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dybincka [34]
3 years ago
7

Show how you can use the distributive property to rewrite and find (32x6)+(32x4)

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0
32(6+4) =320 you need to find the common term and then place on ouside of the parentheses
viktelen [127]3 years ago
8 0

Step-by-step explanation:

The distributive property of multiplication is a very useful property that lets you simplify expressions in which you are multiplying a number by a sum or difference. The property states that the product of a sum or difference, such as 6(5 – 2), is equal to the sum or difference of the products – in this case, 6(5) – 6(2).

 

Remember that there are several ways to write multiplication. 3 x 6 = 3(6) = 3 • 6.

3 • (2 + 4) = 3 • 6 = 18.

 

Distributive Property of Multiplication over Addition

 

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2.

 

3(10 + 2) = ?

 

According to this property, you can add the numbers and then multiply by 3.

3(10 + 2) = 3(12) = 36. Or, you can first multiply each addend by the 3. (This is called distributing the 3.) Then, you can add the products.

 

The multiplication of 3(10) and 3(2) will each be done before you add.

3(10) + 3(2) = 30 + 6 = 36. Note that the answer is the same as before.

 

You probably use this property without knowing that you are using it. When a group (let’s say 5 of you) order food, and order the same thing (let’s say you each order a hamburger for $3 each and a coke for $1 each), you can compute the bill (without tax) in two ways. You can figure out how much each of you needs to pay and multiply the sum times the number of you. So, you each pay (3 + 1) and then multiply times 5. That’s 5(3 + 1) = 5(4) = 20. Or, you can figure out how much the 5 hamburgers will cost and the 5 cokes and then find the total. That’s 5(3) + 5(1) = 15 + 5 = 20. Either way, the answer is the same, $20.

 

The two methods are represented by the equations below. On the left side, we add 10 and 2, and then multiply by 3. The expression is rewritten using the distributive property on the right side, where we distribute the 3, then multiply each by 3 and add the results. Notice that the result is the same in each case.

 

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**PLEASE HELP**
Sav [38]
Your answer would be "D", because when finding the GCF of a term, you want to take the most out of it. Following the procedure of D, finding the greatest shared factor of 10 and 15 and the greatest shared power between exponent 2 and exponent 3, would allow you to find the GCF.
8 0
3 years ago
Does anyone know how to do this? And can you also help me with this problem, thank you :)
GenaCL600 [577]
<span>Multiply equation(2) with 4 so that coefficient of become same in both the equations(You can make coefficient of y same and can follow the following procedure.) 
</span><span>* Subtract (3) from (1) 
* </span>Divide both sides by -19
*Subtract 21 from both sides.
*Divide both sides by 4
so the solution is     x= 3 and  y= -7
Hope I helped you :)
6 0
3 years ago
Express the area of the entire rectangle.
Cloud [144]

Answer:

\huge\boxed{A=x^2+12x+35}

Step-by-step explanation:

The formula of an area of a rectangle:

A=lw

<em>l</em><em> - length</em>

<em>w</em><em> - width</em>

We have

l=x+7\\\\w=x+5

Substitute:

A=(x+7)(x+5)

Use FOIL <em>(a + b)(c + d) = ac + ad + bc + bd</em>

<em></em>A=(x)(x)+(x)(5)+(7)(x)+(7)(5)\\\\A=x^2+5x+7x+35<em></em>

combine like terms

A=x^2+(5x+7x)+35\\\\A=x^2+12x+35

7 0
3 years ago
The diagram represents an enlargement of a rectangle by a scale factor of 4.
Tpy6a [65]

Answer:

D. 16 inches by 8 inches

Step-by-step explanation:

We have been given an image of two rectangles and we are asked to find the dimensions of the enlarged rectangle.

Since we have been given that the original rectangle is enlarged b a scale factor of 4, so to find the dimensions of enlarged rectangle we will multiply the dimensions of original rectangle by 4.

\text{Length of enlarged rectangle}=4\times 4\text{ inch}

\text{Length of enlarged rectangle}=16\text{ inch}

\text{Width of enlarged rectangle}=4\times 2\text{ inch}

\text{Width of enlarged rectangle}=8\text{ inch}

Therefore, the dimensions of enlarged rectangle are 16 inches by 8 inches and option D is the correct choice.

6 0
3 years ago
Read 2 more answers
Need help..thanks......
Vinvika [58]

Answer: D) Flat area with a large number of plants

The roots of the plants hold in the soil, which prevents/reduces erosion.

The steeper slope means gravity pulls down the soil material faster, since there is less ground in the way to hold it up, so to speak. So flatter areas are less prone to erosion compared to steeper areas.

So that's why overall, flatter areas with lots of plants would have the least erosion.

7 0
3 years ago
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