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podryga [215]
3 years ago
6

It took the high school hockey team 5h to travel to a tournament in Thunder Bay. They travelled by bus and plane a total distanc

e of 1320km. If the bus averaged 40km/h and the plane averaged 600km/h, determine the time they spent travelling by plane.
(please explain i know the answer is 2 but how?)
Mathematics
1 answer:
mote1985 [20]3 years ago
8 0
Entire distance = 1,320
Entire time = 5 hours

bus avg = 40 km/h
plane avg = 600 km/h

Working this by trial and error
1 hour bus 4 hour plane = 40 + 2,400 = 2,800 distance (too high)
2 hour bus 3 hour plane = 80 + 1,800 = 1,880 distance (too high)
3 hour bus 2 hour plane = 120 + 1,200 = 1,320 distance (Correct!!)

So, they traveled 3 hours by bus and 2 hours by plane
(yes, you had the right answer).

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Devaughn is 12 years younger than sydney. the sum of thier ages is 50 what is syndys age?​
likoan [24]

Answer:

13

Step-by-step explanation:

50/2

25     25

13      25

+12

25      25

7 0
3 years ago
Read 2 more answers
Please help! I have to use the Pythagorean theorem for this but idk how to do that with four numbers
lana [24]

Answer:

Step-by-step explanation:

Remark

Simple answer: you can't. I mean that you can't try to use 4 numbers, but you can solve the problem. You are going to have to redraw the diagram on another sheet of paper. Follow the directions below.

Directions for diagram extension.

Go to the right hand end of the 10 unit line.

Draw a line from the intersection point of the 10 unit line and 12 unit line

Draw this line so it is perpendicular to the 18 unit line. That will mean that the new line is parallel (and equal) to x

Mark the intersect point of the new line and the 18 unit line as B

Mark the intersect point of the 18 point line and the 12 unit line as C

Given and constructed

BC = 18 - 10 = 8

BC is one leg of the Pythagorean triangle.

The new x is the other leg of the Pythagorean triangle.

12 is the hypotenuse.

Formula

x^2 + 8^2 = 12^2

x refers to the new x which is equal to the given x

Solution

x^2 + 64 = 144              Subtract  64 from both sides

x^2 +64 - 64 = 144-64  Combine

x^2 = 80                        Break 80 down.

x^2 = 4 * 4 * 5               Take the square root of both sides        

x = 4*sqrt(5)

Comment

If you want the area it is 4*sqrt(5)(10 + 18)/2 = 56*sqrt(5)

5 0
4 years ago
5 + y + 8 = ? when y = 4
marishachu [46]
Easy 5+4=9+8=17 your answer is 17 :)
5 0
4 years ago
Read 2 more answers
The ratio of a quarterback’s completed passes to attempted passes in 2:5. If he attempted 20 passes he completed. Round to the n
puteri [66]
If he attempted 45 passes, find how many passes he completed. Round to the nearest whole number of necessary.
8 0
3 years ago
The average daily volume of a computer stock in 2011 was million​ shares, according to a reliable source. A stock analyst believ
igomit [66]

Complete question :

The average daily volume of a computer stock in 2011 was p = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of 40 trading days in 2014, he finds the sample mean to be 30.9 million shares, with a standard deviation of s = 11.8 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below. State the hypotheses for the test. Construct a 95% confidence interval about the sample mean of stocks traded in 2014.

Answer:

H0 : μ = 35.1 ;

H1 : μ < 35.1 ;

(26.488 ; 35.312)

Step-by-step explanation:

The hypothesis :

H0 : μ = 35.1

H1 : μ < 35.1

The confidence interval :

Xbar ± Margin of error

Xbar = 30.9

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

Margin of Error = 1.96 * (11.8/sqrt(40))

Margin of Error = 4.412

Lower boundary :

30.9 - 4.412 = 26.488

Upper boundary :

30.9 + 4.412 = 35.312

Confidence interval = (26.488 ; 35.312)

Since the population mean value exists within the interval, the we fail to reject the Null.

5 0
3 years ago
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