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2 years ago

If the ratio of the diameter of two circles is5: what is the ration of their circumferences

1 answer:

4 0

$\displaystyle \\ 
 \frac{D_1}{D_2}=5 \\ \\ \\ 
 \frac{\text{Circumference 1}}{\text{Circumference 2}} = \frac{\pi D_1}{\pi D_1} =\frac{D_1}{D_2}=\boxed{5}$

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3 years ago

What percentage of a day is 4 hours?

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Answer:

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Step-by-step explanation:

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2 years ago

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Write the equation in slope-intercept form for the line that passes through the given point

ASHA 777 [7]

Answer:

y=x+4

Step-by-step explanation:

2y=2x+4 simplifies down to y=x-2. Since the two lines are parallel, they have to have the same slope, but different y-intercepts. This means that we just have to find the y-intercept that will allow our line to pass through (-5, -1).

If we input the coordinates into what of our equation we have thus far (y=x+b), we just have to find what b needs to equal to make the equation true.

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2 years ago

Officials begin to release water from a full man-made lake at a rate that would empty the lake in 10 weeks, but a river that can

Romashka [77]

Answer:

It takes 20 weeks to empty the lake

Step-by-step explanation:

Some rate, let's call it $R_{empty}$ empties the lake in 10 weeks and a river (with rate $R_{river}$ can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:

$R_{empty}=\frac{1\ lake}{10\ weeks}$ which implies that this rate empties 0.1 of the lake per week, thus, $R_{empty}=0.1/week$ .

Using the same idea, we can obtain that the filling rate of the river is:

$R_{river}=\frac{1\ lake}{20\ weeks} = 0.05 /week$

Since both rates are acting at the same time, the total rate of flowing water (either in or out the lake) would be given by:

$R_{total}=R_{empty}+R_{river}\\R_{total}= -0.1 + 0.05=-0.05/week$ , which means that the lake is being empty at a rate of -0.05 week and using the rule of three:

$\frac{0.05}{1} = \frac{1}{total\ of\ weeks} \\total\ of\ weeks = \frac{1}{0.05}=\frac{1}{\frac{1}{20} }\\ total\ of\ weeks = 20$

Thus, It takes 20 weeks to empty the lake.

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3 years ago

Convert 4x-2y=6 into slope intercept form

DanielleElmas [232]

Answer:

y=2x-3

Step-by-step explanation:

first, you have to get the y by itself (isolate the y). you do this by subtracting 4x from both sides.

4x-2y=6

-2y=-4x+6

next, you have to divide both side by -2 to isolate the y further and get this into slope-intercept form:

-2y=-4x+6

y=2x-3

5 0

2 years ago