A firm pays ​$52 for a car seat and wants a 34​% markup for operating expenses as well as a 6​% markup for profit.​ However, customers think the car seats are​ ugly, so they are not selling. Management reduces the price of each car seat by ​$25 to get rid of them.
Find ​(a) the selling​ price,
​(b) the reduced​ price,
​(c) the percent of​ markdown,
and ​(d) any operating or absolute loss.

The probability that the student does not know the answer but he randomly guesses it is 0.146025

The question has only one right answer out of 5 choices.

Probability he answers incorrectly:

1 - 0.55 * 4/5

= 0.45 * 0.8

= 0.36

Probability he does not know answer but answers the question correctly

[tex]\frac{(1-0.55)\frac{1}{5} }{0.55+(1-0.55)\frac{1}{5} }[/tex]

= 0.09/0.55+0.09

= 0.140625

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Answer:

The GCF for the numerical part is 2

Step-by-step explanation:

6x^2y^2-8xy^2+10xy

It contains both numbers and variables, there are two steps to find the GCF(HCF).

1). Find the GCF for the numerical part 6, -8,10

2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3

3).Multiply the values together.

Find the common factors for the numerical part:

6,-8,10

Factors of 6

6: 1,2,3,6

Factors of -8

-8: -8,-4,-2,-1,1,2,4,8

Factors of 10

10:1,2,5,10

Common factors of 6,-8, 10 are 1,2

The GCF Numerical=2

The GCF Variable= xy^2

Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2

Answer:

Distributive

Step-by-step explanation:

Answer:

The numbers are 8 , 5 , 1

Step-by-step explanation:

Let the three numbers be x,y,z

Sum of three numbere is 14

⇒ x +y + z = 14 ---------------(I)

The sum of twice the first number, 4 times the second number, and 5 times the third number is 41.

⇒ 2x + 4y + 5z = 41 -----------(II)

The difference between 7 times the first number and the second number is 51.

⇒  7x -y = 51 ---------------(III)

Multiply equation (I) by (-5) and then add this wiht equation (II). Thus 'z' will be eliminated.

(I)*(-5)        -5x - 5y - 5z = -70

(II               2x + 4y + 5z = 41   {Now add}

                -3x   - y          = - 29  ------------(IV)

Multiply (III by (-1) and then add it with equation (IV)

(III)*(-1)        -7x + y = -51

(IV)             -3x - y = -29   {Now add}

                 -10x     = -80

                          x = -80 ÷ (-10)

x = 8

Plugin x = 8 in equation (III) and we obtain the value of y

7*8 - y = 51

56 - y = 51

     -y = 51 - 56

    -y = -5

   y = -5 ÷ (-1)

y = 5

Plugin x =8 and y =5 in equaiton (I)

8 + 5 + z = 14

    13 + z = 14

         z  = 14 - 13

 z = 1

Answer:

  380 = 40h +200 (equation)

  4 1/2 hours (solution)

Step-by-step explanation:

The total cost is the sum of labor cost and parts cost. The labor cost depends on the number of hours.

__

An equation describing Terry's charges might be ...

  total = labor cost + parts cost

  380 = 40h +200 . . . . . . labor was $40 per hour for each of h hours

  180 = 40h . . . . . . subtract 200

  4.5 = h . . . . . . divide by 40

Terry was charged for 4 1/2 hours of labor.

Answer:

33%

Step-by-step explanation:

77 + 233= 300 so 33% don't have a license

Answer:

2,106 pi mm3

Step-by-step explanation:

Volume of the drill bit is equals to [tex]2,106\pi mm^{3}[/tex].

" Volume is defined as the total space occupied by a three dimensional object enclosed in it. It is measured in cubic unit."

Formula used

Volume of the cone =  [tex]\frac{1}{3} \pi r^{2}h[/tex]

Volume of the cylinder =[tex]\pi r^{2}h[/tex]

r = radius of the cone / cylinder

h = height of the cone / cylinder

According to the question,

Given,

Radius of the cylinder = 9 mm

Radius of the cone = 9 mm

Height of the cone = 24 mm

Height of the cylinder = 18 mm

Substitute the values in the formula to obtained the required volume,

Volume of the cone [tex]= \frac{1}{3} \pi (9^{2})(24)[/tex]

                                 [tex]= \pi (81)(8)\\=648\pi mm^{3}[/tex]

Volume of the cylinder [tex]= \pi (9^{2} )(18)[/tex]

                                       [tex]=1458\pi mm^{3}[/tex]

Required Volume of the drill pit

= Volume of the cone + Volume of the cylinder

[tex]= (648\pi + 1458\pi )mm^{3} \\= 2106\pi mm^{3}[/tex]

Hence, Option(B) is the correct answer.

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Answer:

3

Step-by-step explanation:

3^1 = 3, 3^2 = 9, 3^3 =27, 3^4 =81,

3^5 = 243, etc. We see that the last digits of the powers of 3 are 3, 9, 7, and 1. If we continue this pattern, the last digit of 3^73 is 3. So if 3^73 is divided by 5, the remainder is 3.

Answer:

58.8 ft^2

Step-by-step explanation:

The formula for the area of a parallelogram is simply base times height.

the base is 9.8, and the height is 6.

9.8 * 6 = 58.8.

If you found this helpful, I would appreciate if you gave me brainliest :D

Answer:

The process of making financial decisions for new ventures (i.e. startups). New ventures are inherently different from established ventures, as are entrepreneurs inherently different from conventional business managers.

