A shoe store marks up its merchandise by 8%. What was the selling price of a pair of shoes whosewholesale price is $24.50?

Answer:

2inch=1 foot

Step-by-step explanation:

so 2 to 1       2:1

Answer:

It would be an actue triangle

Step-by-step explanation:

The lengths 5, 6 and 7 are very close to each other, meaning the triangle's shape should be relatively small with somewhat similar small angles, which means that all three angles should be acute

Answer:

(0,3.5)

Step-by-step explanation:

midpoint formula :)

Answer: area = 30 square units

The diagram is below. Ignore point G and the red dashed line when drawing the final hexagon needed.

======================================================

Explanation:

On the grid your teacher has given you, plot the 6 points. Then connect them to form hexagon ABCDE. All of this is shown in blue in the diagram below.

Let's add point G as shown in red. I'll connect G to point C with a red dashed line. These will be temporary and erased later. Though if your teacher doesn't mind you leaving it in (so you can show your steps), then its probably not a bad idea to keep it. It's best to ask your teacher.

Anyways, the red segment GC splits the original hexagon into a trapezoid up top and a rectangle down below.

------------

The trapezoid has the parallel bases of b1 = GC = 4 and b2 = AB = 2. The height is h = GA = 3

This leads to,

area = h*(b1+b2)/2

area = 3*(4+2)/2

area = 3(6)/2

area = 18/2

area = 9

Trapezoid ABCG has area of 9 square units.

-----------

The rectangle has length EF = 7 and width ED = 3

area = length*width

area = 7*3

area = 21

Rectangle DEFG has area of 21 square units.

------------

Add up those two area results to get the area of the overall hexagon.

trapezoid + rectangle = 9 + 21 = 30 square units.

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

The required greater common factor (GCF) of 6x² and 22x⁵ is 2x².

The expressions are given as follows:

6x² and 22x⁵ is 2x².

To determine the GCF of 6x² and 22x⁵, we need to factor each expression into its prime factors and then identify the common factors raised to the lowest power.

First, let's factor 6x²:

6x² = 2 × 3 × x²

Now, let's factor 22x⁵:

22x⁵ = 2 × 11 × x⁵

Here, the common factors are 2 and x². The lowest power of each common factor is 1.

Therefore, the greater common factor (GCF) of 6x² and 22x⁵ is 2x².

Learn more about  the Greatest Common Factor here:

brainly.com/question/18905667

#SPJ1

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

For more such questions on subsequent stop

https://brainly.com/question/29636800

#SPJ8

The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.

In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.

The next choice shows the triangle's side length:

The point is,

The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.

Using Pythagoras' Theorem.

Use the formula:

a² + b² = c²

For 4, 8, 11

4, 8, 11

4² + 8² = 16 + 64 = 80

11² = 121

80 is not equal to 121 it cann ot form a right triangle

For 6, 8, 13

6² + 8² = 36 + 64 = 100

13² = 169

100 is equal to 169 - 69 can form a right triangle

For √3, √5, 8

(√3)² + (√5)² = 3 + 5 = 8

8² = 64

8 is equal to 64 cannot form a right triangle

For √3, √13, 4

(√3)² + (√13)² = 3 + 13 = 16

4² = 16

16 is equal to 16 can form a right triangle

In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.

To know more about right triangle, visit:

https://brainly.com/question/28908116

#SPJ1

Reason:

We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,

2x+10 = 0

2x = -10

x = -10/2

x = -5

Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

There is sufficient warrant to rejection of the claim that 64% of the readers of the publisher own a personal computer at a = 0.01 level of significance.

What is the null hypothesis?

Two alternatives being the same is the null hypothesis. The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.

Here, we have

P = population proportion of readers, who own personal computers.

The claim of the publisher: 64% of their readers own a personal computer.

Since the claim indicates a specific value about P, it should be treated as the null hypothesis and thus the required null and alternative hypothesis would be -

H₀ : p = 0.64

H₁  : p ≠ 0.64

Now, at a = 0.01, it is decided to reject the null hypothesis.

Hence, there is sufficient warrant to rejection of the claim that 64% of the readers of the publisher own a personal computer at a = 0.01 level of significance.

