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Damm [24]
3 years ago
9

Eli runs 2 miles on his first day of training for a road race. The next day, he increases his distance run by 0.25 miles. The da

y after that, he increases his distance run by another 0.25 miles, and so on. What is the total number of miles Eli runs over the course of 12 days?
Mathematics
2 answers:
anyanavicka [17]3 years ago
8 0

Answer: Number of miles he runs for 12 days is 40.5 miles.

Step-by-step explanation:

Since we have given that

Number of miles Eli run on his first day = 2 miles

Next day, he increases his distance run by 0.25 miles.

Number of miles Eli run on his second day = 2+0.25 = 2.25 miles

Number of miles Eli run on his third day = 2.25+0.25 = 2.5 miles

So, it becomes an arithmetic progression:

2,2.25,2.5,....

Number of days he runs for = 12 days

So, Total number of miles he runs over the course of 12 days is given by

S_{12}=\frac{12}{2}(2a+(n-1)d)\\\\S_{12}=\frac{12}{2}(2\times 2+(12-1)0.25)\\\\S_{12}=6(4+11\times 0.25)\\\\S_{12}=6(6.75)\\\\S_{12}=40.5\ miles

Hence, Number of miles he runs for 12 days is 40.5 miles.

ivanzaharov [21]3 years ago
6 0
S_{n} = \frac{ a_{1(1- r^{n}) } }{1-r}
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3 years ago
If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade?
tankabanditka [31]
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7 0
3 years ago
Answer and explain I’ll mark brainliest please help!!!!!
Papessa [141]

Answer:

230 were sold at the door

170 were sold in advance

Step-by-step explanation:

x=at door y=in advance

x+y=400

3x+2y=1030

y=-x+400

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8 0
3 years ago
Help meeee pleaseeeee
dsp73

3 = 379.25

4 = 1587.50

5 = 198.88

6 = 1217.50

7 = 1788.20

8 = 1408

9 = 205

10 = 1516

11 = 2034

12 = 880

13 = 1994.57

14 = 1157.77

15 = 38812.50

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7 0
3 years ago
The time in new York is 16.45 (EDT).what is the time in brisbane(AEST)which is 14 hours ahead?
elena-s [515]
Answer: 06.45

Explanation: For this problem, it is essential to know that there are 24 hours in a day. With that said, we take our starting time of 16.45 and since we want to know what time it is 14 ahead (addition), we add the two numbers together.

16.45 + 14 = 30.45

Since there are only 24 hours in a day, and we have exceeded that value, we subtract 24.

30.45 - 24 = 06.45

And that is the time in Brisbane.

Alternatively, you can count time in 12-hour format and convert 16.45 to 4.45 pm by subtracting 12.

Knowing your start time is 4.45pm simply add 14 to that (or change the pm to an and add 2 since 14-12=2).

You will again get 6.45am.

Cheers.
7 0
2 years ago
Read 2 more answers
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