1/5 of the population cycle to work. if 2/3 of these cyclists ride mountain bikes, what fraction of the population cycle with mountain bikes to work?

Step-by-step explanation:

Let's change the denominator of

to 15 as it is the lowest common multiple of both denominators, 5 and 3.

Now, think of it this way, there are 15 people cycling and

of them cycle to work.

Out of these 15 cyclists, 3 of them go to work. As

of these remainders cycle via mountain bikes, we can find how many people ride mountain bikes to work.

As there was a total of 15 people at the start and 2 who rode mountain bikes to work, the fraction of the population who rides mountain bikes to work will be

Short

the first one

step-by-step explanation:

just id the test.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.