Answer:
$51.38
Step-by-step explanation:
7.43% of 47.83=(rounded to the nearest hundredth) 3.55
7.43/100*x/47.83
x=3.55
because we are solving for x
we can also cross check by taking out the percentage
x/100*3.55/47.83
47.83x=355
x=7.42212000836
which is about 7.43%
47.83+3.55= 51.38
Answer:
<h2>
x + 3y = 7 </h2>
Step-by-step explanation:
The equation of a line which passes through <em>(x₁, y₁)</em> and with slope of <em>m</em> in point-slope form:
y - y₁ = m(x - x₁)
m = -¹/₃
(1, 2) ⇒ x₁ = 1, y₁ = 2
Therefore, the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:
y - 2 = -¹/₃(x - 1)
y - 2 = -¹/₃x + ¹/₃ {add ¹/₃x to both sides}
¹/₃x + y - 2 = ¹/₃ {add 2 to both sides}
¹/₃x + y = 2¹/₃ {multiply both sides by 3}
x + 3y = 7
Answer:
14-1=13 range= 13
Step-by-step explanation:
The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
So hmmm let's do the left-hand-side first
![\bf \cfrac{sec(x)-csc(x)}{sec(x)+csc(x)}\implies \cfrac{\frac{1}{cos(x)}-\frac{1}{sin(x)}}{\frac{1}{cos(x)}+\frac{1}{sin(x)}}\implies \cfrac{\frac{sin(x)-cos(x)}{cos(x)sin(x)}}{\frac{sin(x)+cos(x)}{cos(x)sin(x)}} \\\\\\ \cfrac{sin(x)-cos(x)}{cos(x)sin(x)}\cdot \cfrac{cos(x)sin(x)}{sin(x)+cos(x)}\implies \boxed{\cfrac{sin(x)-cos(x)}{sin(x)+cos(x)}}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bsec%28x%29-csc%28x%29%7D%7Bsec%28x%29%2Bcsc%28x%29%7D%5Cimplies%20%5Ccfrac%7B%5Cfrac%7B1%7D%7Bcos%28x%29%7D-%5Cfrac%7B1%7D%7Bsin%28x%29%7D%7D%7B%5Cfrac%7B1%7D%7Bcos%28x%29%7D%2B%5Cfrac%7B1%7D%7Bsin%28x%29%7D%7D%5Cimplies%20%0A%5Ccfrac%7B%5Cfrac%7Bsin%28x%29-cos%28x%29%7D%7Bcos%28x%29sin%28x%29%7D%7D%7B%5Cfrac%7Bsin%28x%29%2Bcos%28x%29%7D%7Bcos%28x%29sin%28x%29%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Bsin%28x%29-cos%28x%29%7D%7Bcos%28x%29sin%28x%29%7D%5Ccdot%20%5Ccfrac%7Bcos%28x%29sin%28x%29%7D%7Bsin%28x%29%2Bcos%28x%29%7D%5Cimplies%20%5Cboxed%7B%5Ccfrac%7Bsin%28x%29-cos%28x%29%7D%7Bsin%28x%29%2Bcos%28x%29%7D%7D)
now, let's do the right-hand-side then