Answer:
2002 pounds
Explanation:
To know the weight of the plane, we need to find an equation that relates the amount of fuel to the weight.
This equation can be founded using the following
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Where m is the slope, x1 is the number of gallons and y1 is the respective weight. So, replacing m = 6.0, x1 = 51 gallons and y1 = 2206 pounds, we get:
![y-2206=6(x-51)](https://tex.z-dn.net/?f=y-2206%3D6%28x-51%29)
Now, we can solve for y
![\begin{gathered} y-2206=6(x)-6(51) \\ y-2206=6x-306 \\ y=6x-306+2206 \\ y=6x+1900 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y-2206%3D6%28x%29-6%2851%29%20%5C%5C%20y-2206%3D6x-306%20%5C%5C%20y%3D6x-306%2B2206%20%5C%5C%20y%3D6x%2B1900%20%5Cend%7Bgathered%7D)
Then, we can calculate the weight of an airplane with 17 gallons of fuel replacing x = 17 on the equation above
y = 6x + 1900
y = 6(17) + 1900
y = 102 + 1900
y = 2002
Therefore, the answer is 2002 pounds
Answer:
38
Step-by-step explanation:
1/2(10p-7q)
1/2(10(9)-7(2))
1/2(90-14)
1/2(76)
76/2
38
Step-by-step explanation:
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The difference between two numbers is 12. Three times the larger number is seven times the smaller. What are the two numbers?
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JEEW-M  | CERTIFIED EDUCATOR
Let us say the two numbers are x and y and x>y.
The data we have are;
Difference between the numbers are 12.
3 times larger number is equal to 7 times smaller number.
Then we can write;
 ----(1)
 ----(2)
From (1) we can say 
Then substituting  to (2) gives;




Then;


There is no picture but ok
(2x - 5) (5x - 10)
Use FOIL
10x² - 20x - 25x + 50
10x² - 45x + 50
5( 2x² - 9x + 10)
2x -5
x -2
5(2x - 5)(x -2)
make each equal to 0
2x - 5 = 0
x - 2 = 0
2x - 5 = 0 x - 2 = 0
2x - 5 (+5) = 0 x - 2 (+2) = 0 (+2)
2x = 5 x = 2
x = 5/2
x = 5/2 , 2
hope this helps