helperid1839321

There are 2 possibilities I see here. I'll solve both.

a) \(2(2-\frac{x}{5})+1\)

First, distribute the parenthesis. That is, multiply the number before the parenthesis by each term inside it 2 and \(\frac{x}{5}\)

We get: \((4-\frac{2x}{5})+1\)

We can now discard the parenthesis and combine like terms: \(5 - \frac{2x}{5}\)

If we want to get a single fraction, we can multiply the 5 by the denominator, placing the value on top as we do so: \(\frac{25-x}{5}\)

b) \(2(\frac{2-x}{5})-1\)

Let's start, again, by distributing the coefficient of the parenthesis: \(\frac{4-2x}{5}-1\)

Now, we put the -1 into the numerator: \(\frac{4-2x-5}{5}\)

Combining like terms, we get: ​\(\frac{-1-2x}{5}\)

Does that help?

12 = 12/1

Multiply the numerators and the denominators:

(12 * 8) / (9 * 1)

Type that in and see what you get.

Simple: Put the numerator in parenthesis, press /, then type the denominator in parenthesis.

= (19/5)²

3(5) = 15 + 4 = 19

of means multiply

(19/5)² = 361/25 = 14.44

= \(\frac{1+\sqrt{5}}{2}\)

It's the Fibonacci sequence! The geometric difference between the numbers is asymptotic to the above: 1/1, 2/1, 3/2, 5/3, 8/5, etc. To get the next number in the series, simply take the sum of the previous 2.

The shape is a quadrilateral with at least one set of parallel sides, or a triangle. Technically, a tirangle is a trapezoid with the shortest base having a length of 0.

Additionally, not enough information is given to solve, and the equation for area is:

\(area = \frac{b1 + b2}{2} * h\)

4% as a decimal = 4/100 = 0.04

Multiply 5000 by 0.04, that is your answer.

The above simplified is: 4y - x = 1

                                      2y + x = 5

These 2 equations are in standard form. Let's use a method to solve it without changing them at all.

Add the 2 equations together, keeping the variables on the same side:

 Divide each side by 2, y = -2

Put the solution for y (-2) back into each equation. Then, solve for x.

If you had needed or wanted to, you could have multiplied the bottom equation by -2 to eliminate y, then solve for x. You can multiply both equations by numbers, as long as you remember to multiply both sides by that number.

pH = negative log₁₀ of the hydronium ion concentration in a solution

concentration of hydroxide = concentration of hydronium @ pH = 7

Multiply 7 by 2 (so when the 2 are added up, it equals 14)

Subtract 11.3 from 14, that is the hydroxide concentration

I trust you can do the above subtraction on your own.

of means multiply

18% as a decimal = 0.18

300 * 0.18 = 3 * 18 = 54

Your answer: 54