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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...

Answered by Konstantin N. • Maths tutor

3499 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

Answered by Benjamin C. • Maths tutor

2889 Views

a boat is in a still lake with its anchor up in the boat, it then drops its anchor till it hits the bottom of the lake. Is the water level highest a) when the anchor is in the water. b) when the anchor is in the boat. c) it makes no difference.

b) when the anchor is in the lake it displaces the amount of water equivallent to the volume of the anchor, when the anchor is in the boat it displaces the amount of water equivallent to the anchors mass....

Answered by Benjamin C. • PAT tutor

1513 Views

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)

Answered by Benjamin C. • Maths tutor

4927 Views

A speaker emits a sound wave through a metallic block, with a speed of 0.42 km/s, and a frequency of 16kHz. Calculate the wavelength to 3.s.f. Describe the characteristics of a longitudinal wave.

Firstly the values should be converted into more comfortable units. 0.42km/s = 420m/s, and 16kHz = 16,000Hz. Next, use the equation wavelength = speed/frequency This gives wavelength = 420m/s over 16,000/...

Answered by Joseph B. • Physics tutor

3721 Views