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-3x-3   Express in only positive exponent;   Remember x-1 = 1/x   so x-3 = 1/x3   so now sub x-3 in your equation   -3(1/x3)   -3/x3

50% of what number of salads is 10   This can be  rewritten as;   50% of x = 10   50/100 * x = 10   1/2 * x = 10   x/2 = 10   cross multiply;   x = 10 * 2   x = 20

Well if you're using the same kind of keyboard format as my laptop where the equals to (=) and addition (+) signs are toggled by the same key, the equation would then have to be;   (x-5)/(-2) = (x+1)/(-3)   we'd cross multiply   (x-5)(-3) = (x+1)(-2)   (-3x...

Cost = \$70; Selling price = \$182. a. Find the markup. b. Find the rate of markup based on cost.   Solution:   a) Markup price = Selling price - Actual price         Markup price = \$182 - \$70        ...

The two sides measure 33 inches and 56 inches. What should the measure of the hypotenuse be in order for this to be a right ?   Using Pythagoras theorem = a2 = b2 + c2   where a = hypotenuse, b & c = sides a = ? b = 33in c = 56in   we'd...

What percent of 20 is 5?   This can be rewritten as;   X% of 20 = 5   which would be;   x / 100 * 20 = 5   20x / 100 = 5   cross multiplying   20x = 100 * 5   20x = 500   x = 500...

240,000,000 × 0.000024               0.005   This can be written as;   24 × 107 × 24 × 10-6          5 × 10-3   24 × 24 × 10(7-6)      ...

If this is what you mean;   A + B + C = AB   C = AB - A - B   But if it is as is;   A + B + C + AB   A + B + C + AB = 0   A + B + C = - AB   C = - AB - A - B   which...

- 6 - 2(3x - 18) = 18   Using BODMAS   B - Bracket O - Order of D - Division M - Multiplication A - Addition S - Subtraction   we'll have to solve the brackets first.   - 6 - 2(3x - 18) = 18   - 6 - 6x + 36...

Simple Interest (I) =  Principle * Rate * Time   so I = PRT   P = \$47300 R = 3% = 0.03 T = 4months = 0.33years   so Assuming its per year after 4month   I = (47300)(0.03)(0.333333)   I = 472.999527   I...

Vertical line through the point (3, 7)   Recall the equation for every vertical line is the same which is represented as;                             ...

Length of train = 240m Speed of train = 20mps Time taken = 60 sec Distance travelled (length of tunnel) = Y   Speed = Distance / time   Distance = Speed * Time   In this case, we'd minus the length of the train too   So, Distance =...

-5n + 6 = 5n - 4   Bring like terms together;   -5n - 5n = -4 - 6   -10n = -10   divide both sides by -10 to find n   -10n / -10 = -10 / -10   n = 1

Total students = 626 Student Opposing = 292   we'll solve this as a ratio to find out how it pens down;   626 : 292   2.143 : 1   ≅ 2 : 1   so from this, 1 out of every 3 student opposed or would oppose the legalization of marijuana...

So you are given; √[(x2+y2)=4]   we'll break them down to various individual components;   √x2 + √y2 = √4   the squares cancel out the square roots and you find the square root of 4   x + y = 2       So...

Can holds =  4.1L   Plants watered = 6   Amount used per plant = 350ml   How many liters of water is left = ??   First lets convert ml to L   1ml = 0.001L therefore 350ml = 0.35L (used per plant)   To find the...

Well fractional exponent can be written as radicals and radical can also be written as fractional exponents. It is always easier to solve with radicals than with fractional exponents but in some situations, the latter can be preferred.   Here's some examples;   x½ is the...

-6(a+8) Expand the equation by multiplying -6   (-6)(a) + (-6)(8)   -6a - 48     Now if you are to solve for a, you'd have to make the equation equals to zero   -6a - 48 = 0   -6a = 48   a = 48 / -6   a...

58.52 is 22% of what number'   This can be rewritten as;   58.52 = 22% × 'Y'               .....................Y is the unknown number.   remember 22% = 22/100 => 0.22 so;   58...

Original Price of Freezer = \$620   Markup Percent = 25%   Final Price of Freezer = x   Solution   So the boss wants the final price to be 25% more of the original price. What you have to do is find 25% of the original price \$620 and add the...