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2 years ago

Dodi drove across Canada and into the Yukon last summer. They travelled altogether 11760 kilometers over 42 days.

Mathematics

1 answer:

Rainbow [258]2 years ago

4 0

Answer:

280

Step-by-step explanation:

divide 11760 by 42 and you get 280 which shows they traveled 280 kilometers in 1 day

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PLZ help picture included

cupoosta [38]

Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

$s=\frac{d}{t}$

The distance is equal to multiply the speed by the time

$d=st$

we know that

$18\ min=\frac{18}{60}\ hours$

The distance to his friend's house and the distance of return is the same

$10x=4(x+\frac{18}{60})$

solve for x

$10x=4x+\frac{18}{15}$

subtract 4x both sides

$10x-4x=\frac{18}{15}$

$6x=\frac{18}{15}$

$x=\frac{1}{5}\ hours$

The total distance of the round trip is

$y=10x+4x+\frac{18}{15}$

substitute the value of x

$y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}$

$y=2+2=4\ miles$

6 0

3 years ago

On a trip, a car traveled 80 miles in an hour and a half, then was stopped in traffic for 30 minutes, then traveled 100 miles du

Wewaii [24]

Answer:

45 mph

Step-by-step explanation:

6 0

2 years ago

Jose has eight black marbles, fourteen clear marbles, and twelve blue marbles in a bag. If he picks one at random, what is the p

tatyana61 [14]

14/34 is the fraction probability of picking a clear marble

4 0

3 years ago

Find the inverse function of f informally. f(x) = 6x

yaroslaw [1]

$f^-^1(x) = \frac{x}{6}$

8 0

3 years ago

A university warehouse has received a shipment of 25 printers, of which 10 are laser printers and 15 are inkjet models. If 6 of

Tanya [424]

Answer:

The probability is 0.31

Step-by-step explanation:

To find the probability, we will consider the following approach. Given a particular outcome, and considering that each outcome is equally likely, we can calculate the probability by simply counting the number of ways we get the desired outcome and divide it by the total number of outcomes.

In this case, the event of interest is choosing 3 laser printers and 3 inkjets. At first, we have a total of 25 printers and we will be choosing 6 printers at random. The total number of ways in which we can choose 6 elements out of 25 is $\binom{25}{6}$ , where $\binom{n}{k} = \frac{n!}{(n-k)!k!}$ . We have that $\binom{25}{6} = 177100$

Now, we will calculate the number of ways to which we obtain the desired event. We will be choosing 3 laser printers and 3 inkjets. So the total number of ways this can happen is the multiplication of the number of ways we can choose 3 printers out of 10 (for the laser printers) times the number of ways of choosing 3 printers out of 15 (for the inkjets). So, in this case, the event can be obtained in $\binom{10}{3}\cdot \binom{15}{3} = 54600$

So the probability of having 3 laser printers and 3 inkjets is given by

$\frac{54600}{177100} = \frac{78}{253} = 0.31$

4 0

3 years ago