Which expression is equivalent to the expression shown 3^7 x 3^-4
1 answer:
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Answer:
The mass of each passenger is 550 kg.
The mass of front decoration is 200 Kg.
Step-by-step explanation:
Given : A roller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decoration and only 4 passenger cars, it has a mass of 2400 kg.
To find : What is the mass of the decoration and of each passenger car?
Solution :
Let the mass of each passenger is x.
Let the mass of front decoration is y.
- When the number of passenger = 6
Mass of 6 passengers and front decoration = 3500 kg.
The equation form is ..........[1]
- When the number of passengers = 4
Mass of 4 passengers and front decoration = 2400 kg.
The equation form is ........[2]
Solving equation [1] and [2]
Subtract equation [2] from [1],
Put value in [1],
Therefore, The mass of each passenger is 550 kg.
The mass of front decoration is 200 Kg.
We can actually deduce here that the ordered pairs that make both inequalities true are:
- (1,1)
- (2, 2)
An inequality is known to be an expression that shows that certain variables or values are not equal to each other. It is usually seen in an inequality expression as:
- > (greater than)
- < (less than)
- ≥ (greater than or equal to)
- ≤ (less than or equal to).
We see the attached image that shows the graph of inequality and which completes the question.
The options that complete the question are:
A. –2, 2
B. (0, 0)
C. (1,1)
D. (1, 3)
E. (2, 2)
When we insert the values of each axes into the inequality expressions given, we will discover that the ordered pairs that the inequalities true is (1,1) and (2, 2).
Learn more about inequality on brainly.com/question/25275758
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