Using the distributive property,what if the result? 17(11+21)=

Mathematics

2 answers:

Kobotan [32]3 years ago

8 0

Answer:

17 * 11 + 17 * 21

Step-by-step explanation:

galina1969 [7]3 years ago

7 0

Answer:

The answer is 544. The distributive property is a property that basically says that any number outside the parenthesis can be multiplied and distributed between all other numbers in the parentheses.

Step-by-step explanation:

17(11+21) = [This is the given equation]

17*11 + 17*21 [I used the distributive property]

187+357 [I used a calculator for the sake of time, but I suggest when double digit multiplying, do it by paper.]

= 544 [The answer is 544.]

The distributive property is a property that basically says that any number outside the parenthesis can be multiplied and distributed between all other numbers in the parentheses. An example is w(x+y+z). w(x+y+z) can also be simplified to (wx+wy+wz) because w is being distributed between all variables in the parenthesis. You can also get rid of parenthesis after simplifying.

The distributive property is also used when doing 'F.O.I.L'.

Hope I helped!

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In 2000, the circulation of a local newspaper was 3,250. In 2001, its circulation was 3,640. In 2002, the circulation was 4,100.

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Percent increase from 2000 to 2001 is 12% and from 2001 to 2002 is 12.6%. Thus period of 2001 to 2002 has higher increase percentage.

Solution:

Given that,

Total circulation of local newspaper in 2000 = 3250

Total circulation of local newspaper in 2001 = 3640

Total circulation of local newspaper in 2002 = 4100

Finding percent of increase in the newspaper’s circulation from 2000 to 2001:

$\text { Percent increase from } 2000 \text { to } 2001=\frac{\text { change in circulation from 2001 - 2000 }}{\text { circulation in } 2000} \times 100$

$\begin{array}{l}{=\frac{3640-3250}{3250} \times 100} \\\\ {=\frac{390}{3250} \times 100=12 \%}\end{array}$

Finding percent of increase in the newspaper’s circulation from 2001 to 2002:

$\begin{array}{l}{\text { Percent increase from } 2001 \text { to } 2002=\frac{\text { change in circulation }}{\text {circulation in } 2001} \times 100} \\\\ {=\frac{4100-3640}{3640} \times 100} \\\\ {=\frac{460}{3640} \times 100=12.6 \%}\end{array}$