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Answer:
1608.5 cm³
Step-by-step explanation:
Use the cylinder volume formula, V = 
r²h
If the diameter is 16 cm, then the radius is 8 cm.
Plug in the radius and height into the formula, and solve:
V = r²h
V = (8)²(8)
V = (64)(8)
V = 1608.5
So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³
Answer:
The jeweler made 9 necklaces.
The jeweler made 8 bracelets.
Step-by-step explanation:
x = number of bracelets
y = number of necklaces
17 = x + y
238 = 5x + 22y
Make one of the coefficients, x, the same.
17 = x + y
Multiply this equation by 5.
85 = 5x + 5y
Subtract the equations to get rid of x.
(238 = 5x + 22y) - (85 = 5x + 5y)
(5x - 5x) + (22y - 5y) = 238 - 85
22y - 5y = 238 - 85
17y = 153
y = 153/17 = 9
The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.
17 = x + y
17 = x + 9
17 - 9 = x
x = 8
238 = 5x + 22y
238 = 5x + 22(9)
238 = 5x + 198
238 - 198 = 5x
40 = 5x
x = 40/5
x = 8
The jeweler made 8 bracelets.
Answer:
5(x+3)........ ...........
Answer: 2 3/4 > 2.68 is correct (only)
Step-by-step explanation: 2 3/4 = 2.75, and 2.75 is greater than 2.68
The rest are incorrect. 7.895 * 10^2 (100) = 789.5, and 5.43 * 10^3 (1000) = 5430. So 789.5 > 5430 is false.
Sqrt(63) = 7.93, and 7.93 > 8.11 is false.
Absolute values ( | | ) mean that no matter if it is negative or positive, it will become positive (unless the negative sign is outside the absolute value). 1.5 > 3.2 is false, and even without the absolute value, -1.5 is still less than 3.2
