Answer:
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Step-by-step explanation:
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The expression for the cost of the ABC Book Club is 2<em>x </em>+ 40. The expression for the cost of the Easy Book Club is 3<em>x</em> + 35. To find when the total charge for both book clubs is equal, the two expressions must equal each other. (<em>x </em>= the number of books read)
2<em>x </em>+ 40 = 3<em>x</em> + 35
Subtract 35 from both sides.
2<em>x </em>+ 5 = 3x
Subtract 2<em>x </em>from both sides.
5 = <em>x</em>
So, the total charge for each club is equal when 5 books are read.
Hey :)
The answer is 100.
The overall area will be the length times the width:
200 times 300 = 60000.
If the plot of land doubles in size, then the resulting area will be 120000. To get to 120000, the question is saying that the same number was added to both 200 and 300, which were then multiplied together. The equation will look like this:
(x+200) times (x+300) = 120000
Now, you will multiply these together in a process called FOIL (which means you multiply the first numbers in each parentheses, then the outside numbers, then the inside numbers, then the last numbers):
x^2 (this means x squared, or x times itself) + 300x + 200x + 600 = 120000
Then, you will add together like terms:
x^2 + 500x + 600 = 120000
Next, you will subtract 120000 from both sides to get 0 on one side of the equation:
x^2 + 500x - 6000 = 0
Next, you will essentially perform the opposite of FOIL (now you're trying to get the right side of the equation into two parentheses):
(x + 600) times (x - 100) = 0 (you can check if this is correct by performing FOIL and making sure that product is the previous equation)
Now, set both of the parentheses equal to 0 and solve:
x + 600 = 0 ----> x = -600x - 100 = 0 ----> x = 100
Lastly, you will have to choose which value for x satisfies the initial question. Since the question is asking for a value within the real world, a negative answer will not work (you cannot give someone -600 meters of land). So, the answer is 100.
Hope this helps! :)
To measure and classify our triangle we are going to perform the following steps:
Step 1. Open GeoGebra or GeoGebra geometry and enter the input of the three points of our triangle.
Step 2. In the measure menu, choose the distance tool and select tow points in our triangle to measure the distance of one side; repeat the process for the other two sides.
Step 3. In the measure menu, choose the angle tool and select three points in our triangle to measure the angle between the three points; repeat the process for the other two angles.
Step 4. After performing the previous steps, we end with a triangle of three equal sides of 5.8 units and three equal angles of 60°. Since all the sides and angles in our triangle are equal, we have an equilateral triangle.
We can conclude that the triangle with coordinates <span>(10, 14), (15, 11.11), and (10, 8.22) is an
equilateral triangle.</span>
A + b = 50
a = 2b - 43
2b - 43 + b = 50
+43 +43
3b = 93
b = 31
(31 x 2) - 43 = 19
a = 19 b = 31
31 + 19 = 50