The statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
0.1x + 0.25y = 19.9 and
x + y = 100
Let x = number of dimes
y = number of quarters
After solving the above system of equations by substitution method.

y = 66

x = 34
Thus, the statement first, and the statement second are correct because the number of dimes is 34, and the number of quarters is 66
Learn more about the linear equation here:
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See photos for solutions and steps :)
The top left graph is the only one correct. It rises up slowly then faster, and then stays constant for an hour, then decreases.
Invert the divisor and then multiply 7/9 by your result:
7 -7 -49
--- * ------ = ---------
9 11 99