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Answer:
3 girls for every 4 boys
Step-by-step explanation:
Number of girls = 12
Number of boys = 28 - 12 = 16
The ratio of girls / boys = 12/16 = 3/4
Answer:
The Alans's average for the course is 84.5
Step-by-step explanation:
We are given
There are 4 tests, A Term paper and a Final examination.
Score = 92, 78, 82, 90.
Term paper score = 80
Final examination score = 86
Weighted mean = ∑ w.f/∑w
also the sum of all the weights is 100% = 1
weighted mean = 15%*92 + 15%*78+15%*82+15%*90+20%*80+20%*86/1
= 51.3 + 33.2
= 84.5
Therefore the Alans's average for the course is 84.5
Answer:
Step-by-step explanation:
First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:


Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:
![y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]](https://tex.z-dn.net/?f=y%20%2B%203%20%3D%20-1%5Cfrac%7B3%7D%7B5%7D%5Bx%20-%202%5D%5C%3Aor%5C%3Ay%20-%205%20%3D%20-1%5Cfrac%7B3%7D%7B5%7D%5Bx%20%2B%203%5D)
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Answer:
a) (x, y) = (1, 7)
Step-by-step explanation:
Let be the following system of inequalties:


We can find the right option by evaluating each option in the system of inequalities:
a) (x, y) = (1, 7)


Then,
(TRUE)
(FALSE)
(1, 7) is not a solution of the system of inequalities.
b) (x, y) = (1, -7)


Then,
(TRUE)
(TRUE)
(1, -7) is a solution of the system of inequalities.
c) (x, y) = (1, -5)


Then,
(TRUE)
(TRUE)
(1, -5) is a solution of the system of inequalities.
d) (x, y) = (-1, 6)


Then,
(TRUE)
(TRUE)
(-1, 6) is a solution of the system of inequalties.
Therefore, we conclude that correct answer is A.