Because (4*3) + 3 = 15. Similary find the improper fraction for -2 1/2.
(15/4) / (-5/2) = -3/2
Convert -3/2 into a mixed fraction.
Therefore, -3/2 = -1 1/2.
Answer:
x = 26
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the given angles and equate to 180
55 + 4x - 5 + x = 180, that is
50 + 5x = 180 ( subtract 50 from both sides )
5x = 130 ( divide both sides by 5 )
x = 26
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Cost of large candle (a) = 25 each
Cost of small candles (y) = 10 each
Amount needed = $600
Number of each that must be sold to raise needed amount:
25a + 10y = 600.
Here a = number of large candles that must be sold at the price
y = number of small candles that must be sold at the price
Summing the revenue both should result in the required amount.
The general formula for a equation of the form:
is:
![x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
In this case we notice that a=1, b=-4 and c=3. Plugging this values in the general formula we get:
![\begin{gathered} x=\frac{-(-4)\pm\sqrt[]{(-4)^2-4(1)(3)}}{2(1)} \\ =\frac{4\pm\sqrt[]{16-12}}{2} \\ =\frac{4\pm\sqrt[]{4}}{2} \\ =\frac{4\pm2}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B-%28-4%29%5Cpm%5Csqrt%5B%5D%7B%28-4%29%5E2-4%281%29%283%29%7D%7D%7B2%281%29%7D%20%5C%5C%20%3D%5Cfrac%7B4%5Cpm%5Csqrt%5B%5D%7B16-12%7D%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B4%5Cpm%5Csqrt%5B%5D%7B4%7D%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B4%5Cpm2%7D%7B2%7D%20%5Cend%7Bgathered%7D)
then:
and
Therefore, x=3 or x=1.
