can someone help me with this i am lost now i've been doing math for the past 8 hrs.
Problem # 1
solve: 4(x-10)-3x=x-40
Problem # 2
solve for t:
a = p + prt
Problem#3
translate to an algebraic equation
7 less than the quotient of a number and 3 is twice the same number
problem one cannot be solved.
a-p= prt divdie both sides by pr.
three; n/3 - 7 = 2n
can you show me the number 2
a=p + prt
i don't see what you mean....
a-p=prt
a-p/rt = t
do i leave it like this is this what you mean
Of course, I'd be happy to help you with these math problems.
Problem #1:
To solve the equation, 4(x-10) - 3x = x - 40, you need to simplify the equation first by distributing the 4 and simplifying the expressions on both sides of the equation. Here's how you can do it step by step:
1. Distribute 4 to the terms inside the parentheses:
4(x-10) - 3x = x - 40
4x - 40 - 3x = x - 40
2. Combine like terms on both sides of the equation:
x - 40 = x - 40
3. Subtract x from both sides to isolate the variable:
x - x - 40 = x - x - 40
0 - 40 = 0 - 40
4. Simplify and solve:
-40 = -40
In this case, the equation simplifies to -40 = -40. Since the left and right sides of the equation are the same, the solution is all real numbers. Therefore, problem #1 has infinitely many solutions.
Problem #2:
To solve for t in the equation a = p + prt, you need to isolate the variable t. Here's how you can do it step by step:
1. Take out the common factor of t:
a = p + t(rp)
2. Subtract p from both sides to isolate the t(rp) term:
a - p = t(rp)
3. Divide both sides by rp:
(a - p)/(rp) = t
So, the solution for t is given by the expression t = (a - p)/(rp).
Problem #3:
To translate the given statement, "7 less than the quotient of a number and 3 is twice the same number," into an algebraic equation, you can follow these steps:
1. Let's assume the number we're looking for is represented by 'n'.
2. The quotient of 'n' and 3 is (n/3).
3. Subtract 7 from the quotient (n/3) to get (n/3 - 7).
4. Finally, translate the statement "is twice the same number" to algebraic expression: 2n.
Combining these parts, the algebraic equation would be:
(n/3 - 7) = 2n.
Now, regarding your question about showing you the number 2, it seems like you might be referring to a different problem, but I don't have enough context to provide an answer. Could you please clarify what you mean by "show me the number 2"?
Regarding the equation a-p/rt = t, it seems like there might be a formatting or grouping issue. If you could provide more context or clarify the equation, I'd be happy to assist you further.