Solve the equation by completing the square

216 divided by 31

Aleksandr-060686 [28]

Answer:

6 r 30

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 31 on the left side and the dividend 216 on the right side like this:

3 1 ⟌ 2 1 6

Step 2:

The divisor (31) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

0

3 1 ⟌ 2 1 6

Step 3:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer below the dividend.

0

3 1 ⟌ 2 1 6

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

0

3 1 ⟌ 2 1 6

- 0

2

Step 5:

Move down the 2nd digit of the dividend (1) like this:

0

3 1 ⟌ 2 1 6

- 0

2 1

Step 6:

The divisor (31) goes into the bottom number (21), 0 time(s). Therefore, put 0 on top:

0 0

3 1 ⟌ 2 1 6

- 0

2 1

Step 7:

Multiply the divisor by the result in the previous step (31 x 0 = 0) and write that answer at the bottom:

0 0

3 1 ⟌ 2 1 6

- 0

2 1

0

Step 8:

Subtract the result in the previous step from the number written above it. (21 - 0 = 21) and write the answer at the bottom.

0 0

3 1 ⟌ 2 1 6

- 0

2 1

- 0

2 1

Step 9:

Move down the last digit of the dividend (6) like this:

0 0

3 1 ⟌ 2 1 6

- 0

2 1

- 0

2 1 6

Step 10:

The divisor (31) goes into the bottom number (216), 6 time(s). Therefore put 6 on top:

0 0 6

3 1 ⟌ 2 1 6

- 0

2 1

- 0

2 1 6

Step 11:

Multiply the divisor by the result in the previous step (31 x 6 = 186) and write the answer at the bottom:

0 0 6

3 1 ⟌ 2 1 6

- 0

2 1

- 0

2 1 6

1 8 6

Step 12:

Subtract the result in the previous step from the number written above it. (216 - 186 = 30) and write the answer at the bottom.

0 0 6

3 1 ⟌ 2 1 6

- 0

2 1

- 0

2 1 6

- 1 8 6

3 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 216 divided by 31 calculated using Long Division is:

6

30 Remainder

8 0

3 years ago

It is given that ∠ABC and ∠CBD are Response area. So, m∠ABC+m∠CBD=90° using the Response area. It is also given that m∠ABC=35°

zhenek [66]

THE QUESTION CAN BE WRITTEN AS THIS;

It is given that ∠ABC and ∠CBD are a____________ So, m∠ABC+m∠CBD=90° using the b____________. It is also given that m∠ABC=35°. Using the substitution property of equality, you have c________+ m∠CBD=90°. Therefore, using the subtraction property of equality, m∠CBD=55°

Answer:

a)COMPLIMENTARY ANGLE

b)DEFINITION OF COMPLEMENTARY ANGLES

c)35°+ m<CBD = 90 degrees.

Step by step Explanation:

a)It's given that <ABC and <CBD are (COMPLIMENTARY ANGLE)

We know that the Sum of Complementary angles equal to 90 degrees.Those angles don't have to be next to each other, just so long as the total is 90 degrees. That's why the Sum of m<ABC and m<CBD equals 90 degrees that is m<ABC + m<CBD = 90 degrees

b)using the (DEFINITION OF COMPLEMENTARY ANGLES) It is also given that m<ABC = 35 degrees.

c)Using substitution property of equality, you have (35°+ m<CBD = 90 degrees.)

If we subtract 35 from both sides, we get 35-35+ m<CBD = 90-35.

Therefore, m<CBD = 55 degrees.

PLEASE CHECK THE ATTACHED FIGURE TO SEE HOW THE QUESTION LOOKS LIKE

8 0

3 years ago

Find last year's salary if, after a 5 %5% pay raise, this year's salary is $ 33 comma 075$33,075.

Anvisha [2.4K]

$33,075 = 0.05S + S

$33,075 = 1.05S

$33,075/1.05 = 1.05S/1.05

S= $31,500

Check

$31,500 * 5% = $1575 + $31,500 =$33,075

8 0

3 years ago

Which expression is equivalent to 8/9 ÷3/4

nevsk [136]

The answer is B. 8/9 •4/3

3 0

3 years ago

Solve the system by substitution.<br> y=6x<br> y=3x+21<br> ( , )

Dimas [21]

Answer:

(7,42)

Step-by-step explanation:

Imput the 6x for the Y:

6x=3x+21

move the variable to the left

6x-3x=21

collect like terms:

3x=21

divide both sides by 3x and youll get this for X

x=7

Imput x=7 into the equation

Y=6x7

solve:

y=42

6 0

3 years ago