Between what two consecutive integers is the square root of 151?

a. 9 and 10

b. 11 and 12

c. 14 and 15

d. 12 and 13

12 and 13

Step-by-step explanation:

We are required to find the two consecutive integers among which the square root of 151 lies. In order to solve this problem , let us first guess the nearest perfect squares to 151. The 144 is the perfect square which comes before 151 and 169 is the perfect square which comes after 151. Hence the square roots of 144 and 169 will be our integers.

Square root of 144 = 12 and the Square root of 169 = 13

Hence our answer is 12 and 13.

step-by-step explanation:

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.

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