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3d^2= 10 - 13d how do I factor this
1 answer:
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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.
Question is Incomplete;Complete question is given below.
Mustafa’s soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit?
Answer:
Step-by-step explanation:
Given:
Charges of DJ = $200
Decoration charges = $100
Profit need to be made = $1500
Charges per student to attend the dance = $5
We need to write the equation to find the number of students for to attend the dance in order to make profit.
Solution:
Let the number of student be represented by 'n'.
Now we can say that;
Profit to be made should be equal to Charges per student to attend the dance multiplied by number of students minus sum of Charges of DJ and Decoration charges.
framing in equation form we get;
Hence the equation to find the number of students attending the dance is