<span>Let x = the miles Jeanie ran
y = the miles Jeanie biked
T = 2 hours total time for the duathlon
v1 = 8.5 mph Jeanie's running speed and
v2 = 16 mph Jeanie's biking speed
But T = Jean's time she ran t1 + time she biked t2 I. e t1 + t2 = 2
So we have average speed v2 when she biked = distance (y) / time (t2)
Distance y = v2 * t2 = 16 * t2 and distance when she ran x = 8.5 * t1
Since she covered 27 miles while running and biking we have
x + y = 27
8.5t1 + 16t2 =27 ------(1)
t1 + t2 = 2 --------------(2)
The simultaneous equation gives us
t1 = 2/3 and t2 which is time she biked = 4/3
So 4/3 = 1 1/3. Which is 1 hour 20 minutes</span>
Answer:
Step-by-step explanation:
( x² - 2 × 5 × x + 25 ) - 25 + 100 = ( x² - 5 )² + 75
T^2-1 and n^2-225
I don't think k^2+81 because of the "+" sign, only "-" signs are <span>differences of squares.</span>
Hey there! I'm happy to help!
A prime number is a number whose only factors are one and itself. 5 is a prime number because the only whole numbers you can multiply to get 5 are 1 and 5.
Prime factorization is finding the prime numbers that multiply to make that number.
To do this, you see what numbers it divides by. 15 is divisible by 1, giving us 15. It is not divisible by 2, but it is divisible by 3, which gives us 5.
Now, we see if 3 and 5 can be factorized even more, but they cannot as they are both prime numbers. Therefore, the prime factorization of 15 is 3,5.
Have a wonderful day! :D
Answer:
Letter a)
Step-by-step explanation:
quizlet