Is 1/3 equivalent to 1/3x explain your reasoning

Answers

Answer 1
Answer: So the question is does 1/3 = 1/3x

To solve this, basically we just have to solve for x to see if it gives us a true statement.  Since x is a variable, it could represent any number... so we have to determine whether the statement could be true with any other numbers as well...

1/3 = 1/3x    divide each side by 1/3 (multiply by the reciprocal)
1/3 x 3/1 = x
1 = x

So when x = 1 then the statement 1/3 = 1/3x is true.  If we put any other number as x the statement would be false... for example if you let x = 2, then 1/3 x 2/1 = 2/3... that does not equal 1/3 so it is a false statement and they are not equivalent when x = 2.

Your answer is, YES 1/3 is equivalent to 1/3x but ONLY when x = 1

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4(3x+5)+5(3x+3)+3=27x+39

Answers

Answer:

0 (not equal sign)2

NO SOLUTION!

Just distribute and then combine like terms.

Please help i will give brainlest!!!!!!!

Answers

5+z=5z
Hopes this helps!
the product of 5 and z =5*z=5z
so the expression is 5z

Calculate the average speed of a car stuck in traffic that drives 12 kilometers in 2 hours

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Average speed = (total distance) / (time for the distance)

Average speed= (12 km) / (2 hours) = 6 km per hour
v_M=(d)/(t)\n \n v_M=(12 \ km)/(2 \ h)=6 \ km/h

A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch? Please show me how you got your answer.

Answers

Hi!

So basically, you can set this up in a proportion. 
For every gallon of punch, 2 cups of cranberry juice is needed. What you need to find is the amount of cranberry juice is needed for one gallon. So then you would have to set up your proportion like this:

(2)/(3) = (x)/(1)

then you would have to cross multiply, and you should have something like this:

3x = 2

then using division you should have this:

x = (2)/(3)

so you would need 2/3 cups of cranberry juice for one gallon of punch. :)

hopefully this makes sense, lol.

Answer:

2/3 cups, or 0.66 cups.

Step-by-step explanation:

Hope this helps! <3

tia is buying paper cups and plates. cups come in package of 12 ,and plates come in package of 10.she wants to buy the same number of cups and plates but plans to buy the least number of package possible. how much should Tia expect to pay if $3 and each package of plates is $ 5 . explain

Answers


What I did to start with was to find the lowest number that both 12 and 10 could divide into, that number is 60.

I know 60 divided by 12 is 5 and I know that 60 divided by 10 is six.

Then I took 5 and multiplied it by 3 and got 15. I did this step because you need 5 packages of cups and each package cost 3 dollars.

Next I took 6 and multiplied it by 5 and got 30. I did this step because you need 6 packages of plates and each package cost 5 dollars.

You would then take 30 dollars and 15 dollars and add them together to get your total.

The answer is 42 dollars. 

What is a correct first step for solving this equation x+7=2x+5-4x

Answers

Answer:

2x+4x=6x

Step-by-step explanation:

Answer:

Combing like terms.

Step-by-step explanation:

If there are like terms with a variable, you should combine them to make the problem more easier.

2x-4x = -2x

x + 7=-2x+5