A man buys furniture that has a list price of $255. He is allowed a discount of 12%
but must pay a sales tax of 3% on the cost. Which of the following is the amount he
actually pays for the furniture:
(A) $217.67
(B) $231.13 (C) $224.40 (D) $232.50 (E)
none of these.

Answer:

10

My Logic:

if im correct the scale playground is 15cm wide while the real playground is 150 cm wide. That means that the scale playground is 1/10 of the real one or 1/10 scale.

Hope the helps!

Answer:

Option B 6x-7y = -11 is correct

Step-by-step explanation:

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (3,1)

The equation used is:

[tex]y-y_{1}=m(x-x_{1})[/tex]

where m is the slope.

Finding slope :

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

x₁= 1/2, y₁=2, x₂=-3, y₂=-1

Putting values:

[tex]m=\frac{-1-2}{-3-1/2} \\m=\frac{6}{7}[/tex]

Now taking point (1/2,2) and slope m = 6/7 finding equation:

[tex]y-y_{1}=m(x-x_{1})y-2=\frac{6}{7}(x-\frac{1}{2})\\ 7(y-2)=6(x-\frac{1}{2})\\7y-14=6x-3\\7y-6x=-3+14\\7y-6x= 11\\Multiply \,\,with\,\, -1\\-7y+6x=-11\\6x-7y=-11[/tex]

So, Option B 6x-7y=-11 is correct

Keywords: Standard form of the equation

HOPE THIS HELPS!

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Equation of this line in standard form:

6x − 7y = −11

Given points:

(-3, -1) ; (1/2 , 2)

We need to write the equation of the given line in standard form.

The points are (1/2,2) and (-3,-1)

The equation used is:

(y - y1) = m (x - x1)

m = slope = y2 - y1 /x2 - x1

Now,

(-3,-1) : (x1 , y1)

(1/2,2) : (x2 , y2)

m = slope = y2 - y1 /x2 - x1

m = 2- (-1)/ 1/2 - (-3)

m = 6/7

Substitute the values in the standard form,

y - (-1) = 6/7 [x- (-3)]

⇒6x−7y=−11

Hence

Equation of this line in standard form:

6x − 7y = −11

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Answer:

B is your answer

Step-by-step explanation:

Hope this helped!

Answer:7

Step-by-step explanation:

95/12=7.916666666666666666666666666

Answer:

Only 7 but the exact form will be 7[tex]\frac{11\\}{12}[/tex].

Step-by-step explanation:

Hope this helps:)!

Answer:

Angle 3

Angle 4

Angle DVE

Angle FVE

Angle DVF

The angles that have V as a vertex are:

[tex]\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF[/tex]

Recall:

Thus, from the given image,

Each of the following angles has V as the vertex of its angle:

Therefore, the list of all angles having V as a vertex are:

[tex]\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF[/tex]  

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Answer:

the circle has a radius

Step-by-step explanation:

Answer: I think it's no, sorry if I can't help

Step-by-step explanation:

Answer: an arithmetic sequence

Step-by-step explanation:

Answer:

Care Value will be 202500 Rupees.

Step-by-step explanation:

2225000(0.9)

The unit rate for canned juice, in cases per minute is; 50 cases per minute is; cases per minute

From the attached file, we see that it is a graph showing canned juice on the y-axis and time taken in minutes on the x-axis.

Now, to find the unit rate also means to find the slope from 2 defined points. From the given graph, we will take the coordinates;

(1, 50) and (2, 100)

Thus;

Slope = (100 - 50)/(2 - 1)

Slope = 50 cases per minute

Thus, the unit rate for canned juice, in cases per minute is; 50 cases per minute.

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Complete question is; A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers of cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.

What is the unit rate for canned juice, in cases per minute? Explain how you found this unit rate.

Answer:

C. 0.5

Step-by-step explanation:

If point B is nearest to zero and that far from three, it is going to be 0.5. Not to mention, you can estimate that point is about a half from one.

Answer:

C

Step-by-step explanation:

A - 3.6 is ahead of C, so nope

B - -0.2 is behind A, nope

C - 0.5 works because it seems reasonably distanced (closer to 0 than 3.5)

D - 2 is closer to 3.5, but point b is closer to 0.

