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3 years ago

The school cafeteria sells 300 half-pints Of milk everyday. How many gallons of milk is that?

Mathematics

1 answer:

Natali [406]3 years ago

7 0

37.5 gallons of milk, you welcome.

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How to convert base two to base three

sladkih [1.3K]

Consider this example: say we want to convert x = 11 0101 1001₂ to base 3.

The binary expansion of x is

x = 1×2⁹ + 1×2⁸ + 1×2⁶ + 1×2⁴ + 1×2³ + 1×2⁰

which in base 10 reduces to

x = 512 + 256 + 64 + 16 + 8 + 1 = 857

Recall the first several powers of 3:

3⁰ = 1; 3¹ = 3; 3² = 9; 3³ = 27; 3⁴ = 81; 3⁵ = 243; 3⁶ = 729

Now it's a matter of computing quotients and remainders. Pick the largest power of 3 that fits into the target number, then check the remainder and repeat.

• How many times does the 729 go into 857? 1 time, and it leaves a remainder of 128, or

857 = 1×729 + 128 = 1×3⁶ + 128

• How many times does 81 go into 128? Also 1 time, so

128 = 1×81 + 47 = 1×3⁴ + 47

• How many times does 27 go into 47? Also 1 time,

47 = 1×27 + 20 = 1×3³ + 20

• How many times does 9 go into 20? 2 times,

20 = 18 + 2 = 2×9 + 2 = 2×3² + 2

• How many times does 1 go into 2? Also 2 times,

2 = 2 + 1 = 2×1 + 0 = 2×3⁰

So we found

857 = 1×3⁶ + 1×3⁴ + 1×3³ + 2×3² + 2×3⁰

which is the ternary expansion of x,

x = 1 011 202₃

6 0

3 years ago

What do you call it when police interrogate a cows husband

aniked [119]

The answer is
"Question-a-bull"

5 0

3 years ago

I WILL MARK BRAINLIEST FOR CORRECT ANSWER :)

Ostrovityanka [42]

The answer to that question would be 14

4 0

3 years ago

Read 2 more answers

PLEASE HELP ASAPPPP , Thank you sm .

Montano1993 [528]

Answer: i think 2 feet, not really sure tho ':)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Ab and bc form a right angle at point B. if a= (-3,-1) and B= (4,4) what is the equation of BC?

Vesnalui [34]

Answer:

Option C $-7x-5y=-48$

Step-by-step explanation:

step 1

Find the slope of AB

we have

A(-3,-1) and B(4,4)

The slope m is equal to

$m=(4+1)/(4+3)$

$m=5/7$

step 2

Find the slope of BC

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

$m1*m2=-1$

we have

$m1=5/7$

substitute

$5/7*m2=-1$

$m2=-7/5$

step 3

Find the equation of the line into slope point form

$y-y1=m(x-x1)$

we have

$m=-7/5$

$B(4,4)$

substitute

$y-4=-(7/5)(x-4)$

Multiply by 5 both sides

$5y-20=-7x+28$

$7x+5y=28+20$

$7x+5y=48$

Multiply by -1 both sides

$-7x-5y=-48$

3 0

3 years ago