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Anuta_ua [19.1K]
4 years ago
14

4. Which operation should be completed first in the expression below? Use PEMDAS to evaluate. 24 ÷ (12 – 8) x 6 + 3 a. Add b. Su

btract c. Multiply d. Divide
Mathematics
1 answer:
irinina [24]4 years ago
5 0

Answer:

Option b - Subtract

Step-by-step explanation:

Given : Expression 24\div(12-8)\times 6+3

To find : Which operation should be completed first in the expression below?

Solution :

P - Parentheses

E - Exponent

D - Divide

M - Multiplication

A - Addition

S - Subtraction

In the first step we solve the bracket in the expression  24\div(12-8)\times 6+3

So, we do subtraction i.e. 12-8=4

Therefore, option b is correct.

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Determine whether the series is convergent or divergent. if it is convergent, find its sum. (if the quantity diverges, enter div
Lemur [1.5K]

The geometric series is convergent and the value is 16.

<h3>How to illustrate the information?</h3>

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4)

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Learn more about geometric series on:

brainly.com/question/24643676

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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum

4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

7 0
1 year ago
Identify the independent and dependent variables. Then use the information to determine how many gallons of gas are left after t
lesya692 [45]

Answer:

Independent: miles travelled

Dependent: gallons of gas

Gas remaining after 68 miles: 7.2 gallons

Step-by-step explanation:

Looking at the table, it appears that after every 17 miles of driving, 1 gallon of gas is used.

  • 68 miles would be the next 17 miles after driving 51 miles
  • this means another gallon of gas would be used, so 8.2 - 1 = 7.2 gallons left

The <u>dependent variable</u> is the variable that depends on that of another

  • In this case, the dependent variable is the gallons of gas, because in order for the car to drive, it needs gas

The <u>independent variable</u> is the variable that does not depend on that of another

  • In this case, the independent variable is the miles travelled
3 0
3 years ago
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