To answer this first we set up a proportion and then solve. Lets do it:-

Cross Multiply:-
80 · 4 = 320
Divide:-
420 ÷ 12 = 60
So, 180 ears of corn are for
$60.Hope I helped ya!!
Answer:
(2, 3).
Step-by-step explanation:
3x+2y=12
6x+3y=21 Multiply the first equation by 3 and the second by 2:
9x + 6y = 36
12x + 6y = 42 Subtract:
-3x = -6
x = -6/-3 = 2.
Plug x = 2 into the first equation:
3(2) + 2y = 12
2y = 12 - 3(2)
2y = 6
y = 3.
Answer:
Step-by-step explanation: ts 6 11 19 56
Laura, David, and Carlos served a total of 115 orders
David served 3 times as many orders as Carlos. David = 3x
Laura served 10 more orders than Carlos. let Carlos = x
How many orders did they each serve? Laura = x + 10
Carlos + David + Laura = 115
x + 3x + x+10 = 115
5x + 10 = 115
5x = 115 - 10
5x = 105
x = 21 Carlos
63 Davide
31 Laura
add then up 115 Total
Answer: -10 and 68
Step-by-step explanation:
We have the numbers, ordered from least to greatest:
11, 26, 29, 31, 43, 44, 47 and x.
The range is equal to the difference between the largest number and the smallest number, so, x can take two values.
The smallest number:
here we have that:
47 - x = 57
x = 47 - 57 = -10
The other possibility is that x is the largest number, in this case, we have that:
x - 11 = 57
x = 57 + 11 = 68.
Then the two possibla values of x are -10 and 68
Y=cos(2x+pi) - 2
y= - cos(2x) - 2
{ Since cos(x+pi) =-cos(x)}