Let the number of matinee tickets they bought be t, the number of drinks bought be d and the number of popcorn bags bought be p, then the amount the spend on the number of drinks and bags of popcorn they bought is given by
![5.5d+6p+2(6.5)=5.5d+6p+13](https://tex.z-dn.net/?f=5.5d%2B6p%2B2%286.5%29%3D5.5d%2B6p%2B13)
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The coefficients in the expression are 5.5 and 6 while the constant is 13 and the variables are d and p.
Answer:
Step-by-step explanation:
-3w + 7 = -14
subtract 7 from both sides
-3w + 7 - 7 = - 14 -7
-3w = -21
divide both sides by (-3)
-3w/-3 = -21/-3
w = 7
In short:
-3w + 7 = -14
-3w = -14 - 7
-3w = -21
w = -21/-3
w = 7
Answer:
(14a + 3, 21a + 4) = 1
Step-by-step explanation:
Step-by-step explanation:
To prove that the greatest common divisor of two numbers is 1, we use the Euclidean algorithm.
1. In this case, and applying the algorithm we would have:
(14a + 3, 21a + 4) = (14a + 3, 7a + 1) = (1, 7a + 1) = 1
2. Other way of proving this statement would be that we will need to find two integers x and y such that 1 = (14a + 3) x + (21a + 4) y
Let's make x = 3 and y = -2
![(14a+3)(3) + (21a+4)(-2)\\42a+9-42a-8\\1](https://tex.z-dn.net/?f=%2814a%2B3%29%283%29%20%2B%20%2821a%2B4%29%28-2%29%5C%5C42a%2B9-42a-8%5C%5C1)
Therefore, (14a + 3, 21a + 4) = 1