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3 years ago

10 is what percent of 60

2 answers:

8 0

Is means equal
x percent is x/100
of means multiplication

So translating what you were given:

$\sf{10=\frac{x}{100}\times60}$

Solve for x

$\sf{10=\frac{60x}{100}}$

Simplify it

$\sf{10=\frac{3x}{5}}$

Multiply both sides by 5/3 to isolate x

$\sf{x=\frac{50}{3}}$

Your final answer is

$\huge{\boxed{\bf{10~is~16.67~percent~of~60}}}$

gogolik [260]3 years ago

7 0

Answer: p = 16.66%

Step-by-step-Explanation: The easiest way to solve this is by setting up a proportion. A proportion is simply a pair of equal ratios or two fractions that are equal to one another.

In this case we don't know what the percent is but it's important to understand that percent means out of 100 so our denominator for the first fraction is going to be 100. Since we don't know what the percent is since it's asking us to find the percent, we can represent this as a variable. A variable is a letter that represents any number so let's use p.

So we have our first fraction which is $\frac{p}{100}$ and in a proportion the fractions are equal to one another so we will put an equals sign. Our next fraction is going to be is over of. We can determine which is going to be the is and which is going to be the of by looking at the keywords.

So it says 10 is what percent of 60 so it's already telling us that 10 is going to be the is and 60 is going to be the of. So it will be $\frac{10}{60}$ and we know have two fractions or 2 ratios and it is $\frac{p}{100} = \frac{10}{60}$ .

In order to solve for p we will use cross products so we multiply p by 60 and 10 by 100 so we get 60p = 600.

Now we divide both sides of our equation by 60 in order to isolate p and we find that p = 16.66. In most cases you will round to the hundredths place so we can say that p is equal to approximately.

This means that 10 is approximately 16.66% of the number 60.

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Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month

viktelen [127]

Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
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Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
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Now plug x=10 into our original profit function in order to find our maximum profit:
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3 years ago

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Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1). First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4. Using point-slope form,

$y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1$

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2. To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2. Using point-slope form,

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#5) Two lines with the same slope are always parallel. They are never perpendicular.

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