Answer:
i think probably x = 1 or 5
Step-by-step explanation:
x²-6x+5 =0
so (x-1)(x-5) = 0
so x = 1 or 5
Answer:
6/9 ÷ 4/7 = 1 1/6
Step-by-step explanation:
flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other
Answer:
Frog 1 - 8 feet 3 inches =
8 feet x (1 yard/3 feet) = 2.667 Yards
3 inches x (1 foot /12 inches) x ( 1 yard / 3 feet) = 0.83 yards
So Frog 1 = 2.75 Yard
Frog 2 - 2 yards 36 inches
36 inches x (1 foot /12 inches) x (1 yard / 3 feet) = 1 Yard
So Frog 2 = 3 yards
Frog 2 won
It won by 3 - 2.75 = 0.25 Yards
0.25 yards x (3 feet / 1 yard) = 0.75 feet
0.75 feet x (12 inches /1 foot) = 9 inches
<u>So Frog 2 won by 9 inches</u>
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
_____
In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
The equation is
9 × g = 162
9g = 162
Solving foe Gall's age,
9g = 162
g = 162 ÷ 9
g = 18
