I need help with the problem​

I Need Help With The Problem

Answers

Answer 1

Answer:

Negative line

Step-by-step explanation:

Going up is positive (think in going uphill)

Going down is negative


Related Questions

Someone please help me with this!!! (20 points)

Someone please help me with this!!! (20 points)

Answers

Answer:

Step-by-step explanation:

7\(a^{2}\) - 2a + 6  - ( -5\(a^{2}\) + 3 )

7\(a^{2}\) - 2a + 6 + 5\(a^{2}\) - 3

12\(a^{2}\) -2a +3

Answer:

\(\bf 5a^2+5a+3\)

Step-by-step explanation:

\(\sf \left(7a-2a+6\right)-\left(-5a^2+3\right)\)

\(\sf 7a-2a+6-\left(-5a^2+3\right)\)

Combine like terms:-

\(\sf 5a+6-\left(-5a^2+3\right)\)

Apply Distributive property:-

\(\sf 5a+6+5a^2-3\)

Comnine like terms:-

\(\sf 5a^2+5a+6-3\)

\(\sf 5a^2+5a+3\)

What is the primary purpose of data democratization?
a) make data accessible to all users
b) make data inaccessible to all users

Answers

The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

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The triangles below are similar. Find a and b.

The triangles below are similar. Find a and b.

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(a = 18\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(b = 3\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer: b= 3; 9= 18

Step-by-step explanation:

You can use the length of the triangles’ base to find the scale factor.

15/5 = 3.

now that we know the scale factor, just use it to determine b and a.

to find a, multiply 6 by the scale factor because the bigger triangle was scaled up

6x3=18 a=18.

to find b, divide 9 by the scale factor because the smaller triangle is being scaled down by 3 compared to the bigger one.

9/3=3 b=3.

you should have your answer by now.

We flip a coin 100 time
(n = 100)
and note that it only come up head 20%
(p = 0. 20)
of the time. The mean and tandard deviation for the number of time the coin land on head i
= 20
and
= 4
(verify the mean and tandard deviation). Solve the following. (Round your percent to two decimal place. )
(a) There i about a 68% chance that the number of head will be omewhere between (maller value) and (larger value). (b) There i about a % chance that the number of head will be omewhere between 12 and 28. (c) There i about a % chance that the number of head will be omewhere between eight and 32

Answers

(a) There is about 68% chance that the number of heads will be somewhere between 16 and 14.

(b) There is about 95.4% chance that the number of heads will be somewhere 12 and 28.

(c) There is about 95.4% chance that the number of heads will be somewhere 8 and 32.

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: n = 100

p = 0.20

μ = 20

σ = 4

Verification of mean and standard deviation:

μ = np = 100(0.20) = 20

σ = \(\sqrt{np(1-p)} = \sqrt{100(0.20)(1-0.20)} = 4\)

As per central limit theorem,

Approximately 68.4% of the observations fall within ±1 standard deviation of the mean.Approximately 95.4% of the observations fall within ±2 standard deviation of the mean.Approximately 99.7%of the observations fall within ±3 standard deviation of the mean.

(a) Using central limit theorem:

μ - 1σ = 20 - 4 = 16

μ+ 1σ = 20 + 4 = 24

Hence, there is about 68% chance that the number of heads will be somewhere between 16 and 14.

(b)  μ - 2σ = 20 - (2 x 4) = 12

μ + 2σ = 20 + (2 x 4) = 28

Hence, there is about 95.4% chance that the number of heads will be somewhere 12 and 28.

(c)  μ - 3σ= 20 - (3 x 4) = 8

μ + 3σ = 20 + (3 x 4) = 32

Hence,  there is about 95.4% chance that the number of heads will be somewhere 8 and 32.

