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3 years ago

6

Katy goes to work every other day. Abby goes to work every 3 days (she takes two days off after each day she works). If they wor

ked together today, how many days will it be until they work on the same day again?

1 answer:

AlexFokin [52]3 years ago

6 0

I think it would 6 because the greatest common factor of both of them is 6.

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A large cylindrical cooler is 2 (1 )/2 feet high and has a diameter of 1 1/2 feet. It is filled 3/4 high with water for athletes

Ivahew [28]

So.. if hmm check the picture below, the radius is half that diameter

thus $\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
h=height\\
r=radius=\frac{diameter}{2}\\
----------\\
h=2\frac{1}{2}\to \cfrac{5}{2}\\
diameter=1\frac{1}{2}\to \cfrac{3}{2}\\
r=\cfrac{\frac{3}{2}}{2}\to \cfrac{3}{4}
\end{cases}\implies V=\pi \left( \cfrac{3}{4} \right)^2\cfrac{5}{2}
\\\\\\
V=\pi \cdot \cfrac{9}{16}\cdot \cfrac{5}{2}\impliedby \textit{how much is }\frac{3}{4}\textit{ of that?}
\\\\\\
\cfrac{3}{4}\left( \pi \cdot \cfrac{9}{16}\cdot \cfrac{5}{2} \right)$

simplify that away

now.. that's how much is in the cooler in cubic feet though, not in gallons

notice, our units were in feet, thus our volume is also in feet, just cubics

so. to know how many gallons, simply divide that by 231

$\bf \cfrac{\frac{3}{4}\left( \pi \cdot \frac{9}{16}\cdot \frac{5}{2} \right)}{231}\quad gallons$

4 0

4 years ago

In parallelogram HIJK, the meſsure of angle H is 57 degrees. What is the

goldfiish [28.3K]

Answer:

is 31

Step-by-step explanation:

cuz u have to divdie it to get your answer.

3 0

3 years ago

How many solutions are there to the<br>system of equations, x + y = 1<br>and 2x + 2y = 2?

larisa86 [58]

There are infinitely many solutions of the system of equations, x + y = 1

and 2x + 2y = 2

Step-by-step explanation:

We need to find how many solutions are there to the system of equations.

$x+y=1\,\,\,(1)\\2x+2y=2\,\,\,(2)$

Solving:

Multiply equation (1) with 2 and subtract with equation(2)

$2x+2y=2\\2x+2y=2\\-\,\,-\,\,\,\,\,\,\,\,\,\,\,\,-\\------\\0=0$

Since our answer is 0=0 so, there are infinitely many solutions.

Keyword: Systems of equations

Learn more about Systems of equations at:

#learnwithBrainly

6 0

3 years ago

Simply the expression (2x-9)(x+6)

Andrew [12]

2x^2+3x-54 that’s the answer .

5 0

3 years ago

T midnight, a candle was lit. At 15 minutes past midnight, the candle was 4 inches tall, and you notice that it burns at a rate

anyanavicka [17]

Answer:

a) t-4 = 3 (i - 1/4h) = h = 3i - 3 3/4h

= t = -0.75

= h = 4

b) 3.30am = 1 inch.

Step-by-step explanation:

a) formula for point slope form = y - y1 = m(x-x1)

a) t-4 = 3(i - 1/4h) converts to t-4 = 3i - 3/4h = t = 3i- 3 3/4

x = - 0.75 y = 4 = t= -0.75 and h = 4

b) 12.15am = 4 inches

1.15am = 3.25 inches

2.15am = 2.5 inches

3.15am = 1.75inches

3.30 = 1 inches

3.15 + 15mins = 1 inch

6 0

3 years ago