Solve: 4(x - 2) = 3x + 5. Which value of x satisfies the equation?

A rectangle has length equal to three times its width. If the perimeter is 360 meters, find the rectangle's width and length.

Solve the system where x + y = 50 and x = 2y - 5 by synthesizing the relations into one equation. Provide exact values for x and y.

Using the formula A = lw for rectangle area, find the area when l = 7.5 m and w = 4 m by following identify, substitute, and solve steps.

Given the formula Q = mcΔT, where Q is heat, m is mass, c is specific heat, and ΔT is change in temperature, solve symbolically for ΔT.

Solve for x: 3(2x − 4) + 5 = 2(x + 1) + 14.

Which of the following correctly expresses the decimal $0.03$ as both a percentage and a fraction in simplest form?

$14$ is $2.8\%$ of what number?

If $\$540$ in simple interest is earned over $6$ years at an annual rate of $6\%$, what was the principal amount borrowed?

Which algebraic translation correctly represents: "There are eight more nickels than dimes," if d represents the number of dimes and n represents the number of nickels?

A chemist needs to create 14 liters of a 50% acidic solution. They have two different acidic solutions available to use each with percentages of 40% and 70% respectively. If $x$ represents the number of liters for the 40% solution, how many liters of each solution should they mix together in order to achieve their desired acidic solution?

A contractor must cover a floor with 60 tiles. Type A tile covers 2.5 sq ft and Type B covers 3.5 sq ft. The total covered area must be 180 sq ft. Let x = number of Type A tiles. Set up and solve the system to find x and the number of Type B tiles.