To learn more about the null hypothesis from the given link

https://brainly.com/question/13135308

#SPJ1

Answer:

\((m-n)^{2}-9r\)

Step-by-step explanation:

m²-2mn+n²-9r​

\((m-n)^{2}-9r\)

Answer:

12.52×34y+61yyou answer it tho srry

A formula in which the baby's weight is represented by the equation y = m x + b, where x is the baby's age in months and y is its weight in pounds is: y = 2x + 19.

A method of formulating a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form. The point where the line crosses its y-axis is known as the y-intercept, and the slope refers to how steep the line is.

For the given question:

baby's weight is give by equation:  y = m x + b.

In which,  x = age of the baby in months.

y = its weight in pounds.

When, x = 5, y = 19

2 pounds each month; m = 2

Find y-intercept .

19 = 2*5 + c

c = 19 - 10

c = 9

formula for baby's weight:  y = 2x + 9.

Thus, a formula in which the baby's weight is represented by the equation y = m x + b, where x is the baby's age in months and y is its weight in pounds is: y = 2x + 19.

Know more about the slope-intercept form

https://brainly.com/question/1884491

#SPJ1

Answer:

the tires cost 350 with the discount

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (4, 1 ) and r = 2 , then

(x - 4)² + (y - 1)² = 2² , that is

(x - 4)² + (y - 1)² = 4 ← equation of circle

Since 2⁵ = 32, and

2⁵ ≡ 32 ≡ 10 (mod 22),

we have

2⁵¹ ≡ 2 • 2⁵⁰ ≡ 2 • (2⁵)¹⁰ ≡ 2 • 10¹⁰ (mod 22)

Now consider 10¹⁰ (mod 22):

10 = 2 • 5

10¹⁰ ≡ 2¹⁰ • 5¹⁰ ≡ (2⁵)² • 5¹⁰ ≡ 10² • 5¹⁰ ≡ 2² • 5¹² (mod 22)

so that

2⁵¹ ≡ 2³ • 5¹² (mod 22)

Now consider 5¹² (mod 22):

5 and 22 are coprime, and ɸ(22) = 10 (where ɸ(n) is the Euler totient function). By Euler's theorem,

5¹² ≡ 5² • 5¹⁰ ≡ 5² • 1 ≡ 25 ≡ 3 (mod 22)

and so

2⁵¹ ≡ 2³ • 3 ≡ 24 ≡ 2 (mod 22)

Another, more tedious method: Start with smaller powers of 2 and look for a pattern.

2 ≡ 2 (mod 22)

2² ≡ 4 (mod 22)

2³ ≡ 8 (mod 22)

2⁴ ≡ 16 (mod 22)

2⁵ ≡ 32 ≡ 10 (mod 22)

2⁶ ≡ 2 • 32 ≡ 2 • 10 ≡ 20 (mod 22)

2⁷ ≡ 2 • 20 ≡ 40 ≡ 18 (mod 22)

2⁸ ≡ 2 • 18 ≡ 36 ≡ 14 (mod 22)

2⁹ ≡ 2 • 14 ≡ 28 ≡ 6 (mod 22)

2¹⁰ ≡ 2 • 6 ≡ 12 (mod 22)

2¹¹ ≡ 2 • 12 ≡ 24 ≡ 2 (mod 22)

2¹² ≡ 2 • 2 ≡ 4 (mod 22)

and so on, with a cyclic pattern of length 10. That is, \(2^{10k+1}\equiv2\pmod{22}\) for any integer k ≥ 0. So 2⁵¹ ≡ 2 (mod 22).

Answer:

\(\textsf{a)} \quad P=-20(x-2)^2+3380\)

b)  cost of ticket = $13

    max profit = $3380

    number of tickets sold = 260

Step-by-step explanation:

Profit equation:   \(P=20(15-x)(11+x)\)

Vertex form of quadratic equation:  \(y=a(x-h)^2+k\)

(where (h, k) is the vertex and \(a\) is some constant)

First, write the given profit equation in standard form \(ax^2+bx+c\):

\(\begin{aligned}\implies P&=20(15-x)(11+x)\\& = 20(165+4x-x^2)\\& = -20x^2+80x+3300\end{aligned}\)

Factor -20 from the first two terms:

\(\implies P=-20(x^2-4x)+3300\)

Complete the square:

\(\implies P=-20(x^2-4x+4)+80+3300\)

\(\implies P=-20(x-2)^2+3380\)

The vertex of the profit equation is (2, 3380).

