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marissa [1.9K]
3 years ago
7

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B

in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?A. 36 minutes 22 secondsB. 46 minutes 22 secondsC. 36 minutes 12 secondsD. 46 minutes 12 seconds
Mathematics
1 answer:
grin007 [14]3 years ago
5 0

Answer:

D. 46 minutes 12 seconds

Step-by-step explanation:

To find the answer, we need to calculate the least common multiple of 252,308 and 198

252=2^{2}×3^{2}×7

308=2^{2}×7×11

198=2×3^{2}×11

Then <em>least common multiple</em> is

2^{2}×3^{2}×7×11=2772 seconds

2772 = 46×60 + 12

Therefore 2772 secondsis equal to 46 minutes 12 seconds.

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How many of the 100 bin A items can be recycled at a specialized center?
pentagon [3]
Depending on how big the center is, I would say 15.
I hope this helped!
3 0
3 years ago
Which is the value of the expression ((10^4)(5^2)/(10^3)(5^3))^3
dimulka [17.4K]

Answer:

8

Step-by-step explanation:

Let's set this up to see if we can simplify it a bit:

(\frac{10^4*5^2}{10^3*5^3})^3

Notice we have 4 tens on top and 3 on bottom, so we can eliminate the bottom 3 altogether and leave just one on top.  And we have 2 fives on the top and 3 on bottom, so we can eliminate the 2 on the top and leave one on the bottom.  Now that looks like this:

(\frac{10}{5})^3

10 divided by 5 is 2, and 2 cubed is 8

8 0
3 years ago
Help with this question please
dimaraw [331]

The answer should be C

4 0
3 years ago
HELP 5 STAR + THANKS What series of transformations from △ABC to ​ △DEF ​ shows that △ABC≅△DEF ? a reflection across the y-axis
nirvana33 [79]
In the given triangle, the verteces are A(-4, 1), B(-6, 5), C(-1, 2).
A refrection across the x-axis will result in A'(-4, -1), B'(-6, -5), C'(-1, -2)
A translation of 1 unit to the right will result in A"(-3, -1), B"(-5, -5), C"(0, -2)
A translation of 1 unit down will result in A"'(-3, -2), B"'(-5, -6), C"'(0, -3) which corresponds to points DEF.
Therefore, the series of transformation required to transform ABC to DEF are <span>a reflection across the x-axis followed by a translation of 1 unit right and 1 unit down.</span>
7 0
3 years ago
Please help thanks :)
kykrilka [37]
Question 1:

Multiply both sides of the proportion by 35.

You get.

7(x-1) = 4x+2

7x-7 = 4x+2

Now, add both sides by 7 and subtract both sides by 4x

3x = 9

Divide both sides by 3

x=3

Question 2:

Multiply both the numerator and the denominator of \frac{x+1}{x+3} by 3.

We want to multiply it by 3 so that the +1 and +3 become +3 and +9. +3 and +9 have a difference of 6, just like 15 and 21, which is what we want.

\frac{3x+3}{3x+9} = \frac{15}{21}

Set the numerator equal to the numerator and the denominator equal to the denominator.

3x+3 = 15

3x+9 = 21

If you solve both of these, you get x=4 for both.

That's your answer.

Hope this helps! :)
8 0
3 years ago
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