The value of z can be determined from the equation as;,[tex]\frac{z}{0.05} +\frac{54-z}{0.25} =6.90[/tex]
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 linear equation in one variable.
A student has 54 coins worth a total of $6.90.
The equation is obtained as;
0.05 z+0.25 (54-z)=6.90
54z=6.90
0.05z+16=6.90
0.05+0.25(54-z)=6.90
Hence, the values of z can be determined from the equation as;
[tex]\frac{z}{0.05} +\frac{54-z}{0.25} =6.90[/tex]
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Answer:
(a) 0.05z +0.25(54 -z) = 6.90
Step-by-step explanation:
Where z is the number of nickels the student has, an equation can be written that expresses the value of all coins in terms of z.
We assume suggested equations are ...
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If each of z nickels has the value $0.05, then their total value will be ...
z × ($0.05)
If we remember that our values are in dollars, we can write this without the dollar sign as ...
0.05z
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Each of the 54 coins that is not a nickel will be a quarter, worth $0.25. There will be (54-z) of them, so their value in dollars is ...
0.25(54 -z)
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An equation we can use to find the value of z is the one that relates these individual coin values to the total value of all the coins:
value of nickels + value of quarters = total value
0.05z +0.25(54 -z) = 6.90 . . . . . . an equation for determining z
This matches the first choice of our presumed list of choices for the equation.
