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timofeeve [1]
3 years ago
13

David travels from Building A to Building B. He can either cycle

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

43 minutes

Step-by-step explanation:

  • <em>Let cycling speed be x and driving speed be y</em>

<u>Equations as per given, considering same distance in both cases:</u>

  • 19x + 8y = 13x + 10y
  • 19x - 13x = 10y - 8y
  • 6x = 2y
  • 3x = y

We see that driving speed is 3 times greater than cycling speed

Then 8 minutes driving = 8*3= 24 minutes of cycling, or 10 minutes of driving = 10*3= 30 minutes of cycling:

  • 19 + 24 = 43 minutes or
  • 13 + 10*3 = 43 minutes is the time to cycle between A and B
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Answer:

B. 80 cm of chain weighs 2 kg.

Step-by-step explanation:

In order to choose the correct answer, we need to define the comparative relation between the length and weight of the chain. We will do this by performing the simple operation of division.

It is easier to divide the larger number by the smaller and that is what we will show here (although <em>you can do as you wish and still get the same result</em> - it's math!):

320 ÷ 8 = 40

The result we got is 40. This means that <u>the length of the chain is equal to the value of forty of its weights!</u> And this will be the operation we will perform in order to determine the right answer:

A) Does 2 (kg) multiplied by 40 equal 40 (cm)? No, therefore, it is incorrect.

B) Does 2 (kg) multiplied by 40 equal 80 (cm)? <u>Yes, this answer is correct!</u>

Just in case, we will perform this action with the rest of the possible choices:

C) 4 kg × 40 = 160 and NOT 80 cm.

D) 2 kg × 40 = 80 and NOT 160 cm.

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slamgirl [31]

Answer:  The correct option is (D) 36.

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MO = 28 units, OL= 14 units, Pl = 18 units and MP = y = ?

From the figure, we have

if OP ║ LN, then we must have

∠MOP = ∠MLN

and

∠MPO = ∠MNL.

Since ∠M is common to both the triangles MOP and MLN, so by AAA postulate, we get

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We know that the corresponding sides of two similar triangles are proportional, so

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(D) is the correct option.

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