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Taya2010 [7]
3 years ago
7

James can jog twice as fast as he can walk. He was able to jog the first 9 miles to his grandmother’s house, but then he tired a

nd walked the remaining 1.5 miles. If the total trip took 2 hours, then what was his average jogging speed?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0

Answer:

6 mile/hour

Explanation :



Let the speed of walking of James = x mile/hour


speed of jogging = 2x mile/hour


9/2x + 1.5/x = 2


= > (9 + 3)/2x = 2


= > 12 = 4x


= > x = 3


Average speed of walking = 3 mile/hour


Average speed of jogging = 2 * 3 = 6 mile/hour

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Find the solution of 2x+2y=10 and x=5y+20
Sever21 [200]

Answer:

(15/2, -5/2)

Step-by-step explanation:

1. Sub x=5y+20 into 2x+2y=10 and simplify as shown below.

  2(5y+20)+2y=10

  10y+40+2y=10

  12y+40=10

  12y=-30

  y=-30/12

  y=-5/2

2. Sub in y=-5/2 into 2x+2y=10 to find x and simplify as shown below.

  2x+2(-5/2)=10  

  2x-5=10

  2x=15

  x=15/2

8 0
2 years ago
The total cost renting a bicycle is $10 flat fee plus an additional $7.50 per hour. If the total cost was $55, for how many hour
MrMuchimi
The bicycle was rented for 6 hours.
7 0
3 years ago
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Jenny has 12 bottles of iced tea in her cooler. If there are 6 liters of iced tea in all, how many milliliters does each bottle
VMariaS [17]
12 bottles = 6 liters

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Find 1 bottle
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12 bottles = 6 liters
1 bottle = 6 ÷ 12
1 bottle = 0.5 liters
1 bottle = 500 ml

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Answer: 1 bottle = 500 ml
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8 0
3 years ago
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How many ways are there to deal hands of five cards to each of six players from a deck containing 48 different cards
kow [346]

Using the combination formula, it is found that there are 6.4 \times 10^{32} ways to deal the cards to the six players.

The order in which the cards are handed to each player is not important, hence the <em>combination formula</em> is used to solve this question.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem:

  • For the first player, 5 cards are taken from a set of 48.
  • For the second player, they are taken from a set of 43.
  • For the third for a set of 38, for the fourth from a set of 33, for the fifth from a set of 28 and for the sixth from a set of 23, hence:

T = C_{48,5} \times C_{43,5} \times C_{38,5} \tims C_{33,5} \times C_{28,5} \times C_{23,5}

6.4 \times 10^{32}

There are 6.4 \times 10^{32} ways to deal the cards to the six players.

More can be learned about the combination formula at brainly.com/question/24372153

#SPJ1

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If you help me with I will be very
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First you will have to put the greater to least
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