Answer: Let the 2 numbers be x and
sum of two numbers is 28....Eq 1: x + y = 28
sum of 6 times the 1st number and 3 times the 2nd number is 105....Eq 2: 6x + 3y = 105
Rearrange Eq 1 to solve for x.
x + y = 28
x = 28 - y --> Substitute into Eq 2, you get
6(28 - y) + 3y = 105
168 - 6y + 3y = 105
-3y = -63
y = -63 / -3 = 21
Now solve for x using Eq 1.
x = 28 - y = 28 - 21 = 7
hope it helped
Step-by-step explanation:
Find the length of the field first. To do this, write a formula for the perimeter, P, of the field: P = 210 ft = 2(45 ft) + 2L.
Then 2L = 210 - 90 = 120, and L = 60 (feet).
The area of the field is thus WL = (45 ft)(60 ft) = 2700 sq ft
The answer to your question is 27.
Hope it helps!
Answer:
So, we purchased 9 songs and 4 games for 20.1$.
So, we purchased 10 songs and 6 games for 25.5$.
So, we purchased 10 songs and 10 games for 33.9$.
Step-by-step explanation:
We have receive a $35 gift certificate from an online retailer that sells digital music and games. Each song costs $1.29 and each game costs $2.10.
First case:
![9\cdot 1.29=11.61\\\\4\cdot 2.10=8.4\\\\8.4+11.61=20.01](https://tex.z-dn.net/?f=9%5Ccdot%201.29%3D11.61%5C%5C%5C%5C4%5Ccdot%202.10%3D8.4%5C%5C%5C%5C8.4%2B11.61%3D20.01)
So, we purchased 9 songs and 4 games for 20.1$. We have 13 items for 20.1$.
Second case:
![10\cdot 1.29=12.9\\\\6\cdot 2.10=12.6\\\\12.9+12.6=25.5](https://tex.z-dn.net/?f=10%5Ccdot%201.29%3D12.9%5C%5C%5C%5C6%5Ccdot%202.10%3D12.6%5C%5C%5C%5C12.9%2B12.6%3D25.5)
So, we purchased 10 songs and 6 games for 25.5$. We have 16 items for 25.5$.
Third case:
![10\cdot 1.29=12.9\\\\10\cdot 2.10=21\\\\12.9+21=33.9](https://tex.z-dn.net/?f=10%5Ccdot%201.29%3D12.9%5C%5C%5C%5C10%5Ccdot%202.10%3D21%5C%5C%5C%5C12.9%2B21%3D33.9)
So, we purchased 10 songs and 10 games for 33.9$. We have 20 items for 33.9$.
The answer would be E(c)= 15c