The answer would be : 0.6875
Although if you want the simplified version, it would be : 0.69 or 0.688 depending on what unit you’d want it simplified to.
Answer:
Dillion has 42 quarters and 15 dimes.
Step-by-step explanation:
Let the number of quarters=q
Let the number of dimes=d
Dillon has saved 57 coins in his piggy bank.
Therefore:
q+d=57
Now, 1 dime=$0.10 and 1 quarter=$0.25.
We multiply the value of each coin by the number of coins present.
Since Dillion has a total of $12
Therefore:
0.1d+0.25q=12
We solve the two equations simultaneously.
From equation 1, q=57-d
Substitute q=57-d into 0.1d+0.25q=12
0.1d+0.25(57-d)=12
0.1d+14.25-0.25d=12
0.1d-0.25d=12-14.25
-0.15d=-2.25
Divide both seides by -0.15
d=15
Recall: q=57-d
q=57-15=42
Therefore, Dillion has 42 quarters and 15 dimes.
Answer:
2.) Infinitely many solutions
3.) No solutions
Step-by-step explanation:
To solve systems of equations graphically, you need to find where they intersect
2.) First put each equation in the form y=mx+b
x-y=6 -> y= x-6
2x=12+2y -> y= x-6
Then, graph each line
Since we have the same equation, the lines are on top of each other so there are infinitely many solutions as they intersect everywhere.
To check, plug a point in from the graph into both equations and you should get 0=0
3.) First put each equation in the form y=mx+b
1/2x-y=4 -> y=1/2x-4
2y=x+6 -> y=1/2x+3
Then, graph each line
Since the lines have the same slope but a different y intercept, the lines are parallel. Therefore, there are no solutions as they do not intersect.
To check your answer, you would one equation as the y in the other equation.
2(1/2x-4)=x+6, then solve for x
Then plug that x into the original equations, and you'll see they are not equal. Hope that helps!
The values of x and y given that 182x + 247 y = gcd(182, 247) would be x=-4 and y=3.
<h3>What does it mean to solve an equation?</h3>
An equation represents equality of two or more mathematical expression.
To solve an equation, then the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
And Solutions to an equation are values of the variables involved in that equation for which the equation is true.
We have given the equation as;
182x + 247 y = gcd(182, 247)
Then we get
14*x+19*y=1
Thus, x=-4 and y=3.
since we have given gcd(182,247)
=13
Hence, The values of x and y given that 182x + 247 y = gcd(182, 247) would be x=-4 and y=3.
Learn more about solving equations here, please click the link given below:
brainly.com/question/18015090
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