A cake that costs $32 is on sale for 15% off and there are no taxes. Explain why the expression
(0.85).32 represents the final price of the cake in dollars.

Answer:

15/22

Step-by-step explanation:

There are 8 reading books and 7 science and 22 books in total so when you add 8+7 you get 15 and since there are 22 books in total you get 15/22.

This might be wrong because I was in a rush. Hope this helps though!

Answer:

150cm

Step-by-step explanation:

depth is 5 cm, so the area of one of the faces is 25 cm. theres 6 faces so 25*6= 150

Answer:

Loss: 9 points. Gain: 13 points

Step-by-step explanation:

Loss-

In order to get the loss of stock, add the points lost on Monday and Tuesday.

Gain-

In order to get the gain of stock, look at was gained on Wednesday.

Answer:

To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:

0.05 x 3.8 = 0.19

So, 0.19 gallons of engine oil should be added to the jerry can.

Answer:

  (b)  -4.5

Step-by-step explanation:

Choosing the correct answer here is not the same as knowing what the correct value is.

You know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.

You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...

  -10 +√30 ≈ -10 +5.5 = -4.5

__

Additional comment

Of course, a calculator can tell you the value to the desired precision.

The graph of the option in the question has a domain of -∞ < x < 3.5.

The domain of a graph are the possible x-values that can be obtained from the graph.

A graph that has a domain given by the inequality, -∞ < x < ∞ does not have a vertical asymptote.

An asymptote is a straight line to which a graph approaches, as either the x or y-value approaches infinity.

The given graph has a vertical asymptote at y ≈ 3.5

The domain of the given graph is therefore, -∞ < x < 3.5

Similarly, the graph has a horizontal asymptote at x ≈ 3

The range of the given graph is therefore, -∞ < y < 3.

A graph that has a domain of -∞ < x < ∞, extends to infinity to the left and the right of the graph.

A function that has a graph with a domain of -∞ < x < ∞ is one of direct proportionality.

An example is, y = x

Learn more about the domain and range of a graph here:

https://brainly.com/question/2083771

#SPJ1

Answer:

Step-by-step explanation:

(3/4)x = 1/10

multiply both sides by 4/3

x =  (1/10)(4/3) = 2/15

Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

The number of white tiles is 20 and the number of shaded tiles is 24

The ratio of white tiles to shaded tiles is given as 5:6

Total number of tiles = 44 tiles

Let x be the number of shaded tiles then the number of white tiles will be 44-x

Formualting the equation using the above variables we get:

Number of white tiles/Number of shaded tiles = Ratio of white tile/Ratio of shaded tile

= 44-x/x = 5/6

= 264-6x = 5x

= 264 = 11x

x = 24

Hence, the number of white tiles is 20 and the number of shaded tiles is 24

Learn more about ratios:

https://brainly.com/question/13419413

#SPJ9  

Answer: a

Step-by-step explanation:

9514 1404 393

Answer:

  1. f^-1(x) = 4/(x+2) -2

  2. f^-1(x) = (-(x+3)/2)^(1/5)

Step-by-step explanation:

1. As with all "inverse function" problems, solve for y:

  x = f(y)

  x +2 = 4/(y +2) . . . . add 2

  y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)

  y = 4/(x+2) -2 . . . . . subtract 2

We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.

  f^-1(x) = 4/(x+2) -2

__

2. x = f(y)

  x +3 = -2y^5 . . . . add 3

  -(x +3)/2 = y^5 . . . . . divide by 2

  (-(x +3)/2)^(1/5) = y . . . . take the 5th root

  f^-1(x) = (-(x +3)/2)^(1/5)

In typeset form, that is ...

  \(\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}\)

This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.

_____

The graphs show the function and inverse are symmetrical about the line y=x, as they should be.

The answer is \(Log_{b}200 = 2\)

A logarithm is the power to which a number must be raised in order to get some other number.

