log6 (x+1)− log6 x =log6 29
How much money did the fundraiser make?
Answer:
There are 102 coins total:
34 Quarters
20 loonies
48 toonies
Step-by-step explanation:
Assuming money is counted in coins instead of value, it can be solved like this.
1. find a common denominator for 1/3 and 1/5. We can use 15. So, of the money collected, 5/15 were quarters and 3/15 were loonies. This makes 7/15 toonies. If there are 48 toonies, we can divide this by 7 to find the value of 1/15. 48/7 = 6 6/7. Multiply this number by 15 (for each value) and you get 102 6/7.
There are 102 coins total:
34 Quarters
20 loonies
48 toonies
h(x) = x^{2] - 2x - 8
Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry of the function.
Please solve showing work
Solution for
It is a case about one variable linear quations and we have to solve the equation to get the variable m.
Our main goal is to isolate the variable m alone at the end of the process on one side of the equation, until the variable will be equal to the value on the opposite side.
Let us add to both sides:
On the right side for the addition operation, we equate the common denominator by multiplying
Then we combine terms to get:
We divide by the coefficient of m, or in other words, multiply both sides by :
Finally, the solution is obtained as follows
We simplify fractions, both the numerator and denominator are divided equally by 7.
In the form of mixed fractions, we get:
In decimal form, we get
Wanna check the solution into the equation?
Both sides show the same value, so the solution is correct.
These are quick steps in summary:
Note:
The important thing to do is how to manipulate both sides of the equation with the algebraic properties of equality such as:
In the form of fractions, the steps that must be considered are
All these processes can occur repeatedly until the isolated variables are obtained on one side of the equation.
Let's practice a lot until you get used to and know which operations should be done first.
Grade : Middle School
Subject : Mathematics
Chapter : Linear Equation in One Variable
Keywords : solve, solution, variable, coefficient, 2/7m - 1/7 = 3/14, 5/4, 1 1/4, 1.125, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, substract, multiply, divide, fraction, equate, denominator, numerator, both sides, decimal, brainly