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AveGali [126]
3 years ago
14

Choose the number sentence that shows the distributive property of multiplication over addition.

Mathematics
1 answer:
Anarel [89]3 years ago
4 0

we know that

distributive property of multiplication over addition:

a \times (b+c)=a \times b + a \times c

now, we will verify each options

option-A:

3 × (4 + 5) = (3 × 4) + (3 × 5)

We can see that both sides match with property

so, this is TRUE

option-B:

3 × (4 + 5) = (3 + 4) × (3 + 5)

We can see that right side does not match with property

so, this is FALSE

option-C:

3 × (4 + 5) = (3 × 4) + 5

We can see that right side does not match with property

so, this is FALSE


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Marco is making mosaic garden stones using red, yellow,and blue tiles he has 45 red tiles 90 blue tiles and 75 yellow tiles. Eac
LiRa [457]

I believe it is 135 stones

45 is lowest multiplied by 3 is 135 providing equal number

8 0
3 years ago
Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking.
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

1) A = x

Flower garden is in rectangular shape. In rectangle, opposite sides are equal.

2)  The entire garden is in rectangular shape. In rectangle, opposite sides are equal.

B + x+ 4 = 10x + 6

Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change

B = 10x + 6 - x  - 4

B = 10x - x + 6 - 4   {Combine like terms}

B = 9x + 2

3)  C + x -2 = 5x -3

   C = 5x - 3 - x  +2

C = 5x -x - 3 + 2

C = 4x - 1

4) Area of Vegetable garden = length * width

                                                = (5x - 3) * (9x + 2)

Use FOIL method

                                               = 5x *9x  + 5x*2  + (-3)*9x + (-3)*2

                                                = 45x²  + 10x - 27x - 6  

                                                = 45x² - 17x - 6

5 0
3 years ago
Jim drank 2/3 of his water bottle and John drank 3/10 of his water bottle how much water did both the boys drink ?
Likurg_2 [28]

Answer:

29/30

Step-by-step explanation:

first, we must make sure they have the same denominator!

2/3 x 10/10 = 20/30

3/10 x 3/3  = 9/30

20/30 + 9/30 = 29/30

4 0
3 years ago
Mark is taking pledges for bike-a-thon fundraiser. John pledged $2.00, plus $1.75 for each mile Mark bikes. Kiara pledged $5.25,
Shkiper50 [21]

Answer:

The equation for the amount of dollars pledged in total is f(M) = 2.00M + 7.25, and the amount for just Kiara is f(M) = 0.25M + 5.25

Step-by-step explanation:

The amount they pledge up front is a constant and therefore need to be added to the end of the equation. The amount per mile should be a variable amount. This gets multiplied by the M variable. So we start with the Kiara amount.

0.25 per mile = 0.25M

5.25 pledged = 5.25

Now put them together to get f(M) = 0.25M + 5.25

Do the same with Mark.

1.75 per mile = 1.75M

2.00 pledged = 2.00

Now put them together to get f(M) = 1.75M + 2.00

To get the final total, we add both equations together.

f(M) =  0.25M + 5.25 + 1.75M + 2.00

f(M) = 2.00M + 7.25

4 0
3 years ago
2/x multiplied by what equals 1
Varvara68 [4.7K]

Answer:

Multiplied by2x

2/x ×2x =1

5 0
3 years ago
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