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balandron [24]
3 years ago
13

An Airplane travels about 1500km in a straight line between Toronto and Winnipeg . However, the plane must climb to 10 000 m dur

ing the first 200km. Then it must descend 10 000 m during the final 300km 1. How much Distance do the climb and desent add to the flight?
Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0
 it adds 227km more to the flight
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2 1/3 + 3/7 divided by 2 1/3 x 1 3/7​
oee [108]

Answer: \frac{29}{35}

Step-by-step explanation:

1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with

2\frac{7}{21}+\frac{9}{21} / 2\frac{7}{21} * 1\frac{9}{21}

2. Now, I would go and solve each side of the equation because we divide them, we can add 2\frac{7}{21} and \frac{9}{21}  together to get  2\frac{16}{21}, because 7 + 9 = 16

2\frac{16}{21} / 2\frac{7}{21} * 1\frac{9}{21}

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2\frac{7}{21} becomes \frac{49}{21} and 1\frac{9}{21} becomes \frac{30}{21}

\frac{49}{21} *  \frac{30}{21}

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us  \frac{7}{3} and the second one by 3, which gives us  \frac{10}{7}

\frac{7}{3} * \frac{10}{7} now we cross divide, where we replace the 7's with ones because they're right across from each other to get  \frac{1}{3} and  \frac{10}{1}, or just 10.

\frac{1}{3} * 10 =  \frac{10}{3}

4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

\frac{58}{21} / \frac{10}{3}

Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.

so   \frac{58}{21} * \frac{3}{10} which if we multiply both sides, you get \frac{174}{210}

I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get

\frac{29}{35}

4 0
3 years ago
A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second . How fast was it going ?
Aleks04 [339]

Answer:

30m/sec

Step-by-step explanation:

v=s/t

given s= 10m

t=1/3 sec

v= 10/(1/3)=10×3/1= 30 m/s

8 0
4 years ago
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What value does the 1 in the number 4,105.8
kirill115 [55]

Answer:

hundreds

Step-by-step explanation:

4 0
3 years ago
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What is the value of x in the <br> triangle?
Makovka662 [10]

Answer:

x = 75°

Step-by-step explanation:

Sum of angles in a triangle: 180°

So,

50°+55°+x=180°

105°+ x = 180°

Subtract 105° from both sides

x = 75°

8 0
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Use the slope formula (m =
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For (7,2) and (0,5)

slope = 5-3/-7 = -2/7

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