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Andrei [34K]
3 years ago
11

kaitlin is participating in a 5-day cross country biking challenge. She biked for 55,67,56,and 49 miles on the first four days.

How many miles does she need to bike on the last day so that her average (mean) is 55 miles per day?
Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0
The mean of a set of values is the sum of the data divided by the number of entries. So in this case:

\frac{55+67+56+49+x}{5} =55

Solve for x:

55 + 67 + 56 + 49 + x = 5(55)

227 + x = 275

x = 48

The answer is 48 miles.
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Given: The coordinates of rhombus WXYZ are W(0, 4b), X(2a, 0), YO, -4b), and Z(-2a, 0).
Shkiper50 [21]

Answer:

∴ MNOP is Rectangle

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Step-by-step explanation:

W (0 , 4b)   X ( 2a , 0)   Y (0 , -4b)   Z (-2a , 0)

M (midpoint of WX) : ( (0 + 2a)/2 , (4b + 0)/2)  i. e. (a , 2b)

N (midpoint of XY) : ( (2a + 0)/2 , (0 - 4b)/2)  i. e. (a , - 2b)

O (midpoint of YZ) : ( (0 - 2a)/2 , (- 4b + 0)/2)  i. e. (- a , - 2b)

P (midpoint of ZW) : ( (0 - 2a)/2 , (4b + 0)/2)  i. e. (- a , 2b)

MN: length = 2b + 2b = 4b     MN segment perpendicular to x axis (slope undefined)

NO: length = a + a = 2a     NO segment parallel to x axis (slope = 0)

OP: length = 2b + 2b = 4b     OP segment perpendicular to x axis (slope undefined)

PM: length = a + a = 2a     NO segment parallel to x axis (slope = 0)

MN = OP and MN // OP and MN ⊥ PM

NO = PM and NO // PM and NO ⊥ OP

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3 years ago
Pls help and show workings
andreev551 [17]

Answer: x = 11

Step-by-step explanation:

same as the last question, set them as equal and solve. here's my work:

<em>5x - 1 = 4x + 10</em>

<em>5x - 1 (+ 1) = 4x + 10 (+ 1)</em>

<em>5x = 4x + 11</em>

<em>5x (- 4x) = 4x (- 4x) + 11</em>

x = 11

8 0
2 years ago
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