Answer:
23
Step-by-step explanation:
Using Synthetic Division you get:
A remainder of 23
We need to convert the mileage from mi/gal units into to km/L units using the conversion factors.
(31.0 mi/gal) x (1 km / 0.6214 mi) x (1 gal / 3.78 L) = 13.20 km/L
Next, we divide the distance by the mileage.
(142 km) / (13.20 km/L) = 10.79 L
<span>Therefore, you need 10.79 liters of gasoline.</span>
The angles are x =25, angle A = 20 and B = 70
<h3>How to solve for the angles?</h3>
The given parameters are:
A = x - 5
B = 2x + 20
Both angles are complementary angles.
This means that:
x - 5 + 2x + 20 = 90
Evaluate the like terms
3x = 75
Divide both sides by 3
x = 25
Substitute x = 25 in A = x - 5 and B = 2x + 20
A = 25 - 5 = 20
B = 2 * 25 + 20 = 70
Hence, the angles are x =25, angle A = 20 and B = 70
Read more about complementary angles at:
brainly.com/question/98924
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Answer:
6 fingers
Step-by-step explanation:
Let X = the base of the numbers above
If X > 0
Then we have:
325 = 3 * X² + 2 * X¹ + 5 * X°
325 = 3X² + 2X + 5
42 = 4*X¹ + 2*X°
42 = 4X+ 2
And
411 = 4*X²+ 1*X¹ 1*X°
42 = 4X² + X + 1
Since 325 + 42= 11 then
3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms
3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0
-X² + 5X + 6 = 0 ------- Multiply both sides by -1
X² - 5X - 6 = 0 ------- Factorise the Equation
X² - 6X + X - 6 = 0
X(X - 6) + 1( X - 6) = 0
(X + 1)(X - 6) = 0
X + 1 = 0 or X - 6 = 0
X = -1 or X = 6
But X>0
So, X =-1 is invalid
X = 6
The expected number of fingers of the Martian is 6
