the wholesale price of a couch is $235. A store marks up the price by 169%. When the couch does not sell, the store offers a 20% discount. what was the retail price of the couch? what is the sale price of the couch?

Answer:

a15 = -5

Step-by-step explanation:

Let n=15 for the 15th term

a15 = -3*15 +50

a15 = -45+50

a15 = -5

To find the 15th term of the sequence an = -3n + 50, replace n with 15 in the given formula. The calculation becomes -3(15) +50 which simplifies to -45 + 50, finally giving the result 5. Therefore, the 15th term of the sequence is 5.

In mathematics, determining the nth term of a sequence involves applying the sequence formula, and substituting the specific term number, denoted as n, into the formula. For instance, consider the sequence an = -3n + 50. To find the 15th term (a15), one substitutes n = 15 into the formula: a15 = -3(15) + 50. Simplifying, a15 = -45 + 50, resulting in a15 = 5. This process showcases how a specific term in the sequence can be calculated systematically, providing a precise value for the 15th term. The formula an = -3n + 50 encapsulates the underlying pattern, allowing for the determination of any term within the sequence.

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The initial y-value (or y-intercept) of the linear function that includes the points (-5, 0) and (6, -22) is -10.

The student is asking about the initial y-value of a linear function, which is also known as the y-intercept. This is the value of y when the line crosses the y-axis (where x=0). To find this, we first find the slope of the line using the formula: slope = (y2 - y1) / (x2 - x1) = (-22 - 0) / (6 - (-5)) = -22 / 11 = -2. Then we use the point-slope form of a linear equation to find the y-intercept 'b': y - y1 = m*(x - x1), substituting one of the points and the found slope: 0 - (-2)*(-5) = b gives us b = -10. This implies that the initial y-value of the linear function is -10.

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Answer:

C  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

30 - 14 = 16girls

ratio is : 14/16 = 7/8

Answer:

C

Step-by-step explanation:

I took the test

Answer:

D) compressed horizontally

Step-by-step explanation:

he graph of the function f(x) = |x|

 f(x) is changed to f(4x)

When we multiply some number with f(x) outside , then there will be a vertical stretch or compression on the graph

When we multiply some number with x  inside f(x), then there will be a horizontal stretch or compression on the graph

Here 4 is multiplied with x  inside f(x)

If the number is greater than 0 and less than 1 , then its a horizontal stretch

If the number is greater than 1 then it is a horizontal compression

Here 4 is greater than 1, so there will be a horizontal compression by a factor 1/4

Answer:

the correct answer is c i just got it wrong

Step-by-step explanation:

Answer:

1 12/21 or 32/21

Step-by-step explanation:

Okay, it may seem a little complex but you will have to break it down bit by bit. So, if you are dividing a fraction by a decimal I would turn the decimal into a fraction, in this case turn 0.35 into a fraction. You get it? I'm a seventh grader and I get stuck on these too! So, 0.35 as a fraction is 7/20. Next you divide 8/15 by 7/20. Not trying to get you confused but in my math class this is the same thing as multiplying by the reciprocal of the second fraction. So, what is 8/15 divided by 7/20 or 8/15 times 20/7? I will do the multiplying way so lets do the numerators first. 8 times 20 is 160. For the denominators, 15 times 7 is 105. Your final fraction is 160/105. Lastly you have to simplify it. It turns into a mixed number and your final answer is 1 12/21 or simplified is 32/21. Hope this helped! :-)

Final answer:

To find the value of the expression 8/15 divided by 0.35, multiply the first fraction by the reciprocal of the second fraction. Simplify the resulting fraction to get the final answer.

Explanation:

To find the value of the expression 8/15 divided by 0.35, we need to divide 8/15 by 0.35.

We can represent 0.35 as a fraction by dividing it by 1. So, 0.35 is equal to 35/100 or 7/20.

Now, let's divide 8/15 by 7/20.

Therefore, the value of the expression 8/15 divided by 0.35 is 160/105.

Answer:

-4< c

Step-by-step explanation:

2> -2-c

Add 2 to each side

2+2> -2+2-c.

4 > -c

Divide each side by -1.  Remember that dividing by -1 will flip the inequality.

