7) A coat is selling for 3/4 of the original price. The sale price is $180. Write and solve
an equation to determine what the original price of the jacket is.

Answer: The scale factor of the dilation [tex]=\dfrac32[/tex]

Step-by-step explanation:

[tex]\text{Scale factor}=\dfrac{\text{Side in image}}{\text{Corresponding side in preimage}}[/tex]

Given: Rectangle A has a length of 6 and width of 4.

Rectangle A prime has a length of 9 and width of 6.

Scale factor = [tex]\dfrac{9}{6}\ \ \ or \ \ \dfrac{6}{4}[/tex]

[tex]=\dfrac32[/tex]

Hence, the scale factor of the dilation [tex]=\dfrac32[/tex]

Answer:

3/2

Step-by-step explanation:

Answer:

560

Step-by-step explanation:

The best way to do this is to write it out, but with large ones like this you should use the equation:

C(n,r) = n!/(r!(n-r)!),

where:

C(n,r) is the number of combinations;

n is the total number of elements in the set; and

r is the number of elements you choose from this set.

Answer:

It's the third option.

Step-by-step explanation:

Because if [tex]\frac{7}{10}[/tex] was converted into a decimal it would be 0.7 plus 666, it would be 666.7

Answer:

it's the 3rd one

Answer:

place value is the answer

Answer:

The answer is 'PLACE VALUE'

Step-by-step explanation:

She had hiccups so she ordered a glass of water. The man noticed so he pulled out a gun to give her a scare. Being startled is said to make hiccups stop. Therefore, she thanked him for ending her hiccups and left.

Answer: Choice B) 35.3 degrees

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

Work Shown:

Apply the law of sines

sin(S)/s = sin(R)/r

sin(S)/16 = sin(120)/24

sin(S) = 16*sin(120)/24

sin(S) = 0.57735026918962

S = arcsin(0.57735026918962)

S = 35.2643896827542

S = 35.3

Make sure your calculator is in degree mode.

Answer:

72-63=9

9/72=13%

13% IS .13 SO TENTH IS .1

I AM NOT SURE ABOUT THE TENTH

Step-by-step explanation:

Answer:

to multiply-----

(2y-1)(2y+1)

2y(2y+1)-1(2y+1)

4y^2+2y-2y-1

=4y^2-1

Answer:

16

Step-by-step explanation:

Answer:

[tex]A_1 = 24m^2[/tex] -- Swing set

[tex]A_2 = 16m^2[/tex] -- Slide

[tex]A_3 = 5m^2[/tex] --- Pathway

Step-by-step explanation:

Missing part of the question:

Fill in the table above to show the area of each section (see attachment for table)

The area of each section is calculated as:

[tex]Area = Length * Width[/tex]

For the Swing set

[tex]A_1 = 8m * 3m[/tex]

[tex]A_1 = 24m^2[/tex]

For the Slide

[tex]A_2 = 8m * 2m[/tex]

[tex]A_2 = 16m^2[/tex]

For the Pathway

[tex]A_3 = 5m * 1m[/tex]

[tex]A_3 = 5m^2[/tex]

The total area is:

[tex]Area=A_1 + A_2 + A_3[/tex]

[tex]Area = 24m^2 + 16m^2 + 5m^2[/tex]

[tex]Area = 45m^2[/tex]

Answer: A

Step-by-step explanation:

The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.

[tex]\sin(45)=\frac{z}{5\sqrt{2} }[/tex]

z = 5

To solve for x, we can use sine again but for the 30 degree angle.

[tex]\sin(30)=\frac{5}{x} \\x=10[/tex]

Answer:

x=10

Step-by-step explanation:

The middle triangle has d as the hypotenuse and is an isosceles right triangle. The sides of such a triangle are in the ratio of y, y, and [tex]\sqrt{2}y[/tex].

For this triangle

[tex]\sqrt{2}y=5\sqrt{2}[/tex]

so y=5.

Tthe triangle on the right is a 30, 60, 90 triangle with sides in the ratio of

y, [tex]\sqrt{3}y[/tex], and 2y.  So

2y=x=10    

Answer  

68 bicycles.  

Let there be x bicycles, then there are (93 - x) tricycles.

From the given values:

2x + 3(93 - x) = 211

2x + 279 - 3x = 211

-x = 211 - 279 = -68

x = -68/-1 = 68.

Hence, the wheels were on the block if there were [tex]x[/tex] bicycles and [tex]y[/tex] cars are [tex]x=68[/tex] bicycles.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. '

Here given that,

Adam made note of all the bicycles and cars he could see parked or locked on a certain city block. All the cars had exactly four wheels, and all the bicycles had exactly two wheels.

Suppose that there are [tex]x[/tex] bicycles, then there are [tex](93 - x)[/tex] bicycles.

So,

[tex]2x + 3(93 - x) = 211\\2x + 279 - 3x = 211\\-x = 211 - 279 = -68\\x = \frac{-68}{-1}\\x= 68.[/tex]

Hence, the wheels were on the block if there were [tex]x[/tex] bicycles and [tex]y[/tex] cars are [tex]x=68[/tex] bicycles.

