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
Solve for X in the 2nd equation:
x+2z = 0
Subtract 2z from both sides:
x = -2z
Replace x in the first equation with -2z
-2z +y -z = 1
Combine like terms:
-3z +y = 1
Add 3z to both sides:
y = 3z +1
Replace x and y in the 3rd equation:
2(-2z) + 2(3z+1) = 4
-4z + 6z + 2 = 4
2z +2 = 4
2z = 2
z = 1
Now replace z with 1 in the other equations for x and y:
x = -2z = -2(1) = -2
y = 3z +1 = 3(1) +1 = 3+1 = 4
So you have x = -2, y = 4 ans z = 1
The answer would be written as (-2,4,1)