Also, if you divide the section between A and C by 7, you can find that 0.5 works because it should be the first section of 0.5

Answer:

A = 250 square ft

Step-by-step explanation:

Equations

Let's call:

x = width of the game room

The length is 5 more than twice the width, thus:

2x+5 = length of the game room

The perimeter of a rectangle is twice the sum of the width and the length:

P = 2( x + 2x + 5 )

And the perimeter is 70 ft:

2( x + 2x + 5 ) = 70

Operating:

2( 3x + 5 ) = 70

Dividing by 2:

3x + 5 = 35

Subtracting 5:

3x = 30

Dividing by 3:

x = 30 / 3

x = 10

The width is 10 ft and the length is 2(10)+5=25 ft

The area of the game room is:

A = 10 ft * 25 ft

A = 250 square ft

Answer:

153.846153846

Step-by-step explanation:

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Answer:it would need to be 5

Answer:

4 years if my math is correct

Step-by-step explanation:

Answer:

The speed of the plane in still air is 590 mph

The speed of the wind is 20 mph

Step-by-step explanation:

Let's call:

x = Speed of the plane in still air

y = Speed of the wind

The plane traveled d=4575 miles with the wind in t=7.5 h. The speed calculated with this data corresponds to the sum of the speed of the plane and the speed of the wind, thus:

[tex]\displaystyle x+y=\frac{4575}{7.5}=610[/tex]

x + y = 610        [1]

The plane traveled 4275 miles in 7.5 hours against the wind, thus the speed calculated is x - y:

[tex]\displaystyle x-y=\frac{4275}{7.5}=570[/tex]

x - y = 570        [2]

Adding [1] and [2]:

2x = 610 + 570 = 1180

x = 1180 / 2 = 590

From [1]:

y = 610 - 590 = 20

The speed of the plane in still air is 590 mph

The speed of the wind is 20 mph

Answer:8^1/6*2^x=32^1/2

We move all terms to the left:

8^1/6*2^x-(32^1/2)=0

Domain of the equation: 6*2^x!=0

x!=0/1

x!=0

x∈R

We get rid of parentheses

8^1/6*2^x-32^1/2=0

We calculate fractions

There is no solution for this equation

Answer:

Isabel’s retirement savings are made with pretax dollars.

Isabel’s retirement savings may include a contribution from her employer.

Step-by-step explanation:

When you contribute to an IRA account, your contribution is tax deductible. This means that all the money that you contribute to your account comes from pretax dollars. This contribution is limited to $19,500 per year (for 2020) or $26,000 if you are 50 or older.

Your employer can also contribute to your 401(k) account and employer's contribution may be even higher than the employee's. Total contributions including employer's and employee's cannot exceed $57,000 per year (or $63,500 if 50 or older) or the employee's total compensation per year, whichever is lower.

Answer:

The missing value is 2.9mm and cosine was used

Step-by-step explanation:

Given triangle is a right-angled triangle  we can use trigonometric ratios to calculate the missing length.

In the given triangle,

Base = k

Hypotenuse = 15mm

Angle = 79

We will use trigonometric ratio which includes base and hypotenuse.

Using cosine,

[tex]cos\ (angle) = \frac{Base}{hypotenuse}\\cos\ 79 = \frac{k}{15}\\k = cos\ 79 * 15\\k = 0.1908*15\\k = 2.862[/tex]

Rounding off to nearest tenth

[tex]k= 2.9mm[/tex]

Hence,

The missing value is 2.9mm and cosine was used

Answer:

The Yates phone bill will be $2100 for a year.

Step-by-step explanation:

175x12=2100

Answer:

2100

Step-by-step explanation:

but i think i be broke after that

Answer:

Label A:increasing

Label B: no change

Label C: decreasing

Step-by-step explanation:

Answer: 1 1/5 mph

Step-by-step explanation:

Answer:

2.456%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the two points

Determining the distance between the points

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(7-\left(-3\right)\right)^2+\left(15-10\right)^2}[/tex]

[tex]=\sqrt{\left(7+3\right)^2+\left(15-10\right)^2}[/tex]

[tex]=\sqrt{10^2+5^2}[/tex]

[tex]=\sqrt{100+25}[/tex]

[tex]=\sqrt{125}[/tex]

[tex]=\sqrt{5^3}[/tex]

[tex]=\sqrt{5^2\cdot \:5}[/tex]

[tex]=5\sqrt{5}[/tex]

Therefore,

[tex]\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}[/tex]

Determining the midpoints between the points

Given the two points

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:10\right),\:\left(x_2,\:y_2\right)=\left(7,\:15\right)[/tex]

[tex]=\left(\frac{7-3}{2},\:\frac{15+10}{2}\right)[/tex]

[tex]=\left(2,\:\frac{25}{2}\right)[/tex]

Therefore,

[tex]\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)[/tex]

Answer:

still blurry

Step-by-step explanation: