Answer:
2/45
Step-by-step explanation:
Total socks:
7 + 8 + 10 + 5 = 30
P(blue) × P(patterned)
8/30 × 5/30
4/15 × 1/6
2/45
X/4 < = -3/2...multiply both sides by 4
x < = -3/2 * 4
x < = -12/2
x < = -6.......graph : 1 (because less then shades to the left....and an equal sign in the problem means the dot is solid)
7x/9 > - 14/3 ....multiply both sides by 9
7x > - 14/3 * 9
7x > -42...divide both sides by 7
x > -42/7
x > - 6......graph : 4 (because greater then shades to the right...and no equal sign means it is an open dot)
-75x/4 > 225/2...multiply both sides by 4
-75x > 225/2 * 4
-75x > 450...divide both sides by -75, and change the sign
x < -450/75
x < - 6.......graph : 2 (because less then is shaded to the left...and no equal sign means an open dot)
2x/3 > -16/3...multiply both sides by 3
2x > -16/3 * 3
2x > -16 ...divide both sides by 2
x > -16/2
x > -8......graph : 3 (because greater then shades to the right....and no equal sign means an open dot)
Answer:
1. False
2. False
3. True
4. False
5. True
Step-by-step explanation:
35/23 is an improper fraction because the numerator is larger than the denominator.
To convert to a mixed number, use long division to find 35 into 23 goes in exactly one whole time (quotient) and there is 12 leftover (remainder)
You can see it through doing it like this
35/23 = (23+12)/23 = 23/23 + 12/23 = 1 + 12/23 = 1 & 12/23
So in short, 35/23 = 1 & 12/23
1 & 12/23 is a mixed number with 1 as the whole part and 12/23 as the fractional part.
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Real life example: if you had 35 cookies and 23 friends, then each friend would get 1 whole cookie. There would be 12 cookies left over.