The original cost of a sofa was $600. If it was discounted 40% and sales tax is 8%, what is the final cost of the sofa

Answer:

4 is the unit rate

Step-by-step explanation:

Answer:

22 for x 45 for 4x+3 36 for 3x+2

Step-by-step explanation:

Trust me this is easy

Answer:

4x+2 =90°

3x+2=68°

x=22

Step-by-step explanation:

The interior angles of a triangle always add up to 180° so you will add the angles together and set them equal to 180° to solve for x. You will find that x should be equal to 22. Plug 22 into each equation to find the angle measure.

Without any more information, the first term can be any number.

Let a be the first term in the geometric progression, and let r be the common ratio between consecutive terms. Then

a + ar + ar ² + ar ³ + ar ⁴ + ar ⁵ = 9 (a + ar + ar ²)

ar ³ + ar ⁴ + ar ⁵ = 8 (a + ar + ar ²)

r ³ + r ⁴ + r ⁵ = 8 (1 + r + r ²)

r ³ (1 + r + r ²) = 8 (1 + r + r ²)

r ³ = 8

r = 2

Now with this ratio, the sum of the first six terms is

a (1 + r + r ² + r ³ + r ⁴ + r ⁵) = a (1 - r ⁶)/(1 - r) = 63a

while the sum of the first three terms is

a (1 + r + r ²) = a (1 - r ³)/(1 - r) = 7a

and of course 63a = 9 • 7a, and this is true for any a.

Answer: 4+4=8

Hope this helps :)

Step-by-step explanation:

Say you have four apples, and your friend gives you four more. You put together the amount of apples you have and you get 8.

Answer:

35 and 32

Step-by-step explanation:

35 and 32

because when we add 35 and 32 then their sum is 67

when we subtract 35 and 32 then their difference is 3

I hope u understand it

Answer:

Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories  

Step-by-step explanation:  

Null Hypothesis [H0] : u < 250  

Alternate Hypothesis [H1] : u > 250 {One Tail}  

t = (x' - u) / [ sd / √n ]  

= (255 - 250) / (5.6 / √20)  

5 / (5.6 /√20)  

= 3.99  

As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.  

x=66

Step-by-step explanation:

4x = 200 + 64 > 4x = 264 > x= 66

Answer:

x=66

Step-by-step explanation:

Steps

4x=64+200

4x=264

x=66

Answer:foooo

Step-by-step explanation:

Answer:

the amount of calories depends on the minutes of exercise so c is the dependent variable and m is the independent variable

Final Answer: [tex]b = -3[/tex]

Steps/Reasons/Explanation:

Question: Solve for [tex]b[/tex]. [tex]-9 b = 27[/tex]. [tex]b[/tex] = ?

Step 1: Divide both sides by [tex]-9[/tex].

[tex]b = -\frac{27}{9}[/tex]

Step 2: Simplify [tex]\frac{27}{9}[/tex] to [tex]3[/tex].

[tex]b = -3[/tex]

~I hope I helped you :)~

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-9b =27  Equation/Question

Step 2

-9b =27  Simplify

-9b =27

Step 3

-9b =27  Divide both sides

answer

b=-3

Answer:

D

Step-by-step explanation:

because b - 30 = s your buying something and subtacting from the money you had before

Answer:

43

Step-by-step explanation:

your welcome. hope this helps u, if not im sorry

it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line

Answer:

This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.

Answer:

Step-by-step explanation:

5000 nonfiction and 2500 fiction

ratio is 5000/2500=2

ratio is 2:1

Answer:

2(x - 1) - 1 = 3(x + 1) - 6 - x

There are infinitely many solutions.

Step-by-step explanation:

Equations

Suppose Nicky was trying to solve the equation

2(x - 1) - 1 = 3(x + 1) - 6 - x

Operating:

2x - 2 - 1 = 3x + 3 - 6 - x

2x - 3 = 2x - 3

Subtracting 2x:

-3 = -3

This equation is true regardless of the value of x, thus x can have any value. There are infinitely many solutions.

