Answer:
yes
Step-by-step explanation:
because its true
Answer:
A) Both estimates are slightly larger, so it is reasonable.
Step-by-step explanation:
Since 1/2 = 5/10
And 1/5 = 8/40
<u>Both estimates are larger</u>
1. C(x, y) = (7.3, –3.9)
2. C(x, y) = (17, –1.5)
Solution:
Question 1:
Let the points are A(3, –5) and B(19, –1).
C is the point that on the segment AB in the fraction
.
Point divides segment in the ratio formula:
![$C(x, y)=\left(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n}\right)](https://tex.z-dn.net/?f=%24C%28x%2C%20y%29%3D%5Cleft%28%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%20%2C%20%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5Cright%29)
Here,
and m = 3, n = 8
![$C(x, y)=\left(\frac{3\times19+8\times3}{3+8} , \frac{3\times(-1)+8\times(-5)}{3+8}\right)](https://tex.z-dn.net/?f=%24C%28x%2C%20y%29%3D%5Cleft%28%5Cfrac%7B3%5Ctimes19%2B8%5Ctimes3%7D%7B3%2B8%7D%20%2C%20%5Cfrac%7B3%5Ctimes%28-1%29%2B8%5Ctimes%28-5%29%7D%7B3%2B8%7D%5Cright%29)
![$=\left(\frac{57+24}{11} , \frac{-3-40}{11}\right)](https://tex.z-dn.net/?f=%24%3D%5Cleft%28%5Cfrac%7B57%2B24%7D%7B11%7D%20%2C%20%5Cfrac%7B-3-40%7D%7B11%7D%5Cright%29)
![$=\left(\frac{81}{11} , \frac{-43}{11}\right)](https://tex.z-dn.net/?f=%24%3D%5Cleft%28%5Cfrac%7B81%7D%7B11%7D%20%2C%20%5Cfrac%7B-43%7D%7B11%7D%5Cright%29)
C(x, y) = (7.3, –3.9)
Question 2:
Let the points are A(3, –5) and B(19, –1).
C is the point that on the segment AB in the fraction
.
Point divides segment in the ratio formula:
![$C(x, y)=\left(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n}\right)](https://tex.z-dn.net/?f=%24C%28x%2C%20y%29%3D%5Cleft%28%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%20%2C%20%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5Cright%29)
Here,
and m = 7, n = 1
![$C(x, y)=\left(\frac{7\times19+1\times3}{7+1} , \frac{7\times(-1)+1\times(-5)}{7+1}\right)](https://tex.z-dn.net/?f=%24C%28x%2C%20y%29%3D%5Cleft%28%5Cfrac%7B7%5Ctimes19%2B1%5Ctimes3%7D%7B7%2B1%7D%20%2C%20%5Cfrac%7B7%5Ctimes%28-1%29%2B1%5Ctimes%28-5%29%7D%7B7%2B1%7D%5Cright%29)
![$=\left(\frac{133+3}{8} , \frac{-7-5}{8}\right)](https://tex.z-dn.net/?f=%24%3D%5Cleft%28%5Cfrac%7B133%2B3%7D%7B8%7D%20%2C%20%5Cfrac%7B-7-5%7D%7B8%7D%5Cright%29)
![$=\left(\frac{136}{8} , \frac{-12}{8}\right)](https://tex.z-dn.net/?f=%24%3D%5Cleft%28%5Cfrac%7B136%7D%7B8%7D%20%2C%20%5Cfrac%7B-12%7D%7B8%7D%5Cright%29)
C(x, y) = (17, –1.5)
Answer:
30 weeks
Step-by-step explanation:
7.25 x 20 = 1 WEEK
1 WEEK= 145$
4,350 divided by 145=30
30 weeks