The answer is <span>twelve sevenths (12/7)
</span>
x - the job<span>
t - time to do the job x
</span><span>Robin can mow a lawn in 3 hours: x/3 * t
</span><span>Brady can mow the same lawn in 4 hours: x/4 * t
</span><span>If they work together, the total work will
be the sum of their speeds:
</span>x = x/3 * t + x/4 * t = (x/3 + x/4)*t = (4x/12 + 3x/12) * t = 7x/12 * t
x = 7x/12 * t
Divide both sides by x:
x/x = 7x/12 * t/x
1 = 7/12 t
t = 1 : 7/12
t = 12/7
0=4(x²+8x+16)-12
0=4x²+32x+64-12
0=4x²+32x+52
0=x²+8x+13
D=b²-4ac
D=64-52=12
x=(-b-√D)/2a
x=(-b+√D)/2a
x=(-8-2√3)/2= (-2(4+√3))/2= -(4+√3)
AND
x=(-8+2√3)/2=-2(4-√3)/2= -(4-√3)
Answer:
x = 4
Step-by-step explanation:
6(6 + x) = 5(5 + x + 3) => secant secant theorem
36 + 6x = 5(8 + x)
36 + 6x = 40 + 5x
Subtract 36 from each side
36 + 6x - 36 = 40 + 5x - 36
6x = 4 + 5x
Subtract 5x from each side
6x - 5x = 4 + 5x - 5x
x = 4
Answer:
The range of numbers that Nidhi might be thinking of is between 3 and 9.
Step-by-step explanation:
We are given that Nidhi is thinking of a number n, and she wants her sister to guess the number.
Her first clue is that eight less than three times her number is between one and nineteen.
Let the number Nidhi is thinking be 'n'.
So, eight less than three times her number means that;
Now, according to the question; the above equation is between one and nineteen, so;
Adding 8 to the whole expression;
Dividing the whole expression by 3;
Hence, the range of numbers that Nidhi might be thinking of is between 3 and 9.
