

Now, lets look at the answer choices,

c = a − 5

c = a + 3

Here, c is 5 less than "a". so it will be automatically disqualified.

a = c + 5

a = 3c − 3

So,

Simplified version :

c = a - 5

Here, c is 5 less than "a"..so it will be automatically disqualified.

a = c − 5

a = 3c + 3

Here also, we have to get "c" by itself in both top and bottom equation.

So,

Simplified version:

c = a + 5

Here, c is 5 more than "a"

c = (a - 3) / 3

thus, c is 3 less than "a" divided by 3 . So, this is not correct.

c = a + 5

c = a − 3

Here, c is 5 more than "A"

Also, c is 3 less than "a"

So, Which satisfies the given.

So, our answer is going to be the option D :

c = a + 5

c = a - 3

Learn more about equations here;

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First, let us restate the given conditions

c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)

Now, lets look at the answer choices and or given
c = a − 5
c = a + 3
Here, c is 5 less than "a"...so automatically disqualified

a = c + 5
a = 3c − 3
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified

a = c − 5
a = 3c + 3
Here also, we have to get "C" by itself in both top and bottom equation.
So,
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" divided by 3 . So, this is not correct

c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.

So, our answer is going to be the last one:

c = a + 5
c = a - 3

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