What is the greatest common factor of 48 and 84?

Answers

Answer 1

Answer: 48 --> 48 ÷ 12 = 4

84 ---> 84 ÷ 12 = 7

48 factors ⇒ 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
84 factors ⇒ 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

GCF ⇒ 12

Answer 2

Answer: The greatest common factor (GCF) of 48 and 84 is 2 x 2 x 3 = 12

The factors of 48 are : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 84 are : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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What is 6.9 as a fraction and a mixed number, unsimplified?

Answers

The value of fraction form of 6.9 is,

⇒ 69 / 10

And, Mixed fraction form of 6.9 is,

⇒ 6 9/10

We have to given that;

Convert 6.9 as a fraction and a mixed number, unsimplified.

Now, We have to given that;

A number is,

⇒ 6.9

Hence, We can change into fraction as,

⇒ 6.9 x 10 / 10

⇒ 69 / 10

And, Change it into mixed form as;

⇒ 6 9/10

Thus, The value of fraction form of 6.9 is,

⇒ 69 / 10

And, Mixed fraction form of 6.9 is,

⇒ 6 9/10

Learn more about the fraction visit:

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6.9 will convert to the mixed number of $6 (9)/(10)$ without simplification but it can't. And as a improper fraction it is $(69)/(10)$ .

0.04 is 1/10 of what number

Answers

If you would like to calculate 1/10 of what number is 0.04, you can do this using the following steps:

1/10 of what number is 0.04
1/10 * x = 0.04 /*10
x = 0.04 * 10
x = 0.4

Result: 1/10 of 0.4 is 0.04.

Answer:

0.004

Step-by-step explanation:

Explain hard to tell whether (2,-1) is a solution of the equation Y= 3X -2 without using the graph

Answers

Answer:

Considering the equation given:

$y= 3x -2$

As a function:

$f(x)= 3x -2$

$(2, -1)$ states for $(x, y)$ , which means, $x=2$ and $y=-1$

$f(2)= 3(2) -2\nf(2)= 6-2\nf(2)= 4$

$4\neq -1$

Therefore, $(2, -1)$ is not a solution for the equation given and for the function.

An average person's heart beats about 103,680 times a day. Write and solve an equation to find about how many times the average person's heart beats in one minute.

Answers

It should be noted that in each day there are 24 hours which in turn is comprised of 60 minutes each. The way to answer this item to properly do the conversion and the dimensional analysis.
1. The equation that would be used in order to find out how many beats in one minute does an average human's heart do is,
x = (103,680 times/day)(1 day/24 hours)(1 hour/60 minutes)Simplifying,
x = 72 times / minute

A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it is 180 miles from Denver. Which function describes the car's distance from Denver?

Answers

Answer: $y=-40x+300$

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call $x$ the time in hours and $y$ the traveled distance in miles:

Point 1: $(x_(1),y_(1))=(0,300)$

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: $(x_(2),y_(2))=(3,180)$

Since we are told the car's final position is 180 miles after 3h

Let's find the Slope $m$ :

$m=(y_(2)-y_(1))/(x_(2)-x_(1))$

$m=-40$ This is the slope of the line

Now, the equation of the line is:

$y=mx+b$

We already know the slope, now we have to find the intersection point with the y-axis ( $b$ ) with any of the given points. Let's choose Point 1: $(x_(1),y_(1))=(0,300)$