NEED HELP DUE TODAY SEPTEMBER 5, 2021 AT 11:59 PM Write and solve an equation for each situation.

1) Alan wants to join a gym. Gym A charges a $195 initial fee plus $35 per month. Gym B charges $85 initial fee plus $45 per month. After how many months will the total amount be the same for both gyms? What would the amount be?

2) Melissa earns $387 per week plus $15 for each new subscriber she signs up. How many subscribers did she sign up if she earned $507 last week?

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.

Haquira is baking cookies to put in packages for a fundraiser. shaquira has made 8686 86 chocolate chip cookies and 4242 42 sugar cookies. shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies. what is the greatest number of identical packages that shaquira can make?

Miranda drove her car 112 miles on a 4 gallons of gas and 182 miles on 6.5 gallons. how many gallons would she need to drive 420 miles?