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Maths
GCSE

A rectangle has length 3x+6 and width 2x-5. The perimeter of the rectangle is 22cm. What is the value of x?

The perimeter of the rectangle can be found using 3x+6+3x+6+2x-5+2x-5=10x+2We know from the question the perimeter equals 22cm.10x+2=22We can subtract 2 from both sides10x=20Divide through by 10 and we ge...

GP
Answered by Georgina P. Maths tutor
3098 Views

Salika travels to school by train every day. The probability that her train will be late on any day is 0.3. If salika is late on 4 consecutive days she gets a detention. what is the probability she will get a detention during a week?

we would draw a tree diagram to show this.
4 consecutive days means everyday except friday, or everyday except monday.
this would be 2(0.3x0.3x0.3x0.3x0.7)

EC
Answered by Emma C. Maths tutor
3815 Views

Solve the simultaneous equation: 2x +y =18; x-y=6. (3)

  1. Turn x-y=6 into y=6+x.2) Insert y=6+x into 2x+y=18; get 2x+6+x=183) Turn the latter equation into 3x=18- 6=124) Divide 12 by 3 to get x=45) Insert x=4 into y=6+x into y=106) Conclude with x=4 and y=...
JB
Answered by Joshua B. Maths tutor
2699 Views

(i) Find the gradient of the straight line passing through the points: (0,3) and (9,21). (ii) Write down the equation of the line in form y = mx + c

(i) To find the gradient of a straight light, we take any two (different) points on the straight line and compute the change in Y divided by the change in X. So here this is; (21-3)/(9-0) = 18/9 = 2. So t...

CG
Answered by Charlie G. Maths tutor
4570 Views

Solve the simultaneous equations; 2x + y = 18; x + 3y = 19.

Start by selecting a variable to eliminate from the equations. --> Select x in this case.Take the second equation and multiply by 2. --> 2x + 6y = 38Subtract the first equation from this answer. --&...

MA
Answered by Mark A. Maths tutor
3481 Views

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