Questions in mathematics

Questions in mathematics

[Done] Round the following numbers to 2 decimal places: - 0.273 - 1.595 - 6.473 - 2.571 - 0.425 - 44.5564 - 82.3643 - 325.1741

[Done] Solve the equation: 3(g - 7) = 2(10 + g)

[Done] What is [tex]\frac{7}{10} - \frac{1}{4}[/tex] (fraction)?

[Done] The sum of a number and 3 times the same number is 100. What is the number? Equation: Solution:

[Done] Evaluate the following expression: \[ 7.0 \times 10^4 + 6.0 \times 10^3 \] A) \( 13 \times 10^7 \) B) \( 42 \times 10^7 \) C) \( 67 \times 10^3 \) D) \( 76 \times 10^3 \)

[Done] Use the quadratic formula to solve \(2y^2 - 5y = -2\). Possible solutions: A. \(\{-\frac{1}{2}, 2\}\) B. \(\{-\frac{1}{2}, -2\}\) C. \(\{\frac{1}{2}, 2\}\) D. \(\{\frac{1}{2}, -2\}\)

[Done] A company is planning to make a new kind of radio. The cost to produce \(x\) radios is \(C(x) = 80,000 + 10x\). Meanwhile, the revenue earned by selling \(x\) radios is given by \(R(x) = 18x\). If \(R < C\), the company loses money. At what level of production does this happen?

[Done] What is 0.09 rounded to the nearest whole number?

[Done] Solve for \( x \). \[ -3x + 8y = 5 \] \[ 6x - 2y = 10 \]

[Done] Multiply the following expressions: 1. [tex](2x^3y^3)(5x^2y^8)[/tex] 2. [tex]9b^3(8b^4)(-b)[/tex] 3. [tex]3y^2(y^2 - 2y + 3)[/tex] 4. [tex](x + 3)(x - 2)[/tex]