The same result could have come with these equations:

4x - 3 = -3 + 4x

4(x - 1) + 1 = 4(x + 1) - 7

Answer:

[tex]\frac{10}{9}[/tex]

Step-by-step explanation:

Answer: 10/9 or 1.111111111

Step-by-step explanation:

Step-by-step explanation:

x² + 16x + 64 = (x + 8)². Hence p = 8.

Since (x + 8) is a factor of 4x² + 37x + k,

4(-8)² + 37(-8) + k = 0. (by Factor Theorem)

=> 256 - 296 + k = 0

=> k - 40 = 0

=> k = 40.

The value of k is 40.

Answer:

[tex]\frac{2808}{3125}[/tex]

Step-by-step explanation:

Answer:

y=5x-40

Step-by-step explanation:

It says 5 feet per second, so you know that is the rate/speed. The rate is always going to be x. The building starts in the basement which is  -40 because the basement is under ground level, so it would be less then 0 (ground level) and y is the final height you are at.

Answer: about 500

Step-by-step explanation:

Answer:

Step-by-step explanation:

800 meters

2 1/2 as an improper fraction is 5/2

First, split the mixed fraction into the sum of a whole number and a fraction:

2 1/2 =>2+ 1/2

Then, rewrite the whole number as an equivalent fraction:  2 => 4/2

Lastly, add together the two fractions to get the answer:

4/2 + 1/2 = 5/2

Answer:

it's a or c

Step-by-step explanation:

Final Answer: [tex]g = 32[/tex]

Steps/Reasons/Explanation:

Question: Solve for [tex]g[/tex]. [tex]g + (-5) = 27[/tex]. [tex]g[/tex] = ?

Step 1: Remove parentheses.

[tex]g + -5 = 27[/tex]

Step 2: Simplify [tex]g + -5[/tex] to [tex]g - 5[/tex].

[tex]g - 5 = 27[/tex]

Step 3: Add [tex]5[/tex] to both sides.

[tex]g = 27 + 5[/tex]

Step 4: Simplify [tex]27 + 5[/tex] to [tex]32[/tex].

[tex]g = 32[/tex]

~I hope I helped you :)~

Answer:

4x – 5

4 (x – 5)

4 ( x + 5)

5 less than the sum of 4 and a number

5 less than the product of 4 and a number

the product of 4 and the difference of a number and 5

4 more than the sum of a number and 5

5 more than the product of 4 and a number

the product of 4 and the sum of a number and 5

4 more than 5 less than a number

Answer:

Option D: 2926.1 cm³

Step-by-step explanation:

Dimensions of the cylidrincal soup can are given as;

Radius; r = 8.4 cm

height; h = 13.2 cm

Formula for area of cylinder is;

A = πr²h

Plugging in the relevant values gives;

A = π × 8.4² × 13.2

A = 2926.05 cm³

Approximating to the nearest tenth gives;

A = 2926.1 cm³

Answer:

120° and 60°

Step-by-step explanation:

The sum of the exterior angle of a polygon is 360°, then

exterior angle = 360° ÷ 3 = 120°

The exterior and interior angle sum to 180°, then

interior angle = 180° - 120° = 60°

Answer:

36/16

Step-by-step explanation:

Answer:

Square

Area = 49

Perimeter =28

Step-by-step explanation:

How to get the area:

Square A= Side x side

Side=7

7x7=49

How to get perimeter:

Add the lengths of the square which is 7

7x4=28

Answer:

Step 4, x = 3

Step-by-step explanation:

Step 4 was wrong, instead of 6x = 6, it should be 6x = 18. They shoudl've added 6 to both sides instead of subtracting 6 as ur trying to cancel out the 6 on the left side of the equation. So:

6x = 18

x = 3

Answer:

y = 1.75

x = 1.25

Step-by-step explanation:

Since the triangles have equal angles, you can use ratios to solve for x and y.

For y:

[tex]\frac{8}{10} =\frac{7}{a} \\8a=70\\a=8.75[/tex]

Subtract 7 from a to find y.

y = 8.75 - 7

y = 1.75

For x:

[tex]\frac{8}{10} =\frac{5}{b} \\8b=50\\b=6.25[/tex]

Subtract 5 from b to find x.

x = 6.25 - 5

x = 1.25