The table below shows the different times it takes Paula to drive to work each day depending on the rate at which she drives.

Rate vsTime
Rate (mph)
30
40
50
60
Time (h)
2.5
1.875
1.5
1.25

If one day Paula rides a scooter to work at a constant rate of 24 miles per hour, how long should it take her?

What is the perimeter of an equilateral triangle if each side is (x+3)?

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.

The first and second steps to solve the equation 3x/5 + 5 = 20.are shown below 3x/5 + 5 - 5 = 20 - 5 3x/5 (5/3) = 15 (5/3)a. addition property of equality b. subtraction property of equalityc. multiplication property of equalityd. division property of equality