What is the fraction for 105/100

Answers

Answer 1

Answer: Its actually a mixed number that is 1 1/20 since you can reduce it from 1 5/100

Answer 2

Answer: $(105)/(100) = (105:5)/(100:5) = (21)/(20) \ or \ (105)/(100) = 1 (5)/(100)=1 (5:5)/(100:5) = 1 (1)/(20)$

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What Fraction Is Bigger 8/15 or 14/25?

Answers

The first thing to do is to make the denominators the same:
8/15 = 40/75
14/25 = 42/75

42/75 is bigger than 40/75. Therefore, 14/25 is bigger than 8/15.

In order to solve these problems, you would have to change the fractions so that they have equal denominators. In order to do so, you must find the LCM of the denominators, in this case 15 and 25.

The LCM is 75 for these two numbers. Now, you change the fractions based on their new denominators.

8/15 = 40/75
14/25 = 42/75

I got this by dividing 75 by the previous denominators and multiplying that result by the original numerators. (i.e. 75/25 = 3 * 14 = 42)

So, now that you've changed both fractions to have equal denominators, you can see, by the numerators, which of the two is bigger.

Your answer is 14/25.

Hope this is clear and helps you out for future problems :)

If a cone has a surface area of 822.78cm^2 and a diameter of 18cm, find the slant height of the cone

Answers

Answer:

$20.11\ cm$

Step-by-step explanation:

we know that

The surface area of the cone is equal to

$SA=\pi r^(2)+\pi rl$

where

r is the radius

l is the slant height

In this problem we have

$SA=822.78\ cm^(2)$

$r=18/2=9\ cm$ -----> the radius is half the diameter

substitute and solve for l

$822.78=\pi (9)^(2)+\pi (9)l$

$822.78=81\pi +9\pi l$

$l=(822.78-81\pi)/9\pi$

$l=(822.78-81(3.14))/9(3.14)=20.11\ cm$

How do you write 302 in expanded form

Answers

You write 302 in expanded form like this: 300+0+2 (you don't have to write +0).
"Three hundred two" is word form.

Which one is longer walking on the grass to school or walking on the side walk to school

Answers

Walking on the side walk would be longer

Answer:

Walking on the sidewalk would talk longer

Step-by-step explanation:

You would have to walk beside the sidewalk, causing you to talk less steps to get to school.

How sides does a hexagon have

Answers

A hexagon has 6 total sides.

A hexagon has 6 sides. You can remember this because the prefix "Hexa" means "6", such as in the word "Hexarchy"- an alliance between 6 individual civilizations, such as states or countries. : )

What is the slope of a line perpendicular to the following line?

$-7y+ 8x=9$

Answers

Answer:

m = $-(7)/(8)$

Step-by-step explanation:

Finding the slope of the given line

We need to find the slope of this equation to find the slope of a line perpendicular to it. This means we must solve for y.

Start off by subtracting 8x from both sides of the equation to start isolating the variable y.

$-7y=9- 8x$

Now solve for y by dividing both sides of the equation by -7.

$y=(9-8x)/(-7)$

This can be broken into two parts by distributing the negative sign from the -7 into the 9 and -8x like so:

$y=(-9)/(7) +(8x)/(7 )$

The slope of a line is the coefficient of x, so in this case the slope of the given line ( $-7y+8x=9$ ) is $(8)/(7)$ .

Finding the slope of a line perpendicular to the given line

Two lines that are perpendicular would have opposite reciprocal slopes, which means the perpendicular slope would be the negative counterpart and would be flipped.

For example, if you have 2 as the slope of one of the perpendicular lines, the other line would be the opposite (-2) reciprocal ( $-(1)/(2)$ ).

Therefore, since we have the slope of one of the perpendicular lines (the given line), we would find the opposite reciprocal of it's slope to solve this problem.

Slope: $(8)/(7)$

Opposite: $-(8)/(7)$
Reciprocal: $-(7)/(8)$

The slope of the line perpendicular to $-7y+8x=9$ is $-(7)/(8)$ .

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