Answer:
1. 7/9
2. 7/16
3. 3/7
4. 123/125
Step-by-step explanation:
1. Simplify the following:
2/9 + 5/9
2/9 + 5/9 = (2 + 5)/9:
(2 + 5)/9
2 + 5 = 7:
Answer: 7/9
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2. Simplify the following:
3/4 - 5/16
Put 3/4 - 5/16 over the common denominator 16. 3/4 - 5/16 = (4×3)/16 - 5/16:
(4×3)/16 - 5/16
4×3 = 12:
12/16 - 5/16
12/16 - 5/16 = (12 - 5)/16:
(12 - 5)/16
12 - 5 = 7:
Answer: 7/16
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3. Simplify the following:
6/7×1/2
6/7×1/2 = 6/(7×2):
6/(7×2)
6/2 = (2×3)/2 = 3:
Answer: 3/7
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4. Rewrite the decimal number as a fraction with 1 in the denominator
0.984=0.984/1
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10^3 = 1000
(0.984/1)×(1000/1000)= 984/1000
Find the Greatest Common Factor (GCF) of 984 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,
(984/8) = 123
(1000/8) = 125
Therefore
X=123/125
In conclusion,
Answer: 0.984=123/125
Answer:
(f • g)(x) = x² - 6x + 7
Step-by-step explanation:
Suppose
f(x) = x² - 2
g(x) = x - 3
Determine
(f • g)(x) = ...
We can compose the functions by doing the following
(f • g)(x) = f(g(x))
(f • g)(x) = f(x - 3)
(f • g)(x) = (x - 3)² - 2
(f • g)(x) = x² - 6x + 9 - 2
(f • g)(x) = x² - 6x + 7
I hope this helps!
Answer:
Johan can make 8000 different outfits.
Step-by-step explanation:
Johan needs to pick one of each (shirt, pants, socks and shoes) to make a outfit. The number of socks he has is 20 pairs, so he has 20 possibilities for socks. In the same way, the number of possibilities for shoes is 5, for pants is 10 and for shirts is 8.
So, to find the number of outfits he can make, we need to multiply all the possibilities for each case, so:
Number of different outfits = 20 * 5 * 10 * 8 = 8000.
Answer:
There is a unique solution.
The solution is x = 0, y = 0, and z = 0.
The system intersects at one point.
The system is independent and consistent.
Step-by-step explanation:
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