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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: 4/3 Now we change the sign to multiply rather than divid...
MC
Answered by Michael C. Maths tutor
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Solve 5 < x² + 1 < 10

We can take 1 away from all elements to obtain 4 &lt; x² &lt; 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 &lt; x &lt; 3 we ...
MO
Answered by Mateusz O. Maths tutor
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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 x 2 - 7x = -6.Rearranging, x 2 - 7x + 6 = 0. Now we're looking for the values of x for which x 2 - 7...
LG
Answered by Lucas G. Maths tutor
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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 inde...
HW
Answered by Heather W. Maths tutor
3116 Views

What is (18)^1/2 -(8)^1/2 simplified?

In order to answer this we will break down the two surds into their factors. So we know that 18 is 2 multiplied by 9 and so (18)^1/2=(9 2)^1/2 which cane be broken down into (9)^1/2 (2)^1/2 .We know that (9)...
HM
Answered by Hannah M. Maths tutor
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