I NEED HELP! The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the change in temperature per hour? Negative StartFraction 7 over 2 EndFraction divided by StartFraction 49 over 4 EndFraction
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Negative StartFraction 49 over 4 EndFraction times StartFraction 7 over 2 EndFraction
Negative StartFraction 49 over 4 EndFraction divided by StartFraction 7 over 2 EndFraction

Last option is the correct choice.

Step-by-step explanation:

Convert the mixed numbers into fraction and apply the rate formula.

Rate = Change / Unit Time

= 12 1/4 ÷ 3 1/2

= 49/4 ÷ 7/2 (Answer matching with the last option)

= 49/4 x 2/7 (Inverting the second fraction)

= 7/2

= 3 1/2

The rate of change per hour is 3 and a half degrees in temperature.

Best Regards!

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.