In Minnesota, the state sales tax rate is 6.875%. The price tag on an HDTV gives
the price as $1560, plus a $100 rebate.. What is the total cost for the TV, including
sales tax and rebate in Minnesota?

Answer:

to find answers we first need the radius , in this case we find it using arc length

arc length = [tex]\frac{115}{360}*2\pi r[/tex]

18.07=[tex]\frac{115}{360}*2\pi r[/tex]

18.07=[tex]\frac{230\pi r}{360}[/tex]

18.07x360=[tex]230\pi r[/tex]

r=[tex]\frac{18.07*360}{230\pi }[/tex]

r=9cm

1) area of minor sector= [tex]\frac{115}{360}*\pi r^{2}[/tex]

                                     =[tex]\frac{115}{360}*\pi* 9^{2}[/tex]

                                     = 81.29[tex]cm^{2}[/tex]

2) perimeter of the circle is the same as its circumference which is [tex]2\pi r[/tex]

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

                       = [tex]2*\pi *9[/tex]

                        =56.55cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Are the following systems equivalent? How do you know?

For the equation;

2x+y= -4 ... 1

7x+7y=0 ... 2

Let us find the solution of the equation;

From 1;

y = 4 - 2x

Susbtitutw into 2;

7x + 7(4-2x) = 0

7x + 28 - 14x = 0

-7x + 28 = 0

7x = 28

x = 28/7

x = 4

Recall that y = 4-2x

y = 4 - 2(4)

y = 4 - 8

y = -4

The solution is (4, -4)

For the other equations;

5x+6y= 4 ... 1 * 1

4x+2y= -4 ..... 2 * 3

___________________

5x+6y= 4

12x+6y= -12

Subtract

5x-12x = 4 + 12

-7x = 16

x = -16/7

Since the solutions to both simultaneous equations are different, hence the systems of equations are not equivalent.

Answer:

44.2

Step-by-step explanation:

Nick was thinking of a number

Let the number be x

= 98.4/2

= 49.2

= 49.2-5

= 44.2

Hence the number Nick was thinking of is 44.2

We round up to 97 and the divide to the point it can to be divided anymore

Answer:

The completed table is shown below

Step-by-step explanation:

Proportional Relationship

Two variables H and M have a proportional relationship if the following equation is satisfied:

M = kH

Where k is the constant of proportionality.

The table shows one complete point: H=1.5, M=6. This allows us to find the value of k:

6 = 1.5k

k = 6/1.5 = 4

Now we know the complete relationship between distance and time:

M = 4H

To complete the table, we just give the required values and calculate the corresponding value.

For H=0 hours, M=4*0 = 0 miles

For H=0.5 hours, M=4*0.5 = 2 miles

For H=1 hours, M=4*1 = 4 miles

For H=6.5, M=4*6.5 = 26 miles

For M=12 miles, H=12/4 = 3 hours

The completed table is shown below

Answer:

7 years

Step-by-step explanation:

800/100= 8  8x8=48

448/48=7

sorry if im wrong i tried

if i am wrong then the answer is 6 but try the 7 years choice first

Answer:

(2x−5)(x+1)

Step-by-step explanation:

Factor 2x^2−3x−5

2x^2−3x−5

=(2x−5)(x+1)

Answer:

0.0047

Step-by-step explanation:

there is no step by step explanation to this

It would be equal to 0.0047!

Answer:

Below

Step-by-step explanation:

Sides that are larger have bigger opposite angles, so smaller sides have smaller opposite angles, so:

1.

Angle R

Angle P

Angle Q

2.

Angle J

Angle L

Angle K

Answer:

x=52

Step-by-step explanation:

since its an isosceles triangle, both sides are to have the same length.

so x+10+x+10+3x=180(all angles added in a triangle gives 180)

5x+20=180

5x=180-20

5x=160

x=160/5

x=52

Answer: True

Step-by-step explanation:

The inequality is always True

Answer:

Step-by-step explanation:

Vertex of the given parabola is (4, 160)

Since, graph of the parabola is increasing between x = 0 to x = 4,

Profit earned will be between t = 0 and t = 4

Therefore, domain represents the number of years.

Since, profit of the outlet (y-values) vary from x = 0 to x = 10

And value of profit varies from 0 to 160 thousand dollars, so the range of the function will be (0, 160)

Range of the function represents the outlet's profit.

Answer:

The slope of the line would be the constant of proportionality for the line

shown. The point (35, 49) is really close the line which would make the

constant of proportionality 49/35 = 7/5. The equation of the line would be y =

7/5x. The number of loaves of bread from 85 pounds of flour would be

7/5(85) = 119 loaves.

Step-by-step explanation:

A ratio of the rise to a run, or the rise divided by run, is the slope of the line. It denotes how steep a line would be in the coordinate plane.

