MATHEMATICS MIDDLE SCHOOL

Is the GCF (Greatest Common Factor) of a pair of numbers ever greater than both numbers? Explain with an example.

Answers

Answer 1
Answer:
The GCF can be the smaller one of the two numbers,
or else it can be a number smaller than either of them.
It can never be more than the smaller of the two numbers.

-- The GCF of  10  and  100  is  10 .

-- The GCF of  9  and  102  is  3 .

-- The GCF of  10  and any number more than 10
an never be bigger than  10 .
Answer 2
Answer: Basically, what I would say is that the Greatest Common Factor is no larger than smallest. Keep in mind that Greatest means biggest, but don't let it trick you.

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Is the additive inverse of a number always negative ?explain 12points

Answers

The additive inverse of a number is not always negative.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

The additive inverse of an number is a number by which addition the resultant becomes zero.

For example, the additive inverse of 3 is -3

Now,

The additive inverse of -4 will be 4 which is positive, not negative.

The additive inverse of 0 is 0 which is not negative.

Hence "The additive inverse of a number is not always negative".

For more about the number system,

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No it isn’t

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. ... For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive. Zero is the additive inverse of itself.

Mr. Anderson drove 168 miles in 3 1/2 hours. He then drove the next 2 1/4 hours at a rate of 5 miles per hour faster than the first rate. How many miles did Mr. Anderson drive during the 5 3/4 hour road trip? Answer in improper fraction.

Answers

First we need to know how many miles per hour they drove the first time. This would be found by division. 168/3.5=48
Then we need to add 5 miles per hour for the average.48+5= 53
Next we need to multiply 2 1/4 by the new miles per hour 53*2.25=119.25
After that we need to know how many miles they drove 119.25+168=287.25 miles.
Finally to get an improper fraction we need to change 287.25 miles to it.
We already have 1/4 for .25 so we multiply 287 by 4 and add it to the 1/4 we already have and it makes it out to be 1149/4

Hope this helps!

Estimate the unit rate $74.75 of gloss white paint that is 5 gal.

Answers

$15 for every 1 galloon of paint. estimated.

What is 6/10 +19/100,also written into decimals

Answers

6/10 = 0.6 in decimal form
19/100 = 0.19 in decimal form
0.6+0.19=0.79
6/10 + 19/100 = 79/100
decimal: .6 + .19 = 0.79

Marissa rode her bike to the park and back home. She lives 2 3/10 miles from the park. How many miles did Marissa ride her bike in all?

Answers


If she rides twice the amount of 2 3/10 miles, then she rides 2.3 miles × 2, so that is 4.6 miles, which is 4 6/10 miles, which becomes 4 3/5 miles once simplified. The ending answer is that Marissa rode her bike 4 3/5 miles in all.

A square painting has a diagonal of 44 in. Lorraine wants to frame the picture. How many inches of frame will she need? Round to the nearest inch.

Answers

The square has a diagonal of 44 inches.
In order to get the side, we need to use the pythagorean equation.

Diagonal (d) ^ 2 = side^2 + side ^ 2
Diagonal (d) ^ 2 = 2side (s)^2

d^2 = 2s^2
44^2 = 2s^2
1936 = 2s^2
2s^2 = 1936
s^2 = 968
s = 31.11 inches

The length of the side is approximately 31 inches.
Perimeter = 4*s
Perimeter = 4 * 31
Perimeter = 124 inches

So she need a total of 124 inches to frame the square.

I am sure the anwser is 124in

I hope this helps let me know! ;)
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