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Andrei [34K]
2 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]2 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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We have been given that target sells a pack of iTunes gift cards for $40. Sam's Club sells them for $38.88. We are asked to find the percent decrease from Target's price to Sam's Club's price.

We will use percent decrease formula to solve our given problem.

\text{Decrease percent}=\frac{|\text{Final}-\text{Initial}|}{\text{Initial}}\times 100\%

\text{Decrease percent}=\frac{|38.88-40|}{40}\times 100\%

\text{Decrease percent}=\frac{|-1.12|}{4}\times 10\%

\text{Decrease percent}=\frac{1.12}{4}\times 10\%

\text{Decrease percent}=0.28\times 10

\text{Decrease percent}=2.8\%

Therefore, the percent decrease from Target's price to Sam's Club's price is 2.8%.

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2 years ago
If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the i
Murljashka [212]

Answer:

<h2>45, 46, 47</h2>

Step-by-step explanation:

n, n + 1, n + 2 - three consecutive integers

The equation:

138 - n = (n + 1) + (n + 2)

138 - n = n + 1 + n + 2                 <em>combile like terms</em>

138 - n = 2n + 3           <em>subtract 138 from both sides</em>

-n = 2n - 135               <em>subtract 2n from both sides</em>

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n = 45

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3 years ago
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Y_Kistochka [10]

Answer:

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Step-by-step explanation:

<u>Expand the expression with the help of distributive property.</u>

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Hence, the expanded expression is 2q + 6.

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2 years ago
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3 years ago
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grigory [225]

Answer:

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Step-by-step explanation:

First, let's find the height of the triangle using Pythagorean Theorem:

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