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4 years ago

Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.

1 answer:

4 0

<span>Use the distributive property to rewrite each algebraic expression: Do not solve, just rewrite.

1) 8(x + 7) = 8x + 56

2) 5(x - 10) = 5x - 50

3) 6(11 + x) = 66 + 6x

</span><span>Factor each expression. (Pull a common factor from each number)

COMPLETED EXAMPLE: 27 + 12 = 3(9 + 4) → (3 is the shared factor for 27 and 12)

4) 12 + 36 = 12 (1 + 3)

5) 16 + 20 = 4 (4 + 5)

Solve each expression using the distributive property.

6) 4 x 82 = 4 (80 + 2) = 320 + 8 = 328

7) 12 x 44 = 12 (40 + 4) = 480 + 48 = 528

</span><span>8) Mrs. S bought 9 folders and 9 notebooks. The cost of each folder was $2.50. Each notebook cost $4. First, write an expression for the problem then find the total cost.

Expression = 9f + 9n = 9($2.50) + 9($4)

Total cost =</span>9($2.50) + 9($4) = $22.5 + $36 = $58.5

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What is the answer to this question??

MAXImum [283]

Answer:

28.246

Step-by-step explanation:

hihi. So you can use the Pythagorean theorem to find any missing sides to a triangle. The equation goes like this: a^2 + b^2 = c^2, where a a and b are the lengths of the 2 bases of the triangle and c is the length of the hypothenuse/longest side to the triangle. Since you know the length of the hypothenuse and of one of the bases you can solve for the last base using the equation which gets you ~8.246. Now, adding that to the other side lengths gets you 28.246 as an approximate perimeter to 3 sig figs

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3 years ago

Let A = {June, Janet, Jill, Justin, Jeffrey, Jelly}, B = {Janet, Jelly, Justin}, and C = {Irina, Irena, Arena, Arina, Jelly}. Fi

Hoochie [10]

Answer:

{June, Janet, Jill, Justin, Jeffrey, Jelly,Irina, Irena, Arena, Arina, }

Step-by-step explanation:

A ∪ C

This means union so we join the sets together

A = {June, Janet, Jill, Justin, Jeffrey, Jelly} + C = {Irina, Irena, Arena, Arina, Jelly}

A U C = {June, Janet, Jill, Justin, Jeffrey, Jelly,Irina, Irena, Arena, Arina, Jelly}

We get rid of repeats

A U C = {June, Janet, Jill, Justin, Jeffrey, Jelly,Irina, Irena, Arena, Arina, }

5 0

4 years ago

Suppose that daycare costs are normally distributed with a mean equal to $10,000 a year and a standard deviation equal to $2,000

notka56 [123]

Answer:

50%, 68.26%, 95.54%

Step-by-step explanation:

Let X be the day care costs

X is N(10000, 2000)

Since normal distribution is symmetrical about the mean we get

above 10000, exactly 50% of day care cost would be .

Between 8000 and 12000,

= $P(8000$

Between 6000 and 14000

$P(6000$ %

6 0

3 years ago

Batteries come in packs of 4. Last month, Joe used 58 batteries in his remote control drone. How many packs of batteries did he

vovangra [49]

It is given that batteries come in a packs of 4. It means in each pack there are 4 batteries.

Joe used 58 batteries . So to find the total number of packets of batteries joe has to open is

Number of batteries used / Total number of batteries in each packet

= 58 / 4

= 14.5

The number of battery can not be in decimal. So we will round the answer to integer. If we round it to 14 it means 14 packets. But in 14 packets there are 14*4 = 56 batteries .

But we know that Joe used 58 batteries. So we will round the final answer to 15.

It means Joe has to open 15 packets of batteries.

8 0

3 years ago

the sum of three number number in an artithmetic product is 21. if second number isreduced by 1 and third term is increased by 1

grin007 [14]

The three numbers will be 12, 7, 2 and 3, 7, 11.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

Let the three consecutive numbers be a, a + d, and a + 2d

The sum of three numbers which are consecutive terms of an A.P. is 21.

a + a + d + a + 2d = 21

3(a + d) = 21

a = 7 - d

If the second number is reduced by 1 and the third term is increased by 1 we obtain the geometric product.

Then the number will be a, a + d − 1, a + 2d + 1. Then we have

$\rm \dfrac{a + d - 1}{a} = \dfrac{a + 2d + 1}{a + d - 1}$

On simplifying, we have

36 = a (8 + d)

a² - 15a + 36 = 0

On factorizing, the value of a will be

a² - 15a + 36 = 0

a² - 12a - 3a + 36 = 0

(a - 12)(a - 3) = 0

a = 3, 12

If a = 12, then the value of d will be

d = 7 - 12

d = -5

If a = 3, then the value of d will be

d = 7 - 3

d = 4

Then the three numbers will be 12, 7, 2 and 3, 7, 11.

More about the sequence link is given below.

brainly.com/question/21961097

#SPJ1

7 0

2 years ago