18/45 can be divided by nine, so it would be 2/5
<h3>Answers:</h3>
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Explanation:
x = number of seconds that elapse
y = altitude (aka height) of the plane
The equation for plane A is
y = 20.25x+2652
because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes
The equation for plane B is
y = 75.5x
The y intercept is zero because plane B starts on the ground, aka height 0.
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The system of equations is

If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.
75.5x = 20.25x+2652
75.5x-20.25x = 2652
55.25x = 2652
x = (2652)/(55.25)
x = 48
The two planes reach the same altitude at exactly <u>48 seconds</u>
That altitude is <u>3624 feet</u> because
- y = 20.25*x + 2652 = 20.25*48+2652 = 3624
- y = 75.5*x = 75.5*48 = 3624
Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.
Answer:
No
Step-by-step explanation:
No, this doesn't make sense because as stated in the problem, each ticket costs $2.50. Since you cant buy part of a ticket, you would have to have a whole number for t. You cannot buy 3.5 tickets.
Answer:
Answer:Amy used 4 41-cent stamps and 8 6-cent stamps.
Step-by-step explanation:
Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.
41 cents = 41/100 = $0.41
6 cents = 6/100 = $0.06
She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that
0.41x + 0.06y = 2.12
Multiplying through by 100, it becomes
41x + 6y = 212
6y = 212 -41x
We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.
If x = 3,
6y = 212 - 41 × 3 = 89
y = 89/6 = 14.8333
If x = 4,
6y = 212 - 41 × 4 = 48
y = 48/6 = 8
Answer:Amy used 4 41-cent stamps and 8 6-cent stamps.
Step-by-step explanation:
Let x represent the number of 41-cent stamps that Amy used. Let y represent the number of 6-cent stamps that Amy used.
41 cents = 41/100 = $0.41
6 cents = 6/100 = $0.06
She uses 41-cent stamps and 6-cent stamps to pay $2.12 in postage. It means that
0.41x + 0.06y = 2.12
Multiplying through by 100, it becomes
41x + 6y = 212
6y = 212 -41x
We would test for corresponding values of x and y that satisfies the equation and they must be whole numbers.
If x = 3,
6y = 212 - 41 × 3 = 89
y = 89/6 = 14.8333
If x = 4,
6y = 212 - 41 × 4 = 48
y = 48/6 = 8
Answer:
x=1/3
Step-by-step explanation:
A function f is given as
in the interval [0,1]
This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)
Hence mean value theorem applies for f in the given interval

The value

Find derivative for f

Equate this to -5 to check mean value theorem

We find that 1/3 lies inside the interval (0,1)