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brainliest if correct


Solve for x. −2/5(x+3)=8 Enter your answer in the box. x =

Answers

Answer:

\(x=-3.05\)

Step-by-step explanation:

\(\frac{-2}{5(x+3)} =8\)

1. The first step is to distribute the 5 to the (x+3) which changes \(\frac{-2}{5(x+3)} =8\\\) to \(\frac{-2}{5x+15} =8\).

2. The second step is to get x out of the denominator, so in order to do that, you have to multiply 5x+15 to both sides of the equation. Doing that cancels out the 5x+15 on the left side of the equation and changes the right side of the equation so it looks like this:

\(-2=8(5x+15)\)

3. The third step is to distribute the 8 to (5x+15) which changes the equation to look like:

\(-2=40x+120\)

4. The fourth step is to get x by itself so you want to get 120 on the left side of the equation so it looks like this:

\(-2=40x+120\)

-120         -120

\(-122=40x\)

5. Finally to solve for x we have to divide by 40 to each side because right now 40 is being multiplied to x, so the answer will look like this:

\(\frac{-122}{40}=\frac{40x}{40}\)

\(x=-3.05\)

85°
152

Find the value of the missing angle

85152Find the value of the missing angle

Answers

Answer:

67°........................

Answer:

x=67

Step-by-step explanation:

If line segment SU is an angle bisector of ZTSV, mZTSV = 62°, and mzVSU = 5x + 1, find the value of x.

If line segment SU is an angle bisector of ZTSV, mZTSV = 62, and mzVSU = 5x + 1, find the value of x.

Answers

Answer:

6

Step-by-step explanation:

Since SU is a bisector 62 degrees is equal to 2x 5x+1

62=2(5x+1)

62=10x+2

60=10x

6=x

two containers are used to hold liquid. these containers have exactly the same shape. the first container has a height of 20 cm, and it can hold 320 m3 of liquid. if the second container has a height of , how much liquid can it hold?

Answers

The second container can hold approximately 1715 m³ of liquid.

Two containers have exactly the same shape, we can use their height ratio to determine the liquid capacity ratio.

Let's denote the height of the first container as H1 = 20 m and its liquid capacity as C1 = 320 m³.

We want to find the liquid capacity of the second container, C2, given its height H2 = 35 m.

The ratio of the heights is H2 / H1 = 35 m / 20 m = 7/4.

The ratio of the liquid capacities is equal to the ratio of the volumes, since the containers have the same shape. Therefore, we have:

C2 / C1 = (H2 / H1)³

Substituting the given values:

C2 / 320 m³ = (7/4)³

Simplifying the exponent:

C2 / 320 m³ = 343 / 64

To find C2, we can cross-multiply:

C2 = (343 / 64) × 320 m³

Calculating the result:

C2 ≈ 1715 m³

Therefore, the second container can hold approximately 1715 m³ of liquid.

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The question is incomplete the complete question is :

two containers are used to hold liquid. these containers have exactly the same shape. the first container has a height of 20 m, and it can hold 320 m³ of liquid. if the second container has a height of 35 m, how much liquid can it hold?

Divide. Round your answer to the nearest whole number.
8,297.741 divided by 0.529=?

Answers

Answer:

8,297.741÷0.529=16876.63

to the nearest whole number it is 16877

Step-by-step explanation:

since 5-9 are rounded up

Can someone please tell me the answer

Can someone please tell me the answer

Answers

The correct statement is the area of the two inner squares on the left must be the same as the area of the inner square on the right.

Define square

A square is a geometric shape with four equal sides and four right angles. It is a type of rectangle, and also a type of parallelogram. In a square, all interior angles measure 90 degrees, and the diagonals bisect each other at 90-degree angles.

there are two identical squares, each with an area of 52 square units (since each side measures 7 units). The two squares are arranged in such a way that they form a larger square with sides measuring 14 units. The area of this larger square is 142 square units.

there is also a square with sides measuring 13 units. This square has an area of 132 square units.

