Answer: 120 cubed units
Step-by-step explanation: The area of a cube is lwh (length×width×height) which in this case is 5×4×6=120!
Answer:63
Step-by-step explanation:
since it asks for boxes of crayons that are 4.20 then you multiply x15 times to get your answer
Answer:
The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).
Step-by-step explanation:
We have to solve the given quadratic equation of single variable t.
The equation is 16 = 2t + 0.25t²
⇒ 0.25t² + 2t - 16 = 0
⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}
⇒ 25t² + 200t + 400 - 400 - 1600 = 0
⇒ (5t + 20)² - 2000 = 0
⇒ (5t + 20)² - (20√5)² = 0
⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0
So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0
⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0
⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)
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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
