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3 years ago

The difference of twice a number and 4 is 16 .

Mathematics

2 answers:

german3 years ago

7 0

Answer:

Let X be the number.

Twice the number would be 2x

The difference between the two, would be subtraction, so you would subtract 4 from 2x

The equation becomes 2x-4 = 16

Now solve for x:

2x-4 = 16

Add 4 to each side:

2x = 20

Divide both sides by 2:

x = 20/2

x = 10

The number is 10.

ICE Princess25 [194]3 years ago

7 0

Answer:

2x - 4 = 16

Step-by-step explanation:

We need to express this:

2x - 4 = 16.

To solve for x.

2x = 20

x = 10

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A company plans to manufacture a rectangular bin with a square base, an open top, and a volume of 13,500 in3. Determine the dime

Artyom0805 [142]

Answer:

Dimensions 30 in x 30 in x 15 in

Surface Area = 2,700 in²

Step-by-step explanation:

Let 'r' be the length of the side of the square base, and 'h' be the height of the bin. The volume is given by:

$V=13,500=h*r^2\\h=\frac{13,500}{r^2}$

The total surface area is given by:

$A=4*hr+r^2$

Rewriting the surface area function as a function of 'r':

$A=4*\frac{13,500}{r^2} *r+r^2\\A=\frac{54,000}{r}+r^2$

The value of 'r' for which the derivate of the surface area function is zero, is the length for which the area is minimized:

$A=54,000*r^{-1}+r^2\\\frac{dA}{dr}=0= -54,000*r^{-2}+2r\\\frac{54,000}{r^2}=2r\\ r=\sqrt[3]{27,000}\\r=30\ in$

The value of 'h' is:

$h=\frac{13,500}{30^2}\\ h=15\ in$

The dimensions that will ensure the minimum surface area are 30 in x 30 in x 15 in.

The surface area is:

$A=4*15*30+30^2\\A=2,700\ in^2$

3 0

3 years ago

Evaluate the function f(-2) - h(4) given the following functions: f(x) = 4x 2+ 9 h(x) = 3x - 14

Goryan [66]

Answer:

-86

Step-by-step explanation:

simplify each equation as much as possible

f(x)= 4x(2+9) add

4x(11) multiply

f(x)=44x

substitute given numbers into each equation

44(-2)=-88 3(4)-14= 12-14=-2

combine equations

-88-(-2)= -86 add since you are subtracting a negative number

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3 years ago

Po's dog weighs 24 and 65 lb Ricky's dog weighs 42 LB how much more does Ricky's dog weigh

arsen [322]

41 lb
work: 65 - 24 = 41
you're welcome

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3 years ago

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Illusion [34]

I’m not sure but maybe true

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3 years ago

A video game system and several games are sold for $500. The cost of the game is 3 times as much as the cost of the system . Fin

Shalnov [3]

We have to start by creating an equation.

Cost of System = x
Cost of games = 3x

Thus x + 3x = $500

Now we find x.

4x = 500,
x = 500/4 = 125

So the system is 125,
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5 0

3 years ago

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