Given that, \(log_{b} 8 = 0.8, log_{b} 5 = 0.6\)

Using formula, \(log_{b} a+log_{b} b = log_{b} ab\)

\(log_{b} 5 +log_{b} 5 = log_{b} 5*5 = log_{b} 25\\= 0.6+0.6 = 1.2\\\\\)

\(log_{b} 200 = log_{b} 25*8\\log_{b} 25*8 = log_{b} 25 + log_{b} 25*8\\ log_{b} 25 + log_{b} 25*8 = 1.2 + 0.8 = 2\)

Hence, The answer is \(Log_{b}200 = 2\)

For more references on logarithm, click;

https://brainly.com/question/28346542

#SPJ1

Answer:

4 miles in 1 hour.

Step-by-step explanation:

1 hour = 60 mins

Ratios:

\(\frac{3}{45} =\frac{x}{60} \\\\45x=180\\x=4\)

Answer:

4 miles

Step-by-step explanation:

45/3=15 she runs 1 mile in 15 mins so in 1 hour she can jog 60/15=4 miles

Answer:

212.5%

Step-by-step explanation:

The fraction 17/8 can be expressed as 212.5% (rounded to 1 decimal place).

You can find this value by dividing the numerator by the denominator and multiplying the result by 100% :

17/8 in percent = 17 ÷ 8 × 100% = 2.125 × 100% = 212.5%

Hopefully it helps!

Answer:25

Step-by-step explanation:

40 multiple by 5 over 8 cross multiplication

Answer:

about 27 degrees

Step-by-step explanation:

all you do is 10 minus the negative 17 which two negative equal a positive so its then 10 +17 which equals 27

The quadratic function for the path of the basketball as it is thrown indicates;

The path of the basketball will not make the shot

The height reached is about 5.24 meters

A quadratic function is a function of the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, c, are numbers.

The function for the path of the basketball is; b(x) = (-1/7)·x² + 1.36·x + 2

The function for the location of the basketball net is; n(x) = 3 and (8 < x < 8.5), where;

n(x) = The vertical height of the basketball

Plugging in the value of the n(x) = b(x), to check if equations have a common solution, we get;

b(x) = n(x) = 3 = (-1/7)·x² + 1.36·x + 2

(-1/7)·x² + 1.36·x + 2 - 3 = 0

(-1/7)·x² + 1.36·x - 1 = 0

(1/7)·x² - 1.36·x + 1 = 0

Solving the above equation, we get;

x = (119 - √(9786))/(25) ≈ 0.803, and x = (119 + √(9786))/(25) ≈ 8.717

Therefore, the x-coordinates of the height of the path of the basketball when the height is 3 meters are 0.803 and 8.717, neither of which are within the range (8 < x < 8.5), therefore, the baseketball will not go through the net and the path will not make the shot.

Bonus; The x-coordinates of the highest point of a quadratic function, f(x) = a·x² + b·x + c is; -b/(2·a)

Therefore, the x-value at the highest point of the equation, b(x) = (-1/7)·x² + 1.36·x + 2 is; x = -1.36/(2 × (-1/7)) = 1.36 × 7/2 = 9.52/2 = 4.76

The height of the highest point is; b(9.52) = (-1/7)·(4.76)² + 1.36·(4.76) + 2 ≈ 5.24 meters

Learn more on quadratic equations here: https://brainly.com/question/24628957

#SPJ1

Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!

Answer:

The first part is 5

The maximum it can be is 200

Step-by-step explanation:

Because I said So

Sofie will not make a profit if she sells her scarves for $5 or less.

The maximum profit Sofie can make is $200.

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

According to the given problem,

y = (x - 5)(50 - 2x)

⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)

⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)

⇒ y - (x - 5)(-2x + 50) = 0

⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0

⇒ y - ( -2x² + 50x + 10x - 250) = 0

⇒ y - ( - 2x² + 60x - 250 ) = 0

⇒ y + 2x² - 60x + 250 = 0

⇒ 2x² -60x + y + 250 = 0

⇒ ( 2x² - 60x ) + y + 250 = 0

⇒ 2 ( x² - \(\frac{60}{2}\)x) + y + 250 = 0

⇒ 2 ( x² - \(\frac{2^{2} *3*5}{2}\)x) + y + 250 = 0

⇒ 2 ( x² - 30x ) + y + 250 = 0

⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0

⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0

⇒ 2( x - 15 )² + y = -2(-225) - 250

⇒ 2( x - 15 )² + y = 450 - 250

⇒ 2( x - 15 )² + y = 200

⇒ y = -2( x - 15 )² + 200

This equation is in the form of y =  a(x - h)² + k where the vertex of the parabola is (h , k).

