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To find the percentage of female attendees, divide the number of female attendees by the total number of attendees then multiply by 100 to get percentage.
= 52.97%

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Try this:
Rewrite the second term.
Perform the indicated subtraction.
Factor out a 3 in the numerator.
Cancel the common factor (3m-1).
The answer is 3

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Let x = the number of kilometers in the total trip.
Multiply both sides of the equation by the multiplicative inverse of which is.


Total trip is 100 km.

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To solve this for F, all you do is rearrange the equation so that F = something.
Multiply both sides of the equation by the multiplicative inverse of which is.
Now add 32 to both sides.
or
...and there it is!

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First, you'll need to find the volume of the cylindrical tank. Then, you'll need to find the density (gallons/cubic foot) of water. Your answer will be the product of these two quantities.
Using: r = 12 ft. and h = 30 ft.
Using as an approximation.

cubic feet.
Density of water:
7.48 gallon(U.S. liquid) per cubic foot.
Capacity of tank:

C = 101,465 gallons of water.

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Yes, it does make sense. You are being asked to find the "cube root" of
The "cube root" sign uses the same "radical" sign as the square root, but with a little 3 in the front.
You can also write the cube root as an exponent, thus:
You can rewrite this expression as factors.
= Multiply the exponents to get:
The answer is:

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Let the sum of Adam's seven test scores = x. Let's find the sum.
Multiply by both sides by 6.

The sum of Adam's seven test scores is 504. To find the correct average, you'll divide this sum by the number of scores, or 7.
Let A = Adam's correct average.


Adam's correct average test score is 72.

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2)Simplify:
Rewrite the numerator.
Factor the numerator.
Cancel the (2y+1)'s in the top and bottom.
This is it!

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Let the width of the walkway = x ft.
The total area, A, of the garden plus walkway can be expressed in terms of x as follows: A = L*W
Perform the indicated multiplication.
The total area is given as 8000 sq.ft., so:
Subtract 8000 from both sides of the equation.
Solve this quadratic equation for x. First factor out a 4.
Apply the zero products principle.
Solve using the quadratic formula:



= -38.86 Discard this negative solution.
= 3.86 ft.
The walkway is 3.86 feet wide.

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First of all, this "equation" is an "expression" and I expect the directions are to..."simplify this expression"
First, simplify the numerator.
Now divide the numerator by the denominator by changing the sign to multiply and inverting the denominator.
Now cancel the b's
...and there you have it!

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Solve:
Subtract 3x from both sides.
Factor out an x.
Apply the zero products principle.
and/or so
The two roots are:

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Simplify:
First, factor out -1 from the top and the bottom.
Next, cancel the -1's
Now factor the top and the bottom.
Cancel the 's
This is it!

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Well, you can not really solve for b unless you have an equation. What you have here is an expression and expressions can be simplified or evaluated, but not "solved"
Now, if your problem were stated as an equation such as:
Then this can be "solved" Perhaps you have left something out of your problem statement!

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This problem is largely an application of the distributive property.
Apply the disributive property.
Combine like-terms.
Add x to both sides of the equation.
Add 13 to both sides.
Divide both sides by 4.

Answer is: x = -2

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First, Kina tried to add un-like terms (-15q+15) does not equal q, it equals (-15q+15). When she used 150 to check her solution, it would appear to have checked out because she would have ended up with: -2250<135 and this is true.
What Kina should have done is divide both sides of the inequality by -15 and, in doing this, she also should have reversed the order of the inequality.
Divide both sides by -15 and reverse the order of the inequality.

To check her solution, Kina should try a number that is greater than -9 because her solution is the set of all numbers greater than -9.
Try -5:

It checks!

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Simplify:
You started out just fine by combining like-terms.
Then something went awry! You probably missed the 1 in front of so that and I don't see where the -5 came from. It should be:

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Because the absolute value of a number is defined to be the distance of that number from zero on the number line. And distances are positive.

