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2 years ago

15

How do I express 3.25 as a fraction when the 5 is repeating?

2 answers:

Verizon [17]2 years ago

8 0

I hope this can help....

BaLLatris [955]2 years ago

3 0

3.25 as a fraction is 31/4. First, you take the first number input is as the outer number, then 25 as a fraction is 1/4.

Or

How to express a repeating decimal number as a... There is a rule for converting a repeating decimal number into a fraction. Period. Period, 4/5 equals 8/10.

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3 years ago

What is the volume of this sphere?

White raven [17]

V = 113.04 m3

Step-by-step explanation:

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2 years ago

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2 years ago

Find the slope of a line perpendicular to 3x + 5y = 15.

Zielflug [23.3K]

Answer:

B)5/3

Step-by-step explanation:

"3x + 5y = 15."

Rewrite in slope-intercept form.

The slope-intercept form is

y=mx+b

where m is the slope and b is the y-intercept.

y=mx+b

Subtract 3x from both sides of the equation.

5y=15−3x

Divide each term by "5" and simplify.

5y/5=15/5−3x/5

"5" and "5" cancel each other out

Divide 15 by 5

y=3-3x/5

Reorder 3 and −3x/5

y=-3x/5+3

Rewrite in slope-intercept form.

y=−3/5x+3

Slope:-3/5

The equation of a perpendicular line to y=−3x/5+3 must have a slope that is the negative reciprocal of the original slope.

<em>m</em>perpendicular=−1/(−3/5)

Simplify the result.

mperpendicular=5/3

hope this helps!

8 0

3 years ago

Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for he

Ipatiy [6.2K]

Let Jean's speed while running = x mph

Then Jean's speed while riding will be = x+9 mph

Distance covered by running = 8 miles

Distance covered by riding = 11 miles

Total time taken to complete the race = 1.5 hours

As, $time=\frac{distance}{speed}$

So, time for running= $\frac{8}{x}$

And time for riding= $\frac{11}{x+9}$

Equation becomes:

$\frac{8}{x}+\frac{11}{x+9}=1.5$

Now, multiply every term by 2x(x+9) to clear denominators:

$16(x+9)+22x=3x(x+9)$

Simplifying it we get

$3x^{2}-11x-144=0$

Solve the quadratic equation using formula

$x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}$

putting a=3 , b= -11, c= -144

we get (x - 9)(3x + 16) = 0

where x=9 and x= $\frac{-16}{3}$

Neglect the negative answer as speed cannot be negative, so x = 9 mph

Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph

4 0

3 years ago