The main idea here is to "translate" the words into maths.
First we need to identify the unknowns and label these.
We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters
Now lets write equations from the written problem.
We know that there are 36 coind total, thus:
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents.
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus:
10x+25y=585
We have two equations and two unknowns now, that needs to be solved to get the answer.
x + y = 36
10x+25y=585
None, the equation 6x - 2 = 6x + 7 does not have any solutions.
<h3>What is an algebraic equation? </h3>
An algebraic equation is an equation that consists of numbers and variables. To solve the variables, there is a need to make use of some or all of the arithmetic operations such as:
- Addition
- Subtraction
- Division, and
- Multiplication
From the given equation:
6x - 2 = 6x + 7
Collect like terms
6x - 6x -2 - 7 = 0
0 - 9 = 0
Since there is no variable to solve for in the equation, we can conclude that the equation does not have any solutions.
Learn more about algebraic equations here:
brainly.com/question/4344214
Answer:
vertex at (-1,1)
axis of symmetry: x=-1
y-intercept at 5
Step-by-step explanation:
Answer:
the third option 6 squareroot of 5 would be the largest value
Step-by-step explanation:
3 squareroot of 7 is also 63 squareroot
5 squareroot of 3 is also 75 squareroot
6 squareroot of 5 is also 180 squareroot
2 squareroot of 8 is also 32 squareroot