Answer:

Im 98% sure its the first one

Step-by-step explanation:

Answer:

216 square feet

Step-by-step explanation:

First we must convert both dimensions to feet. 1 yd = 3 feet

8 yd = 24 feet and 3 yd = 9 feet

We got the yd by multiplying by 3 to get the number of fett.

Area of a rectangle = base * height

24 feet * 9 feet = 216 square feet

Ahhh yes, the time-honored permutations.

The permutation format, to start with, is P(n, r).

The formula is:

In this instance, we have P(8, 3).

8 will go in for n and 3 for r. So now let's solve.

[tex]\frac{8!}{(8 - 3)!}[/tex]    →   [tex]\frac{8!}{5!}[/tex]   →   [tex]\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}[/tex]  →   [tex]8*7*6[/tex]  →  [tex]336[/tex]

Therefore 336 is our answer. I hope this answers your question.

-Toremi

Answer:

the answer is 3 :))

Step-by-step explanation:

9/3= 3

Answer:

I think its 50 if this is correct can u mark me brainliest?

Answer:

.2 dollars and 17 cents

Step-by-step explanation:

Carlos has 8dollars and 48 cents --->8+0.48=8.48

Alissa has 4dollars and 14 cents--->4+0.14=4.14 let

x--->amount of money that Carlos needs to give Alissa

The linear equation that represents this situation is 8.48-x=4.14+x

2x=8.48-4.14

2x=4.34

x=2.17

the amount of money is 2 dollars and 17 cents.

thank you

by Angel osei

Answer:

Your Answer is A.

Step-by-step explanation:

Looking at the picture the LM is the original and wants to translate it to L'M'.

So Right 5 and 2 up.

Answer:

A

Step-by-step explanation:

LM is 5 units away from LM'

LM is 2 units down from LM'

Answer:

Step-by-step explanation:

Brainlest me please

#a

Take one coordinate and solve

So

Take another

So

Hence k=4

#b

Graph attached

#c

Turn to vertex form

Compare to vertex form

So

#d

At no intervals of x the graph decreases negatively

Because

#d

So if y be 0

x intercepts are

Zeros are

Answer:

182.0

Step-by-step explanation:

500 tan20

=181.98

=182.0(to nearest tenth)

Answer:

Step by step I don't see the correct first step.

Step-by-step explanation:

Solve for x:

8 x - 13 = 2 x + 17

Hint: | Move terms with x to the left hand side.

Subtract 2 x from both sides:

(8 x - 2 x) - 13 = (2 x - 2 x) + 17

Hint: | Combine like terms in 8 x - 2 x.

8 x - 2 x = 6 x:

6 x - 13 = (2 x - 2 x) + 17

Hint: | Look for the difference of two identical terms.

2 x - 2 x = 0:

6 x - 13 = 17

Hint: | Isolate terms with x to the left hand side.

Add 13 to both sides:

6 x + (13 - 13) = 13 + 17

Hint: | Look for the difference of two identical terms.

13 - 13 = 0:

6 x = 17 + 13

Hint: | Evaluate 17 + 13.

17 + 13 = 30:

6 x = 30

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 6 x = 30 by 6:

(6 x)/6 = 30/6

Hint: | Any nonzero number divided by itself is one.

6/6 = 1:

x = 30/6

Hint: | Reduce 30/6 to lowest terms. Start by finding the GCD of 30 and 6.

The gcd of 30 and 6 is 6, so 30/6 = (6×5)/(6×1) = 6/6×5 = 5:

Answer: x = 5

Answer:

a) We need to find p(x<68.15)

Standardize x to z, we have, z = (68.15-μ)/σ

=(68.15-57)/8.1

=1.38

Reading from standard normal tables,

p(z<1.38) =0.9162.

b) We need to find p(x>54.4)

Standardize x to z, we have, z = (54.4-μ)/σ

=(54.4-57)/8.1

=-0.32

Reading from standard normal tables,

p(z>-0.32) = 0.6255

Answer:

True

Step-by-step explanation:

limx→b [3f(x)-4g(x)]

limx→b [3f(x)-4g(x)]= limx→b [3f(x)] - limx→b [4g(x)]

= 3[limx→b f(x)] - 4[limx→b g(x)]

Since limx→b f(x) = 2 and limx→b g(x) = 10,

= 3(2)-4(10)

= -34

Step-by-step explanation:

the sum of interior angles in a triangle is 180°.

the sum of interior angles of a polygon, is the product of the number of triangles in the polygon (that can be created from a single vertex or corner via lines to all other corners) and 180°.

so, in reality, the number of triangles in each polygon is two less than the number of sides (because the lines to the 2 neighboring corners are sides and do not create triangles).

so the formula for the sum of all interior angles is

(n - 2) × 180

with n being the number of sides of the polygon.

in our case

(14 - 2) × 180 = 12×180 = 2160°

Answer:

There are two complex roots

Step-by-step explanation:

Answer:

A. There are two complex roots

Step-by-step explanation:

got it right on edg.2022 <3

Answer:

p = 1.26

Step-by-step explanation:

We know that the total weight (p) is going to be split equally (divided) by 3.

We also know that divided weight will be equal to 0.42 pounds.

p / 3 = 0.42

To solve:

multiply both sides by 3 to cancel the division by 3

p = 1.26

To test this you could divide 1.26 by 3 again to get 0.42

Answer:

Loss is Rs. 78

Step-by-step explanation:

Solution:

Given,

Here,

L%= L/CP ×100%

or,. 5 =L/1560×100

or,. 5×1560/100 =L

or,. L= Rs.78

Therefore, Loss is Rs.78