Julio is paid 1.3 times his normal hourly rate for each hour he works over 28 hours in a week. Last week he worked 34 hours and earned $497.62. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable. The earnings equation is $497.62 = Julio's hourly rate is $ per hour. This is reasonable because working 34 hours at a rate of $14 per hour is 34. 14 = 34(10 + 4) = 340 + 136 = , and $ is close to $497.62. ​

Write an expression that has three terms and simplifies to 4x - 7. identify the coefficient(s) and constant(s) in your expression

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.