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Well, you must be studying a new theorem because I've never heard of the "Pangerium theorem"! Perhaps you meant to write "Pythagorean theorem" but if the problem is to find the area of the triangle, you don't need to find the height since you are given the lengths of the three sides. You can use Heron's formula for finding the area if you know the lengths of the three sides. a = 13, b = 14, and c = 15
Heron's formula:
Where: S is the semi-perimeter of the triangle and a, b, and c are the lengths of the sides.








sq.units.
But now, let's try to find the height of the scalene triangle. The base is 14, so when we drop a perpendicular line from the vertex angle to the base, the base is split into two unequal parts.
Let's label one part x. The other part will then be 14-x. So we now have two right triangles whose dimension are:
1) Hypotenuse = 13, base = x, and the height = h.
2) Hypotenuse = 15, the base = 14-x, and the height = h (same as the h above)
Now we can use the Pythgorean theorem to find the height, h.
For triangle 1):
Solve this for .


For triangle 2):
Solve this for .

Simplify.
But , so...
Simplify and solve for x. Add to both sides.
Subtract 29 from both sides.
Divide both sides by 28.
or Now substitute this value into one of the two equations for and solve for h.



Take the square root of bothsides.
Discard the negative solution as the height can only be positive.
So, finally, we have the height of the scalene triangle and now we can find the area using: where b = 14 and h = 12.

sq. units.

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You can multiply these binomials using the method known as FOIL which stands for First, Outer, Inner, Last.
=

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This is a variation an old story.
By placing 1 penny on the first square, two pennies on the second square, three pennies on the third square, etc, Farmer Brown is creating a geometric sequence in which each term can be represented by: (an) where n = the ordinal number of the term. So, a(1) is the first term, a(2) is the second term, etc.
The nth term of such a sequence is given by: where a(1) is the first term and (r) is the common ratio and is found by.
In this problem, r = 2 and a(1) = 1 (penny)
The 32nd term would be = and, since this is the number of pennies, this would amount to $21,474,836.48
Note: a(1) means... a sub 1

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You can solve inequalities such as this much like you would solve equations.
Subtract 2x from both sides of the inequality.
Subtract 1 from both sides.
Finally, divide both sides by 3.
or

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Imaginary numbers: In math, the lower-case letter i is used to stand for the square root of -1, thus:
If you multiply i times i or this is the same as multiplying = -1 so you can see that
Now if you keep doing this, that is, find ,,, you begin to see a definite pattern:


=
= =
=
= =
= ...and so on.
Do you see it? Sometimes it's helpful to constuct a table for the values of for different values of n:
n----
--------------
1.....i
2....-1
3....-i
4.....1
5.....i
6....-1
7....-i
8.....1
9.....i
10...-1
11...-i
12....1
and so on
As for the number in front of the i's in your problem, you just multiply by that number. For example:
=
= 8

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Use the Pythagorean theorem to determine the length of the hypotenuse, c.




The length of the hypotenuse is 25cm.

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Notice that the first term and the last term are both perfect squares: and respectivley. This would suggest trying the following:
as the factors.
Check using FOIL.
=
The factors are:

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Use the distance formula: where: d = distance traveled, r = rate of travel (speed), and t = time of travel.
For the east-bound plane: d1 = 550 mph(t)
For the west-bound plane: d2 = 500 mph(t)
But: d1 + d2 = 2100 miles, so:
550(t) + 500(t) = 2100 Solve for t.
1050(t) = 2100 Divide both sides by 1050
t = 2 hours.

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Any number to the zero power is 1: Example;
and But take note:
and

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Well, you're almost there!
Simplify.

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Solve:
Multipy both sides of the equation by 3 to clear the 1/3 fraction
Simplify.
Multiply both sides by 2 to clear the 1/2 fraction.
Simplify. Apply the distributive property to the left side.
Subtract p from both sides.
Subtract 42 from both sides.

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You can let M = the number of miles driven.
= 24 MPG

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Solve:
Add 4p to both sides of the equation.
Add 6 to both sides.
Finally, divide both sides by 2.

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Find the vertex and the x-intercepts of:
The quadratic equation is in standard form: where: a = -3, b = 6, and c = 0
The x-coordinate of the vertex is given by:




The y-coordinate of the vertex is found by substituting the x = 1 into the original equation and solving for y.



The vertex is at (1, 3)
The x-intercepts are found by setting y = 0 in the original equation and solving for the x-values.
Factor an x
Apply the zero products principle.
and/or
One of the x-intercepts is x = 0
The other one is found from:
Subtract 6 from both sides.
Divide both sides by -3.

The x-intercepts are:
x = 0 and x = 2
Here's the graph of the parabola: