(18 neclaces)/(12 days) = 1.5 necklaces/day
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Rate is generally expressed in terms of quantity per time period. ("Per" means "divided by" here.) So, to find the rate, you divide the quantity by the corresponding time period, as above. There are other sorts of rates, but this is perhaps the most common.
We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters
Answer:
C. 8
Explanation:
One way to solve this is to find 30% of each class, 28 and 24.
30% of 28:
28 • 0.30 = 8.4
30% of 24:
24 • 0.30 = 7.2
You can then find the average of these two numbers.
8.4 + 7.2 = 15.6
15.6 ➗ 2 = 7.8
7.8 rounds up to 8
Another way to solve is to first find the average number of people in each class.
28 + 24 = 52
52 ➗ 2 = 26
You can then find 30% of this number.
26 • 0.30 = 7.8
7.8 rounds up to 8
Answer:
22
Step-by-step explanation:
<span>#1
Factoring the function:</span>
<span>f(x) = x3 + 7x2 + 14x + 8
f(x) = (x + 4) (x + 1) (x + 2)
From the options, (x + 2) is the factor
#2
f(x) / g(x) = (</span>6x3 - 19x2 + 16x - 4) / (x - 2)
This can be solved by factoring the numerator, by synthetic division or using the remainder theorem.
The result is:
6x^2 - 7x + 2 or (x - 2/3)(x - 1/2)
#3 same with #2
#4
(x3 - 5x2 + 2x + 5) / (x - 2)
Again, this can be solved by a number of methods, the result is:
x2 -3x - 4 - (3/x-2)
