One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 60 minutes. How long will it take the two hoses to fill the pool working together?

Step-by-step explanation:

1st horse time = 65 min/job; invert to get rate = 1/65 job/min

2nd horse time = 35 min/job ; invert to get rate = 1/35 job/min

Together Time = n min/job ; invert to get rate = 1/x job/min

Equation:

rate + rate = together rate

1/65 + 1/35 = 1/n

35x + 65n = 35*65

100n = 2275

n = 22.75 minutes = 22 minutes 45 seconds

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

d 600 because 15*10*2=300

300+300=600

step-by-step explanation: