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3 years ago

PLEASE HELP AND SHOW WORK i'm very confused

Mathematics

1 answer:

noname [10]3 years ago

4 0

Answer:

a. about 15.51 miles, rounded to 15.5 miles

b. about 31.02 miles, rounded to 31 miles

Step-by-step explanation:

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

10 20 40 80 160 320 640

1280 2560 5120 10240 20480 40960 81920

81920/5280 = 15.51515151, rounded to the nearest tenth of a mile, 15.5 miles

Question b asks for how many miles in total has he ran. That means we have to add each of the values shown above and that equals to 163830 feet.

Divide that by 5280 and that equals 31.02 miles, rounded to the nearest tenth, 31 miles.

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When you add two odd numbers together, the answer is:

Mashcka [7]

Answer:

1. Even - B

2. Even - B

3. Odd - A

Step-by-step explanation:

Example 1: 7+7 = 14

7 is odd, 14 is even.

Example 2: 4 + 4 = 8

4 is even, and 8 is even.

Example 3: 4 + 5 = 9

4 is even, 5 is odd, 9 is odd.

3 0

3 years ago

Read 2 more answers

Dont really understand how to do this

bija089 [108]

Answers:

$t_{10} = -22 \ \text{ and } S_{10} = -85$

========================================================

Explanation:

$t_1 = \text{first term} = 5\\t_2 = \text{first term}-3 = t_1 - 3 = 5-3 = 2$

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

$t_3 = t_2 - 3 = 2-3 = -1\\t_4 = t_3 - 3 = -1-3 = -4$

and so on. This process may take a while to reach $t_{10}$

There's a shortcut. The nth term of any arithmetic sequence is

$t_n = t_1+d(n-1)$

We plug in $t_1 = 5 \text{ and } d = -3$ and simplify

$t_n = t_1+d(n-1)\\t_n = 5+(-3)(n-1)\\t_n = 5-3n+3\\t_n = -3n+8$

Then we can plug in various positive whole numbers for n to find the corresponding $t_n$ value. For example, plug in n = 2

$t_n = -3n+8\\t_2 = -3*2+8\\t_2 = -6+8\\t_2 = 2$

which matches with the second term we found earlier. And,

$tn = -3n+8\\t_{10} = -3*10+8\\t_{10} = -30+8\\t_{10} = \boldsymbol{-22} \ \textbf{ is the tenth term}$

---------------------

The notation $S_{10}$ refers to the sum of the first ten terms $t_1, t_2, \ldots, t_9, t_{10}$

We could use either the long way or the shortcut above to find all $t_1$ through $t_{10}$ . Then add those values up. Or we can take this shortcut below.

$Sn = \text{sum of the first n terms of an arithmetic sequence}\\S_n = (n/2)*(t_1+t_n)\\S_{10} = (10/2)*(t_1+t_{10})\\S_{10} = (10/2)*(5-22)\\S_{10} = 5*(-17)\\\boldsymbol{S_{10} = -85}$