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lana [24]
3 years ago
5

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?



39.5 mi

40.25 mi

40.5 mi

42.75 mi
Mathematics
2 answers:
zlopas [31]3 years ago
7 0
He will run 40.5 miles in 12 days
vodka [1.7K]3 years ago
6 0

Answer:

Total number of miles Eli runs over the course of 12 days is 40.5 mi .

Step-by-step explanation:

The sum formula for airthmetic series is given by

S_{n} = \frac{n}{2}[2a_{1}+(n-1)d]

Where a_{n} is the nth term , a_{1} is the first term and d is the common difference .

As given

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 day after that, he increases his distance run by another 0.25 miles, and so on.

a_{1} =2

d = 0.25 miles

n = 12

Put all the values in the sum formula

S_{12} = \frac{12}{2}[2\times 2+(12-1)0.25]

S_{12} =6\times [4+11\times 0.25]

S_{12} =6\times [4+2.75]

S_{12} =6\times [6.75]

S_{12} =40.5\ mi

Therefore the total number of miles Eli runs over the course of 12 days is 40.5 mi .

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Answer:

  see attached

Step-by-step explanation:

A polynomial is the sum of terms with variables having positive integer exponents. Coefficient numbers need not be integers.

The term 3/x^4 = 3x^-4 is not such a term, so the expression containing it is not a polynomial.

7 0
3 years ago
How do you find the measure of each
bogdanovich [222]
Um, so it's a bit awkward with this question because they actually got the x value incorrect. When they added up all the values, they got 9x - 27 = 180, but it's actually 9x + 27 = 180 because -18 + 45 is positive 27. Anyways, when you solve it correctly you get x = 17, and then you substitute it into the angles. So with 5x - 18, you are saying 5(× 17) - 18 = 67. Then with the other one you do 4(× 17) + 45 = 113. You know that x is definitely 17 because 113 + 67 = 180.
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3 years ago
Can you please help me
puteri [66]

Answer:

The first one

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the value of x and y
Natalija [7]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>What does the information want:</u>

  • value of x
  • value of y

<u>Let's gather some information</u>:

  • ΔA'BC' and ΔABC are similar triangles

             ⇒ Angle B is shared by both triangles

             ⇒ Angle A' and A are the same, as they are both on parallel

                   lines, A'C' and AC, and both angles are formed with the

                   same line AB

                 ⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles

<u>If they are similar triangles</u>:

   ⇒ their side lengths are proportional to each other

  • let's find x's value

          ⇒ let's set up a proportion

                 \frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143

  • let's find y's value

          ⇒ let's set up a proportion

                 \frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25

<u>Answer:</u>

  • <u>x= 17.143</u>
  • <u>y = 26.25</u>

Hope that helps!

#LearnwithBrainly

 

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Answer:

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