4/-1  < -c/-1

-4< c

Answer:

12 ft

Step-by-step explanation:

Answer:

The answer is C) Jessica has driven exactly 360 miles out of a total of 400 miles

Step-by-step explanation:

Since 90% is equal to 0.9 of 1

And you need to figure out what statement is true

You would take the largest number from each answer choice and multiply it by 0.9

For Example: In answer choice A), it says Jessica has driven exactly 40 miles out of a total of 360 miles.

So you would multiply 360 by 0.9

Which gives you 324

Which is not 40

Therefore it is wrong

Answer:

c

Step-by-step explanation:

Answer:

Diagram attached

AJ = 8.75 in.  

Step-by-step explanation:

Since triangles HBA & HKJ are similar,    

BH/AH = KH/JH  

3 in /5.25 in = 8 in /JH  

JH = 14 in  

JA = JH - AH = JH - 5.25 in = 8.75 in

HJ = 14 in.

AJ = 14 in - 5.25 in  

AJ = 8.75 in.  

Answer:

x> 25.8

Step-by-step explanation:

A number x is greater then 25.8 write the word sentence as an inequality

x> 25.8

To represent the statement 'a number x is greater than 25.8' as an inequality, we write it as 'x > 25.8'.

The number = x

The number greater than = 25.8

If a number x is greater than 25.8, we can represent this relationship using an inequality symbol.

Based on the meaning of inequality symbols, the correct way to write this statement is:

x > 25.8

This inequality reads as "x is greater than 25.8", thus directly answers the given question by converting the word sentence into a mathematical inequality.

Answer:

The common difference would be -10.

Step-by-step explanation: If it were +10 then it would be: 9, 19, 29, 39

If it had a common ratio of -9 then it would be: 9, -81, 729, -6561

It it had a common ratio of 9, then it would be: 9, 81, 729, 6561

Answer:

A

Step-by-step explanation:

|a| = a for a ≥ 0

|a| = -a for a < 0

|-15| = -(-15) = 15

|15| = 15

Look at the picture.

We must use the Pythagorean theorem:

[tex]AB^2+OB^2=AO^2\\\\5^2+r^2=8.6^2\\\\25+r^2=73.96\qquad\text{subtract 25 from both sides]\\\\r^2=48.96\to r=\sqrt{48.96}\\\\\boxed{r\approx7}[/tex]

Answer: Oysters, Shrimp and Fish

Answer:

inches= 342''

feet= 28.5'

yards= 9.5 yds

Step-by-step explanation:

inches= 90 +54 + 198= 342''

feet=342*(1/12)= 28.5'

yards= 9.5 yds

Convertion Rates

1'=12''

1yd = 3'

Step-by-step explanation:

inches= 342''

feet= 28.5'

yards= 9.5 yds

Answer:

21.6 is 54% of 40.

Step-by-step explanation:

21.6 ÷ 40 = 0.54 = 54%

Method 1:

[tex]21\dfrac{3}{5}=\dfrac{21\cdot5+3}{5}=\dfrac{108}{5}\\\\\\\\\begin{array}{ccc}40&-&100\%\\\dfrac{108}{5}&-&p\%\end{array}\qquad\text{cross multiply}\\\\\\\\40p=\dfrac{108}{5}\cdot100\\\\40p=108\cdot20\\\\40p=2160\qquad\text{divide both sides by 40}\\\\\boxed{p=54}[/tex]

Method 2:

[tex]\dfrac{\frac{108}{5}}{40}\cdot100\%=\dfrac{108}{5}\cdot\dfrac{1}{4}\cdot10\%=\dfrac{108}{2}\%=54\%[/tex]

Answer:

x = 2

y = 6

Step-by-step explanation:

y= 6x - 6

-3x- 3y= -24

to find the value of x:

- 3x - 3 (6x - 6)= -24

- 3x - 18x + 18= -24

-21x + 18 = -24

-21x= -42

x = 2

Now, to find the value of y:

(substitute x into the equation)

y = 6 x - 6

y = 6 (2) - 6

y = 12 - 6

y = 6

Answer:

y is the vertical axis. x is the horizontal axis. Replace any value in x to get your y value. The value you input as x is your x value. God this sounds confusing. I'd graph it for you but i don't know how to do that on Brainly.

