Answer:
B.
Step-by-step explanation:
x = small box
(small box + 5 ounces) = large box.
B shows:
x + (x + 5) = 27
Small box + (small box + 5 ounces) = 27 ounces.
Small box + large box = 27 ounces.
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Why A and C are incorrect.
A describes:
x + 5x = 27
Small box + 5 multiplied by small box = 27
(5 multiplied by small box is equivalent to 5 small boxes.)
Small box + 5 small boxes = 27
C describes:
x + 5 = 27
small box + 5 ounces = 27
Large box = 27
(We know that a small box + 5 ounces is a large box)
<h3>
Answer: 37</h3>
====================================================
Work Shown:
T = tens digit of the original number
U = units digit of the original number
U+T = 10 since the digits add to 10. Solve for U to get U = 10-T
10T+U = original number
10U+T = new number where digits are reversed
-----------
new number = (old number) + 36
10U+T = (10T+U)+36
10U+T = 10T+U+36
10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T
100-10T+T = 10T+10-T+36
-9T+100 = 9T+46
100-46 = 9T+9T
54 = 18T
18T = 54
T = 54/18
T = 3 is the tens digit of the original number
U = 10-T
U = 10-3
U = 7 is the units digit of the original number
10T+U = 10*3+7 = 30+7 = 37 is the original number
73 is the reversed number.
73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.
Answer:
0.8749
Step-by-step explanation:
Problems of normally distributed samples can be 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:
The probability that Z is less than 1.15 is:
This is the pvalue of Z = 1.15, which is 0.8749.
-10(1-9x) +6(x-10)
-10+90x+6x-60
96x-70
so d is the answer
