A car speeds up from 8.50 m/s to
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To graph an equation on a number line, You place a point at where the number lies. For example, x=5 would mean that you place a point on 5 and not draw a line.
To graph an inequality on a number line, if depends if it is <, >, ≤, or ≥ . If it is ≤, it is a closed point on the number and a line moving to the left of the number. If it is a ≥, then it is a closed point on the number with a continuous line to the right. If it is a <, it is an open point on the number with a line going to the left. If it is a >, then it is an open point going to the right.
I'll attach a photo to show you what it looks like! :) Hope this helps! :)
To graph an inequality on a number line, if depends if it is <, >, ≤, or ≥ . If it is ≤, it is a closed point on the number and a line moving to the left of the number. If it is a ≥, then it is a closed point on the number with a continuous line to the right. If it is a <, it is an open point on the number with a line going to the left. If it is a >, then it is an open point going to the right.
I'll attach a photo to show you what it looks like! :) Hope this helps! :)
<u>ANSWER: </u>
170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.
<u>SOLUTION: </u>
First, set up a table. Fill in the unknowns with variables x and y. The table is attached below
From this, we can easily set up the two equations.
Sum of values of two acids = Value of mixture
0.1x + 0.65y = 1122
For convenience, we'll multiply the entire equation by 100,
10x + 65y = 112200 ------ (1)
Now, Sum of amounts of each acid = Amount of mixture
x + y = 1870 ---------(2)
multiply (2) with 10 for easy calculation and derive the equation into one variable.
10x + 10y = 18700
Subtracting equation (2) from (1),
( + ) 10x + 65y = 112200
( − ) 10x + 10y = 18700
we get the solution as,
0 + 55y = 93500
Thus, 55y = 93500
y = 1700
Substituting y = 1700 in (2),
x + 1700 = 1870
x = 1870 - 1700
x = 170
So, we have x = 170 and y = 1700
We can conclude that 170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.