If we subtract the area of the two inner squares from the area of the larger square in the left figure, we get:

142 - 2(52) = 38

This means that the four triangles in the right figure must have a total area of 38 square units, which is the difference between the area of the large square (132 square units) and the area of the inner square (94 square units). Since the four triangles are congruent, each triangle must have an area of 9.5 square units.

Therefore, the area of the two inner squares on the left must be the same as the area of the inner square on the right, since they all have an area of 94 square units (which is the area of the large square minus the area of the four triangles). This leads to the relationship:

52 + 122 = 132

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Convert this equation to standard form:

f(x) = (2x + 1) (2-5)

Answers

The equation in standard form will be 4x^2 - 8x - (5 + f(x)) = 0.

The given equation f(x) = (2x + 1) (2x-5) can be simplified by multiplying the two binomials together to get:

f(x) = 4x^2 - 8x - 5

This equation is in general form, not standard form. Standard form of a quadratic equation is given by:

ax^2 + bx + c = 0

where a, b, and c are constants and a ≠ 0.

To convert the given equation to standard form, we need to set it equal to zero by subtracting f(x) from both sides:

4x^2 - 8x - 5 - f(x) = 0

Since f(x) is an arbitrary constant, we can combine the constant terms to get:

4x^2 - 8x - (5 + f(x)) = 0

This equation is now in standard form, with a=4, b=-8, and c=-(5+f(x)).

In summary, to convert a quadratic equation in general form to standard form, we need to set it equal to zero and combine constant terms. The resulting equation should have the form ax^2 + bx + c = 0, with a, b, and c being constants and a ≠ 0.

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ALSO THIS KNE HELPLL

ALSO THIS KNE HELPLL

Answers

Your answer is C your x intersect is 2 and your y intersect is -3

A middle school held a Career Exploration Day where students could choose to hear an adult talk about his or her career. Out of the 39 middle-school students, 13 went to hear the designer speak.

What is the probability that a randomly selected student went to hear the designer?

Write your answer as a fraction or whole number.

Answers

Answer:

1/3

Step-by-step explanation:

39 divided by 13 comes out to 3, meaning that 1 out of 3 students chose to hear the designer speak.

In Exercise 4.3.4, you learned one technique for balancing chemical equations using a systems approach. Fill in the coefficients below such that the chemical equation you saw in Problem 1 is balanced. Note: Your answers should be integers. (A)H2 +(B) 0 =(C) H2O A= B C= Each of the four shapes in the provided figure stands for a distinct positive whole number. The sum of the shapes in each row or column is shown at the end of each row or column respectively. Find the numerical value that each shape represents. 18 20 10 A 10 14 20 10 18 14

Answers

The  Coefficients such that the given chemical equation is balanced is A = 2  , B = 1  , C = 2  .

In the question ,

it is given that ,

the chemical equation is (A)H₂ +(B)O₂ = (C) H₂O ,

we have to find the coefficients of the equation such that the equation is balanced ,

To balance a equation means , to make the number of atoms the same on both the reactants and products side .

to do this coefficients need to be added to the chemical equation ,

We have , (A)H₂ +(B)O₂ = (C) H₂O ,

(2)H₂ +(1)O₂ = (2)H₂O ,

Now the equation is balanced .

Therefore , the coefficients are A = 2 , B = 1 and C = 2 .

The given question is incomplete , the complete question is

Fill in the coefficients below such that the chemical equation is balanced ,

Note: Your answers should be integers.

the equation is (A)H₂ +(B)O₂ = (C) H₂O

A = ?  , B = ?  , C = ?  .

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Which triangle is a right isosceles triangle?

Which triangle is a right isosceles triangle?

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Hope that helps

What is the solution to 3/4a
+ 5/6 = 5a - 125/3? Enter your answer in the box below.
a =

What is the solution to 3/4a+ 5/6 = 5a - 125/3? Enter your answer in the box below.a =

Answers

Answer:

a = 10

Step-by-step explanation:

9a + 10 = 60a - 500

51 a = 510

a = 10

The solution of the expression is,

⇒ a = 10

What is an expression?

