1)Find the lcd for 1/8+5/6
=2/24+5*4/24
since the denominators are equal, combine the fractions
=3+4*5/24
=23/24
2)Convert the mixed numbers to improper
=15/8*17/5
=255/40
=51/8
=6 3/8
3)1/9 divided by 3
1/3*9
=1/27
4) 2 3/5* 2 6/35
13/5*76/35
13*76/175
988/175
=5 113/175
Answer:
Step-by-step explanation:
<u>Cylinder volume formula:</u>
<u>Substitute values:</u>
- V = π(1.6)²(12) m³ = 96.5 m³ (rounded to the nearest tenth of a m³)
Evaluate the expression shown for x=12 -5/6×+7
-5/6(12)+7
-10+7=-3
-3
<h3>
Answer: B. All real numbers</h3>
Work Shown:
2(3c+3) < 6c+9
6c+6 < 6c+9 .... distribute
6c+6-6c <6c+9-6c .... subtract 6c from both sides
6 < 9 ... note the c terms go away entirely
We're left with a statement that is always true since 6 is always less than 9 regardless of what value of c we pick. So there are infinitely many solutions. Any real number can replace c to get a true statement.
Answer: -2x - 10
Steps: -2(x+5)
Apply the distributive law [ a(b + c) = ab + ac ]:
a = -2, b = x, c = 5
-2x + (-2) × 5
Apply minus/plus rules: -2x - 2 × 5
Multiply the numbers: 2 × 5 = 10
-2x - 10
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