What is the area of a right triangle with the given vertices?
2 answers:
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Answer:
The equation simplifies to n = 7.
Step-by-step explanation:
Hey there! We have an algebraic equation with the variable <em>n</em>. We want to solve for n. Therefore, we need to simplify the expression as much as we can.
To do this, we're going to notice we have two like terms in the equation:
- 71
- 1
These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.
- Left side → 1 term
- Right side → 2 terms
We are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.
We see our constant is 1 on the right side and it is positive due to it being added to 10<em>n</em>. Therefore, we are going to do the opposite and subtract it from 71.
- 71 - 1 = 70
This leaves us with a more simplified equation: 70 = 10n.
To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.
Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.
In addition to that, what we do on one side of the equation must be done on the other side of the equation.
This simplifies to n = 7, which is our final answer.
Answer:
5 and 1/3 cups of water.
Step-by-step explanation:
Set up a proportion like this:
2:3 for the original recipe
Then a second proportion for the recipe Jacoby used:
w:8 (use w for the unknown water amount)
Set up an equation so that the proportions equal each other. It helps if you write them in fraction form:
Use cross multiplication to get the new equation:
8 x 2 (or 16) = 3w
Then, divide both sides by 3 to get the amount for w, or water, by itself:
5 and 1/3 = w
I hope this helps! ☺