Sing scientific notation, what is the solution to (2.82 * 104) * (3.1 * 103)?

Apply the distributive property to factor out the greatest common factor.<br> 56<br> +<br> 32<br> =

valentina_108 [34]

Answer:

8 * (7 + 4)

See process below

Step-by-step explanation:

We start by writing each number in PRIME factor form:

56 = 2 * 2 * 2 * 7

32 = 2 * 2 * 2 * 2 * 2

Notice that the factors that are common to BOTH numbers are 2 * 2 * 2 (the product of three factors of 2).Therefore we see that the greatest common factor for the given numbers is : 2 * 2 * 2 = 8

Using this, we can write the two numbers as the product of this common factor (8) times the factors that are left on each:

56 = 8 * 7

32 = 8 * 2 * 2 = 8 * 4

We can then use distributive property to "extract" that common factor (8) from the given addition as shown below:

56 + 32

8 * 7 + 8 * 4

8 * (7 + 4)

8 * (11)

88

4 0

3 years ago

10(8+3h) need help asap

LuckyWell [14K]

Answer:

80 + 30h

Step-by-step explanation:

10(8+3h)

Distribute

10*8 + 10*3h

80 + 30h

3 0

4 years ago

Read 2 more answers

Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coor

Alex787 [66]

The correct answer is:

C. They are similar because the corresponding sides of kites KELY and BRAD all have the relationship 2:1.

Using the distance formula,

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

the lengths of the sides of BRAD are:

$\text{BR}=\sqrt{(7-6)^2+(3-4)^2}=\sqrt{1^2+(-1)^2}=\sqrt{1+1}=\sqrt{2}\\\\\text{RA}=\sqrt{(6-3)^2+(4-3)^2}=\sqrt{3^2+1^2}=\sqrt{9+1}=\sqrt{10}\\\\\text{AD}=\sqrt{(3-6)^2+(3-2)^2}=\sqrt{(-3)^2+1^2}=\sqrt{9+1}=\sqrt{10}\\\\\text{DB}=\sqrt{(6-7)^2+(2-3)^2}=\sqrt{(-1)^2+(-1)^2}=\sqrt{1+1}=\sqrt{2}$

The lengths of the sides of KELY are:

$\text{KE}=\sqrt{(2-0)^2+(11-9)^2}=\sqrt{2^2+2^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\\\\\text{EL}=\sqrt{(0-2)^2+(9-3)^2}=\sqrt{(-2)^2+6^2}=\sqrt{40}=2\sqrt{10}\\\\\text{LY}=\sqrt{(2-4)^2+(3-9)^2}=\sqrt{(-2)^2+(-6)^2}=\sqrt{40}=2\sqrt{10}\\\\\text{YK}=\sqrt{(4-2)^2+(9-11)^2}=\sqrt{2^2+(-2)^2}=\sqrt{8}=2\sqrt{2}$

Each side of KELY is twice the length of the corresponding side on BRAD. This makes the ratio of the sides 2:1 and the figures are similar.

8 0

3 years ago

Read 2 more answers

What are the zeros of the graphed function y = (x + 3)(x + 5)? –5 and –3 5 and 3 –8 and 5 0 and 5

Sati [7]

Answer:

Answers are: (x+3)(x+5) = 0

So first zero: x+3 = 0 so x = -3

Second zero: x+5 = 0 so x = -5

so zeros are: x = -5 and -3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Suppose the population of a certain city is 5769 . It is expected to decrease to 4963 in 50 years. Find the percent decrease.

creativ13 [48]

Answer:

≈ 13.98%

Step-by-step explanation:

As the total population is 5769 in the initial period, you must find the percentage that repesents 4963 that is the expected population.

4963/5769=0.8602

Then you multiply it by 100 to transform it into percentage

0.8602*100=86.02%

Then it's just necesary to subtract that from 100% and that numbers is the percentage of decrease

100% - 86.02% = 13.98%

Also you can say that is approximately 14%

4 0

3 years ago