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lubasha [3.4K]
4 years ago
5

Solve the equation above

Mathematics
1 answer:
saveliy_v [14]4 years ago
5 0

Answer:

X = -2

Step-by-step explanation:

1/2 X (5X-8) = -9

multiply both sides of the equation by 2

2 X 1/2 X (5X - 8) = 2 X (-9)

1 X (5X - 8) = 2 X (-9)

Reduce the numbers with the greatest common divisor 2

5 x -8 = 2 x (-9)

5 x -8 = -18

Move constant to the right by adding its opposite to both sides

5X -8 + 8=-18 + 8

Then eliminate the opposites

5X = -18 + 8

Calculate the sum

5X = -10

Divide both sides of the equation by 5

5X DIVIDE 5 = -10 DIVIDE BY 5

X = -10 DIVIDE BY 5

X = -2

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A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is
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Answer:

The diameter is twice that, or approx. 7.90 units.

Step-by-step explanation:

the equation for the volume of a cylinder of radius r and height h is

V = πr²h.  Here we need to calculate the diameter after having found the radius.  Solving V = πr²h for r², we get:

           V

r² = -----------

         πh

Substituting the given values, we obtain for r² the following:

         145 units³

r² = ------------------------  = 15.6 units²

       3.14159(5 units)

Taking the square root of both sides, we get:

r = √15.60, or approx. 3.95 units.

The diameter is twice that, or approx. 7.90 units.

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Two less than seven times a number c is written as
Savatey [412]

Answer:

7c-2

Step-by-step explanation:

Let c be the number.

We are asked to write an expression for given verbal description.

7 times the number c would be 7c.

Two less than seven times a number means 2 subtracted from 7c.

Two less than seven times a number c would be 7c-2.

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The price of 2 dozen cobs of corn (which is 24 cobs) is $7.20. Joanna want to buy just 3 cobs of corn. How much will she pay?
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If f(x) varies directly with x and f(x) = 72 when x = 6, find the value of f(x) when x = 3.
yaroslaw [1]

Answer:

36

Step-by-step explanation:

Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.

Given that f(x) is 72 when the value of x is 6.

This implies, \[72 = k * 6\]

Simplifying and rearranging the equation to find the value of k:

k = \frac{72}{6}

Hence k = 12

Or, \[f(x) = 12 * x\]

When x = 3, \[f(x) = 12 *3 \]

Or in other words, the value of f(x) when x=3 is 36

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4 years ago
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