Tiara and juan competed is a 36 mile bike race. tiara biked 2/3 of the race before stopping for water and juan biked 5/12 of the race before stopping. how many more miles did tiara bike than juan before stopping for water?

9 miles.

Step-by-step explanation:

1. You know that :

- Tiara biked 2/3 of the race before stopping for water.

- Juan biked 5/12 of the race before stopping.

2. Then, Tiara biked:

(2/3)*36 miles=24 miles

3. And Juan biked:

(5/12)*36 miles=15 miles

4. Therefore, to calculate the amount of miles Tiara biked than Juan before stopping for water you must make the following subtraction:

24 miles-15 miles=9 miles

9 miles

Step-by-step explanation:

We know that the race is of 36 miles and Tiara biked 2/3 of the race before stopping for water and Juan biked 5/12 of the race before stopping.

No. of miles Tiara biked before stopping = ×

No. of miles Juan biked before stopping =   ×

Therefore, number of miles Tiara biked more than Juan before stopping for water = 24 - 15 = 9

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )