The sales tax rate in New Mexico is 5.125%. What will you pay for a $14.50 area rug in New Mexico after tax?

Answer:

The slope is -3

Step-by-step explanation:

Answer:

slope is -3

Step-by-step explanation:

Answer/Step-by-step explanation:

[tex] \overline{AB} \parallel \overline{CD} \parallel \overline{EF} [/tex] ----› Given

[tex] \angle 1 + \angle 2 = 180 [/tex] ----› consecutive interior angles are supplementary

[tex] \angle 3 + \angle 4 = 180 [/tex] ----› consecutive interior angles are supplementary

Therefore:

[tex] \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 [/tex]

Answer:

[tex]Area = 129.5m^2[/tex]

[tex]Perimeter = 48m[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the [tex]area\ of\ the\ rectangle[/tex]

[tex]A_1 = L * B[/tex]

Where:

[tex]L = 20-(3.5 +3.5)[/tex]

[tex]B = 7[/tex]

So:

[tex]A_1 = (20 - (3.5 + 3.5)) * 7[/tex]

[tex]A_1 = (20 - 7) * 7[/tex]

[tex]A_1 = 13 * 7[/tex]

[tex]A_1 = 91[/tex]

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

[tex]A_2 = \pi r^2[/tex]

Where

[tex]r = \frac{7}{2}[/tex]

[tex]A_2 = \frac{22}{7} * (\frac{7}{2})^2[/tex]

[tex]A_2 = \frac{22}{7} * \frac{49}{4}[/tex]

[tex]A_2 = \frac{22}{1} * \frac{7}{4}[/tex]

[tex]A_2 = \frac{22*7}{4}[/tex]

[tex]A_2 = \frac{154}{4}[/tex]

[tex]A_2 = 38.5[/tex]

Area of the garden is

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

[tex]Area = 91 + 38.5[/tex]

[tex]Area = 129.5m^2[/tex]

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

[tex]P_1 = 2 * L[/tex]

Where:

[tex]L = 20-(3.5 +3.5)[/tex]

So:

[tex]P_1 =2 * (20-(3.5 +3.5))[/tex]

[tex]P_1 =2 * (20-7)[/tex]

[tex]P_1 =2 * 13[/tex]

[tex]P_1 =26[/tex]

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

[tex]P_2 = 2\pi r[/tex]

Where

[tex]r = \frac{7}{2}[/tex]

[tex]P_2 = 2 * \frac{22}{7} * \frac{7}{2}[/tex]

[tex]P_2 = \frac{2 * 22 * 7}{7 * 2}[/tex]

[tex]P_2 = \frac{308}{14}[/tex]

[tex]P_2 = 22[/tex]

Perimeter of the garden is

[tex]Perimeter = P_1 + P_2[/tex]

[tex]Perimeter = 26 + 22[/tex]

[tex]Perimeter = 48m[/tex]

Answer:

3.643 X 10 -1

Step-by-step explanation:

Answer:

3.643 × 10 ^− 1

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.643 × 10 ^− 1

Answer: 3

Step-by-step explanation:

3x + 7 = y

3x + 7 = 16

*subtract 7 from both sides because inverse operations*

3x = 9

*divide both sides by 3 because inverse operations*

x = 3

Answer:

y=1/4x+9

Step-by-step explanation:

x-4y=-36

add 4y to both sides to find x

x=4y−36

To find y=

add -x to both sides

−4y=−x−36

divide both sides by -4

y=mx+b

y=1/4x+9

Answer:

To catch your friend you have to paddle for 1.25 hours

Step-by-step explanation:

Your friend is 0.5 mile in front of you and paddling 3 miles per hour. You are paddling 3.4 miles per hour.

Since the speed is the relationship between the space traveled by an object and the time used for it, then the distance is defined as:

distance= speed*time

Being x the time it takes to reach your friend, then your friend's position will be:

while your position is:

When you reach your friend the position of both should be the same. So:

3*x + 0.5= 3.4*x

Solving:

0.5= 3.4*x - 3*x

0.5= 0.4*x

0.5 ÷0.4= x

1.25= x

This means that to catch your friend you have to paddle for 1.25 hours

A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)

Answer:

radius r = 9.8 m

base circumference C = 61.575216 m

volume V = 1971.22792 m3

curved surface area A = 603.437117 m2

base surface area B = 301.718558 m2

total surface area K = 905.155675 m2

Answer:

Velocity = 0

Speed = 0.84

Step-by-step explanation:

Khan Academy

Luis's average velocity over the 95 sec period is 0 m/s.

Given that, Luis walks 40 m toward his truck. He notices he forgot his keys, so he returns back to his house.

Magnitude of average velocity is always less than or equal to the average speed because displacement is always smaller than or equal to distance.

Average Velocity = Total time / Total Displacement

​It is a vector quantity and has units of m/s.

Here, total time = 95 sec and displacement = 0 meter

Now, average velocity = 95/0

= 0 m/s

Therefore, Luis's average velocity over the 95 sec period is 0 m/s.

To learn more about the average velocity visit:

https://brainly.com/question/862972.

#SPJ5

Answer:

option c

Step-by-step explanation:

The zeros of 3x+1

3x=-1

x=-⅓

plug in -⅓ into the trinomial. if it gives an answer of 0 then it's a factor

3(-⅓)²+16(-⅓)+5

=0

Answer:

Step-by-step explanation:

∵ ABCD is a rhombus

∴ AC is ⊥ on BD

∴ ΔAEB is right angled triangle

Answer:

Hundreths 3 is in the hundreths

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

-13 +(-2) = -15

-15+(-2) = -17

-17+(-2 )=- 19

-19+ (-2)= -21

Answer:A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.

Step-by-step explanation:

Answer:

A square has all its angles equal to 90 degrees a rhombus has no 90 degree angles

Answer:

The answer is D) (X,Y) ---(-y-x)

Answer:

37/45

Step-by-step explanation:

YEPPP THAT'S ITT DJJSJZJZK

Answer: The answer is 44/50 and the percentage is 88

Step-by-step explanation: Hope my answer helped you! Plz, mark my answer and Thank you!

Answer:

b = 1

Step-by-step explanation:

8 = b - 1 + 8b

combine like terms

8 = 9b - 1

add 1 to both sides of the equation

8 + 1 = 9b - 1 + 1

8 + 1 = 9b

9 = 9b

divide both sides of the equation by 9

9/9 = 9b/9

1 = b

Answer:

b = 1

Step-by-step explanation:

Given

8 = b - 1 + 8b, that is

8 = 9b - 1 ( add 1 to both sides )

9 = 9b ( divide both sides by 9 )

1 = b

Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

Answer:

B is your answer

Step-by-step explanation:

Answer:

Y = 40

Step-by-step explanation:

44 - 66y + 65y + 5 = 9

49 - y = 9

-y = -40

y = 40

Answer:

y = 40

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

11(4 - 6y) + 5(13y + 1) = 9

Step 2: Solve for y

Step 3: Check

Plug in y into the original equation to verify it's a solution.

Here we see that 9 does indeed equal 9.

∴ y = 40 is the solution to the equation.

Answer:

5

Step-by-step explanation:

The median is the middle number when they are put in order from smallest to largest

1,2,4,5,5,8,8

There are 7 number so the middle is between 4th  number

1,2,4     ,5    ,5,8,8

The median is 5

[tex]\sf Answer: [/tex]

[tex]\sf 5 [/tex]

[tex]\sf Step-by-step~explanation: [/tex]

[tex]\sf List~the~numbers~in~order,~from~least~to~greatest. [/tex]

[tex]\sf 1   2   4   5   5   8   8   [/tex]

[tex][The~middle~number~is~5,~so~the~answer~is~going~to~be~5.[/tex]  [tex]This~is~because~a~median~is~the~number~in~the~middle.[/tex]      [tex]''~The~median~is~the~middle~number~in~a~sorted,~ascending~or~descending,~[/tex]    [tex]list~of~numbers~and~can~be~more~descriptive~of~that~data~set~than~the~average~'' ][/tex]

Answer: $1.35 is the answer

Answer:

5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$

Answer:

20

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

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