MATHEMATICS MIDDLE SCHOOL

What is the greatest common factor of 42, 126, and 210 ?F. 2
G. 6
H. 14
J. 21
K. 42

Answers

Answer 1
Answer: prime factors of 42:    2x7x3
prime factors of 126:  2x3x3x7
prime factors of 210:  7x3x5x2
now we multiply all the factors that they all have in common: 2x3x7 which is 42. So the highest common factor is 42

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What's.725put into a fraction

Answers

it would be 725/1000 because u are 3 spaces after the decimal

How does finding the percent as a rate per 100 help you find the number of responses out of 200

Answers

because all I have to do is multiply by 2

There were four apples. Three apples fell from the tree. How many apples are on the tree now?

Answers

there were 4 apples, but where they on the tree to begin with? if so, then 4-3=1. if not, then we need another variable.

Cheers!
A
There are 4-3 = 1 apples on the tree now.

A student is attempting to solve a multi-step equation. Sample mathematical work is shown below. Which statement best applies to the sample mathematical work? Given the equation 35x – 10 = 5, I must solve for x. I first divide both sides by 35, which results in the equation x-10=1/7 I then add 10 to both sides, which gives me my final answer of x=71/70 A. The student incorrectly divided both sides by 35. B. The student incorrectly added 10 to both sides. C. The final answer is not reduced or simplified. D. The mathematical work shown is correct.

Answers

Answer:

A

Step-by-step explanation:

A:  The student incorrectly divided both sides by 35.  The student should first add 10 to both sides, obtaining 35x = 15, and then divide 15 by 35, obtaining the final answer 3/7.

a store had a sale on art supplies. the price p of each item was marked down 60%. which expression represents the new price

Answers

if the price of the item drops by 60% then that means the new price is 40% of the original

new price = p*0.4

ex: 
new price = $100*0.4= $40
new price= $75*0.4 = $30

What is the solution of the equation 3^x=12? Round your answer to the nearest ten-thousandth.A) 0.4421

B) 0.4771

C) 0.5149

D) 2.2619

Answers

Hey!


Okay, so if  f(x)  equals  g(x),  then In(f(x))  equals  In(g(x)).  So, we'll plug in the numbers into this 'equation' we have now.

In(3^(x) ) = In(12 )

And now we'll apply this log rule →  log_(a) (x^(b) ) = b * log_(a) (x)

In(3^(x) )=xIn(3) \n xIn(3)=In(12)

Now we have to solve In(3^(x) )=xIn(3) \n xIn(3)=In(12). To do that, we'll divide both sides of the equation by  In(3).

(xIn(3))/(In3) = (In(12))/(In(3))

Now we simplify

x = (In(12))/(In(3))

So, this means the equation  3^(x) =12  solved is  x = (In(12))/(In(3))  or  2.2619.

Hope this helps!


- Lindsey Frazier ♥

The answer is D.) 2.2619.
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