Answer:
The equation that will determine the cost of two folders is; 3x = 2× $2.91
and the cost of the 2 folders is $1.94
Step-by-step explanation:
To solve this problem, we will follow the steps below;
Using proportion;
Let x be the cost of 2 folders
3 folders = $2.91
2 folders = x
Cross-multiply
3x = 2× $2.91
The equation that will determine the cost of two folders is
3x = 2× $2.91
We can go ahead and solve
3x = $5.82
Divide both-side of the equation by 3
= 
x = $ 1.94
The cost of 2 folders is $1.94
Let
x---------> the total number of coins
we know that
512 cents-------> is equal to $5.12
1 penny is equal to $0.01
1 nickel is equal to 5 penny--------> $0.05
1 dime is equal to 2 nickel--------> $0.10

![\frac{x}{3}*[0.01+0.05+0.1]=5.12 \\\\x*[0.16]=15.36 \\\\ x=\frac{15.36}{0.16} \\\\x= 96\ coins](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2A%5B0.01%2B0.05%2B0.1%5D%3D5.12%20%5C%5C%5C%5Cx%2A%5B0.16%5D%3D15.36%20%5C%5C%5C%5C%20x%3D%5Cfrac%7B15.36%7D%7B0.16%7D%20%5C%5C%5C%5Cx%3D%2096%5C%20coins)
the total number of coins are 96
Divide 96 by 3 to obtain the number of coins of each type
therefore
<u>the answer is</u>
the number of penny coins are 
the number of nickel coins are 
the number of dimes coins are 
Answer:
122
Step-by-step explanation:
They are equal
Answer:
This is a line, x>0 (miles cannot be negative)
Step-by-step explanation:
Cost of renting a car = cost per mile times the number of miles plus the flat fee
We know the cost per mile = .25 and the flat fee
Let x = number of miles and y = cost of renting a car
y = .25x+15
This is in the form y= mx+b which is the slope intercept form of a line.