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Roman55 [17]
3 years ago
13

A table and 8 chairs weigh 234.68 lb together. If the table weighs 157.84 lb, what is the weight of one chair in pounds?

Mathematics
1 answer:
Trava [24]3 years ago
5 0
You subtract 234.68 and 157.84 and you get 76.84lb
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A rectangular storage container with an open top is to have a volume of 10 m3. the length of this base is twice the width. mater
BartSMP [9]
Refer to the diagram shown below.

The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x²        (1)

The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²

The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x

The total cost is
C = 20x² + 180/x

The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.

The total cost is
C = 20(1.651)² + 180/1.651 = $163.54

Answer: $163.54

7 0
3 years ago
Evaluate the Expression z(z-7) when z=10
Alchen [17]

Answer:

30

Step-by-step explanation:

z(z-7)

Let z= 10

10(10-7)

Parentheses first

10 (3)

Multiply

30

3 0
3 years ago
Read 2 more answers
The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of
nalin [4]

Given:

The  function that represents how the amount of fuel changes as a function of distance flown is

f(x)=-0.9x+665

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To find:

The rate of change for this scenario.

Solution:

The slope intercept form of a linear function is

y=mx+b        ...(i)

Where, m is the slope or rate of change and b is the y-intercept.

We have,

f(x)=-0.9x+665        ...(ii)

On comparing (i) and (ii), we get

m=-0.9

Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.

8 0
3 years ago
Mason randomly chooses a card from a standard deck of playing cards. What is the probability that it is not an ace, given it is
bogdanovich [222]

Answer:

there are 52 cards in a deck so the chance is a red card (or not a red card) is 26 out of 52.

Step-by-step explanation:

5 0
2 years ago
Daniel wrote the number 45,358. How many times greater is the 5 in the thousands place than the 5 in the tens place
insens350 [35]
1000 times cause its the value of the number
7 0
3 years ago
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