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A 4 digit number is picked. It's second digit is a prime number, it must be even and it must be greater than 5000. How many possible numbers can be picked?

This involves the product rule for counting. Step 1: Identify the possible numbers for the first digit 5, 6, 7, 8 or 9 (5 in total) Step 2: Identify the possible numbers for the second digit 2, 3, 5 or 7 ...

Answered by Thomas S. • Maths tutor

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Factorise 15a^2 + ab - 6b^2

15a²+ab-6b²

=(?a+?b)(?a-?b)

factors of 15= 3 and 5

factors of 6= 2 and 3

if we try (3a+2b)(5a-3b) that gives us 15a²+10ab-9ab-6b²

Answered by Aayushi B. • Maths tutor

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A fridge of height 2m and width 0.8m is tilted in a delivery van so that one edge rests on the edge of a table and another touches the ceiling, as shown in the diagram. The total height of the inside of the van is 1.5m. Find the height of the table.

Let h be the height of the table. Let the edges of the fridge be A touching the ceiling, B touching the table and C touching the floor. Let D be the point on the ceiling vertically above B and E be the po...

Answered by Charles H. • Maths tutor

2968 Views

Solve the equation [(3x + 3)/2x] + 2x - 1 = -3

In this question we are trying to find all the possible solutions of the variable x that will satisfy the given equation. Firstly, we see there is a denominator on one of the terms so we multiply all the ...

Answered by Chris B. • Maths tutor

3189 Views