A team of three laborers in Mongolia makes rugs by hand for export to the United States. The team works 14 hours a day, six days a week, 50 weeks a year, and is able to make 12 rugs a year. Each laborer is paid a wage that is equivalent to $1.10 per day. The rugs sell for $2,000 each in the United States.
Answers
3 laborers
works 14 hours a day, 6 days a week, 50 weeks a year
makes 12 rugs a year
material cost 50 per rug
Each laborer is paid a wage of 1.10 per day
rugs sell for 2,000 each in the US
fixed cost 10,000 per year
1.10 per day * # days per year * 3 laborers
50 weeks;/y * 6 days/week = 50 * 6 = 300 days a year
1.10 per day * 300 days a year * 3 laborers = 990 total labor cost
total material cost:
50 per rug * 12 rugs = 600
total revenue:
2,000 x 12 rugs = 24,000
total profit:
total revenue: 24,000
less:
material cost 600
labor cost 990
fixed cost 10,000
profit 12,410
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Answers
Hope this helps :)
just add then multiply
Answers
Answer:
Sarah has $18, and Lance has $42.
Step-by-step explanation:
We know that Sarah and Lance together have $60, so we can write the equation:
S + L = 60
We also know that Lance has six more than twice as much as Sarah, which can be expressed as:
L = 2S + 6
Now, we have a system of two equations:
S + L = 60
L = 2S + 6
We can use substitution or elimination to solve this system. Let's use substitution:
From equation 2, we can express L in terms of S:
L = 2S + 6
Now, substitute this expression for L into equation 1:
S + (2S + 6) = 60
Combine like terms:
3S + 6 = 60
Subtract 6 from both sides:
3S = 60 - 6
3S = 54
Now, divide by 3:
S = 54 / 3
S = 18
So, Sarah has $18.
Now, we can find Lance's amount using equation 2:
L = 2S + 6
L = 2(18) + 6
L = 36 + 6
L = 42
Lance has $42.
Answers
y ≤ -3x - 6
y ≤ x - 2
-3x - 6 = x - 2
+ 3x + 3x
-6 = 4x - 2
+ 2 + 2
-4 = 4x
-4 -4
-1 = x
y = x - 2
y = -1 - 2
y = -3
(x, y) = (-1, -3)
The answer is C.
Answers
We want to use a coordinate plane to find the area of the given rectangle.
We will see that the area is 36 units squared.
So we only know the vertices of the rectangle, which are:
- (-4, 9)
- (-4, -3)
- (-1, -3)
- (-1, 9).
The first thing we can do, is graph these in a coordinate axis so we can see our rectangle.
Below you can see the graph of the rectangle where the four vertices are graphed and I drew the sides of the rectangle.
Now that it is graphed is easy to see the measures of each side, one side measures 3 units (from -1 to -4 on the x-value) and the other side measures 12 units (from -3 to 9 on the y-value)
Then the area of the rectangle is:
A = 3*12 = 36 square units.
If you want to learn more about rectangles and areas, you can read:
the formula for area of a rectangle is
Area = length x width
since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting
(-4,9) (-4,-3)
these points lie on the same x axis, so they create a vertical line
9-(-3) = 12
12 units is the distance between them
(-4,-3) (-1,-3)
these points lie on the same y axis, so they create a horizontal line
-1-(-4) = 3
3 units is the distance between them
now that we have the length and the width, we can find the area
A = 12 x 3
A = 36 units²
Answers
The correct option is option D as 2cos²(x)cos²(x) simplifies as follows:
2cos²(x)cos²(x) = {3 + 4cos(2x) + cos(4x)} / 4
Simplification:
The given expression is : 2cos²(x)cos²(x)
The square identity for cosine is given by:
2cos²(x) -1 = cos(2x)
Thus,
2cos²(x) = {cos(2x) +1}
simplifying again,
cos²(x) = {cos(2x) +1}/2
Simplifying the above using squared identities:
2cos²(x)cos²(x) = {cos(2x) +1}cos²x
= {cos(2x) +1} {{cos(2x) +1}/2}
so,
2cos²(x)cos²(x) = {3 + 4cos(2x) + cos(4x)} / 4
Hence option D is correct.
Learn more about squared identities:
Answer:
D
Step-by-step explanation:
B. About 40%
C. About 60%
D. About 50%
Answers
The area of the circle is
So, the probability of selecting a random point in the white space is
Answer:
about 60%
Step-by-step explanation:
just took the test