The second of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers.
1 answer:
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Th long side of the plastic sheet is bent into a U shape.
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure.
The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0
h = 80/32 = 2.5 in
V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³
Answer: h = 2.5 in
Therefore the dimensions of the file holder are 8, h, and (10 - 2h) as shown in the figure.
The volume of the file holder is
V = 8*h*(10 - 2h) = 80h - 16h²
To maximize V, V'(h) = 0.
That is,
80 - 32 h = 0
h = 80/32 = 2.5 in
V''(h) = -32 guarantees that V is maximum because V'' <0.
Maximum V = 80*(2.5) - 16*(2.5)² = 100 in³
Answer: h = 2.5 in
Answer:
Step-by-step explanation:
Given: Hector saved twice as much money as Sam.
Ted saved $100 more than Hector.
Gina saved $50 less than Ted.
As given, lets assume the amount of money Sam has in saving be "x".
Now, finding saving of each person given.
Writing the algebric expression of each´s saving amount.
we know, Hector saved twice as much money as Sam.
∴ Hector saving=
Also, Ted saved $100 more than Hector.
∴ Ted´s saving=
Next finding Gina´s saving
As given, Gina saved $50 less than Ted.
∴ Gina´s saving=
Opening parenthesis and solving it.
⇒ Gina´s saving=
Algebric expression of Gina´s saving=