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Ulleksa [173]
3 years ago
11

A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:

Mathematics
2 answers:
Delvig [45]3 years ago
6 0

Answer:

d=0.7t

Step-by-step explanation:

I just did the question on khan academy.

Sauron [17]3 years ago
5 0

Answer:

d = 0.7*t

Step-by-step explanation:

Given data,

  Time          Distance

   10                 7

   15                10.5

   20                 14

From analysis,

1) d1/t1 = 7/10 = 0.7

2) d2/t2 = 15/20 = 0.7

3) d3/t3 = 14/20 = 0.7

It can be analysed from the figure that, at every point d/t = 0.7

Therefore, the relationship between t and d is

d = 0.7*t

or

t = d/0.7  

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In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s
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The mentioned number in the exercise is:

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Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

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  • y = tens digit
  • z = ones digit

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  2. y = 2x (the tens digit is twice the hundreds digit).
  3. x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

  • x + y + z = 11
  • (z + 1) + y + z = 11 (remember x = z + 1)
  • z + 1 + y + z = 11
  • z + z +y + 1 = 11 (we just ordered the equation)
  • 2z + y + 1 = 11 (z + z = 2z)
  • 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
  • 2z + y = 10
  • 2z + (2x) = 10 (remember y = 2x)
  • 2z + 2x = 10
  • 2z + 2(z + 1) = 10 (x = z + 1 again)
  • 2z + 2z + 2 = 10
  • 4z + 2 = 10
  • 4z = 10 - 2
  • 4z = 8
  • z = 8/4
  • <u>z = 2</u>

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

  • x = z + 1
  • x = 2 + 1
  • <u>x = 3</u>

And we'll use the second equation to obtain the value of y (the tens digit):

  • y = 2x
  • y = 2(3)
  • <u>y = 6</u>

Organizing the digits, we obtain the number:

  • Number = xyz
  • <u>Number = 362</u>

As you can see, <em><u>the obtained number is 362</u></em>.

8 0
3 years ago
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