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elixir [45]
2 years ago
8

On a family vacation, Amy's dad drove the car at a constant speed and traveled 585 miles in 13 hours. At this rate, how long wou

ld it have taken the family to travel 810 miles?
Mathematics
1 answer:
andreev551 [17]2 years ago
3 0
The answer to that question is 18 hours.
You might be interested in
What’s the difference in feet between 130 yards and 120 meters
marta [7]

Answer:

130 yards equals 118. 8 meters and 120 meters equals 131 .2 yards so not only are they different measurement types but they also do not equal the same.

Step-by-step explanation:

6 0
3 years ago
About 1/5 of all adults in the United States have type O blood. If four randomly selected adults donate blood, find the probabil
OlgaM077 [116]

Answer:

We know that:

1/5 = 0.2 of all adults in US have type O blood.

Then: 4/5 = 0.8 of all adults in US do not have type O blood.

a)  All four are type O.

Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8

Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:

P  =0.2^4 = 0.0016

b) None of them is type O.

Similar to the above case, but this time we work with four times the probability 0.8

P = 0.8^4 = 04096

c) Two of the four are type O.

Here we will have two times the probability 0.2, and two times the probability 0.8.

p = 0.2^2*0.8^2

But, if the people is ordered, the two persons with type O blood can be:

first and second

first and third

first and fourth.

second and third

second and fourth

third and fourth.

6 different combinations, then the actual probability for this case will be:

P = 6*p = 6*(0.2^2*0.8^2) = 0.1536

8 0
3 years ago
Kate's father is 32 years older than Kate is. In 5 years, he will be five times older. How old is Kate?
kondor19780726 [428]

Kate is 3 years old

Explanation:

Kate is x for example, then her father would be

x+32

In five years he would be x+32+5, x+37, but he would also be 5 times older.

Kate will also be x+5.

SO, we know that

x+37=5 · (x+5)

When we simplify, we get

x+37 = 5x+25

Simplify further, you get

12=4x, so

3=x

Kate is 3 years old currently

4 0
3 years ago
Read 2 more answers
Your test scores in one class are 82 and 86. What possible scores can you earn on your next test to have a test average between
Anastaziya [24]

Answer:

84 ≤ x ≤ 99   (you need between 84 and 99 points to have an average score between 84 and 89.  

Step-by-step explanation:

 

You want your average score to be between 84 and 89. The average score will come from the first two tests, and from the third test, which you don't know the score of yet,  we write this into an inequality like this...

Step 1:  Set up an inequality using the given information

84 ≤  (82 + 86 + x)/3 ≤ 89          the middle term represents the average score

Step 2:  Solve the inequality...

252 ≤ 82 + 86 + x ≤ 267         (multiply all 3 terms by 3 to get rid of the fraction)

   252 ≤ 168 + x ≤ 267          (simplify the middle term, 82 + 86 = 168)

         84 ≤ x ≤ 99              (subtract 168 from all 3 sides to isolate x)

                                            (252 - 168 = 84, 267 - 168 = 99)

So you need a score between 84 and 99 on the third test to have an average score between 84 and 89 on all three tests

8 0
3 years ago
Read 2 more answers
Bianca drove at 60 miles per hour for 1 1/2 hours. Collin drove 150 miles in 2 1/2 hours and Dale drove 105 miles in 1 3/4 hours
kari74 [83]
C. Bianca had the fastest average rate of speed
6 0
3 years ago
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