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Volgvan
3 years ago
9

Which of the expressions are equivalent to the one below? Check all that

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer:

  • A.  7·6 + 7·3
  • B.  7·3 + 7·6
  • C.  7·9

Step-by-step explanation:

The distributive property and the commutative property of addition both apply here.

  Distributive property: a(b+c) = ab +ac

For a=7, b=6, c=3, this becomes ...

  7(6+3) = 7·6 +7·3 . . . . . matches A

The commutative property of addition says ...

  a + b = b + a

For a=7·6 and b=7·3, this becomes ...

  7·6 + 7·3 = 7·3 + 7·6 . . . . . matches B

Of course, the expression can be partially evaluated:

  7(6 +3) = 7·9 . . . . . matches C

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The area of the room is 147.5 square feet so Michelle's reasoning was incorrect.

Step-by-step explanation:

Step 1:

To calculate the area of the given room, we divide the unknown shape into known shapes.

The room's shape is made of 2 rectangles.

The area of a rectangle is the product of its length and its width.

One rectangle has a length of 10 feet and a width of 12 1/2 feet.

The other rectangle has a length of 15 - 10 = 5 feet and a width of 4 1/2 feet.

Step 2:

The area of the first rectangle = (10)(12 1/2) = (10)(12.5) = 125 square feet.

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Answer:

. We assume, that the number 260 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 260 is 100%, so we can write it down as 260=100%.

4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.

5. Now we have two simple equations:

1) 260=100%

2) x=6.75%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

260/x=100%/6.75%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6.75% of 260

260/x=100/6.75

(260/x)*x=(100/6.75)*x       - we multiply both sides of the equation by x

260=14.814814814815*x       - we divide both sides of the equation by (14.814814814815) to get x

260/14.814814814815=x

17.55=x

x=17.55

now we have:

6.75% of 260=17.55

Step-by-step explanation:

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