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tigry1 [53]
2 years ago
6

41. Suppose a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h o

n the way back. The return trip takes 1 h longer than the trip there.
a. Let d be the distance in miles the family traveled to visit their relatives. How

many hours did it take to drive there?

b. In terms of d, how many hours did it take to make the return trip?

C. Write and solve an equation to determine the distance the family drove to see

their relatives. What was the average rate for the entire trip?
Mathematics
1 answer:
Afina-wow [57]2 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:

60 mi/h = d/x

d = 60x

When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:

40 mi/h = d/(x+1)

d = 40(x + 1) = 40x + 40

Equating both equations:

60x = 40x + 40

60x - 40x = 40

20x = 40

x = 40/20

x = 2 h

The time taken to drive there = x = 2 hours

b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours

c) The distance d = 60x = 60(2) = 120 miles

The total distance to and fro = 2d = 2(120) = 240 miles

The total time to and fro = 2 h + 3 h = 5 h

Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h

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Answer: 8648640 ways

Step-by-step explanation:

Number of positions = 7

Number of eligible candidates = 13

This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.

The combination Formula is denoted as:

nCr = n! / (n-r)! * r!

Where n = total number of possible options.

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Hence, selecting 7 candidates from 13 becomes:

13C7 = 13! / (13-7)! * 7!

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8 0
3 years ago
A Pharmacist whishes to mix a solution that is 6% Minoxidil. She has on hand 100 ml of 4% solution and wishes to add some 8% sol
Kaylis [27]

Answer:

She would need 100 ml of the 8% solution

Step-by-step explanation:

You can always answer these questions using a proportion. The numerator will represent the amount of Minoxidil, and the denominator will represent the total amount of solution

She already ha 100 ml of a 4% solution. That means that she has 4 ml of Minoxidil already

\frac{4 + 0.08(S)}{100 + S} =\frac{6}{100}

We can multiply both sides by 100 for simplicity

\frac{400 + 8S}{100+S}=6\\ 400 + 8S =6(100 + S)\\400 + 8S = 600 + 6S\\2S = 200\\S = 100

8 0
2 years ago
Jalen inherited a collection of vintage comic books. An appraiser separated the comic
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Jalen has total 63 comic books.

Step-by-step explanation:

Given,

Total value of comic books = $3135

Let,

Number of $45 comic books = x

Number of $65 comic books = y

According to given statement;

45x+65y=3135     Eqn 1

x=y+33                  Eqn 2

Putting value of x from Eqn 2 in Eqn 1

45(y+33)+65y=3135\\45y+1485+65y=3135\\110y=3135-1485\\110y=1650\\

Dividing both sides by 110

\frac{110y}{110}=\frac{1650}{110}\\y=15

Putting y=15 in Eqn 2

x=15+33\\x=48

Total comic books = x+y

Total comic books = 48+15 = 63

Jalen has total 63 comic books.

Keywords: addition, elimination method

Learn more about elimination method at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

7 0
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Answer:

31,564

Step-by-step explanation:

82,062 - 50,498 = 31,564

7 0
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