Which is the absolute value of 9 and -9
1 answer:
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Answer:
It will cost $36.38 to travel 8.9 miles.
Step-by-step explanation:
In order to get how much it will cost to travel 8.9 miles, you need to first set up a linear equation (in slope-intercept form, which is ). You can do this with what the problem has given us. Since there's a flat fee of $3, that is the y-intercept or the
slope-intercept form. Then there is $3.75 added for every additional mile traveled, making it the slope or the
in slope-intercept form. That makes the equation look like:
The in that equation represents how far you traveled. Therefore in order to find out 8.9 miles, plug in 8.9 for
.
Simply solve the equation and you will have how much it will cost to travel 8.9 miles.
Now add the like terms:
Since it needs to be rounded to the nearest cent, you will round to the nearest tenth:
Therefore, it will cost $36.38 to travel 8.9 miles.
we have
<h3>Answer:</h3>
- <u>20</u> kg of 20%
- <u>80</u> kg of 60%
I like to use a little X diagram to work mixture problems like this. The constituent concentrations are on the left; the desired mix is in the middle, and the right legs of the X show the differences along the diagonal. These are the ratio numbers for the constituents. Reducing the ratio 32:8 gives 4:1, which totals 5 "ratio units". We need a total of 100 kg of alloy, so each "ratio unit" stands for 100 kg/5 = 20 kg of constituent.
That is, we need 80 kg of 60% alloy and 20 kg of 20% alloy for the product.
_____
<em>Using an equation</em>
If you want to write an equation for the amount of contributing alloy, it works best to let a variable represent the quantity of the highest-concentration contributor, the 60% alloy. Using x for the quantity of that (in kg), the amount of copper in the final alloy is ...
... 0.60x + 0.20(100 -x) = 0.52·100
... 0.40x = 32 . . . . . . . . . . .collect terms, subtract 20
... x = 32/0.40 = 80 . . . . . kg of 60% alloy
... (100 -80) = 20 . . . . . . . .kg of 20% alloy