Step-by-step explanation:
Let Xb be the no of braclets made
Let Xn be the no of necklaces made
Max Z=250Xb + 500Xn (Objective Function)
Subject to
2Xb + 5Xn <= 625 (rubies)
3Xb + 7 Xn <= 800 ( diamonds)
4Xb + 3 Xn <= 700 (Emeralds)
Xb>=0 (non-negativity)
Xn >= 0 (non negativity
Answer:
Yup it’s d
Step-by-step explanation:
Answer:
n = -7
Step-by-step explanation:
Solve for n:
-3 n - 5 = 16
Hint: | Isolate terms with n to the left-hand side.
Add 5 to both sides:
(5 - 5) - 3 n = 5 + 16
Hint: | Look for the difference of two identical terms.
5 - 5 = 0:
-3 n = 16 + 5
Hint: | Evaluate 16 + 5.
16 + 5 = 21:
-3 n = 21
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of -3 n = 21 by -3:
(-3 n)/(-3) = 21/(-3)
Hint: | Any nonzero number divided by itself is one.
(-3)/(-3) = 1:
n = 21/(-3)
Hint: | Reduce 21/(-3) to lowest terms. Start by finding the GCD of 21 and -3.
The gcd of 21 and -3 is 3, so 21/(-3) = (3×7)/(3 (-1)) = 3/3×7/(-1) = 7/(-1):
n = 7/(-1)
Hint: | Simplify the sign of 7/(-1).
Multiply numerator and denominator of 7/(-1) by -1:
Answer: n = -7
Add 5 on both sides
Make the denominators the same
Multiply 13 on both sides
Answer:
- y = -3/5x - 6 or 3x + 5y = -30
Step-by-step explanation:
<u>Given line:</u>
<u>Converting into slope-intercept form:</u>
- 3x + 5y = 15
- 5y = - 3x + 15
- y = -3/5x + 3
<u>Parallel lines have the same slope, so the parallel line will be:</u>
<u>Using given point (-5, -3) finding the y-intercept:</u>
- -3 = -3/5(-5) + b
- -3 = 3 + b
- b = -3 - 3
- b = -6
<u>So the line is:</u>
<u>Or converted into standard form:</u>
- y = - 3/5x - 6
- 3/5x + y = -6
- 3x + 5y = -30
