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Maths
GCSE

Simplify √75

You should start off by writing two numbers under the square root sign that multiply together to give 75. One of the two numbers should be a square number. In this case (√25 x 3) would be another way of w...

Answered by Sabah M. Maths tutor
18844 Views

Given the ratio of x : y is 7 : 4 and x + y = 88. Work out the value of x – y

7x = 4yx=4y/7If we insert this into our other equation.4y/7 + y = 8811y/7 =88y = 56As we knowx =4y/7X= 4*56/7 = 32Then we can work out the answer X - Y = 32 - 56 = -24

Answered by Salih K. Maths tutor
3738 Views

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
3139 Views

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
2337 Views

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
2531 Views

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