Amy can mop the store in 30 minutes. James can mop the store in 45 minutes. How long would it take them if they worked together?

1 answer:

5 0

Solve the equation 1/30 + 1/45 = 1/x

where x is the required time

multiply thru by 90x:-

3x + 2x = 90

x = 90 / 5 = 18

answer 18 minutes

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Kyle and Taylor ran laps after school to train for the baseball team. The ratio of the number of laps Kyle ran to the number of

Zinaida [17]

Answer:

9 laps.

Step-by-step explanation:

-Let x be the number of laps Taylor runs.

-Given that the ratio of Kyle to Taylor laps is 2:3, we express the actual laps in meters to solve for x as follows:

$\frac{Kyle}{Taylor}=\frac{2}{3}\\\\\therefore \frac{2}{3}=\frac{6}{x}\\\\2x=18\\\\x=9$

Hence, Taylor runs 9 laps.

4 0

3 years ago

Need help with homework

motikmotik

We have two points describing the diameter of a circumference, these are:

$\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}$

Recall that the equation for the standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

$M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})$

Now, we replace and solve:

$\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}$

The center of the circle is (-8,-7), so:

$\begin{gathered} h=-8 \\ k=-7 \end{gathered}$

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation: