4x + y = 7 2x - 7y = 1 If(x, y) is the solution to the given system of equations, what is the value of x ?

x² - 2x – 1 = 0
The equation above has solutions $x equals n plus square root of k$ and $x equals n minus square root of k$ where n and k are positive integers. What is the value of n + k ?

An office building has a room with a square-shaped floor. The actual length of the floor is 90 times the length of the floor on a blueprint drawn to scale. The actual area of the floor is p times the area of the floor on the blueprint. What is the value of p ?

In the figure shown, BC is parallel to AD and AB =CD . What is the perimeter of quadrilateral ABCD?

A manager purchased cones for ice cream. Find a formula for the length of the radius , in terms of its volume V.

For such questions, we should know the formula of cone.

A manager purchased cones for ice cream. Find a formula for the length of the radius , in terms of its volume V.

GeneralGeneral

For such questions, we should know the formula of cone.

The function $f$ is defined by $f left parenthesis x right parenthesis equals 2 over 5 x plus 10$ For what value of x does $f left parenthesis x right parenthesis equals 30$ ?

4T - 8D = 12H
The given equation can be rewritten as
T = aD + bH , where a and b are constants. What is the value of a?

A constant is a fixed value that does not change. Symbols such as a, b, c, etc., often represent constants. These constant symbols are used in algebraic expressions and equations to represent fixed values that do not change as per the above question; a and b are constants.

4T - 8D = 12H
The given equation can be rewritten as
T = aD + bH , where a and b are constants. What is the value of a?

$9 n plus 3 equals 15 n$
What value of n satisfies the given equation?

Solve for in terms of for the given $y equals 1 third left parenthesis x minus 5 right parenthesis$

For such questions, we should know the concept of functions.

Solve for in terms of for the given $y equals 1 third left parenthesis x minus 5 right parenthesis$

GeneralGeneral

For such questions, we should know the concept of functions.

$table attributes columnalign right columnspacing 1em end attributes row cell 2 x plus 3 y equals 2 end cell row cell x minus 2 y equals 8 end cell end table$
The solution to the given system of equations is (x, y). What is the value of x?

The table shows several values of x and their corresponding values of f(x). The function f is defined by f(x) = mx + b, where and are constants. What is the value of b ?

Find the range of the function $p left parenthesis x right parenthesis equals vertical line x space plus space 2 vertical line space minus space 5$ .

For such questions, we should know the concept of function.

Find the range of the function $p left parenthesis x right parenthesis equals vertical line x space plus space 2 vertical line space minus space 5$ .

GeneralGeneral

For such questions, we should know the concept of function.

In the figure shown, line t intersects lines l and k. Which additional piece of information is sufficient to prove that lines l and k are parallel?

The table gives the typical adult weight ranges and life spans for African and Asian elephants in the wild.

Based on the table, what is the typical minimum weight of an adult African elephant in the wild, in pounds? ( 1 ton = 2000 pounds)

Line l is shown in the xy - plane, and the point with coordinates (2, c) is on line l. What is the value of c ?