Find out more about the slope here:

brainly.com/question/3605446

Answer:

The solution to the system of equations is:

[tex]x=\frac{25}{3},\:y=-\frac{11}{9}[/tex]

Step-by-step explanation:

Given the system of equations

[tex]5x + 3y = 38[/tex]

[tex]2x + 3y = 13[/tex]

solving the system of equations

[tex]\begin{bmatrix}5x+3y=38\\ 2x+3y=13\end{bmatrix}[/tex]

Multiply 5x+3y=38 by 2:    10x+6y=76

Multiply 2x+3y=13 by 5:     10x+15y=65

[tex]\begin{bmatrix}10x+6y=76\\ 10x+15y=65\end{bmatrix}[/tex]

so

[tex]10x+15y=65[/tex]

[tex]-[/tex]

[tex]\underline{10x+6y=76}[/tex]

[tex]9y=-11[/tex]

now solving 9y = -11 for y

[tex]9y=-11[/tex]

divide both sides by 9

[tex]\frac{9y}{9}=\frac{-11}{9}[/tex]

Simplify

[tex]y=-\frac{11}{9}[/tex]

For 10x+6y=76 plug in y = -11/9

[tex]10x+6\left(-\frac{11}{9}\right)=76[/tex]

subtract 6(-11/9) from both sides

[tex]10x+6\left(-\frac{11}{9}\right)-6\left(-\frac{11}{9}\right)=76-6\left(-\frac{11}{9}\right)[/tex]

[tex]10x=\frac{250}{3}[/tex]

Divide both sides by 10

[tex]\frac{10x}{10}=\frac{\frac{250}{3}}{10}[/tex]

[tex]x=\frac{25}{3}[/tex]

Therefore, the solution to the system of equations is:

[tex]x=\frac{25}{3},\:y=-\frac{11}{9}[/tex]

Answer:

45%

Step-by-step explanation:

✓Change in price= ($60 - $33)

=$27

✓percent change in price= change in price/ original price ×100%

✓percent change in price= ($27/$60) × 100%

= 0.45×100%

=45%

Hence, the percent change is 45%

Answer:

100 + 15 = 115

5000/100 X 115 = 5750

5750 - 5000= $750

answer D commission is the same

Answer:

2.7 million euros per month

Step-by-step explanation:

Since the room is a rectangular prism, we find the area of the room without its top and bottom, which is the area of the walls, A. So,

A = 2(lh + wh) = 2h(l + w) where l = length of room = 50 m, w = width of room = 40 m and h = height of room = 75 m

Substituting the values of the variables into A, we have

A = 2h(l + w)

= 2(75 m)(50 m + 40 m)

= 150 m × 90 m

= 13500 m²

= 13500 × 1m²

= 13500 × 10000 cm²

= 135000000 cm²

= 1.35 × 10⁸ cm²

Now, since 50 cm² of space = 1 Euro per month, then 1.35 × 10⁸ cm²

= 1.35 × 10⁸ cm² × 1 Euro per month/50 cm²

= 0.027 × 10⁸ Euro per month

= 2.7 × 10⁶ Euro per month

= 2.7 million euros per month

So, the institute will earn 2.7 million euros per month

Answer:

A

Step-by-step explanation:

2 and 1/2 is can be written as 5/2

5/2 cups of soda for every 2/5 cup of pineapple juice

Unit rate means per 1 of something, in this case pineapple juice

5/2 per 2/5  or (5/2) / (2/5)

5/2 ÷ 2/5 = 25/4 or 6 and 1/4

40 divided by 8 = 5

Mark Me Brainliest Please

Answer:

C) 4

Step-by-step explanation:

Arcs on one side of the diameter adds upto 180°.

Therefore,

[tex](2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\ \\ (2 + 17x) \degree + 110 \degree = 180 \degree \\ \\ (2+ 17x) \degree = 180 \degree - 110 \degree\\ \\ (2 + 17x) \degree = 70 \degree \\ \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\ \\ x = \frac{68}{17} \\ \\ x = 4[/tex]

Answer:

Choice C) 4

Step-by-step explanation:

You can do this in multiple different ways but I will do it in the way I believe will be the fastest.

So since we already know everything on one side of the line, we can use that to find x. The line is 180° and since the angles are on the line we know that they will all add up to 180.

For this we will need an equation:

[tex]2+17x+54+56=180[/tex]

Now we add the like terms:

[tex]112+17x=180[/tex]

Subtract the 112 on both sides:

[tex]17x=68[/tex]

Divide the 17 on both sides:

[tex]x=4[/tex]

6(-3x+8)=-3(5x +4)

Distributive property:

-18x + 48 =  -15x -12

Add 15x to both sides:

-3x + 48 = -12

Subtract 48 from both sides:

-3x = -60

Divide both sides by -3:

x = -60 / -3

x = 20

Answer:

25 + 15n ≥ 150

Step-by-step explanation:

The term at least mean the amount saved is greater than or equal to 150

Let the number of weeks he intends to save be n

Amount saved after n weeks without the plan is:

15n

Add plan amount

= 25 + 15n

Add inequality

25 + 15n ≥ 150

Answer:

s = 32

Step-by-step explanation:

-5 (s - 30) = -10

Apply distributive property.

-5s + 150 = -10

We need to get "s" alone. By getting it alone, subtract 150 from both sides.

-5s + 150 - 150 = -10 - 150

-5s = -160

Wait a second, there is still a -5 on the s. We need to get s alone. Divide both sides by -5 to get s alone.

-5/-5s = -160/-5

s = 32

s = 32 is your answer AKA the last one. I hope this helps! Let me know if I got anything wrong or if you need any more help.

Answer:

6

Step-by-step explanation:

it's given that x=1

y=-(1)+7

y=-1+7

y=6

Answer:

y = 6

Step-by-step explanation:

Given (1, y ) is on the graph of y = - x + 7

Substitute x = 1 into the equation and evaluate for y

y = - 1 + 7 = 6

Then (1, 6 ) lies on the graph