Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of dimes in his pocket.
- Variable y: number of quarters in his pocket.
He has a total of 14 coins, hence:
x + y = 14 -> y = 14 - x.
They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:
0.1x + 0.25y = 2.75
Since y = 14 - x:
0.1x + 0.25(14 - x) = 2.75
x = (0.25*14 - 2.75)/0.15.
x = 5.
y = 14 - x = 14 - 5 = 9.
There are 5 dimes and 9 quarters in his pocket.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
Except k=7, any real number for k would cause the system of equations to have no solution.
Step-by-step explanation:
In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.
Just for information, if k=7 the system will have infinitely many solutions.
<span>There are 4 main transformations: Rotation, Translation, Dilation and Reflection. Reflection is a transformation: flipping an object about a line. Reflection is distance-preserving transformation. The image has the same size as the original image ( in this case: ABC = A`B`C` ).The central line is called mirror line and here it is line BC. Answer: B. Reflection over segment BC.</span>
Just took this test on k12. The answer is 260cm. Hope this helps!!
Answer:
Jim has to work 48 hours to earn at least $300 per week.
Step-by-step explanation:
Jim makes 8.50 per hour
so in x hours he makes 8.5x
26% is deducted for taxes
so his take home pay is 8.5x(1 - .26) = 8.5x(.74) = 6.29x
To make > = $300 Jim must work enough hours so that
6.29x >= 300
x >= 17.49
