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Lady bird [3.3K]
3 years ago
15

Paul and Brett went to math class and were given the same expression to simplify. The expression they were given was 6 + 12 divi

ded by 2(3) + 1
Despite having the same expression, they each came up with different solutions.

Mathematics
1 answer:
Tresset [83]3 years ago
5 0

Solution: We know that:

Paul and Brett went to math class and were given the same expression to simplify. The expression they were given was 6 + 12 divided by 2(3) + 1.

Looking at the solution's by Paul and Brett, we clearly see that the Paul made a mistake at step 3.

6 + 12 ÷ 2(3) + 1

6 + 12 ÷ 6 + 1                       Correct

18 ÷ 6 + 1                             Incorrect  It should have been 6 + 2 +1

According to order of operation's rule, division needs to done before addition.

Therefore, solution by Paul carries a mistake, while the solution by Brett is correct.

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Max goes to school which is 5 miles away he skips 3/14 of the way and then walk the rest of the way how many miles does he skip​
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1.07142857143 (1 rounded)

Step-by-step explanation:

3/14 of 5 is 1.07142857143

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What is five billion two hundred fifty four million seventy one thousand nine hundred twenty six written in standard form
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5,254,071,926

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The expression
mafiozo [28]

Answer:

(2) x2+1+4/x+2

Step-by-step explanation:

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3 years ago
∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

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4 0
3 years ago
Use a Venn diagram to answer the question. A survey of 180 families showed that 67 had a​ dog; 52 had a​ cat; 22 had a dog and a
Mice21 [21]

Answer:

There are 13 families had a parakeet only

Step-by-step explanation:

* Lets explain the problem

- There are 180 families

- 67 families had a dog

- 52 families had a cat

- 22 families had a dog and a cat

- 70 had neither a cat nor a​ dog, and in addition did not have a​

 parakeet

- 4 had a​ cat, a​ dog, and a parakeet (4 is a part of 22 and 22 is a part

 of 67 and 520

* We will explain the Venn-diagram

- A rectangle represent the total of the families

- Three intersected circles:

 C represented the cat

 D represented the dog

 P represented the parakeet

- The common part of the three circle had 4 families

- The common part between the circle of the cat and the circle of the

 dog only had 22 - 4 = 18 families

- The common part between the circle of the dog and the circle of the

 parakeet only had a families

- The common part between the circle of the cat and the circle of the

 parakeet only had b families

- The non-intersected part of the circle of the dog had 67 - 22 - a =

  45 - a families

  had dogs only

- The non-intersected part of the circle of the cat had 52 - 22 - b =  

  30 - b families

  had cats only

- The non-intersected part of the circle of the parakeet had c families

  had parakeets only

- The part out side the circles and inside the triangle has 70 families

- Look to the attached graph for more under stand

∵ The total of the families is 180

∴ The sum of all steps above is 180

∴ 45 - a + 18 + 4 + 30 - b + b + c + a + 70 = 180 ⇒ simplify

- (-a) will cancel (a) and (-b) will cancel (b)

∴ (45 + 18 + 4 + 30 + 70) + (-a + a) + (-b + b) + c = 180

∴ 167 + c = 180 ⇒ subtract 167 from both sides

∴ c = 180 - 167 = 13 families

* There are 13 families had a parakeet only

5 0
3 years ago
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