An expression which is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.

Given that;

The expression is,

⇒ 3/4a + 5/6 = 5a - 125/3

Now,

We can solve the expression as;

⇒ 3/4a + 5/6 = 5a - 125/3

⇒ 5/6 + 125/3 = 5a - 3/4a

⇒ 5/6 + 250/6 = (20a - 3a) / 4

⇒ 255/6 = 17a/ 4

⇒ 255 × 4 / 6 = 17a

⇒ 17a = 170

⇒ a = 10

Thus, The solution of the expression is,

⇒ a = 10

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pls help
In the diagram, line m is parallel to line n.

What is the measure, in degrees, of angle ABC?

pls helpIn the diagram, line m is parallel to line n.What is the measure, in degrees, of angle ABC?

Answers

Answer:

I got 55..and I also got 50.......

help me plz the answer is d right i dont reamber

help me plz the answer is d right i dont reamber

Answers

Answer:

C. The total amount spent on drinks by Andrew.

Step-by-step explanation:

y itself would be the number of drinks purchased, and 2.5 is the cost. And since is is 2.5y then it represents the total amount.

Which expression is equivalent to k4⋅m9⋅−(k5m4)0?

Answers

Answer: eighty-eight thousand

Step-by-step explanation:

The expression equivalent to \(k^4m^9 - (k^5m^4)\) would be; \(k^{-1}m^5\)

What are equivalent expressions?

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To find equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need find the expression into an equivalent form  \(k^4m^9 - (k^5m^4)\)

This expression could also be given by;

\(k^4m^9 - (k^5m^4)\)

Now subtract the like terms to get the values then we get;

\(k^4m^9 - (k^5m^4)\) = \(k^{-1}m^5\)

Hence, the expression equivalent to form \(k^4m^9 - (k^5m^4)\) would be; \(k^{-1}m^5\)

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Find the equation of the line which has gradient 4 and goes through the point (3, 7)​

Answers

Answer:

y = 4x - 5

Step-by-step explanation:

The gradient is the same term as the slope.

We have the line with the slope of 4 and passing through the point (3, 7).

Use the point - slope form and substitute the coordinates to get:

y - 7 = 4(x - 3)y - 7 = 4x - 12y = 4x - 12 + 7y = 4x - 5

Dana is making a seating chart for an awards banquet. There are 136 people coming to the banquet.


If 8 guests can be seated at each table, how many tables will be needed for seating for the awards banquet?
I NEED THIS QUICK BEFORE TIME RUNS OUT PLZ HELP ME

Answers

Answer:

u would do 136÷8.. it comes out to 17 tables

determine the volume of the solid with a circular base of radius whose cross sections are squares that are perpendicular to the base.

Answers

\(V = πr^2h = πr^2 * (4/π) = 4r^2.\) The volume of the cylinder with a radius r and a cross-section perpendicular squares. To determine the volume of a solid with a circular base and cross sections that are perpendicular squares, we need to use the formula for the volume of a cylindrical shell.

Radius can r according to the formula that is given the volume is already mentioned.

\(V = πr^2hh\) is the height of the cylinder. Squares are the cross section of cylinders,  side length can be equal to 2r. So, the area of each cross-section is \((2r)^2 = 4r^2.\)

The h in consideration of the area of cross-section h = Area of the cross section \(/ πr^2h = (4r^2) / πr^2 = 4/π\)The volume of the shell of the cylinder is \(V = πr^2h = πr^2 * (4/π) = 4r^2\)The volume of the cylinder with a radius r and a cross-section perpendicular squares.

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A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table.
Labor-Hours per Ski
Department
Fabricating
Finishing
Trick Ski
6
1
Slalom Ski
4
1
Maximum Labor-Hours
Available per Day
216
48
If the profit on a trick ski is $30 and the profit on a slalom ski is $40, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the
maximum profit?
The maximum profit is S The maximum occurs when trick skis and slalom skis are produced.

