Answer:
18.8 cubic inches
Step-by-step explanation:
✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A
✔️Volume of Cup B = Volume of cylinder = πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 7 in.
Volume of cup B = π*1²*7 = 21.99 in.³
✔️Volume of Cup A = Volume of cone = ⅓πr²h
radius (r) = ½ of 2 = 1 in.
height (h) = 3 in.
Volume of cup B = ⅓*π*1²*3 = 3.14 in.³
✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)
The solution to –2(8x – 4) < 2x + 5 is x > 1/6
<h3>How to solve the inequality?</h3>
The expression is given as:
–2(8x – 4) < 2x + 5
Expand
-16x + 8 < 2x + 5
Evaluate the like terms
-18x < -3
Divide both sides by -18
x > 1/6
Hence, the solution to –2(8x – 4) < 2x + 5 is x > 1/6
Read more about inequalities at:
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ANSWER
x=27
EXPLANATION
The two triangles are similar so the corresponding sides are equal.


Cross multiply to get;

Expand:
65x=39x+702
Group similar terms:
65x-39x=702
Simplify
26x=102
Divide both sides by 26,
x=702/26
x=27
Answer:
(3 - y) & (x - a) are the factors
Step-by-step explanation:
3x-3a+xy-ay
=> 3x - xy - 3a - ay
=> x(3 - y) - a(3 - y)
=> (3 - y)(x - a)
12 times with a remainder of 1