<span>3 – 2a < 7
Subtract 3 from both sides
-2a<4
Divide both sides so that the only thing remaining on the left side is the variable a.*Note: When you divide a negative number in a inequality, it automatically flips the greater than/less than sign to it's opposite side.
Final Answer: a>-2</span>
X=12, y=7.5
Here is an explanation if you want to know how to do it:
First, look at the diagram and think about what you know so far. Since the lines are parallel, 5x+4y and 12y must be equal. We also know that there is a right angle, so since both angles are equal, 12y=90 and 5x+4y=90.
Solve for y by dividing 90 by 12 to get 7.5, so y=7.5. Sub in this value to the equation on top and you should get 5x+4(7.5)=90 4(7.5)=30, so subtract that from 90 to get 60 and divide 60 by 5 to get 12, so x=12.
Answer: 80
Step-by-step explanation:
We can use the formula
, where
are the lengths of the diagonals.
By the distance formula,

So, the area is 
Answer: 3 quarters is equal to .75 and 2 dimes is equal to .20
So far we have .95 with 5 coins
2 nickels which is equal to .10
1 penny
8 coins = 1.06
Step-by-step explanation: