Your answer is 62.5. Hope i helped
The slope intercept form would be y= -1/2x + 1 and to get it into standard form all you have to do is move the -1/2 x to the other side, making it 1/2x + y = 1
<span>Let x=one number and x+12= the other number. Together the numbers=54. Set up the equation: x+x+12=54; Combine the variables; 2x+12=54; Subtract 12 from both sides of the equation; 2x=42; Divide both sides of the equation by 2; x=21 is one number and 21+12=33 is the other number. Check: 2(21) +12=54; 42+12=54; 54=54.</span>
Answer:
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
Step-by-step explanation:
Let
x = $0.85 per pound
y = $2.70 per pound
x + y = 21 (1)
0.85x + 2.70y = 19.95 (2)
From (1)
x = 21 - y
Substitute x = 21 - y into (2)
0.85x + 2.70y = 19.95 (2)
0.85(21 - y) + 2.70y = 19.95
17.85 - 0.85y + 2.70y = 19.95
- 0.85y + 2.70y = 19.95 - 17.85
1.85y = 2.1
y = 2.1 / 1.85
y = 1.14
Substitute y = 1.14 into (2)
0.85x + 2.70y = 19.95
0.85x + 2.70(1.14) = 19.95
0.85x + 3.078 = 19.95
0.85x = 19.95 - 3.078
0.85x = 16.872
x = 16.872 / 0.85
x = 19.85
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
