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A cycle race is 3069.25 miles. Juan travels at a speed of 15.12 miles per hour. He cycles for 8 hours a day. Estimate how many days Juan will take to complete the race.

s = d/ t= 3069.25/ 15.12It is an estimated value, so you may use rounded values = 3000/ 15= 200 hours He will be travelling 8 hours every day= 200/ 8= 25 days

Answered by Harith H. • Maths tutor

13950 Views

6x-2y=33 4x+3y=9

12x-4y=66 12x+9y=27-13y=39 y=-312x+9(-3)=2712x-27=2712x=54x=4.5

Answered by Yi S. • Maths tutor

4662 Views

A linear sequence starts a + 2b, a +6b, a + 10b. The 2nd has a value of 8 and the 5th term has a value of 44. What are the values of a and b?

a + 6b = 8 5th term: a + 18b = 44
term 1: a + 6b = 8term 2: a + 18b = 44
term 2 - term 1: 12b = 36b = 36/12 = 3
a + 6b = 8a + 6(3) = 8a = 8-18 = -10

Answered by Leonie R. • Maths tutor

2882 Views

Jay, Sheila and Harry share £7200 in the ratio 1 : 2 : 5. How much does Harry receive?

We can calculate the sum of the numbers in the ratio. 1+2+5=8.Now divide £7200 by 8 to find out how much 1/8 is worth (7200/8=90)Finally multiply 90 by 5 to calculate 5/8 (the amount that Harry will recei...

Answered by Lewis T. • Maths tutor

6025 Views

For all values of x f(x) = x^2 + 2 g(x)= x - 5 show that fg(x) = x^2 -10x +27

Firstly, we have to substitute g(x) into the function f(x)So, fg(x) = (g(x))^2 +2
Next we must rewrite the equation on the RHS in terms of x only
So, fg(x) = (x-5)^2 +2
Next we must simpli...

Answered by Yasmin S. • Maths tutor

7151 Views