To know more about the simplification

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Answer:

The biggest one is 32 to 38

Step-by-step explanation:

hope it helps

Answer:

since a whole triangle is 180 you can do 60×3

Answer:

Step-by-step explanation:

Whole triangle = 180°

90 + 60 + 30

Answer:

3(14)+2(9) is the equation

$60 is the total cost

Tell me if im right :)

Answer:

T=60

Step-by-step explanation:

Answer:

ƒ(g(x)) = 18x - 8

Step-by-step explanation:

We're looking for the composition of f and g, in which function g is the input to function f.  Literally replace "x: in f(x) with g(x) = 6x - 5:

ƒ(g(x)) = 3(6x - 5) + 7, or, after simplification,

ƒ(g(x)) = 18x - 15 + 7, or 18x - 8

9514 1404 393

Answer:

  85°

Step-by-step explanation:

Each of the isosceles triangles PAB and QBC has interior base angles of ...

  (180° -80°)/2 = 50°

Then angle PBC is 90° -50° = 40°.

Segments PB and QB are the same length, so triangle PBQ is an isosceles right triangle. This means angle BPQ is 45°. Angle QEB is the sum of the remote interior angles of ∆BEP, so is 45° +40° = 85°.

The acute angle between PQ and BC is 85°.

Answer:

Horizontal

Step-by-step explanation:

Answer:

y = 9 is a horizontal line :)

Step-by-step explanation:

y=9 is the equation of a horizontal line. The slope is 0. This means that for any value of x that is chosen, the y-value is always 9 Hence y=9 .

Answer:

Step-by-step explanation:

In order to simplify we do the following...

[tex]5y + \frac{5}{14} + 9n + \frac{2}{14} + 2y - 3n = (5y +2y) +(\frac{5}{14}+ \frac{2}{14}) + (9n - 3n) = 7y + \frac{1}{2} + 6n[/tex]

Answer:

This expression can be simplified to 7y + 6n + 1/2

Step-by-step explanation:

You can find this by grouping like terms and adding them together.  Starting with the expression we're given:

5y + 5/14 + 9n + 2/14 + 2y - 3n

Let's make it easier by grouping like terms:

(5y + 2y) + (9n - 3n) + (5/14 + 2/14)

Now we'll add them together:

7y + 6n + 7/14

And finally, we can simplify that fraction by factoring 7 out of both the numerator and denominator:

7y + 6n + 1/2

And now we have the final answer.

Answer:

G (1,7)

H (2,7)

F (1,-1)

E (2,-1)

Step-by-step explanation:

The image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

The process of changing the location of the image on the coordinate system will be known as the translation. A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that graph the image of rectangle EFGH after a reflection over the line x= –1. Translated image of the points is attached with the answer below. The translated points are G (1,7), H (2,7), F (1,-1), and E (2,-1).

Therefore, the image of rectangle EFGH after a reflection over the line x = –1 will cover the points G (1,7), H (2,7), F (1,-1), and E (2,-1).

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Answer:

The difference between the principal and the compound interest in three years is Rs 17,994

Step-by-step explanation:

The compound interest is given according to the following formula;

[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]

The given amount of the compound after 2 years = Rs 5,460

The given amount of the compound after 4 years = Rs 12,066.60

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)

[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)

Dividing equation (2) by (1), we have;

[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]

[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]

[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]

∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)

∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)

12,066.60/5,460 = x + 1

x =  12,066.60/5,460 - 1 = 1.21 = 121/100

x = 121/100

[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]

[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]

We get

[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]

[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]

[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]

[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]

[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]

r = 100 × 0.1 = 10%

r = 10%

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]

[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]

[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]

The principal = Rs. 26,000

The compound interest in 3 years is therefore;

[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]

The difference, 'd', between the principal and the compound interest in three years, is given as follows;

d = P - CI₃

d = 26,600 - 8606 = 17994

The difference between the principal and the compound interest in three years, d = Rs 17,994.

Answer:

d

Step-by-step explanation:

Answer

1,049.18 and 20,125.18

Step-by-step explanation:

increase: 19,076*0.055 = 1,049.18

new price: 19,076*1.055 = 20,125.18

This triangle is called a 45-45-90 triangle, and the side ratio for the sides opposite to the 45-45-90 degree angles respectively are 1-1-sqrt2

Now we know one side is 6 and its opposing the 45 degrees angle and BC is opposing the 90 degrees angle the ratio between the sides are 1:sqrt2

Therefore BC=6*sqrt2=6sqrt2

Thus B is the correct answer!

Hope this helped any questions just leave them in the comments of this answer.

Ce clasă ești sa văd daca te pot ajuta

Answer:

Step-by-step explanation:

Sum of nth term of a GP is expressed as;

Sn = a(r^n-1)/r-1

The sum of the first 8 terms of a GP is expressed as;

S8 = a(r^8 - 1)/r-1

The sum of first 4 terms is expressed as;

S4 = a(r^4 - 1)/r-1

If the sum of the first 8 terms of a GP is five times the sum of first 4 terms then

S8 = 5S4

a(r^8 - 1)/r-1 = 5[a(r^4 - 1)/r-1]

r^8 - 1 = 5(r^4 - 1)

r^8 - 1 = 5r^4 - 5

r^8 - 5r^4 = -5+1

r^4(r^4 - 5) = -4

r^4 - 5 = -4

r^4 = -4+5

r^4 = 1

r = 1

Hence the common ratio is 1

Answer: X   =    -16.5 / -16 1/2 / -33/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

a)

6.9+1.1= 8

b)

9.9+2.45=12.35

[tex]12 \frac{35}{100} [/tex]

c)

2.4+8.9=11.3

[tex]11 \frac{3}{10} [/tex]

d)

6.37+7.7=14.07

[tex]14 \frac{7}{100} [/tex]

x = 2

The line of symmetry is the line at which the parabola is the same on each side. With the line x = 2 , each side of the parabola is the same.

I am not a professional, simply using prior knowledge!

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