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What fractions are equivalent to 1/4?

3/12, 2/8. To identify fractions which are equivalent to one another, you need to identify the common multiple of both the denominator and numerator and then simplify. When a fraction is equivalent to one an...
KN
Answered by Konstantin N. • Maths tutor
4540 Views

Solve algebraically: 6a + b = 16 ..... 5a - 2b = 19

first equation: 6a + b = 16 second equation: 5a - 2b = 19 from 2 times first equation + second equation 17a = 51 meaning a = 3 .... from the first equation 6(3) + b = 16 therefore b = - 2
BC
Answered by Benjamin C. • Maths tutor
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The number of bacteria present in a culture at time t hours is modeled by the continuous variable N and the relationship N = 2000e^kt, where k is a constant. Given that when t = 3, N = 18 000, find (a) the value of k to 3 significant figures

putting in the conditions: 18000 = 2000e^3k .. ln(9) = 3k .. k=(1/3)ln(9)
BC
Answered by Benjamin C. • Maths tutor
5536 Views

A circle has the equation x^2 + y^2 - 4x + 10y - 115 = 0. Express the equation in the form (x - a)^2 + (y - b)^2 = k, and find the centre and radius of the circle.

Rearrange the equation so that the x terms and y terms bracketed together, like so: (x^2 - 4x) + (y^2 + 10y) - 115 = 0. Complete the square on both sets of brackets, giving (x - 2)^2 - 4 + (y + 5)^2 - 25 - 1...
JB
Answered by Joseph B. • Maths tutor
4420 Views

Express 160 as a product of its prime factors

Divide 160 by 2 as many times as you can to get 80x2, 40x2x2, 20x2x2x2, 10x2x2x2x2, 5x2x2x2x2x2. Then re-write your answer so that it is 5x2^5. If you're struggling to divide by 2 and keep track of how many ...
RK
Answered by Rachel K. • Maths tutor
41563 Views