Write an equation as part of solving the problem. The university employees a total of $480 teaching assistant and research assistance. There are three times as many teaching assistance as research assistances. Find the number of research assistance employed by the University

Q: Solve the equation.

A: Given: 5x2=2x-3 For finding solution of given equation, we do transportation then by using quadratic…

Q: Mary invests $100,000 in two certificates of deposits. One pays 6% and the other pays 412% simple…

A: Given: Total money Mary have invest= $100,000

Q: set up an equation and solve each problem. The total surface area of a right circular cylinder is…

A: The total surface area of a right circular cylinder is 32π square inches. The altitude of the…

Q: Solve the equation: 9x4- 10x2 + 1=0

A:

Q: Write an equation and solve. Fourteen more than 4 times a number is 38.

A: Let's 'n' be the number we are looking for  Firstly, "four times a number" can be written as:  4 n…

Q: The cost for four archery lessons is $84 and the cost for 8 lessons is $160. Write and solve an…

A: see below the answer and explanation

Q: The width of the rectangle is half of its length. If the perimeter of the rectangle is 60 cm. Write…

A:

Q: Solve the linear equation: 2x + 5 < 17.

A: The given inequality is 2x + 5 < 17. By subtracting 5 from both sides, 2x + 5 - 5 < 17 - 5 By…

Q: Solve the equation. x²+15x = -54 The solutions to the equation are and

A: Given Data: Given Equation: x2+15x=-54 First, factorize the simplified form of the given equation.

Q: Solve the equation. 20 +  |2x - 4| = 15

A:

Q: set up an equation and solve each problem. The perimeter of a rectangle is 41 inches, and its area…

A: The perimeter of a rectangle is 41 inches, and its area is 91 square inches

Q: Solve the equation. x2+55x =-54 %3D

A:

Q: Green Grass, Inc. charges an initial fee of $15 plus $10 per hour for lawn services. Their main…

A:

Q: Solve the equation 4x - 9 = 0.

A: Given equation:                             4x2-9=0

Q: 4x2 – 2x+ 5=0

A:

Q: -2xt5

A:

Q: Mentally solve the equation. (2/3)x = 9/2

A: Given equation, 23x=92

Q: Solve the equation by completing the square.Write your answer as a solution set. 4x^2-2x+5=0

A:

Q: A contractor needs 54 square feet of brick to construct a rectangular walkway. The length of the…

A: Given : A contractor needs 54 square feet of brick to construct a rectangular walkway. The length of…

Q: You have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per…

A: According to question

Q: Solve the equation 8e2x = 20.

A: Divide both the sides of the equation by 8 and then take natural logarithm on both the sides.…

Q: Solve the equation 2x2 + 5x + 2 = 0.

A: To solve the equation: 2x2+5x+2=0 Solution: Solving the given equation.…

Q: solve the equation 4x3+9x2+2x=0

A: Given equation can be expressed as

Q: in 2003, the population of zimbabwe was about 12.6 million people, which is 1 million more than 4…

A: Zimbabwe in 1950 is pthen as per the given information Population in 2003 = 12.6 million

Q: Solve the equation. 4x 12

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repsot other…

Q: Solve the equation

A:

Q: write an equation whose solution is the given quantity. Then, solve for the appropriate quantity.…

A: Here we use the algebra.

Q: Solve this equation. 8x3 = 64x (smallest value) x =                            x = (largest value)…

A:

Q: set up an equation, and solve the problem. It takes Meredith 7 hours to clean an office building,…

A: Meredith takes  7 hours to clean an office building, Otis can clean the same office building in 5…

Q: REFRESH: How many solutions does the following equation have? -6(x+7)=-4x-2 No solutions Exactly one…

A:

Q: 2х 740 3x-6

A: We know that, ax-b=c or, ax=c+b or, x=(c+b)/a

Q: Solve the equation. b-2=136 b%3D number

A: Given,        b ÷ 2 = 136

Q: Stanley is building a rectangular fence with 44 feet of fencing. If the width is two less than half…

A: Given:-  Stanley is building a rectangular fence with 44 feet offencingLet length of rectangle =…

Q: Solve the equation. V-5x 9 = * + 1 x = Check Answer

A:

Q: Solve the equation. -4 + √3x +5 = 3

A: Given: -4 + √3x +5 = 3…

Q: Solve the equation. 3x3 = 3x(x + 12) %3D X = (smallest value) X = X = (largest value)

A: We first subtract 3x(x+12) and then factor.

Q: set up an equation and solve each problem. The sum of the lengths of the two legs of a right…

A:

Q: 12x - 2 5x+10

A:

Q: the length of a rectangle is 5 inches more than the width. the perimeter is 9 times the width. write…

A: Consider the width is w. Since, the length of the rectangle is 5 inches more than the width then…

Q: | Solve the equation - 9. 3x 2]

A: I use inverse operations to solve this equation

Q: Solve the equation e2x+5 = 8

A: Given  The equation is e2x+5=8 .

Q: Solve the equation 7x = 21

A:

Q: Three more than h is no less than 25. Translate and solve.

A:

Q: Solve the equation x2 = 18 + 3x.

A:

Q: Tickets for a concert cost $4.00 for a balcony seat and $7.50 for a orchestra seat. If ticket sales…

A: cost of tickets for a balcony seat=$4.00cost of tickets for a orchestra seat=$7.50Total…

Q: A camera manufacturer spends $2,250 each day for overhead expenses plus $6.00 per camera for labor…

A: Given: Expense each day is $2,250 per day. Overhead expenses are %6 per camera. Selling price of the…

Q: solve the equation a-6a+10 =0.

A: Given: x2-6x+10=0 is a quadratic equation. We can find the roots of a quadratic equation by using…

Q: solve the equation. 2x2 + 13x + 15 = 0

A: Consider the equation: 2x2+13x+15=0.   Quadratic formula-The solution of quadratic equation…

Q: Solve the equation. p - 4 = -6

A: Solution :- Given p - 4 = -6 Adding 4 both sides, we get p -4 +4  = -6 + 4  p +0 = -2 p = -2

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.