The number of boxes of chopsticks that the manager order will be 30.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A Chinese café utilizes around 225 sets of chopsticks every day the supervisor needs to arrange a multi-day supply of chopsticks the crates come in of 750 sets
The number of chopsticks required in a month is given as,
⇒ 225 x 30
⇒ 6750
Then the number of boxes of chopsticks is given as,
⇒ 6750 / 225
⇒ 30
The number of boxes of chopsticks that the manager order will be 30.
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y is greater than or equal to negative 5 over 2 times x plus 5
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically. (4 points)
Answer:
:Part A) The graph in the attached figure (see the explanation)
Part B) The ordered pair is not included in the solution area for the system (see the explanation)
Step-by-step explanation:
Part A) we have
----> inequality A
The solution of the inequality A is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line is (0,-8)
The x-intercept of the dashed line is (2,0)
----> inequality B
The solution of the inequality B is the shaded area above the solid line
The slope of the solid line is negative
The y-intercept of the solid line is (0,5)
The x-intercept of the solid line is (2,0)
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Part B) is the point (5, -8) Included in the solution area for the system?
we know that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities
Substitute the value of x=5, y=-8 in each inequality and then analyze the results
Inequality A
----> is true
so
the ordered pair satisfy inequality A
Inequality B
---> is not true
so
the ordered pair not satisfy the inequality B
therefore
The ordered pair is not included in the solution area for the system
Hence Surface are of pyramid is
A pyramid with base as square is said square pyramid
Formula to calculate surface area=
where a =4 ,h=7
=
= 16+
=16+8*7.28
=16+58.24
=
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The surface area of the right square pyramid is calculated by adding the area of the square base (16 square inches) and the combined area of the triangular faces (56 square inches). Hence, the total surface area of the pyramid is 72 square inches.
To calculate the surface area of a square pyramid, you need to calculate the area of the base and the area of the four triangular sides. Firstly, the area of the square base is found using the formula A = s², where s is the side length. In this case, the base area (A) would be 4² = 16 square inches.
Secondly, to find the area of a single triangular face you use the formula A = 0.5*base*height, in this case, the base is the same as the square base and the height corresponds to the slant height (7 inches). Thus, the area for one triangle would be 0.5*4*7 = 14 square inches. As the pyramid has four equal triangular faces, to find the total area of these faces you would multiply 14 by 4 giving 56 square inches.
Finally, to find the total surface area of the pyramid, you add the base area and the area of the triangular faces together, which results in 16 + 56 = 72 square inches.
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In standard form, it would be 0.000000146