We have
Multiplying through by 1100,
Squaring (which means we need to check later),
Clearly there's no way that giant number would work; must be extraneous.
Answer: 3.94
Merry Christmas!
Answer:
- x = 4
- length = 19 ft
- width = 11 ft
Step-by-step explanation:
The area is given by the product of length and width.
A = LW
209 = (4x +3)(4x -5)
209 = 16x^2 -8x -15
224 = 16x^2 -8x
You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".
14 = x^2 -(1/2)x
14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient
(x -0.25)^2 = 14.0625
x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25
Only positive values of x are useful here, so we have
x = 4
Then the dimensions are ...
length = 4x +3 = 4(4) +3 = 19 . . . feet
width = 4x -5 = 16 -5 = 11 . . . feet
Answer:
The smaller number equals 12, the larger number equals 51.
Step-by-step explanation:
x + (3x + 15) = 63
Combine like terms.
4x + 15 = 63
Subtract 15 from both sides.
4x + (15 -15) = (63 - 15)
4x = 48
Divide both sides by 4.
4x/4 = 48/4
x = 12
Check answer.
12 + (3(12) + 15) = 63
12 + 36 + 15 = 63
63 = 63
Answer:
96,220
Step-by-step explanation:
187,400 x .3 (30%)= 56,220
56220+40000= *96,220
Answer:
54 cm
Step-by-step explanation:
Measures are proportional on a scale drawing:
drawing measure : actual measure = 6 cm : 3 m = x : 27 m
The value on the right of the x ratio, 27, is 9 times 3, so the value of x will be 9 times 6 cm.
54 cm on the blueprint represents an actual distance of 27 meters.