Answers

If x is the quantity of trick skis sold and y is the quantity of slalom skis sold, and x and y are both nonnegative numbers, then x 0 and y 0.

A manufacturing company makes two types of water skis, a trick ski and a slalom ski?

We can see from the first row of the table that 6x + 4Y 216 because 6x indicates the work hours required to make x number of trick skis and 4y is required to make y number of slalom skis. We get at 6X + 4Y 216 since the sum (6x+4y) cannot be greater than 216 hours.

Using a similar logic, the second row provides us with the following inequality:

X + Y ≤ 40

X 0 Y 0 6 X + 4 Y 216 X + Y 40

The points at the vertices are:

A = (0, 0)\sB = (0, 40)\sC = (12, 28)\sD = (33, 0) (33, 0)

By intersecting the border lines, one can locate each vertex point. For instance, the intersection of the boundary lines 6x+4y = 216 and x + y = 40 is point C.

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what is the maximun of number of people who can stand in each side of the boat

Answers

The maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.

The maximum number of people who can stand in each side of a boat can be determined using Archimedes' Principle. This principle states that the buoyant force on an object is equal to the weight of the fluid it displaces. In the case of a boat, the buoyant force is equal to the weight of the water it displaces.

Using this principle, the maximum number of people who can stand in each side of a boat can be calculated using the equation:

F_B = m_p * g

Where F_B is the buoyant force, m_p is the total mass of all the people standing in the boat, and g is the acceleration due to gravity.

To determine the maximum number of people, we must first calculate the mass of the boat, m_b. We can do this by multiplying the volume of the boat (V) by the density of the material the boat is made of (ρ).

m_b = V * ρ

Next, we can calculate the total mass of all the people standing in the boat, m_p. This can be calculated by multiplying the total number of people (n) by the average mass of a person (m).

m_p = n * m

Finally, we can calculate the maximum number of people who can stand in each side of the boat by rearranging the equation for F_B and solving for n.

n = (F_B) / (m * g)

Therefore, the maximum number of people who can stand in each side of the boat is equal to the buoyant force divided by the average mass of a person multiplied by the acceleration due to gravity.

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The demand for a product is given by D(x)=170e −0.04x
, where x is the number of units sold each week and 0≤x≤55. Step 2 of 2: Find the price per unit that will yield maximum revenue. Round your answer to the nearest cent

Answers

The price per unit that will yield maximum revenue is $67.04.

In order to find the price per unit that will yield maximum revenue, we have to follow the below-given steps:

Step 1: The revenue function for x units of a product is

R(x) = x * P(x),

where P(x) is the price per unit of the product.

Step 2: The demand function is

D(x) = 170e^(-0.04x)

Step 3: We are given that the 0 ≤ x ≤ 55, it means that we only need to consider this domain. Also, the price per unit of the product is unknown. Let's take it as P(x). Hence, the revenue function will be:

R(x) = P(x) * xR(x) = x * P(x)

Step 4: We need to find the price per unit that will yield maximum revenue. In order to do that, we have to differentiate the revenue function with respect to x and find its critical point. Let's differentiate the revenue function.

R'(x) = P(x) + x * P'(x)

Step 5: Now we will replace P(x) with D(x) / x from the demand function to obtain a function that depends on x only.

This will give us R(x) = x * (D(x) / x).

Simplifying this expression, we get R(x) = D(x).

Let's write it. R(x) = D(x)R'(x) = D'(x)

Step 6: Differentiate D(x) with respect to x, we get:

D'(x) = -6.8e^(-0.04x)

Step 7: To find the critical point of R(x), we will equate R'(x) to zero and solve for x.

