PLEASE HELP!!!

When thinking of things that “fall in the fall,” perhaps the first things that come to your mind are leaves? For many people around the country, the leaves are falling from their trees, and hours of raking are necessary. Joe decided that he would try to make some extra money by raking the leaves in his neighbors’ yards. Joe figured he would need approximately seven bags per yard in which to collect the leaves. The bags are sold 10 to a box, and Joe is planning on raking 14 yards. How many boxes of bags
must he buy?

Another thing that seems to “fall in the fall” is the temperature. Heather noticed that the high temperature on October 21st was 66 degrees, the high temperature on October 26th was 63 degrees and the high temperature on October 31st was 60 degrees. It appears that the high temperatures on every fifth day are forming an arithmetic sequence. If this sequence were to continue, on what date would the high temperature be 33 degrees?

A third thing that tends to “fall in the fall” is people’s amount of physical activity. It is believed that people generally gain weight in the colder months in large part due to this lack of physical activity. Lou decided to be proactive about this and promised himself he would exercise at least four days of every calendar week (or every Sunday through Saturday time period). If Lou never wants to skip exercising on consecutive days within a calendar week, and he exercises exactly four days out of the seven, how many
different workout schedules are possible for a calendar week?

Answer:

For one you would need 10 boxes of bags you would approximately need 98 bags.

for two The temp. would reach 33 degrees by December 15th.

for three.... I have no clue :/ If I figure it out I will get back to you

Step-by-step explanation:

1. 7 bags per yard, you have 14 yards so 14x7=98 which you should round to 100 bags which would be 10 boxes if each box has 10 bags  

2. all I did was follow the pattern (using a 2021 calendar so I wouldn't mess up the days)  went through months following the pattern every five days the temp. goes down by 3 degrees.

Joe would need to buy 10 boxes out of which 2 bags will be unused. The date on which temperature will be 33 degrees is 30th December. The schedule should be Monday, Wednesday, Friday, and Sunday.

1.

Given information:

Joe figured he would need approximately 7 bags per yard in which to collect the leaves.

The bags are sold 10 to a box, and Joe is planning on raking 14 yards.

The number of bags required to collect the leaves from 14 yards will be,

[tex]14\times7=98\rm\; bags[/tex]

So, the number of boxes required will be,

[tex]b=\dfrac{98}{10}\\b=9.8[/tex]

Since the number of boxes can't be a fraction. Joe would need to buy 10 boxes out of which 2 bags will be unused.

2.

Given information:

The high temperature on October 21st was 66 degrees, the high temperature on October 26th was 63 degrees and the high temperature on October 31st was 60 degrees.

The temperature on every fifth day forms an AP. SO, the AP will be 66, 63, 60, .....

It is required to find the date on which the temperature will be 33 degrees.

The place of term 33 in the AP will be,

[tex]a_n=a+(n-1)d\\33=66+(n-1)(-3)\\n-1=11\\n=12[/tex]

33 is placed in 12th position. So, after [tex]12\times5=60[/tex] days, the temperature will be 33 degrees.

Therefore, the date on which temperature will be 33 degrees is 30th December.

3.

Lou decided to be proactive about this and promised himself he would exercise at least four days of every calendar week.

Lou never wants to skip exercising on consecutive days within a calendar week.

He will work on consecutive days and four days a week. So, there is only one possibility to match the condition.

The schedule should be Monday, Wednesday, Friday, and Sunday.

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