Solve each by setting up and solving an appropriate equation. Pat is paid time-and-a-half for each hour he works over 36 hours in a week. Last week he worked 42 hours for a total of $472.50. What is his normal hourly rate?

Q: Solve each by setting up and solving an appropriate equation. If a DVD player costs a retailer $40…

A: Given  A DVD player costs a retailer $40 and it sells for $100.

Q: 12+4, 28 . 3

A: Given : 12+4x3 = 28

Q: set up an equation and solve each problem. Find two consecutive even whole numbers whose product is…

A: Two consecutive even whole number whose product is 224

Q: Solve the formula for the specified variable.

A:

Q: Substitute the given values into the formula, and solve for the unknown variable. A =,h(B + b);…

A:

Q: Use the formula for nPr to solve:Nine bands have volunteered to perform at a benefit concert, but…

A: Given: we have given 9 bands available. out of which five-band can  play

Q: solve each equation. 0.10t + 0.12(t + 1000) = 560

A: Given equation: 0.10t+0.12t+1000=560 simplify the above equation…

Q: solve each equation. n + 3/n = 19/4

A: We have to solve the equation: n+3n=194 Rewriting the equation by taking LCM of the denominator in…

Q: solve each equation. (x + 2)/5 + (x - 1)/6 = 3/5

A: x+25 + x-16=35

Q: Solve the following equation. 2x = 55

A: To solve the given equation.

Q: solve each equation. (a + 4)/4 = 3/a

A: Given: a+44=3a

Q: solve each equation. 4a(a + 1) = 3

A: Given: 4a(a + 1) = 3

Q: John Smith charges $100 for each yard he cuts. He makes $1000 every month he cuts which is 4 times a…

A:

Q: Flo sets a goal of walking 10,000 total steps per day. Flos normal routine involves walking 4,000…

A:

Q: solve each equation. 4√x = x - 5

A: Solutions: Consider the given equation is, 4x = x-5 Squaring on both sides we have: 4x2 = x-5216x =…

Q: Roger can run one mile in 6 minutes. Jeff can run one mile in 4 minutes. If Jeff gives Roger a 1…

A:

Q: Solve each by setting up and solving an appropriate equation. Uta is driving from Florida to…

A: Consider that the Uta's speed is 65 miles, Sven's speed is 70 miles and Sven leaves half hour late…

Q: 5e3x+4 = 15

A:

Q: set up an algebraic equation and solve each problem. An inheritance of $300,000 is to be divided…

A: Let the money received by the son be $3x. Then the money received by the local heart fund is $x…

Q: solve each equation. n - 2/n = 23/5

A: To find: The value of n. Given: The equation is n-2n=235. Calculation: The value of n can be…

Q: Jack and Jill enter a 600 km scooter race. Jill drives 4 km/h faster than Jack, but her scooter gets…

A:

Q: set up an equation and solve each problem. Larry’s time to travel 156 miles is 1 hour more than…

A: Larry’s time to travel 156 miles is 1 hour more than Terrell’s time to travel 108 miles. Terrell…

Q: Solve each equation. If necessary, round each answer to the nearest thousandth e-5-2x = 5

A: Consider the provided equation, e-5-2x=5 Solve the above equation and write the answer to the…

Q: solve each equation. 0.09y = 4.5

A: The given equation is, 0.09y=4.5 We need to find the value of y by solving the given equation,

Q: Solve each equation.  0.06y + 2.63 = 2.5562

A: The given equation is a linear equation in one variable. To solve a linear equation in one variable…

Q: Solve each by setting up and solving an appropriate equation. Glenn invests $4000 at 5% annual…

A: The principle amount invested by Glenn is P=$4000 The annual interest rate is given as r=5% The time…

Q: Solve each by setting up and solving an appropriate equation. Yuri bought a pair of running shoes at…

A: 25% discount sale for $78

Q: Solve each by setting up and solving an appropriate equation. Find three consecutive integers such…

A: Let       x=smallest integerx+1=middle integerx+2=largest integer From the statement:…

Q: Solve the following equation. 2 (53x) = 31,240

A: As per Bartleby guidelines, solving only first question Given query is to solve the equation:…

Q: solve each equation. 3s/(s + 2) + 1 = 35/(2(3s + 1))

A: Given equation  3ss+2+1=352(3s+1) From the given equation LCD is 2(s+2)(3s+1) multiply each term by…

Q: Find the indicated value. * Solve for x. x+6, 12 10 エー1

A:

Q: Solve each by setting up and solving an appropriate equation. A Florida beach house rents at a 30%…

A: Given the usual weekly rental amount for month January is $3,750. To find the weekly rental for one…

Q: solve each equation. 0.5(3t + 0.7) = 20.6

A: The given equation is, 0.53t+0.7=20.6 The objective is to solve the equation for t.

Q: solve each equation. |x + 1/2| = 3/5

A: Consider the given equation x+12=35. Note that, if u=a, a>0, then u=a or u=-a. ⇒x+12=35  or…

Q: Flo sets a goal of walking 12,000 total steps per day. Flo's normal routine walking 6,000 steps per…

A:

Q: Solve each equation and check for extraneous solutions. Show work for full credit. 1) V7n = n 2) 9 =…

A:

Q: Solve each by setting up and solving an appropriate equation. A total of $500 was invested, part of…

A: The total investment is $500. Let x be the part of the amount invested at 7% interest. Let 500-x be…

Q: Solve each equation or formula for the variable specified. 26. h = at – 0.25vt², for a 27. a(y + 1)…

A:

Q: Set up an equation and solve for 'x' round answers to the nearest hundredth.

A: we have the given figure as   We have to write an equation for x   and we have to find the value of…

Q: A workman’s basic hourly wage is $10, but he receives one and a half times his hourly rate for any…

A: Given- A workman’s basic hourly wage is $10, but he receives one and a half times his hourly rate…

Q: set up an equation and solve each problem. Find two consecutive odd whole numbers whose product is…

A: To find two consecutive odd whole numbers whose product is 195. Solution: Let the two consecutive…

Q: 25 5x 25 10

A:

Q: solve each equation. 12/t + 18/(t + 8) = 9/2

A: Our Aim is to solve the equation given below:-12t+18t+8=92-(i)

Q: 10. V12x-32 = x

A: To Solve each equation and check for extraneous solutions

Q: Solve the following equation.  Round to 2 decimal places.   -4log(3x) = -15

A: First, solve for log(3x)

Q: Under her cell phone plan, Lily pays a flat cost of $55.50 per month and $4 per gigabyte. She wants…

A: Given ,  Under her cell phone plan, Lily pays a flat cost of $55.50 per month and $4 per gigabyte…

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.