Answer:
Opposite and hypotenuse
Step-by-step explanation:
In a right triangle,the two sides adjacent to the right angle are known as the opposite and the hypotenuse
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.
Answer: 2 bookcases.
Step-by-step explanation:
Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.
According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:
Now you must solve for "x" in order to find its value:
Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:
The answer is correct because it would have to go like this;
(-4x + 9)² = (-4x + 9)(-4x + 9)
hope this helps, God bless!
Step-by-step explanation:
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