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mr Goodwill [35]
2 years ago
6

Graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an hour. If his t

otal traveling time was 1 hour, what was the total number of miles in the round trip?
Mathematics
1 answer:
Katen [24]2 years ago
3 0

x/3 + x/5 = 1 hr

8x/15 = 1 hr

x = 15/8

15/8 times 2 for round trip. 15/4 miles or 3.75 miles total

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Two cards are drawn without replacement from a standard deck of cards. What is the probability that the second one is a black ca
forsale [732]

Answer:

The probability is 169/2652

Step-by-step explanation:

The number of cards in a deck of cards is 52

In each deck of cards, there are 13 black cards and 13 spade cards

The probability of selecting a spade card will be;

13/52 = 1/4

Without replacement, we are left with 51 cards and the probability of selecting a black card will now be 13/51

So the probability of the second card being a black card if the first is spade will be ;

13/52 * 13/51

= 169/2,652

4 0
2 years ago
A sports teacher had 1025 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1
Cerrena [4.2K]

Step-by-step explanation:

Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).

As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):

1) 512 => 2 partecipants

2) 256 => 4 partecipants

3) 128 => 8 partecipants

4) 64 => 16 partecipants

5) 32 => 32 partecipants

6) 16 => 64 partecipants

7) 8 => 128 partecipants

9) 4 => 256 partecipants

10) 2 => 512 partecipants

The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.

Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.

5 0
2 years ago
Matrix question help needed
kramer

The required matrix is:

\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]

Step-by-step explanation:

We need to apply elementary row operation -2R₂+3R₁ tothe matrix:

A=\left[\begin{array}{ccc}-3&5&2\\8&-1&3\\\end{array}\right]

Multiplying Row 2 with -2 and Row1 with 3 and adding,

-9 15 6

-16 2 -6

----------

-25 17  0

After applying this operation, Row 1 will be changed while Row 2 will remain same because we get -2R₂+3R₁ -> R₁

The required matrix is:

\left[\begin{array}{ccc}-25&17&0\\8&-1&3\\\end{array}\right]

Keywords: Matrices, elementary row operation

Learn more about matrices at:

  • brainly.com/question/4464845
  • brainly.com/question/8301701

#learnwithBrainly

6 0
3 years ago
2(1-4)-3(2+1) equals what
AysviL [449]

It would be -15 as the answer

6 0
3 years ago
Read 2 more answers
Need help on this ASAP!!!!
mestny [16]

The answer is D. He divided both sides by 5 instead of dividing both sides by -5.


8 0
3 years ago
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