If a dress costs $27.00 when it is on sale for 10% off, what is its original cost?

Answer:

[tex]=\frac{4y}{y+3}[/tex]

Step-by-step explanation:

[tex]\frac{2y}{y-3}\cdot \frac{4y-12}{2y+6}\\\frac{4y-12}{2y+6}=\frac{2\left(y-3\right)}{y+3}\\\frac{4y-12}{2y+6}\\\mathrm{Factor}\:4y-12:\quad 4\left(y-3\right)\\4y-12\\\mathrm{Rewrite\:as}\\=4y-4\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}4\\=4\left(y-3\right)\\=\frac{4\left(y-3\right)}{2y+6}\\\mathrm{Factor}\:2y+6:\quad 2\left(y+3\right)\\2y+6\\\mathrm{Rewrite\:as}\\=2y+2\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}2\\=2\left(y+3\right)\\=\frac{4\left(y-3\right)}{2\left(y+3\right)}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{4}{2}=2\\=\frac{2\left(y-3\right)}{\left(y+3\right)}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{2\left(y-3\right)}{y+3}\\=\frac{2y}{y-3}\cdot \frac{2\left(y-3\right)}{y+3}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\\=\frac{2y\cdot \:2\left(y-3\right)}{\left(y-3\right)\left(y+3\right)}\\\mathrm{Cancel\:the\:common\:factor:}\:y-3\\=\frac{2y\cdot \:2}{y+3}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2=4\\=\frac{4y}{y+3}[/tex]

Answer:

12/6

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

135-98 equals 37

Answer:

To get the solution, we are looking for, we need to point out what we know.  

1. We assume, that the number 52 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 52 is 100%, so we can write it down as 52=100%.  

4. We know, that x is 20% of the output value, so we can write it down as x=20%.  

5. Now we have two simple equations:

1) 52=100%

2) x=20%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

52/x=100%/20%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 20% of 52

52/x=100/20

(52/x)*x=(100/20)*x       - we multiply both sides of the equation by x

52=5*x       - we divide both sides of the equation by (5) to get x

52/5=x  

10.4=x  

x=10.4

now we have:  

20% of 52=10.4

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

8^3 = 512

(8^2)*(4^2) = 1024

512/1024 = 0.5

Answer:

40% chance or probability

Step-by-step explanation:

30 people total 12 have had a cat, convert into fraction, 6/15, convert into a percent and you get 40%

Options :

A) the confidence interval will be wider.

B) the confidence interval will be narrower.

C) there is not enough information to determine the effect on the confidence interval.

D) the confidence interval will be less likely to contain the parameter being estimated.

E) the confidence interval will not be affected.

Answer: A) The confidence interval will be wider

Step-by-step explanation: In statistics, When a higher confidence interval is used to estimate a proportion with other factors being held constant, the confidence interval will be wider. Since the confidence interval is aimed at tweaking the precision of our measurement or estimation, when we adopt a higher confidence level, we are trying g to reduce our chances of being wrong and hence increasing our precision and thus widening the level of confidence in the result obtained. That said, 95% confidence interval is wider than 90%. And 99% is wder than 95%.

Part (i)

Compute the slope of the line through the two points (0,0) and (4,8)

m = (y2 - y1)/(x2 - x1)

m = (8-0)/(4-0)

m = 8/4

m = 2

The slope of this line is 2, so,

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

Part (ii)

The two points we're working with are (4,8) and (6,8). The slope is...

m = (y2 - y1)/(x2 - x1)

m = (8-8)/(6-4)

m = 0/2

m = 0

Horizontal lines always have a slope of 0 to indicate no change in height.

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

Part (iii)

Same idea as the previous parts. The endpoints are (6,8) and (9,14)

m = (y2 - y1)/(x2 - x1)

m = (14-8)/(9-6)

m = 6/3

m = 2

This piece also has slope 2. This piece is parallel to the first piece. Parallel lines have equal slopes but different y intercepts.

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

Part (iv)

As you can see, with average velocity, all we care about are the starting and ending points. We aren't concerned at all with what happens in between.

Comparing the results for part (i) and part (iv)(b), we see that the velocity has gone down. This is due to the flat portion in which you aren't moving.

