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lesantik [10]
3 years ago
13

The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8,100 gallons of gas filled the station's

tank. After that the tanker truck had 4 times as much gas as the station's tank. How much did the tanker truck put into the station's tank?
Mathematics
2 answers:
dezoksy [38]3 years ago
8 0

Answer:

<h2>The tanker truck put 1300 gallons of gas into the station's tank.</h2>

Step-by-step explanation:

Givens

  • The gas station contained 400 gallons of gas.
  • The truck contained 8,100 gallons of gas.
  • After filling, the truck had 4 times as much gas as the gas station.

In this problem, the unknown variable x represents the amount of gas the truck filled to the gas station. So,

4(400+x)=8100-x

400+x expresses the tank of the gas station filled

8100-x represents the amount of gas is taken out of the truck, which is the same amount that it's being filled to the station.

4(400+x) expresses the comparison between the gas station and the truck, the tank of the truck (after filling) is four times the tanks of the gas station.

Now, we solve for x

4(400+x)=8100-x\\1600+4x=8100-x\\4x+x=8100-1600\\5x=6500\\x=\frac{6500}{5}=1300

Therefore, the tanker truck put 1300 gallons of gas into the station's tank.

spin [16.1K]3 years ago
3 0

Answer:

1300

Step-by-step explanation:

Let the amount put in the station's tank = x

4(400 + x) = 8100 - x                           Remove the brackets

1600 + 4x = 8100 - x                            Subtract 1600 from both sides

1600 - 1600 + 4x = 8100 - 1600 - x     Do the subtraction

4x = 6500 - x                                        Add x to both sides

4x + x = 6500 - x + x        

5x = 6500                                            Divide by 5

5x/5 = 6500/5                                      

x = 1300

1300 gallons were added to the station's tank.

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vodka [1.7K]

9514 1404 393

Answer:

  C.  The zeros are -1 and 5/2, because f(x) = (x + 1)(2x-5).

Step-by-step explanation:

The zeros of the function are the values that make the factors zero. The factors need to multiply out to give the original standard-form equation.

The sign of the constant (-5) tells you the product of the constants in the factors must be -5. That is only true for choices B and C.

Additionally, the x-term needs to match the result of multiplying out the factors.

  B.  (x -1)(2x +5) = 2x^2 +3x -5 . . . . . . . . . wrong x-term (not -3x)

  C.  (x +1)(2x -5) = 2x^2 -3x -5 . . . . . . . . . matches the given f(x)

The factors of C are zero when x=-1, x=5/2.

8 0
2 years ago
PLEASEEE help with 3-4 and a-b :)
attashe74 [19]
The awnser would be-(4a+b-3) I hope this helps you
3 0
3 years ago
What sets of numbers do -7/10 belong to
Ket [755]
Between 0 and 1 because it goes 0, 1/10, 2/10,  and so on and so forth till 1



8 0
3 years ago
Solve 3-(2x-5)&lt;-4(x+2)
azamat

Answer:

Step-by-step explanation:

3-(2x-5)=-4(x+2)

We simplify the equation to the form, which is simple to understand

3-(2x-5)=-4(x+2)

Remove unnecessary parentheses

3-2x+5=-4*(x+2)

Reorder the terms in parentheses

3-2x+5=+(-4x-8)

Remove unnecessary parentheses

+3-2x+5=-4x-8

We move all terms containing x to the left and all other terms to the right.

-2x+4x=-8-3-5

We simplify left and right side of the equation.

+2x=-16

We divide both sides of the equation by 2 to get x.

x=-8

7 0
2 years ago
Read 2 more answers
How to find two consecutive numbers whose squares differ by 15?
LUCKY_DIMON [66]
Let x is the first no. then the other no. will obviously be (x+1)

according to question,
(x+1)²- x²= 15
x² +2x+1 - x² = 15 ( using (a+b)²= a²+ b² + 2ab )
2x + 1 = 15
2x = 14
x = 7

hence numbers are x = 7 and x +1 = 7+1 = 8
also 8²-7² = 64-49 = 15

hence the numbers are 7 and 8

hope it helped
4 0
2 years ago
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