Find x if AC = -7+2x, BC =9, and AB = -27 + 3x

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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Answer:B 1/18

Step-by-step explanation:

Answer:

It's bc

Step-by-step explanation:

The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)

The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.

Therefore, for this problem, the distribution of the sample mean can be represented as:

X ~ N(67.15, 3.084/√30)

where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.

This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.

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Answer:8.00347847

Step-by-step explanation:

y= 8.00347847 i think, we use SIN, because we are given the opposite and hypotonuse. sin(61)=7/y which equals 8.00347847. Don't quote me on it though i havent done geometry in a while

Answer:

Downloaded music 1 EACH: $1

Movie 1 EACH: $12

Step-by-step explanation:

4 songs and 1 movie = $16

6 songs and 1 movie = $18

if we minus the two formulas we get:

2 songs = $2

Try it out on the formula, it will work.

$4 + x = $16

x = $12

$6 + $12 = $18

Answer:

7 11 I think hope this helps

Answer:

70%

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

I am assuming this means convert to whole numbers

3/5:2/5 is 6/10:4/10

6/10:4/10 is 0.6:0.4

0.6:0.4 is 6:4

6:4 is 3:2

Answer:

Step-by-step explanation:

Keep the ratio simple.

3/5 : 2/5

remove the denominator (5) on both sides and you will have 3 : 2

Answer: x=5/2

Step-by-step explanation:

JK=NO

2x+6=11

2x+6-6=11-6

2x=5

x=5/2

Answer:

85

Step-by-step explanation:

Answer:

(2b-a)x(2b-3)x(2b+3)

Step-by-step explanation:

Step-by-step explanation:

By pythagoras triplet

sum of square of bigger side should be equal to sum of square of remaining two sides

so 75² + 33² = 5625 + 1089 = 6714

and 89² = 7921

here 6714 is not equal to 7921

so this triangle is not right angled triangle

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The area of the rectangle is 10 square yards,the length is 15 feet and the width is 6 feet and the area of the rectangle in square feet is 90 square feet.

(a) The area of the rectangle is calculated by multiplying the length by the width:

Area = 5 yards * 2 yards = 10 square yards

(b) To convert the dimensions from yards to feet, we can use the conversion ratio of 3 feet to 1 yard.

Length in feet = 5 yards * 3 feet/yard = 15 feet

Width in feet = 2 yards * 3 feet/yard = 6 feet

Therefore, the length is 15 feet and the width is 6 feet.

(c) The area of the rectangle in square feet is calculated by multiplying the length in feet by the width in feet:

Area = 15 feet * 6 feet = 90 square feet

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The probable question may be:

Area=5 yards * 2 yards

(a) What is the AREA in square yards?

(b) Convert both length and with into units of feet instead of yards. Recall the ratio of feet to yards is 3 to 1. LENGTH:

feet WIDTH:

square yards

feet

(c) What is the AREA of the rectangle in square feet?

Answer:

the second choice

Step-by-step explanation:

The last two choices could not be correct, because it would need a dashed line.  The line under the greater than or less than symbol mean  that the line is included in the answer and it will be a solid line like you see in the picture.  For both of the top two answers the slope that they y intercept is correct.  You just have to decide is the symbol will be greater than or equal to or less than and equal to.  

If we put 0 in x for in the form y = mx + b, what would y be?

y = 1/3 x - 1

y = 1/3(0) - 1

y = -1

The ordered pair is (0,1).  That is the part that is shaded so that shows us that the second answer is correct.

To find the speed at which the Salisbury family was driving, we can use the formula: Speed = Distance / Time. So, the Salisbury family was driving at a speed of 89 kilometers per hour.

The distance they traveled is the difference between their initial distance from home (750 km) and their distance from home after 4 hours (394 km):
Distance = 750 km - 394 km = 356 km
The time they took to cover this distance is 4 hours.

Now we can calculate the speed:
Speed = 356 km / 4 h = 89 km/h
Therefore, the Salisbury family was driving at a speed of 89 kilometers per hour.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer: The answer is 144 grams of zinc

Step-by-step explanation:

The given function is f(x) = (4-x)/29. We need to find the x-values where f is not continuous and determine whether the discontinuities are removable or nonremovable.

For this function, there are no nonremovable discontinuities. The only type of discontinuity that could occur is a removable discontinuity. This occurs when a point is undefined, but the limit exists and is finite. In other words, the function can be made continuous by redefining it at that point.

To find any possible removable discontinuities, we need to find the values of x for which the denominator becomes zero, because division by zero is undefined. The denominator is always 29, which is never zero, so there are no values of x for which the denominator is zero. Therefore, there are no removable discontinuities.

In conclusion, the function f(x) = (4-x)/29 is continuous for all values of x, and there are no removable or nonremovable discontinuities.

