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3 years ago

How to solve for b = -1 -7a when the input,a, is 6

Mathematics

1 answer:

azamat3 years ago

8 0

Answer:

-43

Step-by-step explanation:

Input 6 where a is so then do -7 x 6 which would be -42

the equation is now b = -1 - 42

-1 -42 = -43

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The manufacturer of a wooden feeding trough for farm animals makes the sides and bottom of the trough 1 foot thick. The outer he

Tju [1.3M]

Answer:

outer width of trough = outer height of trough = x = 4ft

outer length of trough = 2x = 8ft

Step-by-step explanation:

Let,

x = outer width of trough = outer height of trough

Now, according to given condition:

2x = outer length of trough

Now we calculate the inner dimensions by subtracting the thickness (1 ft)

Therefore,

x - 2(1ft) = x - 2ft = inner width of trough (because 1ft from both sides will be subtracted)

x - 1ft = inner height of trough (because only bottom thickness will be subtracted)

2x - 2ft = inner length of trough (because 1ft from both sides will be subtracted)

Now, for the holding volume or inside volume of trough will be:

$Inner Volume = 36\ ft^3 = inner\ height*inner\ width*inner\ length \\36 = (x - 1)(x - 2)(2x - 2)\\36 = (x - 1)(2x^2 - 6x + 4)\\36 = (2x^3 - 6x^2 + 4x - 2x^2 + 6x - 4)\\36 = (2x^3 -8x^2 + 10x - 4) \\2x^3 -8x^2 + 10x - 40 = 0\\2x^2(x-4)+10(x-4) = 0\\(x-4)(2x^2+10) = 0\\$

So, we will have three roots from this solution. Two, of them will be complex from the second factor. So, we ignore them and take the third one as our answer:

x - 4 = 0

x = 4ft

Now the outer dimensions will be:

outer width of trough = outer height of trough = x = 4ft

outer length of trough = 2x = 8ft

7 0

3 years ago

Please someone help me??

Zigmanuir [339]

D, E, and F are your answers

10≥10
11≥10
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5 0

3 years ago

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A pizza parlor charges $7.90 for a large pizza plus $1.25 for each additional topping. Write and solve an equation to find the n

zheka24 [161]

Answer:

3 toppings

Step-by-step explanation:

11.65

-7.90

3.75

3.75/1.25=3 toppings

4 0

2 years ago

Planners of an experiment are evaluating the design of a sphere of radius r that is to be filled with helium (0°c, 1 atm pressur

Vikentia [17]

The solution is:A mole of gas occupies 22.4 L A liter is 1000 cubic centimeters because 1 cubic centimeter = 1 mL
One Helium molecule (essentially one helium atom) has atomic mass 4 g/mol So for every 22400 cubic centimeters of volume, we have 4 grams of helium Density of helium = 4g / 22400 cm^3 = 1g / 5600 cm^3
Volume of a sphere = (4/3)(pi)r^3 Volume of the outside sphere (the entire sphere) is (4/3)(pi)(R+T)^3 Volume of the inside sphere (the hollow region) is (4/3)(pi)R^3
The difference for the volume of silver. (4/3)(pi)(R+T)^3 - (4/3)(pi)R^3 = (4/3)(pi)(3R^2T + 3RT^2 + T^3)
The density of silver is 10.5g/cm^3
So the mass of the silver is computed by:10.5*(4/3)(pi)(3R^2T + 3RT^2 + T^3) = (14*pi)(3R^2T + 3RT^2 + T^3) = (14pi)T(3R^2 + 3RT + T^2)

Now for the mass of helium: volume x density = (4/3)(pi)R^3 (1/5600) = (pi/4200)R^3

Set the two masses equal: (pi/4200)R^3 = (14pi)T(3R^2 + 3RT + T^2) R^3 = 58800*T(3R^2 + 3RT + T^2) R / T = 58800*(3R^2 + 3RT + T^2) / R^2 = 58800*( 3+T/R^2+(T/R)^2)
then solve for xx = T / R 1/x = 58800*( 3+x/R+x^2) 1/58800 = x (3 + x/R + x^2) 1/58800 = 3x + x^3 x^3 + 3x - 1/58800= 0 x = ~ 5.66893x10^(-6)

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3 years ago

Simplify (x – 3) (232 – 4x – 7)

11111nata11111 [884]

Answer:

-4x^2 + 237x - 675

Step-by-step explanation:

(x - 3)*(232 - 4x -7) >> Distribute x and -3 to the trinomial

232x - 4x^2 - 7x - 696 + 12x + 21 >> Simplify

-4x^2 + 237x - 675

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2 years ago

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