Convert 4.15 to a fraction in lowest terms

Answers

Answer 1

Answer: 4 $(3)/(20)$

Answer 2

Answer: 4.15
= 4+ 0.15
= 4+ 15/100
= 4+ 3/20
= 80/20+ 3/20
= 83/20

The final answer is 83/20~

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a swimmingnpool is 50 meters long. Jamie swam 60 lengths of the pool in one week. How many kilometers did she swim

Answers

the awnser is either 1050 or 3000 choose witch one is more reasonable for your question

Jamie swam: 3 km

The answer is 3 km because,

50 x 60 = 3,000

As we know 1 km = 1,000 meters.

So3 km would equal 3,000 meters.

That being said, 3 km is the answer!

A major league baseball player hits 70 homeruns in 162 games.create a unit rate for this questionidk whata. unit rate is

Answers

-- (162 games) / (70 homers) = average of 2.314 games per home run.

-- (70 homers) / (162 games) = average of 0.432 home run per game.

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
to find the unit rate of this problem you divide 162 by 70 which is 2.31

last month you swam the 50-meter freestyle in 28.38 seconds. today you swam it in 27.33 seconds. what is your percent of change?

Answers

The distance is the same(50 meters). So we will operate only with numbers 28.38 and 27.33.
The difference is 28.38-27.33=1.05
So the percent of change is (1.05/28.38)*100%≈3.7%
The answer is 3.7%

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: $(8)/(7)$