Explain how you know whether to add or subtract when he use the distributive property to multiply

Answers

Answer 1
Answer: if the letter is next to the number you multiply

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There are 6 times as many dogs as cats. If the total number of dogs and cats is 21. How many dogs are there? Show your work

Answers

 there are 3 cats and 18 dogs. :D
I say divide 21 with 6 and you get 3.5 so round it and you get 3.Then subtract 3 from 21, so the answer is 3 cats ad 18 dogs.

hope this helps :)

What is the solution to the system of equations? 5x+4y=8 x-2y=10

Answers

\left \{ {{5x+4y=8} \atop {x-2y=10\ |\cdot2}} \right. \n\n \left \{ {{5x+4y=8} \atop {2x-4y=20}} \right. \n+-----\n\n7x=28\ \ \ \ |:7\nx=4\n\n4-2y=10\n-2y=10-4\n-2y=6\ \ \ \ \ |:-2\ny=-3\n\n \left \{ {{y=3} \atop {x=4}} \right.

a painter painted about half a room in half a day. Coley estimated the painter would paint 7 rooms 7 days. Is Coley's estimate reasonable? Explain.

Answers

YES, because If the painter painted half room in half day then he probably could finish 1 room in 1 day, so & rooms in 7 days is a reasonable estimate.

Hope I helped:P 
no because it does not explain the size of each room

If your pencil is 20 cm long how many millimeters is it

Answers

For this, you have to know the unit conversions. For metric, this is somewhat easier to remember. cm = centimeters. centi means 100th. One way to remember this one is that a cent is 1/100th of a dollar. So also is a centimeter 1/100th of a meter. A millimeter is 1/1000th of a meter. so a centimeter is 10 millimeters. 
(20)/(1) (cm)/(1) * (10)/(1)(millimeters)/(cm) = 200 millimeters

Therefore the solution is 200 millimeters.

So I know that |-5| =5 but what does this -|-5| equal? and explain why

Answers

absolute value
means whatever is inside is positive, once we resolve the inside, work out

|-5|=5

now -5=?=-5

answer is -5 since - of + is negaitve
if you don't get it still think like this

|-5|=5
mulitp;ly by -1 everybody
-|-5|=-5

A machinist can produce 114 parts in 6 minutes.At this rate, how many parts can the machinist produce in 15 minutes?

Answers

114 parts / 6 min = X parts / 15 min 

114/6 = x/15 
cross multiply 

114 * 15 = 6 * x 

1710 = 6x 
divide both sides by 6 

1710/6 = 6x/6 

285 = x

Hope this helps! (:

-TotoandFidoLOVE