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Answer:

n = 60 shirts

Step-by-step explanation:

The break-even point is the point where revenue is equal to cost.  This means we take the equation for revenue, r = 25n, and set it equal to the equation for cost, c = 10n + 900:

25n = 10n + 900

Subtract 10n from each side:

25n - 10n = 10n + 900 - 10n

15n = 900

Divide both sides by 15:

15n/15 = 900/15

n = 60

Answer:

Option A is correct

The expression which is equivalent to [tex](f\cdot g)(5)[/tex] is [tex] f(5) \cdot g(5)[/tex]

Step-by-step explanation:

Using the formula:

[tex](f \cdot g)(x) = f(x) \cdot g(x)[/tex]                  .....[1]

Given the expression:

[tex](f\cdot g)(5)[/tex]

Substitute the value of x = 5 in [1]

we get;

[tex](f \cdot g)(5) = f(5) \cdot g(5)[/tex]

Therefore, the expression which is equivalent to [tex](f\cdot g)(5)[/tex] is [tex] f(5) \cdot g(5)[/tex]

add 7x to both of the sides

Write an equation to match each graph.

Solution:

The first graph is V shaped graph centered at origin, (0,0) and the graph is not shifted or translated. So, the equation of first graph is,

y=|x|

The second graph is V shaped graph centered at (1,0) and y=|x| is horizontally shifted right by 1 unit. So, the equation of second graph is,

y=|x-1|

The third  graph is also V shaped but, it is inverted V graph centered at (0,1) . As, the graph is inverted V So, the graph must have y=-|x|. But, as the center is (0,1). So, the graph is shifted up by 1 unit. So, the equation of the third graph is,

y=-|x|+1

The fourth graph is shifted V graph, whose center is (1,-1). So, y=|x| is shifted right by 1 unit and down by 1 unit. So, the equation of fourth graph is,

y=|x-1|-1

The center of fifth graph is (-1,0), So, y=|x| graph is shifted left by 1 unit. So, the equation of fifth graph is

y=|x+1|

Sample Response: The value of m must be greater than the value of n. When you multiply the binomials, the middle term is the result of combining the outside and inside products. So, bx = –nx + mx, or bx = (–n + m)x. This means that b = –n + m. When adding numbers with opposite signs, you subtract their absolute values, and keep the sign of the number having the larger absolute value. Since b is positive, m must have the larger absolute value.

(on the assignment)

I think its Polyhedron, pyramid, solid.

Answer:

Hence, the correct options are Polyhedron, Pyramid and Solid

Step-by-step explanation:

According to the options, we have,

1. Polyhedron is a solid figure in three dimensions having polygons as its faces along with sharp vertices and straight edges.

So, we can see that the given figure have polygonal faces with sharp vertices and straight edges.

Thus, it is a polyhedron.

2. Polygon is a closed two dimensional figure bounded by straight lines.

But, the given figure is not a 2-D figure and so is not a polygon.

3. Prism is a polyhedron with polygons as its faces along with a second base which is a translated copy of the first base.

Since, the given figure is a polyhedron but it does not have a second base which is a translated copy of the first base.

So, the given figure is not a prism.

4. Pyramid is 3-D figure having triangular outer surfaces converging to single point with polygonal base.

As, we can see that the given figure have polygonal base and triangular sides converging to a point.

So, the given figure is a pyramid.

5. Cube is a 3-D figure with all the six faces as squares.

But, the given figure does not have square faces and so is not a cube.

6. Solid is a figure having three dimensions.

Since, the given figure does have three dimensions.

So, it is a solid.

The dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.

A dot plot, also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.

Since the width of each "bar" of dots is equal to the number of items in a certain class, a dot plot is similarly to a bar diagram.

We have:

A fair number cube with sides labeled from 1 to 6 is rolled 20 times.

Total number on, a fair number of cubes = 6

So the dot plot can be shown as:

1:4, 2:4, 3:0, 4:4, 5:4,6:4

There is a face with 3 has not rolled.

Thus, the dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.

Learn more about the dot plot here:

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To determine the number of edges in a polyhedron with seven faces, two being pentagons and five being rectangles, you apply Euler's formula, resulting in a total of 15 edges.

To find the number of edges in a polyhedron with seven faces using Euler's formula, which is V - E + F = 2, we first need to determine the number of vertices (V) and faces (F) of the polyhedron.

Given that the polyhedron has two pentagons and five rectangles, we can calculate the total number of vertices. Each pentagon has 5 vertices and each rectangle has 4, but since rectangles share sides, some vertices will be counted twice.

Therefore, for the rectangles, we should calculate the vertices as if there were four distinct ones and then subtract the overlaps. Assuming all rectangles share exactly one side with its adjacent, we would have 4 vertices for each rectangle minus 2 for each shared side, resulting in 2 vertices per rectangle.

With five rectangles, that's 10 vertices, plus the 10 from the two pentagons, we get 20 vertices in total. Now, we apply Euler's formula: V - E + F = 2, substituting the values:

E = V - F + 2
E = 20 - 7 + 2
E = 15

Therefore, the polyhedron has 15 edges. .

To simplify -62 ÷ 12 - 2(-7), evaluate the expression inside the parentheses first, then perform the division and subtraction.

To simplify the expression -62 ÷ 12 - 2(-7), we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) in this case. First, we need to evaluate the expression inside the parentheses: 2(-7) = -14. Then, we perform the division: -62 ÷ 12 = -5. Finally, "we subtract: -5 - (-14) = -5 + 14 = 9".

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By setting up and solving an equation, it was determined that 75 adult tickets were sold for the school play.

To solve the problem of determining how many adult tickets were sold for the school play, we can set up an equation. Let's represent the number of adult tickets sold as A, and since the number of student tickets sold was three times that of adult tickets, we can express the student tickets sold as 3A. We know the total tickets sold were 300, so the equation to represent this scenario is:

A + 3A = 300

Combining like terms, we get:

4A = 300

Dividing both sides of the equation by 4 to solve for A gives us:

A = 300 / 4

A = 75

Therefore, 75 adult tickets were sold.

Christine would run approximately 2.8 miles in 24 minutes at the same rate she runs 7 miles in 60 minutes.

To find out how many miles Christine would run in 24 minutes, we can set up a proportion. We know that Christine runs 7 miles in 60 minutes, so we can write the proportion as:

7 miles / 60 minutes = x miles / 24 minutes

Now, we can cross-multiply and solve for x:

7 * 24 = 60 * x

168 = 60x

x = 168 / 60

x ≈ 2.8 miles

So, her speed would be 7/60 = 0.1167 miles per minute. Now, to find out the distance she would cover in 24 minutes at this speed, we multiply her speed per minute by 24 minutes. So, 0.1167 * 24 = approximately 2.8 miles. Therefore, at the same rate, Christine would run about 2.8 miles in 24 minutes.

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