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3 years ago

The numbers on two consecutively numbered gym lockers have a sum of 141. What are the locker numbers?

1 answer:

8 0

Divide 141 by 2, getting 70.5. Since 70.5 is halfway between two consecutive integers, 70 and 71, these are the locker numbers. (P.S. This method only works with odd numbers.) 70+71=141.

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The difference between two integers is 32.The ratio of these integers is 1:3.Find these integers

shutvik [7]

Answer:

16 and 48

Step-by-step explanation:

let the 2 integers be x and 3x ← ratio 1 : 3

Then

3x - x = 32 ← difference between the integers

2x = 32 ( divide both sides by 2 )

x = 16

and 3x = 3 × 16 = 48

Since magnitude of difference is 32

We can also express the difference as

x - 3x = 32

- 2x = 32 ( divide both sides by - 2 )

x = - 16

and 3x = 3 × - 16 = - 48

The 2 integers are 16 and 48 or - 16 and - 48

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3 years ago

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A locus of points equidistant from a fixed point is a

kap26 [50]

Answer:

B. bisector of an angle.

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3 years ago

When a water-cooled nuclear power plant is in operation, oxygen in the water is transmuted to nitrogen-17. After the reactor is

wolverine [178]

Answer:

The differential equation is $\frac{dR}{dt} = -kR$

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

$\frac{dR}{dt}$

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

$\frac{dR}{dt} = -kR$

7 0

3 years ago

PLEASE HELP!!!! see attachment below… I bet you cant solve this:

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

(-1) $^{i}$ (5!*5/4!) $^{1/2}$ = - $\sqrt{25}$

(-1) $^{i}$ (5!*5/4!) $^{1/2}$ = $\sqrt{25}$

So the sum of the first 100 terms is zero

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3 years ago

The minute hand of a clock is exactly 6in in length, and the tip of the minute hand has traveled ten inches since noon. What tim

frutty [35]

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\qquad 
\begin{cases}
r=radius\\
\theta =angle\ in\\
\qquad degrees\\
------\\
r=6\\
s=10
\end{cases}\implies 10=\cfrac{\theta \pi 6}{180}\implies \cfrac{180\cdot 10}{6\pi }=\theta 
\\\\\\
\cfrac{300}{\pi }=\theta \implies 95.49^o\approx \theta$

now, the circle of the clock has 360°, if we divide it by 60(minutes), we get 360/60, just 6° for each minute.

now, if there are 6° in 1 minute, how many minutes in 95.49°?

well, just 95.49/6 or about 15.92 minutes, I take it you can round it up to 16 minutes.

so 16 minutes since noon, so is about 12:16, about time get the silverware for lunch.

3 0

3 years ago

The numbers on two consecutively numbered gym lockers have a sum of 141. What are the locker​ numbers?

The numbers on two consecutively numbered gym lockers have a sum of 141. What are the locker numbers?