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lyudmila [28]
3 years ago
10

Janaina is trying to solve the following equation by completing the square: x^2+18x-9 = 0.She successfully rewrites the above eq

uation in the following form: (x + b)^2 = c,where b and c are integers. What is the value of c?
Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0
The Answer Is :
c = x^2 + 2bx + b^2
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A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

C = Children; S = Students; A = Adults

For the capacity, we have:

C + S + A = 329

For the tickets sold, we have:

5C + 7S + 12A = 2388

Half as many as adults are children implies that:

A = \frac{C}{2}

Required

Solve for A, C and S

The equations to solve are:

C + S + A = 329 -- (1)

5C + 7S + 12A = 2388 -- (2)

A = \frac{C}{2} -- (3)

Make C the subject in (3)

C = 2A

Substitute C = 2A in (1) and (2)

C + S + A = 329 -- (1)

2A + S + A = 329

3A + S = 329

Make S the subject

S = 329 - 3A

5C + 7S + 12A = 2388 -- (2)

5*2A + 7S + 12A = 2388

10A + 7S + 12A = 2388

7S + 22A = 2388

Substitute S = 329 - 3A

7(329 - 3A) + 22A = 2388

2303 - 21A + 22A = 2388

2303 +A = 2388

Solve for A

A = 2388 - 2303

A = 85

Recall that: C = 2A

C = 2 * 85

C = 170

Recall that: S = 329 - 3A

S = 329 - 3 * 85

S = 329 - 255

S = 74

Hence, the result is:

C = 170

S = 74

A = 85

8 0
3 years ago
Interior and Exterior Triangle Angles
k0ka [10]
Answer: 20.2
Add all the angles and set it equal to 180
Combine like terms
20x-2=180
X= 9.1

The equation for v is 2x+2
Replace x with 9.1 and then solve
3 0
3 years ago
Help please.........
Lunna [17]
I am not sure, but the answer is probably option A. Graph A.

5 0
3 years ago
About 7 of 10 U.S. households have TV remote controls. There were
julia-pushkina [17]
<span>Total households = 127,900,000 Proportion of households having remote control and not 7 : 3 7x + 3x = 127,900,000 10x = 127,900,000 x = 12,790,000 Households having remote control = 7x = 7 X 12,790,000 = 89,530,000 Answer: 89,530,000 households have TV remote controls.</span>
6 0
3 years ago
What is the combined weight of all the kittens
Aleksandr [31]
The answer is 5. If you do 3/8 x 4 you get 1.5, if you multiply 1/2 x 3 you get 1.5, if you do 1/4 x 3 you get .75 and if you do 5/8 x 2 you get 1.25. So, 1.5 + 1.5 + .75 + 1.25 = 5
6 0
3 years ago
Read 2 more answers
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