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aleksklad [387]
3 years ago
10

Suppose that a cyclist began a 374 mi ride across a state at the western edge of the​ state, at the same time that a car traveli

ng toward it leaves the eastern end of the state. If the bicycle and car met after 5.5 hr and the car traveled 33.433.4 mph faster than the​ bicycle, find the average rate of each.
Mathematics
1 answer:
kherson [118]3 years ago
4 0
This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
thus the speed of the bicycle was x=17.2833 mph
The speed of the car was (x+33.4334)=(17.2833+33.4334)=50.7167 mph

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A box contains 19 large marbles and 18 small marbles. Each marble is either green or white. 9 of the large marbles are green, an
pshichka [43]

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Step-by-step explanation:

A box contains 19 large marbles and 18 small marbles

Each marble is either green or white

9 of the large marbles are green, and 8 of the small marbles are white

If a marble is randomly selected from the box, we need to find the

probability that it is small or green

1. Find P(small) ⇒ P(s)

2.Find P(green) ⇒ P(g)

3. Find P(small and green) ⇒ P(s and g)

4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)

∵ The box contains 19 large marbles and 18 small marbles

∴ The total number of marbles = 19 + 18 = 37

∴ P(s) = \frac{18}{37}

∵ There are 8 small white marbles

∵ There are 18 small marbles

∴ The number of small green marbles = 18 - 8 = 10

∴ P(s and g) = \frac{10}{37}

∵ There are 9 large green marbles

∵ There are 10 small green marbles

∴ The number of green marbles = 9 + 10 = 19

∴ P(g) = \frac{19}{37}

∵ P(small or green) = P(s) + P(g) - P(s and g)

∴ P(small or green) = \frac{18}{37}+\frac{19}{37}-\frac{10}{37}

∴ P(small or green) = \frac{27}{37} = 0.7297

If a marble is randomly selected from the box, then the probability

that it is small or green is 0.7297

Learn more:

you can learn more about probability in brainly.com/question/13053309

#Learnwithbrainly

5 0
3 years ago
I barely ask questions but I really need help with #3 and a little with 4. On number four I got 1 1/20 which doesn’t seem right.
uranmaximum [27]
Let r, g and b represent red, green and blue.

r+g+b = 74

r=g-1

b=r+g

Again, r+g+b = 74.  Let's substitutte r+g for b:  r+g+(r+g) = 74.

Next, let's eliminate r.  Use r=g-1.  Then      g-1  + g + g-1 + g = 74

Combining the g terms,  4g - 2 = 74     => 4g = 76   =>  g = 19

Recall that r=g-1
and 
b=r+g

Find r.  If r=g-1, and g=19, then r = 19-1=18

Find b:  b = r+g = 18+19=37

So there are 37 blue candies, 18 red candies and 19 green candies.

Check:  37+18+19=74 ???  Yes.
8 0
3 years ago
To fit in an existing frame, the length, x, of a piece of glass must be longer than 12 cm but not longer than 12.2 cm. Which ine
8090 [49]
The answer is A) <span>12 < x ≤ 12.2</span>
4 0
3 years ago
Read 2 more answers
How to do this question plz ​
enyata [817]

Answer:

  x = 10

Step-by-step explanation:

Use the Pythagorean theorem. The sum of the square of the sides is the square of the hypotenuse.

  x² +(√200)² = (√300)²

  x² = 300 -200

  x = √100 = 10

The length of the unknown side is 10 units.

3 0
3 years ago
Is 262015 divisible by 4?
eduard

Answer:

65503.75

Step-by-step explanation:

262015 divisble by 4 = 65503.75

4 0
3 years ago
Read 2 more answers
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