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valkas [14]
4 years ago
8

. A boat traveled 300 miles in 15 hours. What rate did the boat travel in miles per hour?

Mathematics
1 answer:
Gala2k [10]4 years ago
8 0

Answer:

20

Step-by-step explanation:

divide 300 by 15 and there's your answer

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Multiply and reduce to lowest form and convert into a mixed fraction:
Katyanochek1 [597]

Answer:

a) 9

b)

1  \frac{1}{3}

c) 15

Step-by-step explanation:

The first step is to cancel out the fraction's denominator if possible.

a)

15 \times \frac{3}{5}

We can cancel the 5 out since 15 divided by 5 is 3. The answer that comes out is

3 \times  \frac{3}{1}

Since 3/1 is 3, we can now simplify the values:

3 \times 3 = 9

b)

4 \times  \frac{1}{3}

4 is indivisible by three and gives a non-whole value. This is not what we need here.

Instead we should do the division rule and find the remainder.

In this case, 4 divided by 3 gives 1 with a remainder of 1.

4 \times  \frac{1}{3}  =  \frac{4}{3}

After we simplify the non-mixed fraction, we have to change it into a mixed fraction, which consists of a whole number and a fraction. We can split it into the following:

\frac{4}{3}  = 1r1

The r1 is just the remainder of the fraction. Since we cannot remove 1 from the remainder, we add it back into the fraction's denominator of 3. This gives:

\frac{4}{3}  = 1 +  \frac{1}{3}  = 1 \frac{1}{3}

c)

\frac{5}{2}  \times 6

For this part, we can cancel out 2 since 6 is divisible by 2. This gives:

\frac{5}{1}  \times 3

Since 5/1 is 5,

we can now solve part c:

5 \times 3 = 15

3 0
3 years ago
According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exa
VMariaS [17]

The probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.

<h2>Given</h2>

Number of voters who support ballot initiative = 30 % = 0.30

Number of voters who does not support this initiative = 1 - 0.30 = 0.70

Number of voters selected for Surveying = 5

<h3>What is probability?</h3>

The probability of success and failure remain the same throughout the trials.

The probability that exactly 2 voters will be in favor of the ballot initiative is given by;

If P denotes Success and Q denotes failure;

\rm = ^{5}C_2 \times (0.3)^2 \times (0.70)^3\\\\= 10 \times 0.09 \times 0.343\\\\= 0.309

Hence, the probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.

To know more about Probability click the link given below.

brainly.com/question/20344726

3 0
3 years ago
Find the area of a parallelogram with vertices at P(–8, –3), Q (–7, 3), R(–9, 3), and S(–10, –3).
pentagon [3]
Check the picture below.

you can pretty much get the base and height right off the grid.

7 0
3 years ago
Write each fraction or mixed number as a decimal. 3 1/5=?
kompoz [17]
The answer is 15 or 3 I think but I'm not sure
5 0
4 years ago
Is the function linear or nonlinear?
Fiesta28 [93]

yes, it is since none of the x's are repeated as with the y's
6 0
3 years ago
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