Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–1 + i) + (21 + 5i)?

Answers

Answer 1

Answer:

Answer:

The given expression is (–1 + i) + (21 + 5i) : It demonstrates the use of the commutative property of addition in the first step of simplifying the expression. The property of commutativity is that the bracket can change its position i.e. (i + 21 )+ (5i-1)

Step-by-step explanation:

Answer 2

Answer: The given expression is (–1 + i) + (21 + 5i) : It demonstrates the use of the commutative property of addition in the first step of simplifying the expression. The property of commutativity is that the bracket can change its position i.e. (i + 21 )+ (5i-1)

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How many times does 5 go into 100

Answers

I believe in this item, we are asked to determine how many 5's should be added together in order to form 100. This is calculated by dividing 100 by 5. The answer by completing the operation would be equal to 20. Hence, the answer is 20.

What percentage of 1457 is 898?

Answers

$(898)/(1457)\cdot100\%=(89800)/(1457)\%=61(923)/(1457)\%\approx61.63\%$

Marjorie consumed 1.5 gallons of water in one day. How many milliliters are equal to 1.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters

Answers

Answer:

Step-by-step explanation: 1.5 gallons X 3.785 liters = 5.6775 liters X 1,000 = 5,677.5 milliliters is the answer.

5 Select the correct answer. Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael's account balance following these withdrawals? A $519.25 B. $369 O c. $369 OD. $519.25 Reset Next

Answers

Answer:

C.369

Step-by-step explanation:

one year is 12 months and he took out 30.75 every month so

30.75 multiplied by 12 is 369

its C

The rectangular vegetable garden in 6 feet longer than 2 times its width. If the perimeter is 48 feet, what is the garden's width? Remember, the perimeter of a rectangle is the sum of all its sides.

Answers

Since there are 4 sides in a rectangle, we'll divide 48 by 4

$(48)/(4)$ = 12

We know that the length is 6 feet longer than 2 times it width.

12 + 6 = 18

The length of one side of a rectangle is 18.

The total length of both sides is 36 because 18 + 18 = 36

48 - 36 = 12

The width of both sides of a rectangles is 12. Now if we divide 12 by 2 we'll get the width of one side of a rectangle..

$(12)/(2)$ = 6

The width of one side of the rectangle is 6.
The length of one side of the rectangle is 18.

Let's check and see if our answer is correct. We need to get a 48 as an answer since that's the perimeter of the rectangle.

2 × ( length + width )
2 × ( 18 + 6 ) = 48

Yay! We got it right!! Hope you understood this :)

Final answer:

The width of the garden is 6 feet. We found this by expressing the length in terms of width, substituting into the perimeter equation, simplifying to find the value of width.

Explanation:

In solving this problem, we will follow a few simple steps. First, we know that the perimeter of a rectangle is given by the formula: Perimeter = 2*length + 2*width. We know from the problem that the perimeter is 48 feet and the length of the garden is 6 feet longer than 2 times its width.

Let's denote the width as 'w'. Then, the length would be 2w + 6. Substituting these into the perimeter equation, we have: 48 = 2*(2w+6) + 2*w. Simplifying this equation gives 48 = 4w + 12 + 2w, which further simplifies to 48 = 6w + 12. If we now deduct 12 from both sides, we have: 36 = 6w. Finally, dividing by 6 gives us the width: w = 6 feet.

Learn more about Perimeter here:

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Use the distributive property to multiply

-7 (2x - 4)

I think it's -14x + 28

Answers

-14x+28 is correct. Good job!

It is-14x + 28 way to go!

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