A store purchased a chair for $10.00 and sold it to a customer for 50% more than the purchase price. The customer was charged 7% tax when the chair was sold. What was the customer's total cost for the chair? I​

Answer:

x < -3/5y+ 30

Step-by-step explanation:

x < -3/5y+ 30 for the first one

addboth sides by 6y then divideboth sides by 10

Answer:

Part A)

The polynomial is:

[tex]A=4(x+8)(x+10)[/tex]

Or, expanded:

[tex]A=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.

Step-by-step explanation:

Part A)

For solely the picture, the width is 16 inches, and the length is 20 inches.

If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.

Likewise, the new length will be (20 + 2x) inches.

The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:

[tex]A=(16+2x)(20+2x)[/tex]

To simplify calculations, we can factor out a two from both factors. Thus:

[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]

Expanded, this will be:

[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]

Part B)

When the width of the frame is two, x = 2. Then the area is:

[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]

The area of the picture including the frame will be 480 square inches.

Answer:

55

Explanation:

Answer:

Step-by-step explanation:

Answer:

=> 1/4  * [tex]\pi r^{2}[/tex]

=> 1/4 * 3.14 * 4

=> 3.14

Answer = 3.14

Answer:

1160

Step-by-step explanation:

1000×4/100% ×4=160

add the1000+160 since they have asked altogether=1160/=

Convert Ø to radians

Arc length

Answer:

sqdfnm swfqwef

Step-by-step explanation:

wqfjqwebnkjf qwebf

Answer:

-1/5. When you do y^2 - y^1/ x^2 - x^1 = It will lead to -1/5

Step-by-step explanation:

Answer:

57.6°

Step-by-step explanation:

It is always helpful to draw a picture.  Also, you need to memorize all the definitions of the trig functions.  For example,

sine of an angle = opposite side/hypotenuse

In your case, SQ is opposite side to angle R and QR is the hypotenuse

Therefore, sin R = 6.5/7.7

          m∠R =  arcsin (6.5/7.7) = 57.6°

Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13

Answer:

7) 55 .    8) 30        9) 18

Step-by-step explanation:

Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

This is a kite.

The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.

m∠2=90°

Hope I helped.

Answer:

68 inches squared

Step-by-step explanation:

First, let's find the area of the squares at the top and bottom. Area for a square is:

L * W = A

Plug in the values...

3 * 3 = 9

Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:

7 (total width) - 3 (middle width) / 2 (because there are two sides)

So it is:

(7 - 3)/2

4/2 = 2

So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:

(B * H)/2 = A

Fill it in...

(2 * 5)/2

10/2 = 5 inches

So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:

5 * 4 = 20 inches

That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...

L * W = A

10 * 3 = 30

So, that means that the area of the hexagon is:

30 + 20 = 50

Plus, the two squares from the beginning:

50 + 18 = 68 inches squared

Therefore, the area of the figure is 68 inches. Hope this helps you!

Answer:

Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock

Step-by-step explanation:

Given

The level of mouse from the ground is [tex]3[/tex] foot as it is on the top of a  [tex]3[/tex] foot  tall rock.

The level of bird at which it is flying from the ground is [tex]110[/tex] feet

Change in elevation when the bird swoops down to grab the  mouse

[tex]= 110 -3\\= 107[/tex]feet

Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock

Answer:

A. 4

Step-by-step explanation:

the answer is 4

i agree with the person above

Answer:

xy-2x+3y-6

(xy-2x) (3y-6)

x(y-2) 3(y-2)

(x+3) (y-2)

hope this answer helps you.....

Answer:

I am not sure

Step-by-step explanation:

But I think I know

Answer:

Step-by-step explanation:

n=0

w=3120

i=[tex]\sqrt 2[/tex]

q=[tex]\frac{-6}{7}[/tex]

r=5.123456...

Answer:

40% of 140 because 56+38+46= 140

Answer:

1. x = 12

2. x= 9

3.x = 14

4.x=18

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

You see the theoretical answer would be 4 but have you ever considered it to be a watermelon????

Step-by-step explanation:

With the 2 numbers added up its 2 fingers plus 2 fingers. Which is 4. BUT

Its 4 not a watermelon

Answer:

Your Answer is going to be C

Answer:

12% decrease

Step-by-step explanation:

So you have to do V2 aka 132-150 to get -18/150. Then, you multiply it by 100 to get 0.12. they you multiply 0.12 by 100 and you get -12% change, or 12% decrease.

Answer:

-250, 1250

Step-by-step explanation:

The pattern is to multiply by -5.

2,-10, 50, -250, 1250

Answer:

13

Step-by-step explanation:

The mean of the data is also known as the average. To find the mean/average, add up all the data and divide it by the number of inputs recorded.

9 + 16 + 13 + 14 + 10 + 16 + 17 + 9 = 104

There are 8 terms.

104 / 8 = 13

The mean is 13.

Hope this helps!

Answer:

option 1) tan (46) = 17/x

Step-by-step explanation: