3 years ago

Janice can ride her bike 4 miles in 30

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

Answer:

I believe it would be 7.5 miles in one hour.

Step-by-step explanation:

Write the problem out as a proportion. Divide 60 by 24. This is 2.5, so you then multiply the 3 miles by 2.5. There's your answer! :)

24 Minutes 60 Minutes

------------------- = ------------------

3 Miles (x2.5) 7.5 Miles

You might be interested in

Josh rides his bike along a 9-mile trail. There are trail markers every mile. The markers start at mile and end at 9 miles. How

chubhunter [2.5K]

The answer should be 9...

4 0

3 years ago

When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.

Juliette [100K]

$x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0$

$Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution$

$x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \ 0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \ 0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \ 0$

$Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}$