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If a student wishes to have a ratio of 2:7 red pens to yellow pens in their pencil case: a) if they have 50 pens total what is the maximum amount they can carry with them b) if they have 18 red and 31 yellow what is the maximum amount they can carry

a) 50 pens total. 2 + 7 = 9. Number of pens is done in 9s. 50/9 = 5r5, so multiple of 5. Then 2 5 + 7 5 pens. 10 red and 35 yellow, 45 pens b) 18 red / 2 = [9]r0 31 yellow / 7 = [4]r3 So could have 9 sets of...
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Answered by Henry F. • Maths tutor
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Solve 9x +1> 2x +3

9x - 2x> 3-17x > 2x > 2/7
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Answered by Suruthi G. • Maths tutor
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You are told that y is proportional to x^2 and that y=75, x=5. Find a formula for y in terms of x.

You know that y is proportional to x 2 , so let y=kx 2 . You also know that y=75 and x=5. Substitute y=75 and x=5 into the equation y=kx 2 . Therefore: 75=k multiplied by 5 2 . 75=25k. 75/25=k. k=3. Put k ba...
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Answered by Anna G. • Maths tutor
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7x + 6 > 1 + 2x

In order to solve this, we need to bring all of the x values to one side, we can do this by subtracting the 2x from both sides7x + 6 - 2x > 1 + 2x - 2x5x + 6 > 1 We then need to move the values onto th...
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Answered by Mala P. • Maths tutor
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Simplify (48)^(1/2)

Simplify 48 1/2 :48 1/2 =(12 4) 1/2 =(4 3 4) 1/2 =(4) 1/2 (4) 1/2 (3) 1/2 =2 2*(3) 1/2 =4(3) 1/2
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Answered by Alex N. • Maths tutor
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