7-12(3+b)=31
7-36+12b=31
-29+12b=31
12b=31+29
12b=60
b=5
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Answer:</h3>
- C. (9x -1)(x +4) = 9x² +35x -4
- B. 480
- A. P(t) = 4(1.019)^t
Step-by-step explanation:
1. See the attachment for the filled-in diagram. Adding the contents of the figure gives the sum at the bottom, matching selection C.
2. If we let "d" represent the length of the second volyage, then the total length of the two voyages is ...
... (d+43) + d = 1003
... 2d = 960 . . . . . . . subtract 43
... d = 480 . . . . . . . . divide by 2
The second voyage lasted 480 days.
3. 1.9% - 1.9/100 = 0.019. Adding this fraction to the original means the original is multiplied by 1 +0.019 = 1.019. Doing this multiplication each year for t years means the multiplier is (1.019)^t.
Since the starting value (in 1975) is 4 (billion), the population t years after that is ...
... P(t) = 4(1.019)^t
Value of 5(d–2) is 45.
Option C is correct.
Step-by-step explanation:
We are given 3(d+1)=4(d–2) and we need to find the value of 5(d–2)
First we will solve 3(d+1)=4(d–2) to find value of d:
Solving:

So, value of d = 11
Now putting value of d in 5(d–2) and finding its value:

So, value of 5(d–2) is 45.
Option C is correct.
Keywords: Solving Equations
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One bag of popcorn is 1.33