Therefore, the cost of the ticket is when x = 2 ⇒ $11 + 2 = $13

The maximum profit is the y-value of the vertex:  $3380

The number of tickets sold at this price is:

⇒ max profit ÷ ticket price

= 3380 ÷ 13

= 260

Answer:

k = 58

Step-by-step explanation:

k = 15 litres + remaining petrol

Remaining petrol:

The car travels 8 km/litre.

344 km / (8 km/litre) = 43 litre

The car uses 43 litres to travel 344 km.

k = 15 + 43

k = 58

Julio accidentally put in an extra 1/10 cup of sugar.

To calculate the number of extra cups of sugar that Julio put in, we need to find the difference between what the recipe called for (3/10 cups) and what he actually added (4/10 cups).

The difference can be calculated as follows:

Actual amount - Required amount = Extra amount

= 4/10 - 3/10

= 1/10

Therefore, Julio accidentally put in an extra 1/10 cup of sugar.

Learn more about Unitary Method here:

https://brainly.com/question/28276953

#SPJ1

Answer:

x = -47/6

Step-by-step explanation:

Simplify both sides of the equation : 13x + 20 = 7x - 27

Subtract 7x from both sides : 6x + 20 = -27

Subtract 20 from both sides : 6x = -47

Divide both sides by 6 : 6x/6 = -47/6

Answer : x = -47/6

Answer:

The given numerical value  is a Parameter.

Step-by-step explanation:

Given - For a certain movie 64.3% of the 112 members of the audience were females.

To find - Determine whether the underlined numerical value is a parameter or a statistic.

Proof -

Given that, 64.3% of the 112 members of the audience were females.

Now,

64.3% of  112 = \(\frac{64.3}{100}*112\) = 72.016

Since it is not a perfect number

And Human can not be in fraction

So,

The given numerical value  is a Parameter.

Answer:

(-∞, 0]

Step-by-step explanation:

lmk if you want an explanation

Answer:

english please

Step-by-step explanation:

Answer:

English plz

Step-by-step explanation:

The differentiable function f with the given properties is \(f(x)=4x^3-3x^2+10\).

What is a differentiable function:

A function with a differentiable value of one real variable is one whose domain contains a derivative. In other words, each interior point in the domain of a differentiable function's graph has a non-vertical tangent line.

The given properties for the differentiable function f are:

\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)

From (i) we can get \(f''(x)=2ax+b\)

By substituting (ii) in (i) we will get:

a+b=6 and 2a+b=18. By solving these two equations we will get the following:

a=12, b=-6.

We will integrate (i) on both sides, we will get:

\(f(x)=\frac{ax^3}{3} +\frac{bx^2}{2} +c\) where c is the integration constant.

In this equation, we will substitute a,b.

\(f(x)=\frac{12x^3}{3} +\frac{-6x^2}{2} +c\\ \\ f(x)= 4x^3-3x^2+c\)...................(iv)

Now we will substitute (iv) in (iii), and we will get:

\(\int\limits^2_1 {( 4x^3-3x^2+c)} \, dx =18\\ \\ (2^4-2^3+2c)-(1^4-1^3+c)=18\\ \\c=10\)

Therefore \(f(x)=4x^3-3x^2+10\).

Complete question:

Let f be a differentiable function, defined for all real numbers x, with the following properties. Find f(x). Show your work.

\((i) f'(x)=ax^2+bx\\ (ii) f'(1)=6, f''(1)=18\\ (iii) \int\limits^2_1 {f(x)} \, dx =18\)

To learn more about differentiable functions, refer to the link below:

https://brainly.com/question/15406243

#SPJ4

The value of x is given as follows:

x = 24.

The measure of angle DFE is given as follows:

<DFE = 62º.

To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angle measures for this problem are given as follows:

Hence the value of x is obtained as follows:

180 - 5x + 14 + 44 + 3x - 10 = 180

228 - 2x = 180

2x = 48

x = 24.

The measure of angle DFE is obtained as follows:

<DFE = 3(24) - 10

<DFE = 72 - 10

<DFE = 62º.

More can be learned about the sum of the measures of the internal angles of a triangle at https://brainly.com/question/25215131

#SPJ1

Given

An equation that defines y as a function of x is given as,

To solve the equation for y in terms of x, and replace y with function notation f(x) and to find f(3).

Explanation:

It is given that,

That implies,

Hence,

Also,

Hence, f(3)=2.

Answer:

pop music of 90