Answer:
=24m/12m
=2m
Step-by-step explanation:
24m /12m
=2m
Use a variable for the unknown number so it would be 77-2x also if you don't know a number and a variable together means to multiply them
Answer:
2x - 3
Step-by-step explanation:
2x² - 7x + 6 / x - 2
Factorise the numerator(quadratic expression).
2x² -7x + 6
Find the factor of (2×6= 12 ) that add up to give -7 , the coefficient of x.
Factors = -4 and -3
Rewrite the equation
2x² -4x -3x + 6
2x(x - 2) -3(x -2)
( 2x - 3)(x - 2)
Therefore the expression would be
(2x -3)(x-2) / (x-2)
(x-2) divides (x-2) to give
= 2x - 3
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Answer:
The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.
Step-by-step explanation:
If x is the liters of 25% solution, and y is the liters of 10% solution, then:
x + y = 120
0.25x + 0.10y = 0.20(120)
Solve the system of equations using substitution or elimination. Using substitution:
0.25x + 0.10(120 − x) = 0.20(120)
0.25x + 12 − 0.10x = 24
0.15x = 12
x = 80
y = 40
The scientist needs 80 liters of 25% solution and 40 liters of 10% solution.
Let length = l
width = w
length = 3 times width = 3w
Area of the land = 75 sq. m
Area = length × width = 3w×w = 75
3w²=75
w²=25
w=5 m
length = 3×15 = 15m
Now lets make the figure with the path of width x meters
(Refer the attached figure for easy understanding)
The inner length is the length of the rectangle reduced by x meters on either side due to the path
that is 15-x-x = 15-2x
the inner width is the width reduced by x meters in either side
= 5-x-x = 5-2x
Now lets calculate the inner area = inner length × inner width
(15-2x)×(5-2x)
= 
= 
sq. m
Now the function to calculate the cost
f(x) is given by $3.00 × area of the inner land
f(x) = 3 × {75-40x+4x²)
= 225-120x+12x²
or
= 12x²-120x+225
