What is the best estimate of the sum of the fractions? 31/4 + 17/3 + 8/18

O 12 1/2
O 13
O 14 1/2
O 15

14 1/2

Step-by-step explanation:

Estimations only help us do some rough calculations. They don't give us correct answer but, again, they aren't supposed to.

When estimating sum of the fractions, we should estimate each fraction separately and then just add those estimations up.

For example, 31/4 is somewhere just below 8, but we'll estimate it to 8. Similarly, 17/3, is a bit less then 6, but close enough to be rounded up.

Finally, 8/18 is somewhere near 1/2, so we round it up to that value.

Now, we simply add up all these estimations:

8+6+1/2 = 14 1/2

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.