Barry is lifting one end of a post so that it will be perpendicular to the ground. He has already lifted it 49° from the ground,
2 answers:
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58): Solution =====> Letter Choice, (C) 1.25m = 1.50(m - 2)
Let's solve your equation step-by-step.
1.25m = 1.5(m − 2)
Step 1: Simplify both sides of the equation.
1.25m = 1.5(m − 2)
1.25m = (1.5)(m) + (1.5)(−2) (Distribute)
1.25m = 1.5m + −3
1.25m = 1.5m − 3
Step 2: Subtract 1.5m from both sides.
1.25m − 1.5m = 1.5m − 3 − 1.5m
−0.25m = −3
Step 3: Divide both sides by -0.25.
-0.25m/ -0.25 = -3/ -0.25
m =========> 12
Answer ===========> m = 12
59): Let your Number be: D
Solution: =====> 7D = 5D - 3 =====> -3/2 =====> -1.5
Seven Times a number:
7 * D or 7(D)
Three Less than Five Times that Number:
5D - 3
7D = 5D - 3
Solve for D:
7D = 5D - 3
Subtract 5D from both sides:
7D - 5D = 5D - 3 - 5D
2D = -3
Divide both sides by 2:
2D/2 = -3/2
D = -3/2
Answer ==> D ====> -3/2 ========> Letter Choice, (F) - 1.5
60): Letter Choice, (C), 3x - 9 = 5x
Let's solve your equation step-by-step.
3x − 9 = 5x
Step 1: Subtract 5x from both sides.
3x − 9 − 5x = 5x − 5x
−2x − 9 = 0
Step 2: Add 9 to both sides.
−2x − 9 + 9 = 0 + 9
−2x = 9
Step 3: Divide both sides by -2.
-2x/ -2 = 9/ -2
x = -9/2
Answer ========> x = -9/2 =======> 4.5
61): Subtract:
500 - 120
= 380
Need to total 500:
380
Find Number of Weeks Divide:
380/20 = 19 Weeks
7 * 19 = 133
Days it will take Nichole to save $500.00 =======> 133 Days
62): Gridded Response:
Solve:
- 2(x - 1 ) + 5x = 2(2x - 1 ) ======> x = 4
( -2 )(x) + ( -2)( - 1 ) + 5x = (2)(2x) + (2)( - 1 )
Distribute:
- 2x + 2 + 5x = 4x + - 2
( - 2x + 5x ) + (2) = 4x - 2 (Combine Like terms):
3x + 2 = 4x - 2
3x + 2 = 4x - 2
Subtract 4x From both sides:
3x + 2 - 4x = 4x - 2 - 4x - x + 2 = -2
Subtract 2 from both sides:
-x + 2 - 2 = -2 - 2
-x = -4
Divide both sides by -1:
-x/ -1 = -4/ -1
x = 4
Answer =====> x = 4 Check the Graph down below for Gridded Response on Number 62.
Hope that helps!!! : ) _P_
Answer:
A. see below for a graph
B. f(x, y) = f(0, 15) = 90 is the maximum point
Step-by-step explanation:
A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)
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B. For f(x, y) = 4x +6y, we have ...
f(0, 0) = 0
f(0, 15) = 6·15 = 90 . . . . . the maximum point
f(10, 0) = 4·10 = 40
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<em>Comment on evaluating the objective function</em>
I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.
