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3 years ago

A cylinder has a surface area of 150π inches2 . What is its height if the radius is 5 inches?

Mathematics

2 answers:

Masteriza [31]3 years ago

8 0

15inches
Double the radius is 10 which is the diameter and 150π divide by 10π equal to 15 inches

Aloiza [94]3 years ago

8 0

Using the formula

h=(A/2πr)﹣r
Plug in the values in the equation
h = (150π/2π5)-5
(π would cancel π and 2×5=10. Therefore 150÷10=15)
h= 15-5
h = 10

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9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of

Kamila [148]

Answer:

The cost price of the article was Nu 1,000

The original selling price was Nu 1,120

The second selling price was Nu 1,200

Step-by-step explanation:

System of Equations

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

$x-y=0.12y$

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

$x+80-y=0.2y$

Let's put both equations together to form a system of equations:

$x-y=0.12y$

$x+80-y=0.2y$

Operating on both equations:

$x=1.12y$

$x=1.2y-80$

Equating both equations, we have an equation with only y's:

$1.12y=1.2y-80$

Subtracting 1.2y on each side:

$1.12y-1.2y=-80$

Operating:

$-0.08y=-80$

Solving:

$\displaystyle y=\frac{-80}{-0.08}=1,000$

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

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4 years ago

Help please !!! I don’t know what to do

Hatshy [7]

9514 1404 393

Answer:

6. x = 3

8. x = -7.5

Step-by-step explanation:

Put the number in place of the expression it is equal to, then solve for x.

6) g(x) = -x +5

2 = -x +5 . . . . . . . . . g(x) is replaced by 2, because g(x) = 2

x +2 = 5 . . . . . . . . . . add x to both sides

x = 3 . . . . . . . . . . . . . subtract 2 from both sides

8) n(x) = -2x -21

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3 = x +10.5 . . . . . . divide both sides by -2

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Additional comment

We have shown a couple of ways these equations can be solved. You can separate the x-term and the constant terms before you divide by the x-coefficient, or you can do it after. In the first equation, we could have solved it ...

2 -x +5

-3 = -x . . . . subtract 5

3 = x . . . . . . multiply by -1

The way we did it avoids negative numbers.

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