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What is 7 to the power of 8? (

Rearrange to (7⁴)²= ((7²)²)²7²= 49(7²)² = 49² = (50-1)² = 50² - 2x50 + 1 = 24017<...

Answered by Michael H. • Maths tutor

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The numbers a, b, c and d satisfy the following equations: a + b + 3c + 4d = k; 5a = 3b = 2c = d. What is the smallest value for k for which a, b, c and d are all positive integers

5a = 3b = 2c = d. d must be a multiple of 5, 3 and 2, therefore the smallest possible value for d is 30. This sets a = 6, b = 10 and c = 152) a + b + 3c + 4d = 6 + 10 + 3x15 + 4x30 = 181 k = 181
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Answered by Michael H. • Maths tutor
4018 Views

A class of pupils were asked about how they travelled to school on a particular day. 1/6 of the pupils were driven to school in a car. 2/5 of the pupils took the bus. The rest of the pupils walked to school. Calculate the fraction of pupils who walk

The total amount of student would be represented by 1 or 100%. The pupils are split into three categories meaning the total must add up to 1. Therefore to find the remaining pupils who walked to school we...

Answered by Jane Z. • Maths tutor

5642 Views

Write 120 as a product of its prime factor

What are Prime Numbers?
Prime numbers by definition are numbers that cannot be divided by any other number but itself and 1. For e.g. 2 is a prime as it can only be divided by 2 and ...

Answered by Kai P. • Maths tutor

24476 Views

How can I remember when a turning point of a function is a maximum or a minimum?

The key is to look at the first and second derivatives of that function. Remember that a turning point always has the first derivative equal to zero. Then, the sign of the second derivative indicates if t...

Answered by Titus D. • Maths tutor

6560 Views