If Julia saved $25 using her 50% off coupon how much did she spend? At another store Julia spent $22 which was 44% of her total
2 answers:
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Answer:
, or x-2y=14
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (2, -6) and is parallel to the line x-2y=8
First, we need to find the slope of x-2y=8, since parallel lines have the same slopes
We can convert the equation from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept), in order to help us find the slope of the line
Start by subtracting x from both sides
-2y=-x+8
Divide both sides by -2
y=-4
The slope of the line x-2y=8 is 1/2
It's also the slope of the line parallel to it.
Since we know the slope of the line, we can plug it into the equation for slope intercept form:
Now we need to find b.
As the equation of the line passes through (2, -6), we can use it to help solve for b
Substitute -6 as y and 2 as x:
Multiply
-6=1+b
Subtract 1 from both sides
-7=b
Substitute -7 as b into the equation:
The equation can be left as that, or you can convert it into standard form if you wish.
In that case, you will need to move 1/2x to the other side:
A rule about the coefficients a, b, and c in standard form is that a (coefficient in front of x) CANNOT be negative, and every coefficient must be an integer (a whole number, not a fraction or decimal).
So multiply both sides by -2 in order to clear the fraction, as well as change the sign of a
x-2y=14
Hope this helps!
Given:
Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin.
To find:
The ratio of hours spent practicing violin to hours spent playing softball three different ways.
Solution:
We have,
Time spend on Softball = 5 hours
Time spend on Violin = 4 hours
The ratio to hours spent practicing violin to hours spent playing softball is
It can be written as
Therefore, the ratio of hours spent practicing violin to hours spent playing softball three different ways are and 4 to 5.