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Sati [7]
3 years ago
6

Evaluate c/2 - 3 + 6/d when c=14 and d=13???

Mathematics
1 answer:
Kazeer [188]3 years ago
5 0

c/2-3+6/d

substitute c=14 and d=13:

14/2-3+6/13

simplify:

7-3+6/13

4+6/13

multiply 4 by 13/13 to group like terms (for a fraction):

52/13+6/13

combine:

58/13

Therefore, the answer is 58/13 or around 4.462

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Answer:

Step-by-step explanation:

5 0
2 years ago
A movie theater has a seating capacity of 197. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
yarga [219]

Answer: 74 children attended

86 students attended

37 adults attended

Step-by-step explanation:

Let x represent the number of children that attended.

Let y represent the number of students that attended.

Let z represent the number of adults that attended.

The movie theater has a seating capacity of 197. It means that

x + y + z = 197- - - - - - - - - - - - -1

The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. If the total ticket sales was $ 1416, It means that

5x + 7y + 12z = 1416- - - - - - - - - - 2

There are half as many adults as there are children. It means that

It means that

z = x/2

x = 2z

Substituting x = 2z into equation 1 and equation 2, it becomes

2z + y + z = 197

y + 3z = 197- - - - - - - - - - - - -3

5 × 2z + 7y + 12z = 1416

10z + 7y + 12z = 1416

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Multiplying equation 3 by 7 and equation 4 by 1, it becomes

7y + 21z = 1379

7y + 22z = 1416

Subtracting, it becomes

- z = - 37

z = 37

x = 2z = 2 × 37

x = 74

Substituting x = 74 and z = 37 into equation 1, it becomes

74 + y + 37 = 197

y = 197 - 74 - 37

y = 86

5 0
3 years ago
WHAT IS 4 TIMES TWO THIRDS IN A MIXED FRACTION
Alex73 [517]
\frac{4}{1}×\frac{2}{3}=\frac{8}{3}
You then divide the numerator(top) by the denominator(bottom)
\frac{8}{3}=2 \frac{2}{3}
Your answer is 2 \frac{2}{3}
3 0
3 years ago
Read 2 more answers
A ladder leaning against a building makes an angle of 78 degrees with the ground. The foot of the ladder is 5 feet from the buil
tatiyna

9514 1404 393

Answer:

  24 feet

Step-by-step explanation:

The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:

  Cos = Adjacent/Hypotenuse

  hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft

The ladder is about 24 feet long.

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3 years ago
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