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Solve the following simultaneous equations: x^2 + y^2 = 29 and y - x =3

This question is slightly trickier than normal simultaneous equations, because we have values to the power of 2. What we can do is make either y or x the subject of the 2nd equation (y-x = 3). For this ex...

Answered by Trushna D. • Maths tutor

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There are 48 girls in a large cheerleading squad. The ratio of girls to boys in this squad is 8:3. How many boys are in the squad?

There are (48/8)*3=18 boys. Since the ratio of boys to girls is 8:3 you divide the number of girls by 8 which gives 6 and then multiply by 3 to give the number of boys.

Answered by George H. • Maths tutor

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In a group of 120 people, 85 have black hair, 78 have brown eyes and 20 have neither black hair nor brown eyes. Find the probability of a random person being picked having black hair, given they have brown eyes

We are told that the person already has brown eyes, and this includes 78 people.We are asked to find the probability of them also having black hair.This means the person has to have brown eyes and black h...

Answered by Daniel C. • Maths tutor

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Solve the following simultaneous equations: x^2 + 2y = 9, y = x + 3

When solving simultaneous equations, there are two methods: substitution and elimination. For this question, as one of the equations is a quadratic, the substitution method has to be used. The second equa...

Answered by Chloe L. • Maths tutor

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