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Answer:

A. Area of the circle

B. Circumference of a Circle

C. Diameter

D. 3.14

E. Radius^2

Step-by-step explanation:

Answer:

When you need to find the circumference (the distance around the circle) of pi you would multiply pi by the diameter but when you need to find the area you would need to multiply the radius by itself and multiply it by pi.

Step-by-step explanation:

3.14 x diameter = circumference

radius² x 3.14 = area

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan? = \(\frac{opposite}{adjacent}\) = \(\frac{18}{17}\) , then

? = \(tan^{-1}\) (\(\frac{18}{17}\) ) ≈ 47° ( to the nearest degree )

Answer:

b

Step-by-step explanation:

It is shown that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |1/f(x) - 1/f(y)| < ε/(2kM) for all x, y in a. This proves that 1/f is uniformly continuous on a.

What is uniformly continuous?

Uniform continuity is a property of a function in which for any given value ε > 0, there exists a corresponding value δ > 0 such that for all pairs of points in the function's domain whose distance is less than δ, the difference in the function's values at those points is less than ε. In other words, a function is uniformly continuous if its rate of change does not vary significantly over its entire domain, and small changes in its input result in correspondingly small changes in its output.

To show that 1/f is uniformly continuous on a, we need to prove that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |1/f(x) - 1/f(y)| < ε for all x, y in a.

Given that f is uniformly continuous on a, we know that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |f(x) - f(y)| < ε/k for all x, y in a.

We also know that |f(x)| > k for all x in a.

Using these facts, we can begin by manipulating the expression |1/f(x) - 1/f(y)|:

|1/f(x) - 1/f(y)| = |(f(y) - f(x))/(f(x)f(y))|

Since |f(y) - f(x)| < ε/k, we can substitute this into the above expression:

|1/f(x) - 1/f(y)| < |(ε/k)/(f(x)f(y))|

Now, we need to find a way to relate f(x)f(y) to |x - y|.

Since f is uniformly continuous, we know that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |f(x) - f(y)| < ε/k for all x, y in a.

This implies that |f(x)f(y)| < k(f(x) + f(y)) < 2kM, where M is the supremum of |f(x)| over a.

Thus, we have:

|1/f(x) - 1/f(y)| < ε/(2kM)

Therefore, we have shown that for any ε > 0, there exists a δ > 0 such that |x - y| < δ implies |1/f(x) - 1/f(y)| < ε/(2kM) for all x, y in a. This proves that 1/f is uniformly continuous on a.

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Answer:

66.99 cm³

Step-by-step explanation:

V=πr²h /3

V = (3.14)(2)²(16)/3 = 66.99 cm³

Answer: A. 41 sq units.

Step-by-step explanation:

The whole figure can be divide into two shape which is a square and a right triangle.

This can be created by drawing a straight line from C horizontally to the other end.

The square will have a side length of 4 .

The right triangle will have a base of 5 and a height  10.

So using this we could find the area of the square and add it to the area of the  right triangle.

Area of Square:   A= 4^2

                            A = 16

Area of right Triangle.:   A= BH/2

                                        A= 5 * 10/2

                                         A = 50/2

                                          A= 25

Total:   25 + 16 = 41 square units.

From the  X coordinate is -0.45 centimeter and Y coordinate is -2.0 cm of the center of mass for the uniform plate.

According to the Question:

Since the plate is uniform, we can divide it into three rectangles, each with a mass proportional to its area and with its barycenter at its geometric center. We will refer to the large piece of 35cm x 10cm; it occupies 63.6% of the total surface and its barycenter is at

(x₁, y₁) = (−5.0cm,−2.5cm).

Now,

The top 20cm× 5cm piece has 18.2 % of the total area; its center of mass is at (x₂, y₂) = (10cm,12.5cm).  

Now,

The bottom 10cm× 10cm piece (section 3) also has 18.2 % of the total area; its center of mass is at (x₃, y₃)​ = (5cm,−15cm).

(a) The x coordinate of the center of mass for the plate is

   \(X_{com} = (0.636)X_1 + (0.182)X_2 + (0.182)X_3\)

            = -0.45 cm

(b) The y coordinate of the center of mass for the plate is

    \(Y_{com} = (0.636)Y_1 + (0.182)Y_2 + (0.182)Y_3\)

             = -2.0 cm.

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Answer:

Step-by-step explanation:

9x-4= 3x-28

We simplify the equation to the form, which is simple to understand  

9x-4=3x-28

We move all terms containing x to the left and all other terms to the right.  

+9x-3x=-28+4

We simplify left and right side of the equation.  

+6x=-24

We divide both sides of the equation by 6 to get x.  

x=-4

Answer:

-30

120

-222

Step-by-step explanation:

Answer:

Each triangle are acute.  

Step-by-step explanation:

Obtuse-an angle that is bigger than 90 degrees

Acute-an angle that is smaller than 90 degrees

Right triangle-an angle that is 90 degrees