Help me with this please!!
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Let n be the number of nickels and q be the number of quarters in the jar.
Worth of each nickle is $0.05 and worth of each quarter is $0.25. So worth of n nickles will be 0.05n and worth of q quarters will be 0.25q.
There are 150 total coins in the jar. So we can write the equation as:
n + q = 150 (Equation 1)
Total value of coins is $26.70. So we can write the equation as:
0.05n + 0.25q = 26.70 (Equation 2)
From Equation 1 value of n comes out to be n = 150 - q. Using this value in Equation 2, we get:
Using the value of q in Equation 1, we get the value of n to be 54.
This means, John has 54 nickles and 96 quarters in the jar.
<h3>Answer:</h3>
y = 8/9x + 80/9
<h3>Step-by-step explanation:</h3><u>We are given;</u>
- Equation of a line as 8x -9y -2 = 0
- Coordinates (-1,8)
We are required to determine the equation of a line parallel to the given line and passing through a point (-1,8)
<h3>Step 1: Determine the Gradient of the given line </h3>- When an equation is written in the form y = mx + c, m is the gradient.
- Therefore; we could write the equation 8x -9y -2 = 0 in the form of y= mx + c
9y = 8x -2
y = 8/9x - 2/9
Therefore, the slope, m = 8/9
<h3>Step 2: Determine the equation of the line</h3>- We need to know that parallel lines have the same gradient
- Therefore, the slope of the line in question is 8/9
- It passes through a point (-1, 8)
We can therefore, determine the equation;
Taking another point, (x,y)
9(y-8) = 8(x+1)
9y - 72 = 8x + 8
9y = 8x + 8 +72
9y = 8x + 80
y = 8/9x + 80/9
Therefore, the equation of the line is y = 8/9x + 80/9