Use the information provided to answer Part A and Part B. A store owner paid \$ 15$15 for a book. She marked up the price of the book by 40\%40% to determine its selling price. ​ Part A What is the selling price, in dollars, of the book? ​Enter your answer in the box. ​ Part B A customer buys a different book that has an original selling price of \$ 38$38. The book is discounted 25\%25%. The customer must pay a 6\%6% sales tax on the discounted price of the book. ​What is the total amount, in dollars, the customer pays for the discounted book? ​Enter your answer in the box.

Using the area of a rectangle, it is found that 35 bags are needed to cover the rectangular lawn.

The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:

A = lw

In this problem, we have that the measures in feet are l = 360, w = 190, hence the area in square feet is given by:

A = 360 x 190 = 68,400.

The number of bags is then given by:

68,400/2,000 = 34.2

Rounding up, 35 bags are needed to cover the rectangular lawn.

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answer: b and a cannot be points on the unit circle so there for the answer is b and a

option A and option D

hope it helps...!!!

Answer:

B

Step-by-step explanation:

[tex]\sqrt[4]{2x^2} *\sqrt[4]{2x^3} =(2x^2)^{1/4}*(2x^3)^{1/4}\\= 2^{1/4}*(x^2)^{1/4} *2^{1/4} * (x^3)^{1/4}\\[/tex]

combine like terms

[tex]= 2^{2/4} *x^{2/4}*x^{3/4}\\= 2^{2/4} * x^{5/4}[/tex]

these steps use exponent laws

a few key ones i used:

(x^y^z) = x^(y*z)

x^y * x^z = x^(y+z)

let me know if you have any questions!

Answer:

[tex]\sf \left(\dfrac{1}{11},\dfrac{3}{11}\right)[/tex]

Step-by-step explanation:

The orthocenter is the point of intersection of the altitudes of a triangle.

(The altitude is the line that passes through the vertex and is perpendicular to the side opposite the vertex).

**Refer to attached diagram**

DC, EA and FB are the perpendicular lines drawn from the three vertices D, E and F.

[tex]\sf Let\:(x_1,y_1)=D\implies(x_1,y_1)=(1,3)[/tex]

[tex]\sf Let\:(x_2,y_2)=E\implies (x_2,y_2)= (-1,0)[/tex]

[tex]\sf Let\:(x_3,y_3)= F\implies (x_3,y_3)=(2,-1)[/tex]

G (x, y) is the intersection point of the three altitudes of the triangle, i.e. the orthocenter.

To find the point of intersection (orthocenter), we need to create linear equations for the altitudes, then equate them to find the point of intersection.

We only need to work with 2 altitudes.

Calculate the slopes of two sides of the triangle.

[tex]\sf \implies Slope\:of\:EF=\dfrac{y_3-y_2}{x_3-x_2}=\dfrac{-1-0}{2-(-1)}=-\dfrac{1}{3}[/tex]

[tex]\sf \implies Slope\:of\:DF=\dfrac{y_3-y_1}{x_3-x_1}=\dfrac{-1-3}{2-1}=-4[/tex]

As the slopes of the altitudes are perpendicular to the slopes of the sides:

[tex]\textsf{Slope of DC}=\sf \dfrac{-1}{\textsf{slope of EF}}=\dfrac{-1}{-\frac{1}{3}}=3[/tex]

[tex]\textsf{Slope of EA}=\dfrac{-1}{\textsf{slope of DF}}=\sf \dfrac{-1}{-4}=\dfrac{1}{4}[/tex]

Using point D (1, 3) and the slope of DC to create a linear equation for DC using the point-slope form of a linear equation:

[tex]\sf \implies y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-3=3(x-1)[/tex]

[tex]\implies \sf y=3x[/tex]

Using point E (-1, 0) and the slope of EA to create a linear equation for EA using the point-slope form of a linear equation:

[tex]\sf \implies y-y_1=m(x-x_1)[/tex]

[tex]\sf \implies y-0=\dfrac{1}{4}(x-(-1))[/tex]

[tex]\sf \implies y=\dfrac{1}{4}x+\dfrac{1}{4}[/tex]

