One month Pablo rented 12 movies and 2 video games for a total of $65. The next month he rented 3 movies and 5 video games for a
1 answer:
The rent for one movie is $4.50 and rent for one video game is $5.50
Step-by-step explanation:
Let,
Rent for one movie = x
Rent for one video game = y
According to given statement;
12x+2y=65 Eqn 1
3x+5y=41 Eqn 2
Multiplying Eqn 2 by 4
Subtracting Eqn 1 from Eqn 3
Dividing both sides by 18
Putting y=5.50 in Eqn 2
Dividing both sides by 3
The rent for one movie is $4.50 and rent for one video game is $5.50
Keywords: linear equation, elimination method
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Answer:
The answer to your question is the third option
Step-by-step explanation:
See the picture below
a) In the picture we observe that the parabola was narrowed not widened, so this option is incorrect.
b) From the picture, we conclude that the graph was shifted right 2 units, not four, so this option is incorrect.
c) From the picture, we observe that this option is the correct one.
d) We observe in the picture that this graph was not reflected so this option is incorrect.
Answer:
volume of the hemisphere
Answer:
- arc BF = 76°
- ∠M = 31°
- ∠BGE = 121°
- ∠MFB = 111°
Step-by-step explanation:
(a) ∠FBM is the complement of ∠FBC, so is ...
∠FBM = 90° -52° = 38°
The measure of arc BF is twice this angle, so is ...
arc BF = 2∠FBM = 2(38°)
arc BF = 76°
__
(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...
∠M = (1/2)(138° -76°) = 62°/2
∠M = 31°
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(c) arc FC is the supplement to arc BF, so has measure ...
arc FC = 180° -arc BF = 180° -76° = 104°
∠BGE is half the sum of arcs BE and FC, so is ...
∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2
∠BGE = 121°
__
(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...
∠MFB = 180° -∠M -∠FBM = 180° -31° -38°
∠MFB = 111°
