A student solved the given equation and justified every step expect one. what is the missing reasons?

a salesperson's weekly paycheck is 40% more than a second salesperson's paycheck. The two paychecks total $1275. Find the amount of each check.

You open a bank account with $100 and deposit 15 every week. Create an equation to model the total amount of money, y, in dollars, you will need to save after x months. How many weeks will it take to have $250?

Jackie mowed a lawn today to earn some extra money. She spent $1.90 on fuel and $4.65 on lunch. She charged $12.50 to mow the lawn. What was her profit for mowing the lawn? A. $5.95 B. $9.75 C. $15.25 D. $19.05

What is the y-intercept of the graph of the given line by the equation 3y+4x=15? A: 5 B: 4 C: 3 D: - 4/3

If you wanted to describe an increase in volume to your class which of the following objects would be the best item to use? A) a wooden box with holes B) a rock and cup of water C) ice in a glass and a thermometer D) a soccer ball and a pump

Which of the following is the equation of a circle with a radius of 5 cm and center at (3, 6) ? (x 3) 2 + (y + 6) 2 = 10 (x 3) 2 + (y + 6) 2 = 25 (x + 3) 2 + (y 6) 2 = 25 (x + 3) 2 + (y 6) 2 = 10

A sociologist studying the difference in ages between husbands and wives obtained a random sample of 55 married couples. The mean of the husbands' ages was 38.5 years with standard deviation 12.6 years. The mean of the wives' ages was 36.

The parent function is f (x) = 2^x-6+3 and the new function is g (x) = 2^x - 3+2. How does the graph change from f (x) to g (x) ? Select each correct answer. The graph is shifted 3 units right. The graph is shifted 1 unit up.

Dennis thought of a number. He adds 0.5 to that number and then multiplies the new result by 4. He then subtracts 2 and divides the number by 2. His final answer is 48. What number did Dennis start with?

Melinda is itemizing deductions on her federal income tax return. Her AGI was $295,420 last year, and she contributed $148,160 to charity.