well, we know she ran 3½ miles, her brother that 5 times that much is simply 5 * 3½, well, let's first off convert the mixed fraction to improper fraction and then get its product.
![\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ 5\cdot 3\frac{1}{2}\implies 5\cdot \cfrac{7}{2}\implies \cfrac{5\cdot 7}{2}\implies \cfrac{35}{2}\implies 17\frac{1}{2}](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B2%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%205%5Ccdot%203%5Cfrac%7B1%7D%7B2%7D%5Cimplies%205%5Ccdot%20%5Ccfrac%7B7%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B5%5Ccdot%207%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B35%7D%7B2%7D%5Cimplies%2017%5Cfrac%7B1%7D%7B2%7D)
The equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8
<h3>Equation of a line</h3>
The equation of a line in point slope form is expressed as:
y - y1 = m(x-x1)
Given the equation y = -x + 2, the slope of the line parallel to the line is -1
Substitute the slope and point (-3, -5)
y -(-5) = -1(x - (-3))
y+5 = -(x + 3)
y+5 =-x - 3
y = -x - 3 - 5
y = -x - 8
Hence the equation for the line parallel to y = −x + 2 going through the point (−3, −5) is y = -x - 8
Learn more on equation of a line here: brainly.com/question/18831322
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Answer:
Final mean value = 24.
Mean value decreased by 6 finally.
Step-by-step explanation:
Total number of restaurant initially = 4
Mean number of tables in restaurants = 30
So, total number of tables in restaurants = 4×30 = 120
Now,
He buys 2 new restaurants with 15 tables and 9 tables .
So, final number of tables = 120 + 15 + 9 = 144.
And, final number of restaurants = 4 initially + 2 newly added = 6 restaurants.
Thus , final mean value of tables in restaurants =
= 24.
Thus , mean value decreased by 6 finally