SparklingWater2

9+10=21_9

You do Intro to algebra B. What's ur user?

lets say there are b boys. This means tehr are 3b/4 girls. b+3b/4=7b/4=63

solving for b, we have

b/4=9

b=36

3/4 x 36 = $\boxed{27}$

Lets call the point of dilation O.

XX'=4XO

YY'=4YO

XO=1/4 of XX'

YO=1/4 of YY'

X'Y'=4XY

XY=X'Y'/4

X'Y'=2

XY=$\boxed{\dfrac12}$

there are 4x3x2 ways to get one from each suit, which includes aces.

there are 4x4x4x4 ways in total, so (4x3x2)/(4x4x4x4)=$\boxed{\dfrac3{32}}$

1/3 of the spinner = 12 x 1/3 = 4

there are 4 indigo blue, so the answer is $\boxed{Indigo \ Blue}$

probability you choose an ace:4/52=1/13

probability to choose an ace 4 times: (1/13)^4 = $\boxed{\dfrac1{28561}}$

first find out how many there are:

1/2 x 32 + 5 = 16 + 5 = 21

21 = how many are not plain

32-21=11.

There are 11 plain popcorn balls. this means that the chance of choosing a plain is $\boxed{\dfrac{11}{32}}$

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 :)