Answer:
Is there multiple choice to this question?
anyway the answer maybe is: 0
Answer:
The rate of the plane is 862 miles per hour
Step-by-step explanation:
An airplane travels 6903 kilometers against the wind in 9 hours.
Speed = distance / time
Speed of the airplane while travelling against the wind is
6903/9 = 767 miles per hour
The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be
8613/9 = 957 miles per hour
Let x = speed of the airplane
Let y = speed of the wind
While travelling against the wind,
x - y = 767 - - - - - -- 1
While travelling with the wind,
x + y = 957 - - - - - - -2
Subtracting equation 2 from equation 1,
-y - y = 767 - 957
-2y = -190
y = -190/-2
y = 95 miles per hour
x = 957 - y
x = 957 - 95
x = 862 miles per hour
Answer:
25
Step by step:
1. prepare the equation
-4 = x/5 - 9
2. add 9 to both sides
-4 = x/5 - 9
+9 +9
5 = x/5
3. multiply both sides by 5
5 = x/5
(5) (5)
25 = x
4. x=25
Hope this helps
Answer:
(a) B
(b) $2
Step-by-step explanation:
(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:
12t + 8p = 184
9t + 6p = 138
We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:
3 * (12t + 8p = 184)
4 * (9t + 6p = 138)
We get:
36t + 24p = 552
36t + 24p = 552
Subtract the second from the first:
36t + 24p = 552
- 36t + 24p = 552
________________
0 = 0
Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.
(b) Our equation from this, if we still use t and p, is:
5t + 4p = 82
Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:
5t + 4p = 82
9t + 6p = 138
To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:
6 * (5t + 4p = 82)
4 * (9t + 6p = 138)
We get:
30t + 24p = 492
36t + 24p = 552
Subtract the second from the first:
36t + 24p = 552
- 30t + 24p = 492
________________
6t + 0p = 60
So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:
5t + 4p = 82
5 * 10 + 4p = 82
50 + 4p = 82
4p = 32
p = 32/4 = $8
So the ticket costs 10 - 8 = $2 more dollars than the popcorn.
