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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 (4 ...
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Answered by Thomas S. • Maths tutor
7878 Views

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

15a 2 +ab-6b 2 =(?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 15a 2 +10ab-9ab-6b 2 = 15a 2 +ab-6b 2 therefore the answer is (3a+2b)(5a-3b)
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Answered by Aayushi B. • Maths tutor
3647 Views

Calculate the distance travelled by the ball traveling at 3m/s for 60 seconds

Speed = Distance/Time Speed = 3 Time = 60 Distance = Speed x Time Distance = 3 x 60 = 120m
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Answered by Sam G. • Physics tutor
3793 Views

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 point...
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Answered by Charles H. • Maths tutor
3680 Views

“A fear of democracy runs throughout liberalism” Discuss

Democracy is the rule of the people because authority ‘rises from below’. This means that through participation, the public give their consent for example, through elections which upholds a representative sy...
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Answered by Alice B. • Politics tutor
9160 Views