Answer:
Infinite number of solutions
Step-by-step explanation:
when you solve for V, you notice that the term in "v" goes away, and you end up with a true statement:
2 = 2
This is a true statement no matter what values the variable V has, so it is true for all possible (infinite) values of "v".
Answer:
Step-by-step explanation:
First, turn the word problem into an equation:
n(a number) was divided by 2
followed by this quotient beying multiplied by 4
*4
the product was added to 9
*4+9
the total sum was 25
*4+9 = 25
use PEMDAS to solve the equation
subtract 9 on both sides
*4 = 16
cancel the 2 and the 4 using factorization
n*2 = 16
divide 2 on both sides
n = 8
To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:
-(4x + 17) + 3(7-x)
To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.
-4x - 17 + 21 - 3x
Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.
-7x + 4 (your answer)
Now, we can move on to question 22 and solve it in a similar manner:
7(2n-8) - 4(12 - 8n)
Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.
14n - 56 - 48 + 32n
Next, we will combine like terms (add the n terms together and subtract the constant terms).
46n - 104
Now, we can solve problem 23:
8 + 2(5f - 3)
We will again distribute through the parentheses:
8 + 10f - 6
Combine like terms after that:
10f + 2
Therefore, your answers for the three problems are as follows:
21) -7x + 4
22) 46n - 104
23) 10f + 2
Hope this helps!
F:m:s=4:5:7
s=f+18 and from above we see s/f=7/4 so s=7f/4 now we can say:
f+18=7f/4
4f+72=7f
3f=72
f=24 and we know s=f+18 so
s=42
m/s=5/7 so m=42*5/7=30
So Frank got 24, Mary got 30, and Seth got 42.