Answer:112.5

Step-by-step explanation: multiply then all together length then width them height

Answer:

112.5

Step-by-step explanation:

i did the assignment

Answer:

a. 6.48 miles   b. 9.54 miles

Step-by-step explanation:

a. 7/x=x/6

x^2=42

x=6.48

b. 13/x=x/7

x^2=91

x=9.54

Answer:

A. 6.48 miles  

B. 9.54 miles

Step-by-step explanation:

hope this helps :-)

Answer:

(5x+1)(2x^2+1)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

Answer:

8

Step-by-step explanation:

[-2][-2]=-2 x-2=4

4+4=8

Answer:

l >= 9 and w >= 6

Step-by-step explanation:

The perimeter of the rectangle can be found by:

→ Perimeter = (2 x length) + (2 x width) (1)

Since the length is 3 inches greater than the width:

→ l = w + 3

Also, the perimeter is at least 30 inches

If you substitute the values in the equation 1:

→ (2 x l) + (2 x w) >= 30

→ (2 x (w + 3)) + (2 x w) >= 30

→ 2 x w + 6 + (2 x w) >= 30

→ 4 x w >= 24

→ w >= 6

Since l = w + 3, l >= 9

Answer:

75>5t

Step-by-step explanation:

Here is the information given:

75 is the maximum

5 per table

t is table

So, 75 is greater than or equal to the number of tables.

If 5 is the max seated at a table we know that it will be 5 people per table or 5t

Which gives us 75>5t

Furthermore, when solving we get t=15, when plugging this in the inequality becomes 75>75 which is true.

Hope this helps!

Answer:

13.015625

Step-by-step explanation:

Answer:

13 remainder 1.

I have attached the work to your question.

Please see the attachment below.

I hope this helps!

Answer:

y = 400 (amt invested at 4%)

x = 500 (amt invested at 7%)

Step-by-step explanation:

Kindly check attached picture for detailed explanation

Answer:

Step-by-step explanation:

Which statements are true? Check all that apply.

The total possible outcomes can be found using 52C5.

The total possible outcomes can be found using 52P5.

The probability of choosing two diamonds and three hearts is 0.089.

The probability of choosing five spades is roughly 0.05

The probability of choosing five clubs is roughly 0.0005.

Since it can be chosen in any order, we use combination and not permutation. The number of ways of choosing 5 cards from a group of 52 cards is 52C5.

The probability of choosing two diamonds and three hearts = [tex]\frac{^{13}C_2*^{13}C_3}{^{52}C_5} = 0.0086[/tex]  so the third one is not true.

The probability of choosing five spades = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005. The fourth statement is not true

The probability of choosing five clubs  = [tex]\frac{^{13}C_5}{^{52}C_5}[/tex] ≈ 0.0005, the fifth one is.

So the answer is the first and fifth statement.

The probability of selecting a combination of cards is given by the ratio of

the ways of selecting the cards to the number of possible outcomes.

The true statements are;

Reasons:

First statement;

Number of cards in the deck of playing cards = 52

The number of possible outcome is given by the combinations of 5 that can be chosen from 52, as follows;

[tex]\displaystyle The \ \mathbf{number} \ of \ \mathbf{possible \ outcomes}} = _{52}C_5 = \frac{52!}{5! \cdot (52 - 5)!} = 2598960[/tex]

Therefore;

Third statement;

The number of ways of choosing two diamonds is found as follows;

[tex]\displaystyle Choosing \ two \ diamonds = _{13}C_2 = \mathbf{\frac{13!}{2! \cdot (13 - 2)!}} = 78[/tex]

The number of ways of choosing three hearts is found as follows;

[tex]\displaystyle Choosing \ three \ hearts = _{13}C_3 = \frac{13!}{3! \cdot (13 - 3)!} = 286[/tex]

The number of ways of choosing two diamonds and three hearts is found as follows;

[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \frac{_{13}C_2 \times _{13}C_3}{_{52}C_5} = 0.00858[/tex]

Therefore, the number of ways of choosing two diamonds and three hearts ≠ 0.089

[tex]\displaystyle Choosing \ two \ diamonds \ and \ three \ hearts = \mathbf{\frac{_{13}C_2 \times _{13}C_3}{_{52}C_5}} \neq 0.089[/tex]

Fourth  statement;

[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]

Therefore;

[tex]\displaystyle Probability \ of \ choosing \ five \ spades = \mathbf{\frac{_{13}C_5 }{_{52}C_5}} \neq 0.05[/tex]

Fifth statement;

[tex]\displaystyle Probability \ of \ choosing \ five \ clubs= \frac{_{13}C_5 }{_{52}C_5} \approx 0.0005[/tex]

Therefore;

The possible question options in the question are;

The total possible outcomes is given by ₅₂C₅

The total possible outcomes is given by ₅₂P₅

Probability of choosing 3 hearts and 2 diamonds is 0.089

The likelihood of choosing 5 spades is approximately 0.05

The likelihood of choosing 5 clubs is approximately 0.0005

Learn more about combinations and probability here:

https://brainly.com/question/25718474

Answer:

-6

Step-by-step explanation:

10t = -30 + 5t, Inverse operations

'5t -5t. Subtract 5t from both sides

5t = -30. Divide by 5 both sides

/5. /5

t = -6

Answer:

18 x 15 x 3 is 810. The volume is 810.

