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GAC:
Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations using elimination to find how many of each kind of bill she has.

"x" number of one dollar bills
"y" number of five dollar bills

She has 14 bills:
x+y=14

The value of the bills is $30:
x*1$ + y*5$ = 30$
x + 5y = 30

so that's two equations for two unknowns (x,y):
x + 5y = 30 and x+y=14

Solve:
x+y=14 equals x=14-y
insert this for "x" into the other equation:
(14-y) + 5y = 30
14-y + 5y = 30
14 + 4y = 30
4y = 30-14
4y = 16
y = 16/4
y = 4 , so that's 4 times a 5 dollar bill

insert y into second equation:
x=14-y
x=14-4
x=10 , so that's 10 times a 1 dollar bill

test:
10*1 + 4*5 = 30 (check)

[input]x+5y=30, x+y=14[/input]

adminJul 10, 2013

GuestJul 10, 2013

this can be 0.040000m² if squared

GuestJul 10, 2013

fatim fatim fatim. Even you need to type the other answer

GuestJul 10, 2013

Answer Is = ( 16*64)^0 + 64^ 2/3

f(x) = 1+ \sqrt[2/3]{4^3}

= 1 + (4^{3})^\frac{2}{3}

f(x) = 1 + 16

Having issue with Algebra Help - http://math.tutorvista.com/algebra.html continue studying my future answers.

GuestJul 10, 2013

the radius is the square root of 121

GuestJul 10, 2013

Ans:- A set A is said to be a subset of a set B, if every element of A is also an element of B. In other words, A⊂B if whenever a∈A, then a∈B. It is often convenient to use the symbol ⇒ which means "implies".

For A to be a subset of B, all that is needed is that every element of A is in B. It is possible that every element of B may or may not be in A. If it so happens that every element of B is also in A, then we shall also say that B ⊂ A. In this case, A and B ate the same sets, so that we have A ⊂ B and B ⊂ A ⇔ A = B, where ⇔ is a symbol for two way implications and is usually read as “if and only if” and briefly written as “iff”

Every set A is a subset of itself, i.e., A ⊂ A. An empty set has no elements. So, a null set is a subset of every set. Let the set Q of rational numbers is a subset of the set R of real numbers and so, we could write Q ⊂ R.

If A is the set of all divisors of 56 and B is the set of all prime divisor of 56, then B is a subset of A and we write B ⊂ A. Let A = {1, 3, 5 } and B = {x : x is an odd natural number less than 6}. Then, A ⊂ B and B ⊂ A and hence A = B.

Let A = {a, e, i, o, u} and B = {a, b, c, d}. Then, A is not a subset of B and B is not a subset of A.

Solved Example

Question: A = {1, 2, 3, 4} and B = {2, 3, 4, 5, 6, 7}. Is set A a subset of B?
Solution:
Given that A = {1, 2, 3, 4} and B = {2, 3, 4, 5, 6, 7}. We know that A is said to be the subset of B if every element of A is also in B. But, there is a number 1 in the set A which is not in B. So, A is not a subset of B.

Solve all your Subset Definition - http://math.tutorvista.com/discrete-math/subset.html problem with me.

GuestJul 10, 2013

Answer :- 25/2

GuestJul 10, 2013

Answer Is 7

GuestJul 10, 2013

Answer :- denom ----- number ----- worth ----- total
$1 ------------- x -------------- 1 ----------- x
$5 ------------- y -------------- 5 ---------- 5y

x + y = 14
x + 5y = 30

4y = 16
y = 4
x = 10

10 $1 bills
4 $5 bills

GuestJul 10, 2013

Jul 9, 2013

If the rail gun works by causing a constant acceleration to a projectile that starts at velocity zero, then the equations for gravitational acceleration will work. The given distance equals gt(squared)/2 and the given speed equals gt, (Time t in seconds and acceleration g in m/sec(squared), and the given units for distance and speed.) So solve those two equations and you would have your answer for both g and t. (I got 7.5 ten-thousandths of a second for time, and 2.667 million meters per second-squared for the acceleration.) The reason this works can be found in any book on elementary (one-variable) integral calculus, or from a tutor.

GuestJul 9, 2013

plus or minus 4

GuestJul 9, 2013

10% of 3 million = 10/100 * 3000000 = 1/10 * 3000000 = 300000 = three hundred thousand

GuestJul 9, 2013

Jul 8, 2013

Math Gig 101:
Why Do You Want it Off the board?

I don't want it off the board. I wasn't the one who locked it in the first place. But it's unlocked now, so it doesn't matter.

GuestJul 8, 2013

+3146

18 divided by 2 plus 9 over 24 divided by 2 squared plus 12 divided 8 minus 5

[input]18 / 2 + (9 / 24 ) / 2^2 + 12 / 8 - 5[/input]

adminJul 8, 2013

Why Do You Want it Off the board?

GuestJul 8, 2013

+3146

[input]-5*(sqrt4(81))-(-3)*2^3 / (-sqrt(9)) - (-1)^0 - 3^2 +8-2^3 * sqrt(4)[/input]

-5*(3)-(-3)*8 / (-3) - 1 - 3^2 +8-8 * 2
-15+24 /(-3) - 1 - 9 +8-16
-15-8 - 1 - 9 +8-16
-15-8 - 1 - 9 +8-16
-41

adminJul 8, 2013

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