Questions in mathematics

Questions in mathematics

[Jawaban] Marcie wants to enclose her yard with a fence. Her yard is in the shape of a triangle attached to a rectangle. The area of this figure can be found by the formula: \[ A = (wh) + 0.5(bh) \] If Marcie wants the total area to be larger than a specified value, she can use the formula: \[ A > (wh) + 0.5(bh) \] Rewrite this formula to solve for \( b \). Show all steps in your work.

[Jawaban] Find the perimeter of a rectangle with the lengths -3x + 4 and 2x + 7.

[Jawaban] The sum of two consecutive odd integers is 284. Write an equation and solve to find the two integers. --- Equation: Let the first odd integer be \( x \). Then the next consecutive odd integer is \( x + 2 \). \[ x + (x + 2) = 284 \] Solve for \( x \): \[ 2x + 2 = 284 \] \[ 2x = 282 \] \[ x = 141 \] So, the two consecutive odd integers are \( 141 \) and \( 143 \).

[Jawaban] What are three different quotients that equal \(4^{-5}\)?

[Jawaban] Please answer question 14

[Jawaban] All I need is help starting it, and I should be able to get the rest. Number 3

[Jawaban] The speed of a racing boat changes from 0 ft/s to 264 ft/s in six seconds. What is the acceleration of the boat in ft/s²? Use the acceleration formula: \[ a = \frac{{\Delta v}}{{\Delta t}} \] where \(\Delta v\) is the change in velocity and \(\Delta t\) is the change in time.

[Jawaban] Solve for \( w \): \[ c = a \left( \frac{w}{150} \right) \]

[Jawaban] How do you solve the equation [tex]2x(x+3) = (x+1)(2x-5)[/tex]?

[Jawaban] A local college recently reported that enrollment increased to 108% of last year's enrollment. If enrollment last year was 17,113, about how many students were enrolled this year? Round to the nearest whole number.