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5 (a) Find the value of 3a + 2b when a = 16 and b = 7 - OCR - GCSE Maths - Question 5 - 2017 - Paper 1

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5 (a) Find the value of 3a + 2b when a = 16 and b = 7. (b) Use the formula v = u + at to find the final velocity, when - the initial velocity is 2 m/s - the accel... show full transcript

Worked Solution & Example Answer:5 (a) Find the value of 3a + 2b when a = 16 and b = 7 - OCR - GCSE Maths - Question 5 - 2017 - Paper 1

Step 1

Find the value of 3a + 2b when a = 16 and b = 7

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Answer

To find the value of the expression, substitute the given values for a and b:

3a+2b=3(16)+2(7)=48+14=623a + 2b = 3(16) + 2(7) = 48 + 14 = 62

Therefore, the answer is 62.

Step 2

Use the formula v = u + at to find the final velocity when the initial velocity is 2 m/s, the acceleration is 1.5 m/s², and the time is 6 seconds

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Answer

Using the formula:

v=u+atv = u + at

we can substitute the given values:

  • Initial velocity (u) = 2 m/s
  • Acceleration (a) = 1.5 m/s²
  • Time (t) = 6 s

Thus,

v=2+(1.5imes6)v=2+9=11extm/sv = 2 + (1.5 imes 6) v = 2 + 9 = 11 ext{ m/s}

So, the final velocity is 11 m/s.

Step 3

Make d the subject of this formula. c = 7d

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Answer

To make d the subject of the formula:

Starting with the equation:

c=7dc = 7d

we can isolate d by dividing both sides by 7:

d=c7d = \frac{c}{7}

Thus, d is expressed as ( d = \frac{c}{7} ).

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