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just olya [345]
3 years ago
12

The Tour de France is a bike race around the country of France. The bike race is a three week race that covers approximately 2,2

00 miles. The first week covered 1200 miles, to the nearest whole percent. What percent of the race happened in the first week?
Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0

Answer:

Approximately 54.54% of race happened in the first week.

Step-by-step explanation:

We are given the following in the question:

Length of bike race in three weeks = 2,200 miles

Race covered in first week = 1,200 miles

Percentage of race covered in first week =

=\dfrac{\text{Race covered in first week}}{\text{Total length of race}}\times 100\%\\\\=\dfrac{1200}{2200}\times 100\%\\\\=54.54\%

Thus, approximately 54.54% of race happened in the first week.

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Determine the arithmetic sequence if the fourth term is negative six and the eleventh term is negative thirty four
ICE Princess25 [194]
An arithmetic sequence takes the form

a_n=a_{n-1}+d

where d is the common difference between terms. You can solve for a_n in terms of any of the previous terms of the sequence:

a_n=a_{n-1}+d\implies~a_n=a_{n-2}+2d\implies~a_n=a_{n-3}+3d\implies\cdots\implies~a_n=a_{n-k}+kd

for some integer 1\le k\le n-1

Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term a_1

a_n=a_1+(n-1)d

Given that the 4th term is a_4=-6 and the 11th term is a_{11}=-34, you have the following system of equations.

\begin{cases}-6=a_1+(4-1)d\\-34=a_1+(11-1)d\end{cases}

Solving this system for the two unknowns yields a_1=6 and d=-4.

So, the sequence is given explicitly by

a_n=6+(n-1)(-4)=-4n+5
3 0
3 years ago
Area of the plane figure
Viefleur [7K]

Answer:

Area = 16.8 * 7 / 2 = 58.8 ft2

Step-by-step explanation:

Have

18.2^2 = 7^2 + a^2

-> a^2 = 18.2^2 - 7^2

-> a^2 = 282.24

-> a = 16.8

Area = 16.8 * 7 / 2 = 58.8 ft2

3 0
3 years ago
Help!!! I just need Help on number 6 please!!!!!!!! ASAP!!!
PtichkaEL [24]

Answer:

3

Step-by-step explanation:

\sqrt{12} =3.46 (2 decimal places)

If you want to arrange the tiles into a square, you will need 3.46 in each row/column.

This is physically impossible, hence you round it down to 3.

(If you round it up, you won't have enough tiles since 4*4=16)

Thus, the square area will be 3*3=9

Tiles left: 12-9=3

6 0
3 years ago
What the slope of y=-7x+12
castortr0y [4]

Answer:

slope -7

y intercept (0 , 12)

4 0
3 years ago
Can someone help me with this proof
larisa86 [58]

The fourth option is the correct answer.

Hope this helps! ;)

8 0
3 years ago
Read 2 more answers
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