Answer:
1 hot dog costs $0.75
1 bratwurst costs $1.35
Step-by-step explanation:
Let x and y be the price per dozen of hot dogs and bratwursts respectively.
The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for $282.60
8x + 13y = 282.60
The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $333.00
10x + 15y = 333
and we have the linear system
<em>8x + 13y = 282.60
</em>
<em>10x + 15y = 333
</em>
which can be written in matrix form as
The solution would be given by
We have
hence
Now,
if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75
if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35
Answer: 385 cm
Step-by-step explanation: V= l*w*h
V= 7*5*11
= 385
Answer:
A one solution I hope that help
(c+4/c^2+5c+6)/(3c^2+12c/2c^2+5c-3)= (c+4)/(c^2+5c+6) Multiplied by (2c^2+5c-3)/3c^2+12c= 2c^3+5c^2-3c+8c^2+20c-12/3c^4+12c^3+15c^3+60c^2+18c^2+72= 2c^3+13c^2+17c-12/3c^4+27c^3+78c^2+72c
Answer:
The answer is t=1/9
Step-by-step explanation:
If we substitute sqrt(t) = u, then we can write the equation as 3u^2+5u-2=0.
Using the <em>quadratic formula</em>, we can solve that <u>u = 1/3 and u = -2.</u>
We can go back to our original substitution and say that <em>sqrt(t) = 1/3</em>. The sqrt(t) can not be -2 because a <u>square root can not be negative.</u>
If we solve the equation sqrt(t) = 1/3, we get that t=1/9.
