Which of the two numbers is a better estimate for the square root of 12? Explain.

Mathematics

1 answer:

valentina_108 [34]3 years ago

5 0

Answer:

3 < square root of 12 < 4

Step-by-step explanation:

When estimating square roots find the closest perfect square.

So the previous root of 12 is √9 because it is 3, and the next root is √16 which is 4.

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12 gallons of water fill a tank of 3/4 capacity if the tank is fill full how many half gallons bottles can be filled with water

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san4es73 [151]

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Solve for t. −3t≥39 t≥−13 t≤13 t≥13 t≤−13

kozerog [31]

One solution was found : t ≤ -13 (Last answer choice)

Pull out like factors :

-3t - 39 = -3 • (t + 13)

Divide both sides by -3

Remember to flip the inequality sign:

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3 years ago

Two trains are 400 miles apart, and their speeds differ by 10 mph. They travel toward each other and meet in 4 hours. Find the s

Katen [24]

So.. the two trains, are 400 miles apart, their speeds differ by 10, so one train is faster than the other.. .let's say train A is faster than train B, by 10mph

so if train A has a speed rate of "r", then B has a rate of "r - 10"

after train A has beeng running for 4hrs, it has travelled a distance "d"

train B has travelled also for 4hrs, they're both 400 miles apart, and travelling towards each other, so the total distance travelled by both is 400miles

so after 4hours B has travelled the slack from 400 and "d", namely 400 - d

recall your d = rt --> distance = rate * time

$\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
\textit{Train A}&d&r&4\\
\textit{Train B}&400-d&r-10&4
\end{array}\\\\
-----------------------------\\\\

\begin{cases}
\boxed{d}=4r\\
400-d=(r-10)4\\
----------\\
400-\boxed{4r}=(r-10)4
\end{cases}$

solve for "r", to find the speed of the faster train A

what's the speed of B? well, B's rate is r - 10

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3 years ago