Question
The average marks of 35 Spanish students in a
mathematics exam is 75. If the marks of their teacher are included, the average increases by 1. Find the marks of the teacher.Solution
ATQ, Total marks of the students excluding teacher = 35 × 75 = 2625 Let the marks of the teacher be ‘m’. According to the question, (2625 + m) / (35 + 1) = 75 + 1 2625 + m = 36 × 76 2625 + m = 2736 m = 2736 – 2625 m = 111. So, the marks of the teacher are 111.
Given that x8-34x4+1=0, x>0. What is the value of (x3+ x-3)?
Simplify the expression:
3x + 5y - [(7x + 3y) - (2x + y) + 4y] - x(288 ÷ 8)² × (144 ÷ 24)³ = 24 × ? × (51840 ÷ 20)
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If a + b + c = 6, a³ + b³ + c³-3abc = 342, then what is the value of ab + bc + ca
If (8x - 3y) = 196 and 7x:4y = 35:16, then find the value of (x² + 4y²).
If (6x + y) = 180 and 5x:2y = 25:12, then find the value of (2x² + 5y²).
If x + y = 2 and 1/x + 1/y = 18/15, then find the value of (x3 + y3)?
If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 - 3(a – 4 ) (b – 2 ) (c – 3)?
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