1/2 * 1/2 = 1/4
Kailie has 1/4 of a chance of rolling 2 even numbers both times. Hopefully this helped you.
There are 540 fuses in total and the original price of the internet is $55.91
<h3>
How to work with percentages?</h3>
a) We know that 5% of the fuses are faulty, and there are 27 faulty fusses, then we can write:
5% = 27
100% = x
We want to find x, to do that, we can write:
x = 27*(100%/5%) = 27*20 = 540
There are 540 fuses in total.
b) Now we know that the original price is P, and when we decrease it by 7%, then new price is $52.00
Then we can write:
$52.00 = P*(1 - 7%/100%)
$52.00 = P*(0.93)
$52.00/0.93 = P = $55.91
The original price is $55.91
If you want to learn more about percentages:
brainly.com/question/843074
#SPJ1
6x^2-7x-3=0
Solve by completing the square:
x^2-7/6x-1/2=0 (divided everything by 6)
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bb, the coefficient of x.<span>(b/2)2=<span>(−7/12)<span>2
</span></span></span>x2−7x/6+<span>(−7/12)2</span>=1/2+<span>(−7/12)<span>2
(simplify)
</span></span><span><span>x2−<span>7x6</span>+49144=121144</span><span>x2-<span>7x6</span>+49144=121144</span></span>Factor the perfect trinomial square into <span><span>(x−7/12)</span>2</span><span><span><span>(x−7/12)</span>2</span>=<span>121/144
x-7/12=squ. root of +/- 121/144
x-7/12= +/- 11/12
Solution1:
x-7/12=11/12
x=18/12
x=3/2
Solution 2:
</span></span>x-7/12=-11/12
x=-4/12
<span>x=-1/3
</span>Answers: 3/2, -1/3