Answer:
In order to maximize profit of $3700 we need to produce 50 units of Chairs and 9 units of Sofa
Step-by-step explanation:
Let X be the number of units of Chairs produced and Y be the number of units of Sofa to be produced
wood foam rubber square yards of material Selling Price
Chairs 20X 1X 2X = $20X
<u>Sofa 100Y 50Y 20Y = $300Y</u>
1900 500 240
20x+100y=1900
x+50y=500
2x+20y=240
use equation 2 to find the value of x
x= 500-50y
Substitute value of x in equation 3
2(500-50y) + 20y= 240
1000-100y + 20y = 240
1000-240 = 100y-20y
760 = 80y
y= 9.5 ≈ 9 units ( since we can't make half of any product )
Put value of y in equation 2
x= 500- 50 ( 9)
x= 50 units
Maximize profit = 20X + 300Y
= 20(50) + 300( 9)
= $3700
Answer:
1. x=-5
2. x=24
3. -1x+19
4. 14w²-4w
5. 5x-15
6. 11a²b-12ab²
7. 6x+4
8. x=15
9. x=-12
10. x=3
11. x=20
Step-by-step explanation:
1.
15x-24-4x=-79 We have to add the like terms
+24 +24
15x-4x=-55 Subtract 15x-4x
11x=-55 Now divide
/11 /11
x=-5
2.
3(2x-5)-4x=33 Use distributive property
6x-15-4x=33 Add like terms
+15 +15
6x-4x=48 Subtract 6x-4x
2x=48 Divide
/2 /2
x=24
3.
6x+4+15-7x Combine 6x and -7x
-1x+4+15 Now combine 4 and 14
-1x+19
4.
6w²+11w+8w²-15w Combine 11w and -15w
6w²+8w²-4w Now combine 8w² and 6w²
14w²-4w
5.
12x-5-7x-11 Combine -5 and -11
12x-7x-15 Now subtract 12x-7x
5x-15
6.
11a²b-12ab²
Nothing else can be done with this equation
7.
2(3x+2)
6x+4
8.
x/5=3
5×3=15
15=x
9.
2/3x=-8
-4×2=-8
-4×3=-12
x=-12
10.
9x-11=-38
+11 +11
9x=-27
/9 /9
x=3
11.
-x/5+3=7
-3 -3
-x/5=4
-x=-20
x=20
Answer:
the midpoint of segment is:
Step-by-step explanation:
We need to find the midpoint of the segment (3,5) and (-6,-6)
Using the midpoint formula:
here x₁ = 3, x₂= -6, y₁=5 and y₂=-6
Putting values and finding the midpoint:
So, the midpoint of segment is:
Answer:No. A strong correlation does not imply causation.
Step-by-step explanation:
Cause and effect relationship is not explained by correlations. A cause and effect relationship can only be established by carrying out carefully controlled experiments.
Hence, a strong correlation between the the intake of soda and accidents does not necessarily imply that soda intake causes accident.
A lurking variable in this study may be the speed of the drivers. A lurking variable is not controlled but significantly impacts results obtained from the study.
Since the speed of the drivers is not strictly controlled, it may just be a lurking variable.