If B is the midpoint of AC, that means that the distances from A to B and B to C are the same. The distance from A to B is 8x + 4, and the distance from B to C is 10x - 6, so we can set these two equivalent:
8x + 4 = 10x - 6
Solving for x:
4 = 2x - 6 (subtract 8x from both sides)
10 = 2x (add 6 to both sides)
5 = x (divide both sides by 2)
So, x = 5, which is the second option given.
Answer:
81.76in^2
Step-by-step explanation:
Given data
Lenght of book= 11.2 inches
WIdth of book= 7.3 inches
We know that Area= Length* Width
Area= 11.2*7.3
Area= 81.76 in^2
Hence the area of the front of the book is is 81.76in^2
Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60
Solve for <em>q</em> :
3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)
3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>
0.4<em>q</em> = 1.6
<em>q</em> = 4
Answer:
-14/15
Step-by-step explanation:
First, you want to turn each mixed number into an improper fraction. So you get -10/3 + 12/5. Then you want to get the same denominator, and the LCD happens to be 15. You get -50/15 + 36/15. Addition is commutative, so you can do something like this: 36/15 - 50/15. You can do 36-50=-14, and then add the denominator to get -14/15.
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