Step-by-step explanation:

Step-by-step explanation:

For each value of x you will have a y value

Step 1: Make a Chart with values

X |       1             2       3    

Y |

Step 2: Substitute the x values in the y function

y= 2(1) - 1

y=2-1

y=1

Step 3: Fill the Chart with the obtained values

X |       1             2       3    

Y |      1

Step 4: Plot the points as coordinates (x, y) i.e (1,1)

Step 5: Connect the points

Step 6: Be happy, you just learn how to plot. You can follow this proccedure for any kind of function.

Answer:

i think it is 120

Step-by-step explanation:

4 multiplied by 30 is 120

Noelle bought gifts for her nine nephews and the total cost of these gifts is given. By setting up equations and solving them, we find that she purchased 6 videos and 3 CDs.

Step by Step Solution:

Noelle bought gifts for her nine nephews, which can be either videos costing $14.95 each or CDs costing $16.88 each, and spent a total of $140.34. We need to determine the number of videos and CDs she bought.

Let's denote the number of videos Noelle bought by V and the number of CDs by C. We can set up the following equations based on the given information:

V + C = 9 (as she bought gifts for nine nephews)

14.95V + 16.88C = 140.34 (total amount spent)

To solve these equations, we can use the substitution or elimination method. Let's use substitution:

From equation (1), we get:

C = 9 - V

Substitute this into equation (2):

14.95V + 16.88(9 - V) = 140.34

Expanding and simplifying:

14.95V + 151.92 - 16.88V = 140.34

-1.93V + 151.92 = 140.34

-1.93V = 140.34 - 151.92

-1.93V = -11.58

V = 6

Substitute V = 6 back into C = 9 - V:

C = 3

Therefore, Noelle bought 6 videos and 3 CDs.

Answer:

#7 is 3,150 tickets

Step-by-step explanation:

You multiply 126 and 25 together to get 3,150, because if each of the 126 students have to sell 25 tickets, that means you have to use multiplication.

Answer:

x=3,y=6

Step-by-step explanation:

4x-y =6

3x+2y = 21

To use elimination we will multiply the first equation by 2

2(4x-y) =6*2

8x -2y =12

We will add this equation to the second equation to eliminate y

8x -2y =12

3x+2y = 21

-----------------

11x = 33

Divide each side by 11

11x/11 = 33/11

x =3

We still need to solve for y

3x+2y = 21

Substituting x=3

3*3+2y = 21

9+2y =21

Subtract 9 from each side

9-9+2y = 21-9

2y = 12

2y/2 = 12/2

y =6

Answer:

The temperature six hours ago was 13 °F

Step-by-step explanation:

Six hours ago the temperature was x degrees.

The temperature now is "6 degrees less than twice the temperature that it was six hours ago."

The temperature now is 2x - 6.

The temperature now is 20 deg.

2x - 6 = 20

2x = 26

x = 13

Answer: The temperature six hours ago was 13 °F.

i think it will be B and then the second will be C

Answer:

Step-by-step explanation:

4)

30 is 60% of 50

5)

Amount Saved (Discount): $

350

Sale / Discounted Price: $

650

Final answer:

Using the Pythagorean theorem, the length of the shadow cast by a 30m tall building, with a diagonal distance of 36m from the top of the building to the top of the shadow, is calculated to be approximately 19.9 meters.

Explanation:

To find the length of the shadow cast by a 30m tall building, we can use the Pythagorean theorem. This theorem relates the lengths of the sides of a right triangle. Here, the building and its shadow form the two legs of a right triangle, and the line from the top of the building to the top of the shadow is the hypotenuse.

Let's denote:

The height of the building (opposite side) as O = 30m

The length of the shadow (adjacent side) as A

The distance from the top of the building to the top of the shadow (hypotenuse) as H = 36m

According to the Pythagorean theorem, we have:

O2 + A2 = H2

Plugging in the known values, we get:

302 + A2 = 362

900 + A2 = 1296

A2 = 1296 - 900

A2 = 396

A = √396

A ≈ 19.9m (rounded to one decimal place)

Therefore, the length of the shadow is approximately 19.9 meters.

Answer:

a=9

b=4

v=69

Step-by-step explanation:

Answer:

Divide 9 by 0.006 you should get 1500

Step-by-step explanation:

Answer:

0.054

Step-by-step explanation:

Velocity = wavelength times frequency

=  9 * 0.006

=  0.054