SparklingWater2

64/15=4 r 4

so he has to do it one extra time. so the answer is $\boxed{5}$

22x3/4=16 1/2

11x1/2=5 1/2

5 1/2+16 1/2=22

22x6.13=$\boxed{\$134.86}$

Similarities:

Circumference and area both include pi in their formulas.

Circumference and area both include the radius.

Differences:

Circumference is measured in units^1 where area is measured in units^2

Circumference=2$\pi$r

area=$\pi$r$^2$

Other angles sum up to 240$^\circ$

mean of all 4 numbers:360/4=90

120-90=30

Lowest number: 90-30=$\boxed{60}$

2:4x3 possible ways so 12/72=1/6

6:4x3 possible ways so 12/72=1/6

10:3x2 possible ways so 6/72=1/12

11:4x2 possible ways so 8/72=1/9

15:3x2 possible ways, so 6/72=1/12

20:2x1 possible ways, so 2/72=1/36

Answer:$\boxed{\dfrac16,\dfrac16,\dfrac1{12},\dfrac19,\dfrac1{12},\dfrac1{36}}$

X=lowest number

extreme right=x+60

middle = x+30

x+60=x+30+x+32 

or

x+60=x+30+x+28

A) 160x6/5=$\boxed{192}$

B) 192x3/4=$\boxed{144}$

C) 160+192+144=$\boxed{496}$

there were 26 minutes in that time range.

each minute Texty Ted Texes 38/3 messages.

26x38/3=329.33...

rounded, he sent 329 messages.

3/4 of a protein bar is 1 1/2 servings. so, ever 2 days, he gets 3 servings. every 7 days he gets 10 1/2 servings. 10 1/2 x 15 grams of protein = $\boxed{157\dfrac12}$ grams of protein.

Sorry XD

for a triangle to be possible, we must have

a+b>c

b+c>a and

c+a>b

where a b and c are all real positive integer side lengths.

the smallest possible number is 3, because that evenly divides into 1,1, and 1.

similarly, we have 4, 1,1, and 2, because either way you end up with the same iscocolese triangle.

we have 5, which has to be 1,2,2, not 1,1,3, because 1+1 is not greater than 3.

then we have 6, which has to be 2,2,2,  because 1,2,3 and 1,1,4 does not work for the same reason as 5.

for any number above 6, it works beacuse there are different ways to arrange the side lengths. 

hope that helped :)