Answer:
Part a) 2.36 quarts
Part b) 47.2%
Step-by-step explanation:
Let
x ---> percentage of the resulting mixture that is antifreeze
Remember that
we know that
3 quarts of a solution multiplied by 0.22 (percentage in decimal form) plus 2 quarts of a solution multiplied by 0.85 (percentage in decimal form), must be equal to 5 quarts of a solution multiplied by x (percentage of the resulting mixture)
so
The linear equation that represent this situation is
solve for x
Convert to percentage
therefore
The percentage of the resulting mixture that is antifreeze is 47.2%
To find out how many quarts of antifreeze are in the resulting mixture, multiply the total quarts of the resulting mixture by the percentage in decimal form
Answer:
Step-by-step explanation:
The formula for this is
where
N is the amount of the element left after a certain amount of time (for us it is measured in days),
N₀ is the initial amount of the element in grams,
t is the number of days gone by, and
H is the half life of the element. Filling in:
which simplifies a bit to
and a bit more to
N = 42(.25) which gives us a remaining amount of
N = 10.5
Answer: You will have points plotted at +3 on the y axis, and +3 on the x axis.
The attachment shows what your graph should look like.
Step-by-step explanation:
The intercept is where the graphed line crosses an axis.
To find the y-intercept, substitute 0 for x and solve for y:
0 + y = 3. Subtracting 0, you have y = 3
So you can plot a point at +3 on the y axis.
To find the x- intercept, substitute 0 for y, and solve for x
x + 0 = 3 Again, subtracting 0, x = 3
So plot a point on the x-axis at +3
Use the line tool to connect the two points.