(100 points) 4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?

a. What are they asking for?

b. identify all the necessary numbers.

c. write the equation or problem in numeric form.

d. solve the math.

e.write the answer.

5. If he difference is 589 and the subtrahend is 339,what is the minuend?

a. What are they asking for?

b. identify all the necessary numbers.

c. write the equation or problem in numeric form.

d. solve the math.

e.write the answer.

6. If the quotient is 17 and the dividend 765, what is the divisor?

a. What are they asking for?

b. identify all the necessary numbers.

c. write the equation or problem in numeric form.

d. solve the math.

e.write the answer.

They are asking How big is the group.

Step-by-step explanation:

4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?

a. What are they asking for?

how big was the original group?

b. identify all the necessary numbers.

28,5

c. write the equation or problem in numeric form.

x=28*5

d. solve the math.

x=140

e.write the answer

. the original group contains 140 people.

5. If he difference is 589 and the subtrahend is 339,what is the minuend?

a. What are they asking for?

what is the minuend?

b. identify all the necessary numbers.

589,339

c. write the equation or problem in numeric form.

x=589-339

d. solve the math.

x=250

e.write the answer.

minuend=250

6. If the quotient is 17 and the dividend 765, what is the divisor?

a. What are they asking for?

what is the divisor?

b. identify all the necessary numbers.

17,765

c. write the equation or problem in numeric form.

x=765/17

d. solve the math.

x=45

e.write the answer.

divisor is 45.

4. Solution

a. How big was the original group?

b. 28 and 5

c. x = 28×5

d. x = 140

e. There are 140 people in original group.

5. Solution

a. What is the minuend?

b. 589 and 339

c. x = 589-339

d. x = 250

e. The minuend is 250.

6. Solution

a. What is the divisor?

b. 17 and 765

c. x = 765/17

d. x = 45

e. Hence, 45 is the divisor.

a² + 4a + 4

Step-by-step explanation:

   (a + 2)(a + 2)

= a(a + 2) +2(a + 2)

= a² + 2a + 2a + 4

= a² + 4a + 4

b² + 14b + 49

Step-by-step explanation:

   (b + 7)(b + 7)

= b(b + 7) +7(b + 7)

= b² + 7b + 7b + 49

= b² + 14b + 49

c² - 6c + 9

Step-by-step explanation:

   (c - 3)(c - 3)

= c(c - 3) -3(c - 3)

= c² - 3c - 3c + 9

= c² - 6c + 9

SHORTCUT: These are perfect squares. There is a formula for multiplying perfect squares:  (a ± b)² = a² + 2ab + b²

(a + 2)² = a² + 2(a)(2) + (2)²

            = a² + 4a + 4

(b + 7)² = b² + 2(b)(7) + (7)²

           = b² + 14b + 49

(c - 3)² = c² + 2(c)(-3) + (-3)²

           = c² - 6c + 9