Lamont Gatling purchased a phone answering system for his home office. The list price was $99.86. He also purchased a 12-foot handset cord for $8.95 and 50 feet telephone wire for 45¢ per foot. He received a $5.00 rebate on the phone system and had a store coupon for $1.00 off each accessory. If he paid a 6 percent sales tax on the final price, how much did he pay?

Answer:

4.2 units

Step-by-step explanation:

Assuming 1 grid box = 1 units, the coordinates of the two points are (-1, -1) and (2, 2).

Apply distance formula [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to find the distance between (-1, -1) and (2, 2).

Let,

[tex] (-1, -1) = (x_1, y_1) [/tex]

[tex] (2, 2) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(2 - (-1))^2 + (2 - (-1))^2} [/tex]

[tex] d = \sqrt{(3)^2 + (3)^2} [/tex]

[tex] d = \sqrt{9 + 9} [/tex]

[tex] d = \sqrt{18} [/tex]

[tex] d = 4.2 [/tex] (to the nearest tenth)

Answer:

n=-3.1

Step-by-step explanation:

To solve this, first subtract 3 from both sides of the equation to get 2n=-6.2. Next, divide both sides of the equation by 2 n order to get the final answer of n=-3.1

Answer:

24

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

let x = number of 3 wheel stollers

let y = number of 4 wheel strollers

x + y = 28

y = 28 - x

3x + 4y = 100

3x + 4(28 - x) = 100

3x + 112 - 4x = 100

-x = -12

x = 12

And there you go, your answer is 12.

Answer:

B

Step-by-step explanation:

12

Answer:

Option D, (B and  D) is correct

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given

height of cylinder h = 4 inches

Given the table

Radius          Volume

1                     ___

2                    ___

3                    ___

Determining the Volume of the cylinder when r = 1 inch and h = 4 inches

Given

h = 4 inches

r = 1 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(1)²×(4)

V = 3.14 × 1 × 4

V = 12.56

V ≈ 13  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 1 inch will be:

V ≈ 13 cubic inches (nearest cubic inch)

Determining the Volume of the cylinder when r = 2 inches and h = 4 inches

Given

h = 4 inches

r = 2 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(2)²×(4)

V = 3.14 × 4 × 4

V = 50.24

V ≈ 50  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 2 inches will be:

V ≈ 50 cubic inches (nearest cubic inch)

Determining the Volume of the cylinder when r = 3 inches and h = 4 inches

Given

h = 4 inches

r = 3 inch

Using the formula to determine the volume of the cylinder

V = πr²h

V = 3.14×(3)²×(4)

V = 3.14 × 9 × 4

V = 113.04

V ≈ 113  (nearst cubic inch)

Therefore, the volume of cylinder when h = 4 inches and r = 3 inches will be:

V ≈ 113 cubic inches (nearest cubic inch)

Therefore, we complete the table conclude such as:

Radius          Volume

1                     13

2                    50

3                    113

Answer:

48

Step-by-step explanation:

[tex] {x}^{4} + 0.5 {y}^{3} \\ [/tex]

[tex] {2}^{4} + 0.5 \times {4}^{3} [/tex]

[tex]16 + 0.5 \times 64[/tex]

[tex]16 + 32[/tex]

[tex]48[/tex]

Answer:

1/5

Step-by-step explanation:

In order to find the answer, we need to isolate the "n."

Get 5 to the other side by dividing both sides by 5

(n-1/10)= 1/2 ÷(5)

Multiply the 2 and the 5 of the equation.

(n-1/10)= 1/10

Next, move the fraction on the left side, to the right.

n= 2/10

Reduce.

n= 1/5

Answer:

270 cm²

Step-by-step explanation:

The question is not complete, but a similar question is attached.

Solution:

A prism is a three dimensional polygon with two identical and opposite faces. These bases are called the base of the polygon.

A triangular prism is a prism in which its bases are triangular in shape and it also has three rectangular sides.

The total surface area (TSA) of a triangular prism is given by:

TSA = area of triangle 1 + area of triangle 2 + area of rectangle 1 + area of rectangle 2 + area of rectangle 3

Area of triangle 1 = (1/2) * base * height = 1/2 * 6 * 5 = 15 cm²

Area of triangle 2 = (1/2) * base * height = 1/2 * 6 * 5 = 15 cm²

Area of rectangle 1 = length * breadth =15 * 6 = 90 cm²

Area of rectangle 2 = length * breadth =15 * 5 = 75 cm²

Area of rectangle 3 = length * breadth =15 * 5 = 75 cm²

TSA = 15 cm² + 15 cm² + 90 cm² + 75 cm² + 75 cm² = 270 cm²

Answer:

54 miles

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

alanton is 16 miles from oakley,  8 miles from crawfod and 28 miles from fayeville

Make sure to draw the distances on the figure correctly.

