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Maurinko [17]
3 years ago
13

Answer with a complete sentence. Eric and Jan leave their house at one o-clock, following the same route. Jan walks at a steady

pace of 4 mph. Eric walks at a leisurely 2 mph for 2 hours, and then jogs at 6 mph. When will he catch up with her?
Mathematics
1 answer:
xenn [34]3 years ago
7 0

Answer:

Eric will catch up with Jan at 3 o-clock.

Idk I really tried sorry if its wrong lol

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HELP PLEASE!!! I need help with 94 if you could show the steps that would be very helpful!
aksik [14]
A combination is an unordered arrangement of r distinct objects in a set of n objects. To find the number of permutations, we use the following equation:

n!/((n-r)!r!)

In this case, there could be 0, 1, 2, 3, 4, or all 5 cards discarded. There is only one possible combination each for 0 or 5 cards being discarded (either none of them or all of them). We will be the above equation to find the number of combination s for 1, 2, 3, and 4 discarded cards.

5!/((5-1)!1!) = 5!/(4!*1!) = (5*4*3*2*1)/(4*3*2*1*1) = 5

5!/((5-2)!2!) = 5!/(3!2!) = (5*4*3*2*1)/(3*2*1*2*1) = 10

5!/((5-3)!3!) = 5!/(2!3!) = (5*4*3*2*1)/(2*1*3*2*1) = 10

5!/((5-4)!4!) = 5!/(1!4!) = (5*4*3*2*1)/(1*4*3*2*1) = 5

Notice that discarding 1 or discarding 4 have the same number of combinations, as do discarding 2 or 3. This is being they are inverses of each other. That is, if we discard 2 cards there will be 3 left, or if we discard 3 there will be 2 left.

Now we add together the combinations

1 + 5 + 10 + 10 + 5 + 1 = 32 choices combinations to discard.

The answer is 32.

-------------------------------

Note: There is also an equation for permutations which is:

n!/(n-r)!

Notice it is very similar to combinations. The only difference is that a permutation is an ORDERED arrangement while a combination is UNORDERED.

We used combinations rather than permutations because the order of the cards does not matter in this case. For example, we could discard the ace of spades followed by the jack of diamonds, or we could discard the jack or diamonds followed by the ace of spades. These two instances are the same combination of cards but a different permutation. We do not care about the order.

I hope this helps! If you have any questions, let me know :)








7 0
3 years ago
Twelve boys and fourteen girls decide to rent a 16 passenger van and a 10 passenger van to drive to a
elena55 [62]
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6 0
2 years ago
PLEASE HELP ME I HAVE OTHER HOMEWORK TO BE FINISHED!!
Butoxors [25]

Step-by-step explanation:

Pyramid

1/2 * 12 * 15

6 * 15 = 90

90 * 4 = 360cm

Cube

12 * 12 = 144

144 * 4 = 576cm

576 + 360 =

936 cm² of paint

4 0
3 years ago
Solve the expression for x: (17 – 5) (x + 6) = 3x – 12
patriot [66]

(17-5)(x+6)-(3x-12)=0

12(x+6)-(3x-12)=0

12x-(3x-12)+72=0

12x-3x+12+72=0

9x+84=0

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7 0
3 years ago
Write an absolute value equation or inequality to describe each graph
Rina8888 [55]

Step-by-step explanation:

|x|   \geqslant 1.5

Or basically,

x  \geqslant 1.5

or

x \leqslant  - 1.5

6 0
1 year ago
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