Answer:
Option C: (5/4)x - 2 = (3/2)x - 4
Step-by-step explanation:
A) (5/2)x + (7/2) = (3/4)x + 14
Multiply through by 4 to get;
10x + 14 = 3x + 56
10x - 3x = 56 - 14
7x = 42
x = 42/7
x = 6
B) (5/4)x - 9 = (3/2)x - 12
Multiply through by 4 to get;
5x - 36 = 6x - 48
6x - 5x = 48 - 36
x = 12
C) (5/4)x - 2 = (3/2)x - 4
Multiply through by 4 to get;
5x - 8 = 6x - 16
6x - 5x = 16 - 8
x = 8
D) (5/2)x - 7 = (3/4)x + 14
Multiply through by 4 to get;
10x - 28 = 3x + 56
10x - 3x = 56 + 28
7x = 84
x = 84/7
x = 12
Answer:
21
Step-by-step explanation:
I wil call the length l and the width w in the following. We are given these informations:
The area of the rectangle is 105. That means l * w = 105. (1)
The length is 16 inches longer that the width. That means l = w + 16. (2)
If we plug the information we get from (2) into the equation (1), we get:
(w + 16) * w = 105
Simplify and you get
w² + 16 w - 105 = 0
With the the quadratic formula we get the results w = 5 and w = -21. The negative result doesn't make sense for our task, we are only interested in positive length and width :).
If we now plug w = 5 back into our infromation (2), we get:
l = 5 + 16 = 21
(To confirm the result plug w = 5 and l = 21 into (1))
Answer:
rachael is 35 and sarah is 32.
Step-by-step explanation:
Answer:
95.64% probability that pledges are received within 40 days
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability that pledges are received within 40 days
This is the pvalue of Z when X = 40. So
has a pvalue of 0.9564
95.64% probability that pledges are received within 40 days
35 pages because 56/8 = 7, and 7 X 5 = 35.
56 is the total pages, 8 is the denominator, and 7 is the numerator
