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uranmaximum [27]
1 year ago
9

Which equations are true equations? Select all correct answers. Responses 15052=30−42−12 150 over 5 squared equals 30 minus 4 sq

uared minus 12 48 ÷ 8 + 2³ = 5 + 3² 48 ÷ 8 + 2³ = 5 + 3² 92−72=20÷(7−2) 9 squared minus 7 squared equals 20 divided by open parenthesis 7 minus 2 close parenthesis 8⋅72−12=22−2⋅3
Mathematics
1 answer:
Helen [10]1 year ago
8 0

All the correct answers of the equations using order of operations are;

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

C. 48 ÷ 8 + 2³ = 5 + 3²

<h3>How to use order of operations?</h3>

The rule used for order of operations is PEMDAS and it states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.

Using the PEMDAS rule, the solutions would be as follows:

A. 9² − 7² = 20 ÷ (7 − 2)

81 - 49 = 20 ÷ 5

32 = 4

Thus, this is not true.

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

56 ÷ 2 − 12 = 22 - 6

28 - 12 = 16

16 = 16

Thus, this is true.

C. 48 ÷ 8 + 2³ = 5 + 3²

6 + 2³ = 5 + 9

6 + 8 = 14

14 = 14

Thus, this is true.

D. 150 ÷ 5² = 30 − 4² − 12

150 ÷ 25 = 30 − 16 − 12

6 = 30 - 28

6 = 2

Thus, this is not true.

Read more about Order of operations at; brainly.com/question/550188

#SPJ1

Complete question is;

Which equations are true equations? Select all correct answers.

A. 9² − 7² = 20 ÷ (7 − 2)

B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3

C. 48 ÷ 8 + 2³ = 5 + 3²

D. 150 ÷ 5² = 30 − 4² − 12

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6 0
3 years ago
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 60 p
boyakko [2]

Answer:

  • large: 40 lbs
  • small: 20 lbs

Step-by-step explanation:

A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.

Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...

  L + S = 60 . . . . . . combined weight is 60 lbs

  70L +60S = 4000 . . . . weight of boxes in the truck

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We can solve this by substituting for s in the second equation.

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A large box weighs 40 pounds; a small box weighs 20 pounds.

7 0
3 years ago
Find the number of different couches that you can make using 16 different fabrics and 8 patterens
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WITCHER [35]

Answer:

a) Mean = 0.75

b) Standard error = 0.051

c) Yes                              

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Sample proportion , p = 0.15

a) Mean

\mu = np = 50(0.15) = 7.5

b) Standard error

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c) Application of central limit theorem

Since the sample size is larger than 30, we cam apply central limit theorem for normal approximation.

6 0
4 years ago
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