Use the slope formula:
m = (y2 - y1)/(x2 - x1)
Plug in the values into the equation:
m = (1 + 7)/(-7 - 5)
m = 8/(-12)
m = -(2/3)
The slope is -2/3
Answer:
PlayStation = 175
Step-by-step explanation:
X box = x
PlayStation = x+15
X box + PlayStation = 335
x + x+15 = 335
Combine like terms
2x+15 = 335
Subtract 15
2x+15 -15 = 335-15
2x = 320
Divide by 2
2x/2=320/2
x =160
x box =160
PlayStation = x+15 = 160+15= 175
Answer: The answer is
Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.
Number of middle school dances is "M" and number od high school dances is "H".
Since there cannot be more than 10 dances all together, so fisrt inequality can be written as
Also, the entire recital must take maximum 90 minutes, so the second inequality can be written as
Thus, the pair of inequalities is
Answer:
Step-by-step explanation:
In order to solve this problem, let's first understand what the question is asking.
If we combine Solution A (with 35% salt) and Solution B (with 85% salt), our goal is to create a 40 ounce mixture with 45% salt.
Let's model an equation for this, assuming that a is the amount of ounces of Solution A and b is the amount of ounces of Solution B.
<em>Why?</em> Since 35% of a number is the same as multiplying it by 0.35, we can multiple the total number of ounces by the decimal to find how many ounces of it will contain salt.
We also know that we need 40 ounces of this mixture. Therefore, adding together Solution A and B must get 40:
We can now solve this systems of equations.
Now that we know Solution B needs 8 ounces of mixture, we can substitute it into an equation to solve for a.
Therefore, we need 32 ounces of Solution A and 8 ounces of Solution B.
Hope this helped!
Answer:
You are wrong and the correct answer is vaunted.
Step-by-step explanation:
Why? Because it would be the only applicable word for this sentence.
Omnipotent: Having unlimited power; able to do anything.
Overt: One or shown openly; plainly or readily apparent, not secret or hidden.
Annihilated: Destroy utterly; obliterate.
Vaunted: Praised or boasted about, especially in an excessive way.