R'(x) = 0D(x) + x * D'(x) = 0

Substitute D(x) and D'(x)D(x) + x * D'(x) = 170e^(-0.04x) - 6.8x * e^(-0.04x) = 0

Divide both sides by e^(-0.04x)x = 25

The critical point of R(x) is 25. It means that if the company sells 25 units of the product, then the company will receive maximum revenue.

Step 8: We need to find the price per unit that will yield maximum revenue. Let's substitute x = 25 in the demand function to find the price per unit of the product.

D(25) = 170e^(-0.04*25) = 67.04

Therefore, the price per unit that will yield maximum revenue is $67.04.

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Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P).
P = (-16, 0) and M = (0, -16)

Answers

Find the other endpoint through middle point M. The formula for middle point M is the half of the sum of coordinates x,y. We have xm = 1/2 * ((-16) + x?) and by this pattern for y. The other endpoint has coordinates x = 16; y = -32;

a piece of clothes was 5 m long,after washing it srank to 4.2m long find the percentage decrease in length​

Answers

The length of the piece of clothing decreased by 16% after washing.

What is the percentage decrease?

To compute a percentage drop, first determine the difference (decrease) between the two values being compared. Then, divide the reduction by the original number and multiply the result by 100. The percentage change is expressed as a result of the alteration.

The percentage decrease in length of the piece of clothing can be calculated as follows:

Percentage decrease = (original length - new length) / original length * 100

Percentage decrease = (5 - 4.2) / 5 * 100

Percentage decrease = 0.8 / 5 * 100

Percentage decrease = 16%

Hence, the length of the piece of clothing decreased by 16% after washing.

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What is the solution set of the quadratic inequality f(x) ≥0?
O XIX= R}
O
○ {x1x=-3}
O {x|x=3}

Answers

The solution set of the quadratic inequality f(x) ≥ 0 is {x | x ∈ ℝ}, meaning that the solution set includes all real numbers.

To find the solution set of the quadratic inequality f(x) ≥ 0, we need to determine the values of x for which the function f(x) is greater than or equal to zero.

Let's assume that f(x) is a quadratic function of the form f(x) = ax² + bx + c, where a, b, and c are constants.

For a quadratic function, the graph can either be a U-shaped curve opening upward (a > 0) or a U-shaped curve opening downward (a < 0). In either case, the function will be greater than or equal to zero in certain regions.

To find the solution set, we need to consider two possibilities

If the quadratic function f(x) opens upward (a > 0), then the graph will intersect or touch the x-axis at two points.

In this case, the solution set will be the values of x that lie between those two points, including the points themselves.

If the quadratic function f(x) opens downward (a < 0), then the graph will be above the x-axis or entirely below it.

In this case, the solution set will be either the entire real number line (if the parabola is below the x-axis) or the empty set (if the parabola is above the x-axis).

Since we don't have a specific quadratic equation or values for a, b, and c, we cannot determine the exact solution set for the inequality f(x) ≥ 0. The solution set will depend on the specific coefficients of the quadratic function.

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The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.

Answers

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Kim will choose 1 type of meat and 1 type of cheese for her sandwich. The meats offered are ham, turkey, or roast beef. The cheeses offered are American, Swiss, cheddar, or provolone. Kim dislikes roast beef and Swiss cheese. How many different possible sandwiches does that leave Kim?


5


6


8


12

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Answers

The number of possible sandwiches does is 6.

What is combination ?

In arithmetic, a combination is a way of choosing gadgets from a set where the order of selection does no longer count. suppose we've got a hard and fast of 3 numbers P, Q and R. Then in what number of methods we can select two numbers from every set, is described via combination.

Given ,

Kim will choose 1 type of meat and 1 type of cheese for her sandwich. The meats offered are ham, turkey, or roast beef.

The cheeses offered are American, Swiss, cheddar, or provolone. Kim dislikes roast beef and Swiss cheese.

factorial of n! = n*(n-1) !

The number of possible sandwiches does  =  3!

=3*2 = 6.

Therefore, The number of possible sandwiches does is 6.

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