We have similar triangles

AC       CD

------ = ---------

BC       CE

8          x

------ = ---------

16       28

Using cross products

8 * 28 = 16*x

224 = 16x

Divide each side 16

224/16 = 16x/16

14

The distance is 14

We have right triangles so we can find length y

y^2 + 16^2 = 28^2

y^2 = 28^2 - 16^2

y ^2 =528

y = sqrt(528)

We can find the length of AC

AC^2 +

We have right triangles so we can find length y

y^2 + 16^2 = 28^2

y^2 = 28^2 - 16^2

y ^2 =528

y = sqrt(528)

Answer:

B) SAS

Step-by-step explanation:

there are 2 sides equal and one angle

Answer:

9.7, 72, 99

Step-by-step explanation:

Answer:

9.7,72,99

Step-by-step explanation:hope this helps!!:D

Answer:

I think it's A but I'm not sure sorry if it is not correct

Answer:

the answer is a

Step-by-step explanation:

10.84×3= 32.52

368×3=1104 then subtract 32.52= 1071.48

421×3= 1263 then subtract 32.52= 1230.48

so a is most logical answer

Answer:

18x^4

Step-by-step explanation:

Answer:

8 cm

Step-by-step explanation:

its simple 1/2 b x h

Answer:

andre has more money

Step-by-step explanation:

Answer:

You need to write an equation for each.

For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.

100 + 5w

For Elena, she has 10 dollars, and gets 20 each week.

10 + 20w

Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.

Andrew:

100 + 5(4) =120

Elena

10 + 20(4) ==90

Andrew has more money in this time.

To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.

Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.

90+5w=20w

90=15w

90÷15=6

6=w

The answer will simplify down to 6 weeks.

Answer:

223

Step-by-step explanation:

2=(117+334)-5

2=451-5

2=446

÷2 ÷2

=223

Using linear function concepts, it is found that:

A linear function is modeled by:

y = mx + b

In which:

Given two points, the slope is given by change in y divided by change in x, hence:

Due to the higher absolute value of the slope, the function in the table has a steeper slope.

More can be learned about linear function concepts at https://brainly.com/question/24808124

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Answer:

Compare the two linear functions.

A 2-column table with 5 rows. Column 1 is labeled x with entries negative 3, negative 1, 2, 5, 10. Column 2 is labeled y with entries 8.5, 5.5, 1, negative 3.5, negative 11. On a coordinate plane, a line goes through points (negative 3, 0) and (2, 0).

Identify the slope of the line given in the table:

✔ -3/2

Identify the slope of the line given in the graph:

✔ 2/3

Which linear function has a negative slope?

✔ Table

Which linear function has the steeper slope?

✔ Table

Step-by-step explanation:

Step-by-step explanation:

Is there a question I can a answer it?

Answer:

(2,-10)

x=2

y= -10

Step-by-step explanation:

To solve by combining the equations we first need to get everything in linear form.

For both equations we can simply just add y to both sides and then subtract the other number on the right side. Doing this gets us

-2x-6=y

-7x+4=y

We then set the two equations equal to each other and solve for y

-2x-6= -7x+4

add 7x and 6 to both sides and get

5x=10

x=2

Use this x value and plug it into any equation

let's do it on the first

-2(2)-y=6

Solve for y and get

-y=10

which means  that

y= -10

Answer:

427

Step-by-step explanation:

Answer:

Angle: A figure formed by two rays or line ... Time Period 3: Geometric Relationships & Properties, 15 blocks ... dilation of the polygon with that point as the center. Identify the scale factor that you used. G-SRT 2. Given two figures, use the ... the circle centered at the origin and ... Write an equation for a circle with a radius of 2.

Step-by-step explanation:

The equation of the line of dilation centered at the origin with a scale factor of k=3 is,

⇒ y' = (6/5)x + 3.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Now, To find the equation of the line of dilation centered at the origin with a scale factor of k=3,

we need to apply the dilation transformation to the given equation.

First, we need to rewrite the equation in slope-intercept form:

-2x + 5y = 15

5y = 2x +15

y = (2/5)x + 3

Now, we can apply the dilation transformation by multiplying the slope by the scale factor k = 3;

y' = k y

y' = 3 (2/5)x + 3

y' = (6/5)x + 3

Therefore, the equation of the line of dilation centered at the origin with a scale factor of k=3 is,

y' = (6/5)x + 3.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Answer:

44º

Step-by-step explanation:

We are given that a triangle QRS

QR=20 units

RS=24 units

QS=34 units

We have to find the measure of angle Q.

We know that cosine law

[tex]a^2=b^2+c^2-2bc cos A[/tex]

Using the formula

[tex](24)^2=(20)^2+(34)^2-2\times 20\times 34 cos Q[/tex]

[tex]576=1556-1360 cosQ[/tex]

[tex]1360osQ=1556-576[/tex]

[tex]1360 cos Q=980[/tex]

[tex]cos Q=\frac{980}{1360}[/tex]

[tex]cos Q=0.72[/tex]

[tex]Q=cos^{-1}(0.72)[/tex]

[tex]Q=44^{\circ}(approx)[/tex]

Answer:

Short and sweet... 44º

Step-by-step explanation:

:)

Answer:

1 : 3

2 : 6

4 : 12

9 : 27

Step-by-step explanation:

2nd one do 2 × 3

3rd one 12 ÷ 3

4th one 9 × 3

Answer:

-6

Step-by-step explanation:

-6