The answer is 3X + 12 because in he distributive property you must multiply both the 3X and the 4 by 3
3x1=3 hence the 3X
and 3x4 = 12 <span />
The amount of packing material is 1506 cubic inches
<h3>How to determine the amount of
packing material?</h3>
The given parameters are:
<u>Can</u>
Radius, r = 7 inches
Height, h = 18 inches
<u>Box</u>
Base dimension, l = 15 inches
Height, h = 19 inches
The volume of the can is:

So, we have:


The volume of the box is

So, we have:


The amount of packing material is;
Amount = V2 - V1
This gives
Amount = 4275 - 2769
Evaluate
Amount = 1506
Hence, the amount of packing material is 1506 cubic inches
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Answer:
they need 25 more signatures to get their idea carried out
Step-by-step explanation: 25% of 426 is 107 and 107 minus 82 is 25
Although the number of new wildflowers is decreasing, the total number of flowers is increasing every year (assuming flowers aren't dying or otherwise being removed). Every year, 25% of the number of new flowers from the previous year are added.
The sigma notation would be:
∑ (from n=1 to ∞) 4800 * (1/4)ⁿ , where n is the year.
Remember that this notation should give us the sum of all new flowers from year 1 to infinite, and the values of new flowers for each year should match those given in the table for years 1, 2, and 3
This means the total number of flowers equals:
Year 1: 4800 * 1/4 = 1200 ]
+
Year 2: 4800 * (1/4)² = 300
+
Year 3: 4800 * (1/4)³ = 75
+
Year 4: 4800 * (1/4)⁴ = 18.75 = ~19 (we can't have a part of a flower)
+
Year 5: 4800 * (1/4)⁵ = 4.68 = ~ 5
+
Year 6: 4800 * (1/4)⁶ = 1.17 = ~1
And so on. As you can see, it in the years that follow the number of flowers added approaches zero. Thus, we can approximate the infinite sum of new flowers using just Years 1-6:
1200 + 300 + 75 + 19 + 5 + 1 = 1,600
Decimal Form: 1.07
Mixed Number:1 7/95