Therefore the vertex of the parabola is at (15 , 200)

Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.

Learn more about parabola here:

https://brainly.com/question/5527217

#SPJ2

One current issue which relates to Malaysian Public Sector accounting is  Political support and willingness of the key stakeholders to initiate and carry out the reform.

Public sector accounting is a process used by government agencies and municipalities to record financial transactions. It focuses on tracking funds generated from tax revenues and expenditures related to projects or appropriations.

The issue is Political support and willingness of the key stakeholders to initiate and carry out the reform.

This, in some cases, might imply the support from the highest level of authorities, such as a President or a Prime Minister. In most of the cases, the Ministry of Finance (MoF) assumes the leading role in PSA reform implementation. Other key players, including the Treasury, Supreme Audit Institutions, and Professional Accounting Organizations (PAO), need to be also identified and involved to ensure the success of the reform process.

Learn more about public sector accounting on https://brainly.com/question/11503492

#SPJ1

Answer:

50% or 1/2 Could be 100% but i think it is 50%

Step-by-step explanation:

Because Changing the coin will make no difference.

The probability of getting heads is same as the probability of tails which is \(\frac{1}{2}\).

What is the probability?

The concept of probability is used to assign a numerical description to the likelihood of occurrence of an event.

Probability can be defined as the number of favorable outcomes divided by the total number of possible outcomes of an event.

Here given that,

The \(10\) tosses of a coin were all heads, and you switch to a new coin.

So, the probability of getting all heads is \(2^{-n}\)

And we have \(n=10\),

Then, the probability of getting the heads is

\((^{n}C_k)(\frac{1}{2})^k(\frac{1}{2})^{n-k}=2^{-n}(^nC_k)\)

Hence, the probability of getting heads is same as the probability of tails which is \(\frac{1}{2}\).

To know more about the probability

https://brainly.com/question/26257968

#SPJ2

a function is odd if f(-x) = - f(x)

f(x) = x³ + 2x

and

f(-x) = (-x)³ + 2 * (-x) = - x³ - 2x = - (x³+2x) = - f(x)

Answer:

Step-by-step explanation:

tlk here

Answer:

Hi how are you doing today Jasmine

Answer:

5%

Step-by-step explanation:

Percent error equation is:

(Absolute value of experimental value - actual value / actual value) * 100

Experimental Value: 315

Actual Value: 300

315 - 300 / 300 = 0.05

0.05*100 = 5

Percent error is 5%

Answer: the percent error is 5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

No. Each side must be less than the sum of the remaining two sides.

10 ≮ 5+1

The area of the portion of S lying outside R is 63xy

A rectangle is a polygon with four sides , four angles and four vertices , It has opposite sides parallel and equal.

It is given in the question that

A rectangle R has width x and length y.

A rectangle S is formed from R by multiplying each of the sides of rectangle R by 8

Area of R is xy

Area of S is 8x * 8y = 64xy

The area of the portion of S lying outside = 64xy - xy = 63xy

To know more about Rectangle

https://brainly.com/question/15019502

#SPJ1

well because he did not do it

Notice how

2x-5 = 2x - 2*2.5 = 2(x-2.5)

This means we can replace x with x-2.5 in the second step, in the "wrong way" column.

So,

y = ln(2x)

y = ln( 2(x-2.5) )

y = ln( 2x - 2*2.5 )

y = ln( 2x - 5 )

In the second step, the x-2.5 tells the reader to shift the curve 2.5 units to the right. Therefore, the 1/2 = 0.5 would shift to 0.5+2.5 = 3 as indicated by the correct graph.