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Work out 1 1/5 ÷ 3/4. Give your answer as a mixed number in it's simplest form

First we get rid of the first mixed fraction by making it top heavy:1=5/5, therefore 1 1/5= 6/5Then we flip the second fraction to get its reciprocal: 4/3Now we change the sign to multipl...

Answered by Michael C. Maths tutor
7827 Views

Solve 5 < x² + 1 < 10

We can take 1 away from all elements to obtain 4 < x² < 9. Now, it's important to notice that when we square a negative, it gives us a positive, so when we take a square root to get 2 < x < 3 ...

Answered by Mateusz O. Maths tutor
2038 Views

Solve the complex equation z^3 + 32 + 32i(sqrt(3)) = 0

First thing to observe here, is that this equation is somewhat different to what you would find normally. This is a complex equation. How can you tell? The third term, ie 32i(sqrt(3)) contains the symbol ...

Answered by Savvas P. Maths tutor
5478 Views

Solve x^2 - 7x > -6

We want to find the values of x for which this inequality is 0. Let's first fine the values of x for which x2- 7x = -6.Rearranging, x2 - 7x + 6 = 0. Now we're looking for the values ...

Answered by Lucas G. Maths tutor
3128 Views

There are m fruits in a basket. 3 of the fruits are kiwis; the rest are lemons. The probability of picking two kiwis in a row (without replacement) is 0.3. Show m^2 - m - 20 = 0.

Number of lemons = m - 3. Construct a tree diagram using the information given to represent picking two fruits out of the basket (without replacement) one after the other. Since picking each fruit is an i...

Answered by Heather W. Maths tutor
2095 Views

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