I need help with numbers 9and 10

Mathematics

1 answer:

AlekseyPX3 years ago

5 0

For monthly membership, the cost must be less than $325. We can set up an inequality:-

100 + 30x < 325 where x = number of months of membership

Solving -

30x < 325-100 = 225

x < 225 / 30

x < 7.5 months

The answer is 7 months.

You might be interested in

Some people think it is unlucky if the 13th day of a month falls on a Friday. Show that in every calendar year (non leap or leap

MakcuM [25]

We will set a variable, d, to represent the day of the week that January starts on. For instance, if it started on Monday, d + 1 would be Tuesday, d + 2 would be Wednesday, etc. up to d + 6 to represent the last day of the week (in our example, Sunday). The next week would start over at d, and the month would continue. For non-leap years:
If January starts on d, February will start 31 days later. Following our pattern above, this will put it at d + 3 (28 days would be back at d; 29 would be d+1, 30 would be d+2, and 31 is at d+3). In a non-leap year, February has 28 days, so March will start at d+3 also. April will start 31 days after that, so that puts us at d+3+3=d+6. May starts 30 days after that, so d+6+2=d+8. However, since we only have 7 days in the week, this is actually back to d+1. June starts 31 days after that, so d+1+3=d+4. July starts 30 days after that, so d+4+2=d+6. August starts 31 days after that, so d+6+3=d+9, but again, we only have 7 days in our week, so this is d+2. September starts 31 days after that, so d+2+3=d+5. October starts 30 days after that, so d+5+2=d+7, which is just d. November starts 31 days after that, so d+3. December starts 30 days after that, so d+5. Remember that each one of these expressions represents a day of the week. Going back through the list (in numerical order, and listing duplicates), we have d, d, d+1, d+2, d+3, d+3, d+3, d+4, d+5, d+5, d+6 and d+6. This means we have every day of the week covered, therefore there is a Friday the 13th at least once a year (if every day of the week can begin a month, then every day of the week can happy for any number in the month).
For leap years, every month after February would change, so we have (in the order of the months) d, d+3, d+4, d, d+2, d+5, d, d+3, d+6, d+1, d+4, and d+6. We still have every day of the week represented, so there is a Friday the 13th at least once. Additionally, none of the days of the week appear more than 3 times, so there is never a year with more than 3 Friday the 13ths.

5 0

2 years ago

Anthony is now designing the classroom layout for the school. Each hallway has exactly 5 classrooms. If Anthony has 48 classes t

cluponka [151]

Answer:

9 and a half

Step-by-step explanation:

the fewest number is 9.5 because thats the exact amount in hallways that he needs

4 0

2 years ago

Read 2 more answers

The following table shows Jace's earnings based on the number of hours that he works.

statuscvo [17]

Answer:

Step-by-step explanation:

because no

7 0

1 year ago

Jake has $25.000 worth of property damage insurance and $1,000- deductible collision insuranceHe caused an accident that damaged

Flauer [41]

Answer:

I think b will be good for you

5 0

3 years ago

A rectangular park has a width of 8/9 of a mile and a length 3/5 of a mile. Find the

Nesterboy [21]

Answer:0.53 miles

Step-by-step explanation:

4 0

3 years ago