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4vir4ik [10]
3 years ago
9

Representatives from the student councils at three area high schools are traveling to the national convention in New York. North

Springdale High School is sending 5 more students than South Springdale High School and West Springdale High School is sending 6 more students than North Springdale. The three schools are sending a total of 46 students to the convention. How many of the students are coming from North Springdale?
Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0

nshs = sshs+5

wshs = nshh + 6 = sshs + 11

So nshs + wshs + sshs = 3*sshs + 16

So sshs = 10, nshs = 15 and wshs = 21

Answer 15.


Goryan [66]3 years ago
6 0

Answer:

15 students are coming from North Springdale.

Step-by-step explanation:

Total students: 46

South Springdale (SS): X

North Springdale (NS): X + 5

West Springdale (WS): NS + 6 = X + 5 + 6

3X + 5 + 5 + 6 = 46

3X = 46 - 6 - 5 - 5

3X = 30

X = 30 / 3

X = 10

South Springdale: 10 students

North Springdale: 15 students

West Springdale: 21 students

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Which value is included in the solution set for the inequality graphed one the number line?
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There are (49)5 ⋅ 40 books at the library. What is the total number of books at the library?
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7 0
2 years ago
Answer and how to do it
ollegr [7]

Answer:

(x - 9)^2 + y^2 = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

You are given

x^2 + y^2 - 18x + 45 = 0

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.

Start by grouping the x terms and subtracting 45 from both sides.

x^2 - 18x + y^2 = -45

Now we need to complete the square for x.

x^2 - 18x ~~~~~~+ y^2 = -45

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.

To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.

x^2 - 18x + 81 + y^2 = -45 + 81

(x - 9)^2 + y^2 = 36

Answer: (x - 9)^2 + y^2 = 36

6 0
3 years ago
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