You have 2 variables in this equation which means that you cannot solve it without another equation. Unless you are trying to solve the equation for on of the variables so you can plug values in?
Once you find the LCD, which you have done correctly, you have to multiply the numerator and denominator of each by the same factor:
2x (x-8) + 5 (3x)
3x (x-8) x-8 (3x)
2x2 - 16x + 8x ...
Factoring by grouping is convenient when there is no common factor among all your terms.
Take for example:
xy + 2y + 3x + 6
There is nothing common to all 4 of these terms, so we can try to factor by grouping instead.
Split the quadratic into 2 groups:
You can expand binomials using Pascal's Triangle to find the exponents
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1 n=6
This can be formed by starting with 1, then row 2 is 1,1, then the two ones...
The zero product property says that anything times zero is zero
So to make this equation equal zero, either (d+3/4) or (d+5/8) must be zero
We set both equal to zero, because either value for d will be correct.
d+3/4=0 d= -3/4
Simple interest uses the formula: I=Prt
Where I=interest, P=principle, r=rate, and t=time
So we're looking for I, P=1000, r=.082 and t=1.5
Multiply to find your answer
This question requires that you apply the Ideal Gas Law, which states:
Where P is pressure in atmospheres (1.25 atm)
V=volume in liters (240 L)
n=number of moles of gas (what we're looking for)
R= the ideal gas constant (.08206 L·atm·mol−1·K−1)
and T= temperature...
Clifford that equation is so close, you pretty much have the basics down.
In the question you said .07/mile, but in the answer you gave .70, so I'll go with .70 and you put whichever one is right in your answer.
You have 36.50, so it would be 36.50=, you have that part right.
We need to translate the words in this problem into some form of equation:
If 5 times A's salary= 5*A or 5A
exceeds twice B's by 6400= is more than 2B by 6400= 2B+6400
So, 5A= 2B+6400
Then, we set up another equation:
4 times A's salary= 4A
Let's break this down and set up an equation:
The square of a number-let's call this number x, so the square of x is x squared (x2)
Then it says plus the number, still x, so +x
Now we have x2+x=72.
To solve this we need to make the equation equal to zero, so...
First, we need to write an equation using variables for the number of adults and the number of children, and the total admission fees.
I personally would pick A=the number of adults, C=the number of children, and T=total $ so that they're easy to remember.
Then we write...
A) A linear equation is written in the form y=mx+b, here we are substituting C (total cost) for y and n (number of toys) for x.
The total cost to develop n toys would be the initial development cost plus the manufacturing cost of each toy.
m is going to equal the cost to...