Step-by-step explanation:

Volume of cuboid= Length*Width*Breadth

Volume of container= 18 cm X 15 cm X 3cm

Volume of container=810

Hope i helped

Answer:

[tex]810[/tex] centimeters cubed.

Step-by-step explanation:

The formula: [tex]Length * width * height[/tex]

[tex]18 *15*3 =810[/tex] centimeters cubed

Answer:

Step-by-step explanation:

Answer:

Antonyms. achromatic exhale spiny-finned fish extinguish hypopigmentation. Etymology.

Step-by-step explanation:

none but google

Answer:

If you mean char = a charred substance then you could have cool, extinguish, put out, smother, stifle or subdue.

Step-by-step explanation:

Google... everything's google

Answer:

Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5

Step-by-step explanation:

Hi, to answer this question we have to analyze the statement given and write an equation:

Sixteen is five less than a number

So, the number sixteen (16) is (=) five less (-5) than a number (n).

We have to subtract 5 to a number (x) and that expression must be equal to 16.

Mathematically speaking:

16= n-5

So, the correct option is:

Replace "is" with =, "less than" with –, and "a number" with n to get 16 = n – 5

Feel free to ask for more if needed or if you did not understand something.  

Answer:

C :)

Step-by-step explanation:

before you go, don't forget to smile:)

Answer:

28/50, or 56 percent.

Step-by-step explanation:

Divide the number of events (in this case it's tails) by the number of possible outcomes. This means to divide 28 by 50. Your answer will be 0.56. As a percent, this is 56 percent, which is the probability of the coin landing on tails.

Answer:

D  5sqrt(3)

Step-by-step explanation:

We can use the Pythagorean theorem to solve since the altitude is perpendicular to the base

a^2+b^2 = c^2

5^2 + a^2 = 10^2

25+a^2 = 100

a^2 =100-25

a^2 = 75

Taking the square root of each side

a = sqrt(75)

a = sqrt(25)sqrt(3)

a = 5sqrt(3)

Answer:

Step-by-step explanation:

D

Answer:

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

[tex]\theta = \frac{360\°}{16}=22.5\°[/tex]

Where all sectors have equal area.

Now, the area of the whole circle is [tex]12.25 \pi \ cm^{2}[/tex], if we use the formula of its area, we'll find the radius of the circle

[tex]A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5[/tex]

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

[tex]cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43[/tex]

Therefore, the height is 3.43 centimeters, approximately.

Answer:

Now we need to find B' and C' by multiplying 0.125 with the x-coordinate and y-coordinate.

-----

x-coordinate of B is -2, y-coordinate of B is 8

x-coordinate of B'

y-coordinate of B'

So

-----

x-coordinate of C is 6 and y-coordinate of C is 4

x-coordinate of C'

y-coordinate of C'

So

Conclusion:

The below are the TRUE statements:

(i) The coordinates of C' are (0.75, 0.5)

(ii) The scale factor is 1/8

(iii) The coordinates of B' are (–0.25, 1).

Read more on Brainly.com - https://brainly.com/question/10679054#readmore

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i got it correct

Answer:

5 (x-y)=15

2x-2y=6 and

y-x=-3

Step-by-step explanation:

first x-y=3, so you substitute x by y or y by X. anyway I substituted x by y. so x=y+3.

a. 5(x-y)

5[(y+3)-y] (first you substitute x by y+3.)

5 [y+3-y] ( then you remove the bracket.)

5[y-y+3] ( you collect like terms in the bracket.)

5 [3] (-y+y=0) so it means 5×3=15.

b. 2x-2y (like before you substitute x by y+3.)

2 (y+3)-2y

2y+6-2y (then you remove the bracket.)

2y-2y+6 (you collect like terms)

0+6=6. (because 2y-2y=0)

c. y-x

y-(y+3) ( you substitute x by y+3.)

y-y-3 (you remove the bracket)

0-3=-3 (because y-y=0)

Answer:

Yes, she can.

Step-by-step explanation:

12 < 5+8

Answer:

Step-by-step explanation:

No, she can't

Julie can't win because she has to read more than Emad so she has to read 13 books but she reads 8 books so she can't win

I hope it'll help you much

Thank you for asking

Work Shown:

B = p*(1+r)^t

B = 4530*(1+0.11)^5

B = 7,633.313442603 approximately

B = 7633.31                  round to the nearest cent

Answer:

There are infinitely many solutions

Step-by-step explanation:

Firstly, I need to change f to x as the system won’t accept the word f

Let’s take a look at the question;

3 is less than x

The domain of our answer lies in the the range of values where we have numbers that are greater than 3

This means we can rewrite our inequality as x is greater than 3

Now, simply because we have an infinite amount of numbers which are greater than 3 of which x can take any of the values, we can conclude that the number of values we have for x are infinite and does not end

This makes us have infinitely many solutions for the value of x

Answer:

5/6

Step-by-step explanation: