MATHEMATICS MIDDLE SCHOOL

A man and his three children spent $40 to attend a show. A second family of three children and their two parents spent $53 for the same show. How much does a child’s ticket cost?

Answers

Answer 1

Answer:

Answer:

The cost per child is $9

Step-by-step explanation:

x + 3y = 40

2x + 3y = 53

x = 40 - 3y

2(40-3y) + 3y = 53

80 -6y + 3y = 53

80 - 3y = 53

-3y = 53 - 80

-3y = -27 (divide both sides by -3)

y = 9

This means that the cost per child is $9

Now solve for x

x = 40 - 3y

x = 40 - 3 (9)

x = 40 - 27

x = 13

Cost per parent is $13.

Answer 2

Answer:

It's $7

Step-by-step explanation:

7+7+7= 21 and add two $16 tickets and that's $53

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solve the equation if 0 degrees is less than or equal to x which is less than or equal to 360 degrees. cos x= -1/2

Find the measure of angles 1–12 in the complex figure. Explain how you found each angle measure.•line a || line b
•line c || line d
•segment EG || line e

Answers

I'll start with the triangle figure.
Interior angles of a triangle is equal to 180°. The given triangle is an Isosceles triangle. It has 2 equal sides and 2 equal angles.

#7 is 69° because its vertical angle is 69°. Vertical angles are equal.
#8 is 111°. As I said, isosceles triangle has 2 equal angles. The angle that is beside #8 is 69°, equal to #7. So, 180° - 69° = 111°
Interior angles are already given except for #4. So, 180° - 69° - 69° = 42°
#3 is computed by 180° - 42° - 69° = 69°

#9 = 116° ; alternate interior angles are equal.
#10 = 180° - 116° = 64°

The last triangle looks like an equilateral triangle. It means that its sides and angles are equal.

360° / 6 = 60°
#1, #2, #5, and #6 = 60° each
#11 = 60° - equilateral triangle, all interior angles are equal.
#12 = 30°; 180° - 90° - 60° = 30°

there are 350 students at miller middle school 12/25 of the students are girls.how many students are boys

Answers

There are 350 students at miller middle school. - it's 25/25
Girls - 12/25 of the students
This means that 25/25-12/25=13/25 of the students are boys.
350*13/25=182 students are boys.

A rug covers 1/4 of the floor.The area of the rug is 10ft what is the area of the floor?

Answers

the area of the floor is 40 square ft

The area of the rug is 10ft

let the floor area x

so according to the question, x/4 = 10 so the area of the floor is x=40ft (ans)

What is the surface are of a storage b

Answers

about 50% or more it can't be less

What is 97.356 in base ten numerals

Answers

97.356

ninety seven and three hundred fifty six thousandths

19. DODECAHEDRON A dodecahedron has twelve sides numbered1 through 12. Find the probability and describe the likelihood
of each event.
a. Rolling a number less than 9
b.rolling a multiple of 3
c.rollinh a number grrater than 6

Answers

The probability of rolling a number less than 9 is P ( A ) = 2/3

The probability of rolling a multiple of 3 is P ( B ) = 1/3

The probability of rolling a number greater than 6 is P ( A ) = 1/2

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Rolling a number less than 9

There are 8 numbers less than 9 on the dodecahedron (1, 2, 3, 4, 5, 6, 7, and 8), out of a total of 12 numbers. So the probability of rolling a number less than 9 is:

P(rolling a number less than 9) = 8/12 = 2/3

The likelihood of rolling a number less than 9 is relatively high, as 2 out of every 3 rolls will result in a number less than 9.

Therefore , the probability is P ( A ) = 2/3

Rolling a multiple of 3

There are 4 multiples of 3 on the dodecahedron (3, 6, 9, and 12), out of a total of 12 numbers. So the probability of rolling a multiple of 3 is:

P(rolling a multiple of 3) = 4/12 = 1/3

The likelihood of rolling a multiple of 3 is moderate, as only 1 out of every 3 rolls will result in a multiple of 3.

Therefore , the probability is P ( B ) = 1/3

Rolling a number greater than 6

There are 6 numbers greater than 6 on the dodecahedron (7, 8, 9, 10, 11, and 12), out of a total of 12 numbers. So the probability of rolling a number greater than 6 is:

P(rolling a number greater than 6) = 6/12 = 1/2

The likelihood of rolling a number greater than 6 is relatively high, as 1 out of every 2 rolls will result in a number greater than 6.

Therefore , the probability is P ( C ) = 1/2

Hence , the probability is solved

To learn more about probability click :

brainly.com/question/17089724

#SPJ2

Answer:

a = 8/12 (2/3)

b = 4/12 (1/3)

c = 6/12 (1/2)

Step-by-step explanation: