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The volume of a cylinder is
where
R= the radius
H = Height.
Pi is a constant.
R = 1/2 of the diameter = 8 / 2 = 4 cm
H = 3 cm
So = 150.72
answer = 150.72

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Ok....
Mount Everest = E
Let K2 = K
E = K + 237
Sum of both mountains is a total height of 17459
Our eqauation is E + K = 17459
So we subtitue E with (K + 237)
so our eqaution now looks like this:
Let solve for K
Lets combine Terms on the left side of the equation
Now Subtract 237 from both sides =
Sow we divide both side by 2 =
So we now know K2's height is 8,611 Meters
So Mount Everest = 8,611 + 237 = 8,848 Meters
Check 8,611 + 8,848 = 17,459

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7*(.10) + 3*(.25) + 6*(.05) = .70 + .75 + .30 = 1.75

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= 3, a negative divided by a negative is a positive

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Ok..
, find common denominator for the right side, by looking at the right side we see it is 4. so: the equation becomes now we combine terms on the right side now we multiply each side by 4 to get reduce to lowest terms we get 3y=3 now divide each side by 3
answer Y=1

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Ok..
We start with B, B = 2*S
A = 2+2*S
F= 2(2+2*S)
S= 2(2+2*S)-40
We now have the formula for all the ages.
Lets solve for S

Now we distribute

Now we combine Terms

Add 36 to each side:
=
Lets subtract s from each side to get =
Now lets divide each side by 3: =
So now we Know the Age of the Sister (s) = 12
so we know A = 2 + 2S, so we substitute in the 12 to get 2 + 2*12 = 2 + 24 = 26
so we know A's age is 26
B = 2*S = 2*12=24 So B's Ages is 24
F = 2(2+2*S) = 2(2+2*12) = 4+48 = 52
Check:
A is elder to B by two years, yes A=26, B=24
A's father F is twice as old as A, yes A=26 F=52
B is twice as old as his sister S, yes B=24 S=12
father and sister differ by forty years, yes S=12 F=52

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This is a right triangle problem so we can use the Pythagorean Theorem that says:
We know the ladder is 17 Ft. Tall and leaning against the wall and the bottom of the ladder is 7 Ft out from the wall.
So we will make the height of the wall where the top of the ladder is = A
The distance (7 Ft.) from the wall out to the bottom of the ladder = B
and the length of the ladder (17 Ft.) = C
So A & B are legs on the right Triangle and C is the hypotenuse of the Triangle.
Now we can solve the problem.
We now put the numbers in for the variables we know and the equation looks like this:
Now we solve the equation, lets isolate A^2 by subtracting 7^2 from both sides:
so this becomes
Now lets sqaure our numbers so: or
Now lets lets get rid of the square on the A by taking the square root of both sides so: =
Now we know the ladder is 15.49 Ft. up the side of the building.
Lets check it with our formula
= = We will round up to 289. Close enough for goverment work.

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Let:
x = Cement
y = Gravel
x + y =140
We also know that the cement is 3 times as much as the gravel, so:
x = 3y
So now substitute in the equation x + y = 140 and it becomes:
Combine Terms

Divide both sides by 4

so the Gravel weighs 35 pounds. We know there is 3 pounds of cement for every pound of gravel, so"

so the cement = 105.
Answer"
35 Lbs. of Gravel
105 Lbs. of Cement

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Find common denomiator to the top part of the equation. This case it is 10.
So we take = =
Dividing by a fraction is the same as multiplying by the reciprocal of theat fraction so this = = Divide top and bottom by 15 and we get
Answer =

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7 credits per quarter = 7 x 4 = 28
She took 5 + 7 + 8 = 20
28 - 20 = 8
she must take 8 credits in the 4th quarter to remain on Financial Aid

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P is the principal amount, $2000.00.
r is the interest rate, 6.5% per year, or in decimal form, 6.5/100=0.065.
t is the time involved, 1.5....year(s) time periods.
So, t is 1.5....year time periods.
To find the simple interest, we multiply 2000 × 0.065 × 1.5 to get that:
The interest is: $195.00

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This is a permutation and combination problem. I'll Give you the answer, but you need to read about these two subjects.
Permutation Part
Now we have 10 players and want to make groupings of 5 people. It's harder to list all those permutations. To find the number of five-people permutations that we can make from 10 people without repeated (10_P_5), we'd like to have a formula because there are 30,240 such permutations and we don't want to write them all out!

For five-people permutations, there are 10 possibilities for the first person, 9 for the second, 8 for the third, and 7 for the fourth, and 6 for the last person. We can find the total number of different five-people permutations by multiplying 10 x 9 x 8 x 7 x 6 = 30,240. This is part of a factorial
To arrive at 10 x 9 x 8 x 7 x 6, we need to divide 10 factorial (10 because there are ten objects) by (10-5) factorial (subtracting from the total number of objects from which we're choosing the number of objects in each permutation). You can see below that we can divide the numerator by 5 x 4 x 3 x 2 x 1:
10_P_5 = = = =

Combination Part
we have 10 people from which we wish to choose 5 and we want to find the number of combinations of size 5 without repeated people that can be made from the ten people. To calculate 10_C_5, which is 120, we don't want to have to write all the combinations out!
Since we already know that 10_P_5 = 30,240, we can use this information to find 10_C_5. Let's think about how we got that answer of 30240. We found all the possible combinations of 5 that can be taken from 10 (10_C_5). Then we found all the ways that five people in those groups of size 5 can be arranged: 5 x 4 x 3 x 2 x 1 = 5! = 120. Thus the total number of permutations of size 5 taken from a set of size 10 is equal to 5! times the total number of combinations of size 5 taken from a set of size 10: 10_P_5 = 5! x 10_C_5.
When we divide both sides of this equation by 5! we see that the total number of combinations of size 5 taken from a set of size 10 is equal to the number of permutations of size 5 taken from a set of size 10 divided by 5!. This makes it possible to write a formula for finding 10_C_5:
10_C_5 = = = = = =

So the answer is:
You can have 252 starting teams of five from a group of 10 players.

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Here you go:

Lets first simplify by multiplying:
} Here we multiplied each factor in the (4-X)by -.4
Now combine terms:
=
Now add 1.6 to both sides to get:
Now divide both sides by .7 to get
Answer
X=9

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Sure:

Now lets get rid of the by multiplying both sides by
So we get
this gives us simplify to
Amswer = X=49

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Solving linear inequalities is very similar to solving linear equations, except for one detail: you flip the inequality sign whenever you multiply or divide the inequality by a negative.





Neither of these examples required us to flip the inequality sign. Remeber, you flip the inequality sign whenever you multiply or divide the inequality by a negative.

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Standard form is scientific notation, using the base of 10.
so your problem is (6 *.1) + (5 *.001) + (7 * .0001) = .6057
We rewrite it in Standard form as
Which means we moved the decimal 4 places to the right.
we could also have written it
Which means we only moves the decimal 1 place to the right.

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The rules of addtion and subtraction say that when you are subtracting a negative number you add it.

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Your not considering your signs when you do your addtion and subtraction.

When you subtract a negative number it is the same as adding it, so:

watch your signs, it can get tricky when you go to fast. Remember when subtacting a negative number you add it.

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1/2*(4x-6)=4
Multiply the equation on the left side by So you get"

Then add 3 to each side to get:
Divide both sides by 2 to get
Answer:
3.5

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Divide .004 by 100 = .00004%

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Must find common denominator, in this case it is 80.
so we have becomes
then we add and subtract to get reduce to lowest terms by dividing top and bottom number by 2 to get
Answer:

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If the sum of two angles equals 90°, they are called complimentary angles.

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If the sum of two angles equals 90°, they are called complimentary angles.

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just substitute and factor

We put in the 6 for the x value
The formula then becomes

Now do the equation, multiply each factor on the left side by 2:

Now subtract 12 from borth sides:

divide out the -2 from both side of the equation: Remember a negative number divided by a negative number is a positive number.

Answer y = 2

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I assume the you mean the tiles are 1 ft. x 1 ft. and the room is 10ft. x 14 ft.
So the square feet of 1 tile is 1 sq. ft.
The square footage of the room is 140 Sq.ft.
so: 140 sq.ft / 1 sq.ft/tile = 140 tiles
answer:
You need 140 tiles

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This problem is a trigonometry problem using triangles:
It involves the use of Pythagorean Theorem, which says: "In algebraic
terms, where c is the hypotenuse while a and b are the
sides of the triangle.
Think of the basball diamond as a square, and at each base a corner of
the square with each corner being a 90 degree angle. So if we draw a
line from third base to first base we cut the square in half.
We now have two right triangles.
The first leg of the triangle is from first base to second base, the
second leg of the triangle is from second base to third base and the
distance from third base across the field to first base is the hypotenuse.
we can now solve this problem.
Distance from First to Second = 90 Ft., we will call this A
Distance from Second to Third = 90 Ft., We will call this B
Throwing distance from third to First = ?, We will call this C
So we know that
So we subsitute the numbers we know:

So squaring the numbers we get:
We then take the square root of both sides to get


127.28 = C
So the answer to the nearest Ft. is 127 Feet. Is how far the 3rd. Baseman threw the ball to the fist baseman

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Let X = dimes
Let Y = Nickels
We know Y = 3X
We also know that .10 = Dimes and .05 = Nickles
So X+Y=1.50
We substitue the following:
.10X + 3(.05X)=1.50
.10X + .15X = 1.50
.25X = 1.50
Divide both sides by .25
X = 6 Dimes
So we know we have 3 times as many nickels as dimes, 6 x 3 = 18.
Answer:
6 dimes = .60
18 Nickels = .90
Total = 1.50

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Example :


Answer (5,-2)

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+36 / -6 = -6

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Ok We will call the bonds X and the CD's Y
We know that X + Y = 20,000
we also know that X = Y + 3,000
so lets solve the equation:
Y + 3000 + Y = 20,000
Combine terms:
2*Y+3,000=20,000
Subtract 3000 from both sides results: 2*Y=17000
Divide both sides by 2 results: Y = 8,500
so if Y = 8,500, we know X = Y + 3000, so X = 8500 + 3000 = 11,500
So bonds = 11,500
And CDs = 8,500
For a total of 20,000