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andriy [413]
3 years ago
9

Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in mil

es per hour if there are 5,280 feet in a mile. Which girl bikes faster? (also can I get an explanation so I actually learn something lol)

Mathematics
2 answers:
topjm [15]3 years ago
5 0
That’s my work on the picture, the answer is nina because she rode the further distance in the shorter amount of time, i just did the converting but if you needed to you could show the unit rate too, let me know if you want me to add the work for the unit rate part

earnstyle [38]3 years ago
4 0

Step-by-step explanation:

question 1 = what is nina's rate in miles/hour

question 2 = which girl bikes faster

we need to find miles/hour but we are given feet/second so lets first convert our measurements.

63,360 / 5,280 = 12 miles

3,400 / 60 = 56 2/3 minutes     56 2/3 / 60 = 17/18 hour

so we know nina travels 12 miles in 17/18 hour, meaning she travels about 12.7 miles/hour

12.7 miles/hour is greater than 10 miles/hour meaning nina bikes faster

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Step-by-step explanation:

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4 years ago
Read 2 more answers
Write in slope intercept form an equation of the line that passes through (-2,5),(-1,1)
Juliette [100K]

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

x_1=-2\\y_1=5\\x_2=-1\\y_2=1

Now substitute into the formula

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{1-5}{-1--2}
Simplify

m=\frac{1-5}{-1+2}

Subtract

m=\frac{-4}{1}

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

See more on this topic here: brainly.com/question/27304092

4 0
2 years ago
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