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topjm [15]
3 years ago
13

Two trains travel a 160 km track each day. The express travels 10 km h^-1 faster and take 30 minutes less time than the normal t

rain. Find the speed of the express.

Mathematics
1 answer:
aniked [119]3 years ago
4 0
Let s = the speed of the slower train in km/hrs+10 = the speed of the faster train in km/hrLet t = time in hrs for the slower train to go 160 kmt-5 = time in hrs for faster train to go 160 km---------------Slower train:(1)
160=s.t

Faster train:(2) 160=(s+10) .(t-.5)From (1)(1) t=160/s
use the relations given in following screenshot and then use quadratic equation.

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A contractor is building a pool labeled ABCD on the plans. If AC = 5y + 6 and BD = 8y-3, what value of y ensures the pool is a r
KIM [24]

The value of y that ensures the pool is a rectangle is 3. Option D

<h3>How to determine the value</h3>

The formula for perimeter of a rectangle is expressed as;

Perimeter = 2 ( length + width)

It is important to note that parallel sides of a rectangle are congruent, that is, they are equal.

Given the sides as;

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5y + 6 = 8y -3

collect like terms

5y - 8y = -3 - 6

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Make 'y' the subject

y = 3

Thus, the value of y that ensures the pool is a rectangle is 3. Option D

Learn more about rectangles here:

brainly.com/question/25292087

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3 0
2 years ago
A grassy space is 6ft by 8 ft. The town wants to add a walking track around this space. If the total area is to be 71 square fee
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Step-by-step explanation:

6ft*8ft=48ft

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I NEED HELP PLEASE!!!!<br><br>Which function represents the sequence in the table? <br>​
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