Answer:
it is false because, in the equation 84 does not equal 84.
Step-by-step explanation:
Hope I could help, if you need the equation let me know! :)
7/2=y/3
21=2y
Y=21/2
Hope this helps!
You can calculate it using the law of cosines: c^2=a^2+b^2-2*a*b*cos(C)
your triangle is
CD=15=a
CE=?=b
DE=CE+3=b+3=c
and C=90°
-> insert those values, with c substituted with b+3 to remove c
c^2=a^2+b^2-2*a*b*cos(C)
(b+3)^2=15^2+b^2-2*15*b*cos(90)
cos(90)=0->
(b+3)^2=15^2+b^2
b^2+2*3*b+3^2=225+b^2
6b+9=225
6b=216
b=36=CE
DE=CE+3=36+3=39
Answer:
The amount each took home was 20 unit currency.
Step-by-step explanation:
We are given that Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140 apples, went to market and sold all their apples at the same price, and each received the same sum of money.
Formula :
,
,
,
,
,
, ![(a + 6 \cdot b) \cdot n + (n - 7)](https://tex.z-dn.net/?f=%28a%20%2B%206%20%5Ccdot%20b%29%20%5Ccdot%20n%20%2B%20%28n%20-%207%29)
![a \cdot n + (n - 1) = 20](https://tex.z-dn.net/?f=a%20%5Ccdot%20n%20%2B%20%28n%20-%201%29%20%3D%2020)
![(a + b) \cdot n + (n - 2)=40](https://tex.z-dn.net/?f=%28a%20%2B%20b%29%20%5Ccdot%20n%20%2B%20%28n%20-%202%29%3D40)
![(a + 2 \cdot b) \cdot n + (n - 3) = 60](https://tex.z-dn.net/?f=%28a%20%2B%202%20%5Ccdot%20b%29%20%5Ccdot%20n%20%2B%20%28n%20-%203%29%20%3D%2060)
![(a + 3 \cdot b) \cdot n + (n - 4) = 80](https://tex.z-dn.net/?f=%28a%20%2B%203%20%5Ccdot%20b%29%20%5Ccdot%20n%20%2B%20%28n%20-%204%29%20%3D%2080)
![(a + 4 \cdot b) \cdot n + (n - 5) = 100](https://tex.z-dn.net/?f=%28a%20%2B%204%20%5Ccdot%20b%29%20%5Ccdot%20n%20%2B%20%28n%20-%205%29%20%3D%20100)
![(a + 5 \cdot b) \cdot n + (n - 6) = 120](https://tex.z-dn.net/?f=%28a%20%2B%205%20%5Ccdot%20b%29%20%5Ccdot%20n%20%2B%20%28n%20-%206%29%20%3D%20120)
![(a + 6 \cdot b) \cdot n + (n - 7) = 140](https://tex.z-dn.net/?f=%28a%20%2B%206%20%5Ccdot%20b%29%20%5Ccdot%20n%20%2B%20%28n%20-%207%29%20%3D%20140)
On solving :
n = 7, a = 2, b = 3
So,
![2 \times 7 + 6 = 20](https://tex.z-dn.net/?f=2%20%5Ctimes%207%20%2B%206%20%3D%2020)
![5 \times 7 + 5=40](https://tex.z-dn.net/?f=5%20%5Ctimes%207%20%2B%205%3D40)
![8 \times 7 + 4 = 60](https://tex.z-dn.net/?f=8%20%5Ctimes%207%20%2B%204%20%3D%2060)
![11 \times 7 + 3 = 80](https://tex.z-dn.net/?f=11%20%5Ctimes%207%20%2B%20%203%20%3D%2080)
![14 \times 7 + 2 = 100](https://tex.z-dn.net/?f=14%20%5Ctimes%207%20%2B%202%20%3D%20100)
![17 \times 7 + 1 = 120](https://tex.z-dn.net/?f=17%20%5Ctimes%207%20%2B%201%20%3D%20120)
Based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount :
2×1 + 6×3 = 20
5×1 + 5×3=20
8×1 + 4×3 = 20
11×1 + 3×3 = 20
14×1 + 2×3 = 20
17×1 + 1×3 = 20
20×1 = 20
Therefore, the amount each took home was 20 unit currency.