To find the x-value of the point of intersection (the orthocenter), equate the equations and solve for x:

[tex]\implies \sf 3x=\dfrac{1}{4}x+\dfrac{1}{4}[/tex]

[tex]\implies \sf \dfrac{11}{4}x=\dfrac{1}{4}[/tex]

[tex]\implies \sf 11x=1[/tex]

[tex]\implies \sf x=\dfrac{1}{11}[/tex]

To find the y-value of the point of intersection (the orthocenter), substitute the found value of x into the equation for line DC:

[tex]\implies \sf y=3\left(\dfrac{1}{11}\right)[/tex]

[tex]\implies \sf y=\dfrac{3}{11}[/tex]

Therefore, the orthocenter is at point:

[tex]\sf \left(\dfrac{1}{11},\dfrac{3}{11}\right)[/tex]

An equation is formed of two equal expressions. The correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the total number of pages in the shorter book be represented by x, and the total number of pages in the longer book be represented by y.

Given the total number of pages of the shorter book and the longer book is  557. Therefore, the equation can be written as,

x+y =557

Also, Scott reads Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book, which is equal to 407 pages. Therefore,

(3/5)x + (5/6)y = 407

Hence, the correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.

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Answer:

See below

Step-by-step explanation:

Radius is the straight lne  distance from the center of the circle to any point on the circle.

Answer:

44 boots

Step-by-step explanation:

24/6=4

that means we have to multiply all the numbers by 4 as well

2*4=8

3*4=12

24+8+12=44

Step-by-step explanation:

[tex] = (s - 6) + (8s + 4)[/tex]

[tex] = s - 6 + 8s + 4[/tex]

Combine the like terms..

[tex] = s + 8s - 6 + 4[/tex]

[tex] = \boxed{\sf{9s - 2}}[/tex]

hence the answer is 9s - 2 .....

hope it helped !!!

Answer:

1/10

Step-by-step explanation:

I believe the answer is 1/10

The computation shows the radius of the circle that is inscribed in the isosceles triangle will be 3.33cm.

From the information given, the isosceles triangle the length of a base is 10 cm and the length of a leg is 13 cm.

Let A = area of the triangle

Let S = semi perimeter of the triangle.

The radius will be: = A/S

where,

[tex]S = \dfrac{(a + b + c)}{2} = \dfrac{(13 + 13 + 10)}{2} = 18[/tex]

The radius will be:

 [tex]=\dfrac{(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{13})(\sqrt{18} - \sqrt{10})} { 18}[/tex]

= 3.33cm

In conclusion, the radius is 3.33cm.

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Answer:

The length of the other two legs are 6√2.

since the hypotenuse is one of the legs multiplied by √2.

dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.

12/√2= 12√2/2= 6√2

Answer:

2x +7

Step-by-step explanation:

combine both x for instance 4x -2x =2× than add other numbers3+4=7

Angle 5 = 135

This is because corresponding angles are equal

Angle 6 = 180 - 135 = 45

This is because Angle 6 is on the same line as Angle 5, so you just need to subtract 135 from 180.

Angle 2 = 135

This is because opposite angles are equal

Answer:

Step-by-step explanation:

Answer:

ask your teacher for help. learn more today.

Step-by-step explanation:

Answer:

f(0)=4 ; f'(0)=0 ; f'(x)<0 for x<0 and f'(x)>0 for x>0

Step-by-step explanation:

Answer:

405

Step-by-step explanation:

Given

Solving

a_1=5

Answer:

See below

Step-by-step explanation:

x(x-2y)-(y-x)2  

Final result :

-y2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

x • (x - 2y) -  (y - x)2

Step  2  :

2.1     Evaluate :  (y-x)2   =    y2-2xy+x2  

Final result :

-y2

Answer:

y=60x

Step-by-step explanation:

Let x be the number of minutes, y be the

number of seconds

4=60x

{Direct variation}

The equilibrium price is $14 and the quantity is 24.

Equilibrium is the place in the market where there is no trend for change.

Buyers’ and sellers’ plans accord, and consequently quantity demanded equals quantity supplied.

