Step 1 : 11875=2x+2391
Step 2: 11875-2391=2x
Step 3: 9484=2x
Step 4: 9484/2=x
Step 5: x=4742
Answer:
Step-by-step explanation:
Total cost for the three nights
Total_3 = $298.17 + 3*u
Where <em>u </em>represents the unknown fees for a single day
To find the daily cost, we divide the previous equation by three
Daily cost = ($298.17 + 3*u)/3
Daily cost = ($99.39 + u)
So, if we create an inequality for the daily cost
Let x = Daily cost
x > $99.39
She will pay more than $99.39 per night
Answer:
The correct answer is the last option, that is, 
Step-by-step explanation:
We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 
We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 
In order for amount of money to be equal in accounts of both the runners, we set up:

Upon rewriting the left hand side using commutative law, we get:

Therefore, we can see that the last option is the correct answer.
Answer:
20.33%
Step-by-step explanation:
We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12
They ask us for P (x <86)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (86 - 87.5) / (6.25 / (12 ^ 1/2))
z = -0.83
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-0.83) = 0.2033
The probability is 20.33%
Answer:
<em>The plant grew </em>
<em> inches</em>
Step-by-step explanation:
<u>Operations with Fractions</u>
Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.
We are required to find the total growth during the two weeks. We have to find the sum of:

Let's convert both fractions to improper form:

Adding the integers:

Now we find the LCM of 7 and 14 is 14, thus:




Rewriting as a mixed number:
The plant grew
inches