So we cant go over $250
35+20n=250
now that i put the question in an expression we can take the 35 away from both sides
35+20n=250
-35. -35
_____________
20n=215
now divide 20 by both sides to get (n) alone
20n=215
________
20
n= 10.75
we round down because we cannot exceed the limit, thus
ANSWER: 10 months
Brittney was tracking the increasing temperature in the morning, it was 68 degrees fahrenheit at 8 a.m., and 74 degrees fahrenheit at 10 a.m. If Brittany made the function f(x) = 3x + 36, the number '36' would represent the temperature at midnight.
Area of rectangle = lb = 47 m^2
Dilation by a factor of 7 results in 1/7 l x 1/7 b = 1/49 lb = 1/49 (47) = 47/49 = 0.9592
His average pay was:
Answer:
£1350
----------- = £8.44/hr based upon 160 work hours per week
160 hr
Step-by-step explanation:
We must assume that Han works a standard 40-hour week, and that there are 4 weeks in each month. That comes to 160 hours.
Then his average hourly pay rate was
£1350
--------- = £8.44
160 hr
Answer:
q = -13
Step-by-step explanation:
The given equation is:
Taking 2 as common from left hand side, we get:
![2(x^{2}-4x)=5\\\\2[x^{2} - 2(x)(2)]=5](https://tex.z-dn.net/?f=2%28x%5E%7B2%7D-4x%29%3D5%5C%5C%5C%5C2%5Bx%5E%7B2%7D%20-%202%28x%29%282%29%5D%3D5)
The square of difference is written as:
Equation 1
If we compare the given equation from previous step to formula in Equation 1, we note that we have square of first term(x), twice the product of 1st term(x) and second term(2) and the square of second term(2) is missing. So in order to complete the square we need to add and subtract square of 2 to right hand side. i.e.
![2[x^{2}-2(x)(2)+(2)^2-(2)^{2}]=5\\\\ 2[x^{2}-2(x)(2)+(2)^2]-2(2)^{2}=5\\\\ 2(x-2)^{2}-2(4)=5\\\\ 2(x-2)^2-8=5\\\\ 2(x-2)^{2}-8-5=0\\\\ 2(x-2)^{2}-13=0](https://tex.z-dn.net/?f=2%5Bx%5E%7B2%7D-2%28x%29%282%29%2B%282%29%5E2-%282%29%5E%7B2%7D%5D%3D5%5C%5C%5C%5C%202%5Bx%5E%7B2%7D-2%28x%29%282%29%2B%282%29%5E2%5D-2%282%29%5E%7B2%7D%3D5%5C%5C%5C%5C%202%28x-2%29%5E%7B2%7D-2%284%29%3D5%5C%5C%5C%5C%202%28x-2%29%5E2-8%3D5%5C%5C%5C%5C%202%28x-2%29%5E%7B2%7D-8-5%3D0%5C%5C%5C%5C%202%28x-2%29%5E%7B2%7D-13%3D0)
Comparing the above equation with the given equation:
, we can say:
p = 2 and q= -13
