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2 years ago

Which property is illustrated? x+y=x+y

Mathematics

1 answer:

Sholpan [36]2 years ago

7 0

Answer:

commutative property of addition

Step-by-step explanation:

commutative property of addition "a + b = b + a"

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Approximately how many square inches of space are blank?

ddd [48]

Answer:

blank area = 1.5π units²

Step-by-step explanation:

area of full circle = πr² = π6² = 36π units²

blank area = (15/360)(36π) = 1.5π units²

3 0

2 years ago

Can we form a dad issues club here? K thanks lol

Anna007 [38]

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2 years ago

Read 2 more answers

A movie theater has a seating capacity of 197. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

yarga [219]

Answer: 74 children attended

86 students attended

37 adults attended

Step-by-step explanation:

Let x represent the number of children that attended.

Let y represent the number of students that attended.

Let z represent the number of adults that attended.

The movie theater has a seating capacity of 197. It means that

x + y + z = 197- - - - - - - - - - - - -1

The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. If the total ticket sales was $ 1416, It means that

5x + 7y + 12z = 1416- - - - - - - - - - 2

There are half as many adults as there are children. It means that

It means that

z = x/2

x = 2z

Substituting x = 2z into equation 1 and equation 2, it becomes

2z + y + z = 197

y + 3z = 197- - - - - - - - - - - - -3

5 × 2z + 7y + 12z = 1416

10z + 7y + 12z = 1416

7y + 22z = 1416- - - - - - - - - - - 4

Multiplying equation 3 by 7 and equation 4 by 1, it becomes

7y + 21z = 1379

7y + 22z = 1416

Subtracting, it becomes

- z = - 37

z = 37

x = 2z = 2 × 37

x = 74

Substituting x = 74 and z = 37 into equation 1, it becomes

74 + y + 37 = 197

y = 197 - 74 - 37

y = 86

5 0

2 years ago

A shipment of 11 printers contains 2 that are defective. Find the probability that a sample of size 2, drawn from the 11, will

svet-max [94.6K]

The required probability is $\frac{36}{55}$

Solution:

Given, a shipment of 11 printers contains 2 that are defective.

We have to find the probability that a sample of size 2, drawn from the 11, will not contain a defective printer.

Now, we know that, $\text { probability }=\frac{\text { favourable outcomes }}{\text { total outcomes }}$

Probability for first draw to be non-defective $=\frac{11-2}{11}=\frac{9}{11}$

(total printers = 11; total defective printers = 2)

Probability for second draw to be non defective $=\frac{10-2}{10}=\frac{8}{10}=\frac{4}{5}$

(printers after first slot = 10; total defective printers = 2)

Then, total probability $=\frac{9}{11} \times \frac{4}{5}=\frac{36}{55}$

7 0

3 years ago

The ratio of in-state to out-of-state visitors to the amusement park was 4 to 3. If there were 14,000 visitors to the park, how

exis [7]

Answer:

6000 people

Step-by-step explanation:

Given the ratio of in-state to out-of-state visitors to the amusement park was 4 to 3, the total ratio will be 4+3 = 7

Total visitors in the park = 14,000 visitors

Number of people that were out of state = 3/7 * 14000

Number of people that were out of state = 3 * 2000

Number of people that were out of state = 6000

Hence there were 6000 people out of state.

8 0

2 years ago