Answer:
10
Step-by-step explanation:
12x + 20+40 = 180
12x = 120
X = 10
See, pls, the offered decision:
1. this ratio has another form: 2x/3x/4x;
2. the difference between the largest and the smallest is 4x-2x=10.
Then x=5, and the sequence of numbers is 10/15/20, where 15 is the middle number.
Answer: 15.
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
Factor out the gcf first.
3(4y^2-9)
The binomial inside is a perfect square so keep factoring.
3(2y+3)(2y-3)
The pair of binomials cannot be further factored so stop there.
Answer:
46.9
Step-by-step explanation:
328/7 = 46.9
To double check: 46.9 x 7 = 328
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