In a recent year, certain colleges and universities received about $268 million in aid. Ten years later, they received about $94
2 answers:
Answer:
d. 65% decrease
Step-by-step explanation:
In the current situation, the colleges and universities received about $268 million in aid.
Ten years later, they received about $94 million.
Decrease in amount is = million dollars
= 174 million dollars
The percentage of change with respect to current value is :
% ≈65%
And since the amount of aid received is decreasing, so this percentage is a decreased value.
The answer is option D.
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There are many ways to check if the point (1,3) is a solution to the linear equation .
Let us check it by expressing y in terms of x.
The given expression is 5x-9y=32. If we add -5x to both sides we will get:
Multiplying both sides by -1 we will get:
In order to isolate y, we will divide both sides by 9 to get:
Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.
Thus, we see that when x=1, y=-3 and that and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.
For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.
