9514 1404 393
Answer:
(x, y) = (3, 7)
Step-by-step explanation:
If you divide the second equation by 2, it becomes ...
-x +2y = 11
Adding this to the first equation gives you the value of y:
(x -y) +(-x +2y) = (-4) +(11)
y = 7 . . . . . . . . simplify
The first equation can be rearranged to give an expression for x:
x = y -4
x = 7 -4 = 3
Then the solution is seen to be (x, y) = (3, 7).
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Personally, I like a graphing calculator for a quick and easy solution to many linear systems. (If the solutions are non-integers, it may not be so helpful.)
91
Explanation: Since the ones digit ends in a 3, that means the the ones digits of the two consecutive integers must be 1 and 2 or 6 and 7. However, you see 18 in the number 183. 9 + 9 = 18. When you add 6 and 7, you have to carry over one. However, when you add 1 and 2, you do not. Therefore, the two consecutive numbers are 91 and 92. 91 is the smaller integer, so that is the answer.
Answer and Step-by-step explanation:
Answer is in picture.
We use the cosine trig function (adjacent side over hypotenuse = cos of an angle) to find m.
The angles are split perfectly in half, half of 90, which is 45, so the other angles are 45.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
3x + 7
Step-by-step explanation:
Required algebraic expression will be: 3x + 7
Answer:
total population of school = 1000
1000 - 450 males = 550 female students
550 - 200 females not in extra curriculars = 350 females in extra curriculars
350 + 90 males in extra curriculars = 440 total in extra curriculars
Circle A = 440
Circle B - overlap = 200 females not in extra curriculars
440 + 200 = 640
1000 - 640 = 370 students represented by the portion of the Venn diagram not in either circle
Step-by-step explanation:
