Let x be the amount of cement and y be the amount of sand. If <span>the ratio of cement to sand for mortar is 1:3, then
and y=3x.
</span>
So, if <span>Sandy puts in x=7 shovels of cement, then she puts
shovels of sand.
</span><span>
</span><span>
Answer: 21 shovels of sand.
</span>
Hello!
The parent function, y = ln(x), has a vertical and horizontal translation.
y = ln(x - h) + k | In this equation, h is the vertical shift, and k is the horizontal shift.
If ln(x - k), then the graph is translated right k units.
If ln(x + k), then the graph is translated left k units.
If ln(x) + h, then the graph is translated up h units.
If ln(x) - h, then the graph is translated down h units.
Therefore, the graph of y = ln(x - 7) + 3 is translated 3 units up and 7 units to the right, which is choice D.
Answer:
84
Step-by-step explanation:
<u>Order of operations (Parentheses first, exponents next, then multiplication, etc.)</u>
-3 * -2 = 6
<u>Multiply</u>
7 * 6 = 42
42 * 2 = 84
The expected duration of the activity is 29 days and 4 hours.
Step-by-step explanation:
Step 1:
The optimistic time, 
= 25 days,
The most likely estimate, 
= 29 days.
The pessimistic time, 
= 34 days.
According to PERT, the expected duration of the activity, 
Step 2:
By substituting the given values, we get
0.1666 days = 
29.1666 days approximately equal 29 days and 4 hours.
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