Answer:
Hi There
Your answers are:
4) 12/3
-10) YES!
0/10) 0 (zero)
2 & 3/4 ) 11/4
10 & 1/2 ) 21/2
.3) 3/10
-.16) -4/ 25
3.17) 3 & 17 /100
.3 repeating ) YES
.16 repeating) 1/ 6
-1.2 repeating ) YES!
If a decimal does not terminate or repeat is is not a rational number
Step-by-step explanation:
For 4)
4/1 = 12/x
Ask yourself, how do i get from 4 to 12?
Multiply by 3! HOWEVER, whats done to the numerator MUST be done to the denominator!
4/1 * 3/3 = 12/3
For -10 )
-10/1 = -20/2
Simplify -20/2!
Divide -20 by 2 = -10
-10/1 = -10/1 YES!
For 0/10 )
When you have ZERO tenths, what does that equal? Zero!
For 2 & 3/4ths )
To change to an improper fraction, multiply the 2 by the denominator and add that to the numerator. Put that over the original denominator
(2*4 +3) / 4
8+3 / 4 = 11/4
For 10 & 1/2 )
Repeat what you did for 2& 3/4ths!
(10*2+1)/2
20+1/2
21/2
Answer: |x - 17.375| ≤ 1.125
Explanation:
1) Write the constraints in form of two inequalities, using x as variable name:
i) A maximum of 18.5 oz: x ≤ 18.5
ii) A minimum of 16.25 oz: x ≥ 16.25
2) Write as a combined inequality: 16.25 ≤ x ≤ 18.5
3) Find the midpoint between the two extremes:
(18.5 + 16.25) / 2 = 17.375
4) Subtract the midpoint from the three parts of the combined inequality:
16.25 - 17.375 ≤ x - 17.375 ≤ 18.5 - 17.375
-1.125 ≤ x - 17.375 ≤ 1.125
5) Use the property of absolute value inequality: | x - a| ≤ z ⇔ - z ≤ |x - a| ≤ z
-1.125 ≤ x - 17.375 ≤ 1.125 ⇔ |x - 17.375| ≤ 1.125
And that is the answer: |x - 17.375| ≤ 1.125
Answer:
50/100
Step-by-step explanation:
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