For this problem plug in the given x and y values:
For the first one: No
second one: No
third one: Yes
fourth one: No
Answer:
(4, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equation using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
2x - 3y = 5
4x + 2y = 18
<u>Step 2: Rewrite systems</u>
2x - 3y = 5
y = 9 - 2x
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: 2x - 3(9 - 2x) = 5
- Distribute -3: 2x - 27 + 6x = 5
- Combine like terms: 8x - 27 = 5
- Add 27 on both sides: 8x = 32
- Divide 8 on both sides: x = 4
<u>Step 4: Solve for </u><em><u>y</u></em>
- Define: 2x - 3y = 5
- Substitute: 2(4) - 3y = 5
- Multiply: 8 - 3y = 5
- Isolate <em>y</em> term: -3y = -3
- Isolate <em>y</em>: y = 1
And we have our final answer!
Answer:
1/3
Step-by-step explanation:
if you multiply 24 by 1/3, you recieve 8 which is the reduced dilation
Answer:
8 = 34 + (n * 2) / 8 = (n * 2) + 34 ; n = -13
Step-by-step explanation:
In this question we have 2 numbers and a variable. The variable is "a number," which I have represented as "n" in my answer. As long as there is a letter in the spot of n, that is the correct answer- your assignment might have represented the variable differently.
When the question says "8 is" it is saying "8 is equal to." "Is" represents an equals sign in this equation. "More than" represents addition, or the sum of. "The product of" represents multiplication. "The product of a number and 2" means that we are multiplying n and 2 BEFORE adding it to 34, so we want to make sure to include those in parenthesis to signify that we do indeed solve that part of the equation first. As long as you know PEMDAS you should be fine here, but I prefer to add what the equation wants me to do first in parenthesis so that it's more readable. Since the order of numbers doesn't matter in addition, 34 can go both before and after "the product of n and 2."
This gives us the equation "8 = 34 + (n * 2)," or the alternate "8 = (n * 2) + 34."
If you want to solve for N, you would need to subtract 34 from 8 and 34 itself, leaving -26 = (n * 2) or -26 = n(2). Then, since we're multiplying n by 2, we want to divide 2 by 2 to cancel it out, doing the same thing to -26. We are left with -13 = n, or n = -13.
Actually Welcome to the concept of Radioactive decay.
N(t) = 72(1/2)^22/11
==> N(t) = 72 (1/2)^2
==> N(t) = 72/4
==> N(t) = 18 grams.
So the remaining would be 18 grams.
