Questions in mathematics

Questions in mathematics

[Terjawab] The square is divided into 3 parts. Part A is [tex]\frac{1}{3}[/tex] of the area of the square. Part B is [tex]\frac{2}{5}[/tex] of the area of the square. What fraction of the area of the square is part C? Show your method.

[Terjawab] Paulo makes a sequence of numbers. He chooses a starting number and then subtracts equal amounts each time. The third number in his sequence is 45. The tenth number is -32. What is the first number in his sequence? Show your method.

[Terjawab] Three consecutive integers add to 567. Find the integers.

[Terjawab] A, B, and C stand for 3 different numbers. - The mean of A and B is 40. - The mean of B and C is 35. Calculate all their values: A, B, and C.

[Terjawab] Please, how do you solve this system of equations? \[ 18m + 5n = -11 \] \[ 12m + 11n = 31 \]

[Terjawab] \[ e^x + 3e^{-x} = 4 \] Find the exact solutions to the equation.

[Terjawab] What is the absolute value of -16?

[Terjawab] Percent and Problem Solving: Sales Tax 1. A new large TV has a purchase price of $4790. If the sales tax on this purchase is $335.30, find the sales tax rate.

[Terjawab] The volume of a rectangular solid, in cubic inches, is given by the expression \((x^3 - 7x + 6)\). If the length and width, in inches, are given by the expressions \((x - 2)\) and \((x + 3)\) respectively, find an expression in \(x\) which describes the height.

[Terjawab] What is \(\frac{2}{5}\) divided by \(\frac{3}{5}\)?