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Zigmanuir [339]
3 years ago
14

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the dista

nce in 1.5 h. Car B traveled 15 mph faster than Car A. How fast did Car B travel? (The formula R·T=D , where R is the rate of speed, T is the time, and D is the distance can be used.) Enter your answer for the box.
Mathematics
2 answers:
Vilka [71]3 years ago
7 0
B=60mph + A=2mph do a+b=62mph
irakobra [83]3 years ago
4 0

Answer: Car B traveled 60 mph.

Step-by-step explanation:

A= B-15

A: (B - 15)(2 hr)=D

B: (B)(1.5)=D

Since B and A traveled the same distance you can plug in 1.5B for D.

2B - 30 = 1.5B

-1.5B +30 = -1.5B

——————+30—

2(0.5B) = 2(30)

B = 60 mph

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A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap
erik [133]

Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880

So the number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.

Number of Candidates=12

Number of Posts=4

As the order is not important the number of ways are identified using Combinations given as

Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.

8 0
4 years ago
Find the measurement of ∠DOC Round your answer to the nearest whole number.
polet [3.4K]

Answer:

61.2 degrees

Step-by-step explanation:

You want to isolate x on one side of the equation and the numbers on the other side

3x + 2x + 27 = 180

3x + 2x +27 - 27 = 180-27

5x = 153

x = 153/5

x = 30.6

<DOC = 2x

2x = 30.6 x 2

61.2 degrees

7 0
3 years ago
Read 2 more answers
3. Roger runs 8 miles per hour. He ran for h
kumpel [21]

Answer:

8<em>h</em>

Step-by-step explanation:

8 miles per hour

<em>h</em> hours

plug in <em>h </em>for how many hours

8 divided by 6 is 1.3

1.3 hours to run 6 miles

8 0
3 years ago
Please Help! Gabe Amodeo a nuclear physicists needs 80 liters of a 30% acid solution. He currently has a 20% and a 60% solution
adelina 88 [10]
He needs 6 litres of the 20% and 2 litres of the 60% a simple trial and error method will do in this type of equation
6 0
3 years ago
Read 2 more answers
The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to
djyliett [7]

Answer:

<em>5.5</em>

Step-by-step explanation:

Given the set of data

5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

The average of the least and the greatest value is known as the midrange

The formula for calculating the midrange is expressed as shown:

Midrange = (Greatest value + Least value)/2

Given

Greatest value = 10

Least value = 1

Midrange = 10+1/2

Midrange = 11/2

Midrange = 5.5

<em>Hence the midrange of the data is 5.5</em>

8 0
3 years ago
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