The equilibrium price occurs when the quantity demanded equals the quantity supplied.

The demand and supply functions are, respectively:

Demand and supply in a market are described by the following equations: QD = 66-3p and qs = -4 + 2p.

The equilibrium price and quantity are;

QD = QS

66-3p = -4 + 2p

66 + 4 = 2p + 3p

70 = 5p

p = 70/5

p = 14

QD = 66-3p

QD = 66-3 × 14

QD = 66- 42

QD = 24

Hence, the equilibrium price is $14 and the quantity is 24.

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Answer:

The x-coordinate always comes first, followed by the y-coordinate. As you can see in the coordinate grid below, the ordered pairs (3,4) and (4,3) are two different points!

Step-by-step explanation:

Answer:

The x-coordinate always comes first

The present age  of the man is 70

a = 2b equation 1

105 = a + b equation 2

Where:

Substitute for a in equation 2

105 = 2b + b

105 = 3b

3b = 105

b = 35

Substitute for b in equation 1 : a = 2 x 35 = 70

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Answer:

15 feet

Step-by-step explanation:

From the question above,we are asked to find the volume of a cabinet with the following dimensions:

Height is five feet

Width is eighteen inches

And a depth of two feet.

Here it is quite obvious that we ate dealing with a cuboidal object since its dimensions differ from one another.

So volume of a cuboid as we all know is :

Length multiplied by width and then height

We should head straight away to the calculations, but we need to remember that the width is in inches and needs to be converted to feet

1 inch = 1/12 feet

18 inches = 18× 1/12

= 1.5 feet

L×W×H

= 1.5×5×2

= 15 feet

Answer:

1st and 3rd statements are true

Step-by-step explanation:

2u + 9v + 1

the constant term is the term with only a numeric value

in this case the constant term is 1

the coefficient of the term 2u is 2 ( the value in front of the variable u )

the coefficient of the term 9u is therefore 9

there are 3 terms in the expression 2u , 9v , 1

these terms are being added together , thus

2u + 9v + 1 is the sum of three terms

Answer:

[tex] \frac{5}{4} [/tex]

Step-by-step explanation:

To find the average of any amount of numbers, just add all the given numbers together and then divide by the amount of numbers given, in this case it would be :

[tex]( \frac{3}{4} + \frac{13}{5} + \frac{14}{10} + \frac{6}{24} ) \div 4[/tex]

The chronological organization allows us to organize the events sequentially according to the date of their occurrence.

The image shows several tables that refer to historical events around the world that we must organize chronologically.

To organize the events chronologically we must know the date on which they occurred, for this we must search for complementary information and establish the date of each one of them, especially the year.

Later, we can organize them and we have two alternatives, from the most recent to the oldest or from the oldest to the most recent. In this case we are going to organize them from the most recent to the oldest, so they would look like this:

Note: This question is incomplete because the image is missing. Here is the image.

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Step-by-step explanation:

well , adding the total cost we have $75.97 which is approximately $76 , getting 8% of that will be 76 × 8/100 , which is $6 , negate it from 76$ that gives is $70 spent and remember that initially he had 100 :. 100-70 which is $30 remaining

Answer:

V ≈ 523.6in³

Step-by-step explanation:

Using the second sphere volume equation results in:

4/3 x 3.14159 x 53 = 4.1866 x 125 = 523.6in3

y=mx+c

I picked the points (0, -4) and (-2,-10) to find the gradient of the line

M= rise/run

= 6/2

=3

Y-intercept is at - 4

Y= 3x - 4 is equation of the line given

Reciprocal of 3 is 1/3

(m1 x m2 = - 1)

So, to make - 1, our second gradient should be negative.

Gradient of the perpendicular line will be - 1/3

Y= - 1/3x + c

Substitute value of x & y into the equation

(-6,6) means x = - 6, y = 6

y = - 1/3x +c

6 = - 1/3 x - 6 + c

6 = 2 + c

-2

4 = c

Thus, final equation we're after will be:

y= - 1/3x + 4

Hope this helps!

Answer:

oringns

Step-by-step explanation: