Ajumbo-size 70-ounce drink at a certain gas station has 820-calories. how many calories are there in a 21-ounce drink?

246 calories in 21 oz

Step-by-step explanation:

Set up a proportion.

70 oz / 820 calories = 21 oz / x       Cross muliply

70x = 820*21                                     Combine the right.

70x = 17220                                      Divide by 70

70x/70 = 17220/70                          

x = 246 Calories

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

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.