<span>4x^2-x-3=0
let us rewrite the equation in much simplified form:
x^2 - 0.25x - 0.75 = 0
</span><span>x^2 - 0.25x = 0.75
</span>x^2 - 1/4 x + 1/64 =3/4 + 1/64
(x-1/8)^2 = 49/64
x−<span>1/8</span>=±<span>49/64
</span><span><span>x1</span>=−<span>3/4
</span></span><span><span>x2</span>=1</span>
Answer:
44.000000001 (exact) or rounded up 44
Step-by-step explanation:
14.666666667*3 because 1 yard= 3 feet
The actual is 60 feet long, the drawing is only 1 foot long. So the scale factor must be 1/60. You know that the scale factor has to be less than one in this case because you're going from a bigger measurement to a smaller measurement(60 to 1).
Answer:
Victor originally had $80
Step-by-step explanation:
Let Victor have $4x
Let Susie have $7x
Since Victor spent half his money, he now has $2x
Susie spent $60 and thus now has $(7x - 60)
The final ratio of Victor's money to Susie's money is therefore 2x : $(7x - 60). This is given 1:2. Now we just need to solve the proportion by cross-multiplying
2x : (7x - 60) = 1:2
1 × (7x - 60) = 2 × 2x
7x - 60 = 4x
3x = 60
x = 20
Therefore Victor originally had $4x = $80.
Answer:
b=60
Step-by-step explanation:
6+4/5b=9/10b
-4/5b -4/5b
6=1/10b
divide both sides by 1/10
b=60
