The sales tax on a sofa that that costs $575 was $43.13. What was the percent sales tax? (Sales tax in $ is given; Price is given; Calculate tax in%) Need to show work by writing formula, substitute numbers, rewrite correct answer with right unit (like $ or % etc)

Answer:

5

Step-by-step explanation:

20/5=4

45/5=9

cant simplify farther

Answer:

the answer is 5.

Step-by-step explanation:

Factors for 20: 1, 2, 4, 5, 10, and 20.

Factors for 45: 1, 3, 5, 9, 15, and 45.

Same numbers is 5.

the answer is 5.

Answer:

$80

Step-by-step explanation:

DJ Dan's hourly rate will be $80.

Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.

Assume that the hourly rate is $[x]. Than, we can write -

3.5x + 125 = 405

3.5x = 405 - 125

3.5x = 280

x = (280/3.5)

x = 80

Therefore, DJ Dan's hourly rate will be $80.

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BbbbbbbbbbbbbbbbbbbbBBBBbbbBbbbBbbbBbb

It is the time it takes Amy to hike to the waterfall.

The term [tex]\frac{6}{x}[/tex]  describes the time it takes Amy to hike to the waterfall.

The correct answer is an option (C)

"It is defined as the distance traveled per unit times."

"It defines a relation between input values and output values."

For given example,

Amy hikes 6 miles from a ranger station to a waterfall and back again. She hikes 1 mile/hour faster on the way back.

we have been given a function [tex]T(x)=\frac{6}{x}+\frac{6}{x+1}[/tex]

This function represents Amy's total time spent hiking,

and x represents Amy's hiking speed in miles/hour.

Let 't' be the time required to reach Amy from ranger hills to a waterfall.

As 'x' represents Amy's hiking speed in miles/hour and Amy hikes 6 miles from a ranger station to a waterfall.

Using the formula of speed,

⇒ x = 6/t

⇒ t = 6/x

Therefore, the term [tex]\frac{6}{x}[/tex]  describes the time it takes Amy to hike to the waterfall.

The correct answer is an option (C)

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Answer:

-4, 2, -1

Step-by-step explanation:

everything is being multiplied by -1/2

32 × -1/2 = -16

-16 × -1/2 = 8

So 8 × -1/2 = -4

Answer:

$3.74

Step-by-step explanation:

5 pounds is 9.35 means 1 pound is 1.87 dollars

2 pounds is 3.74 dollars

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Step-by-step explanation:

Given the point

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Arrange equation variable for elimination

[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]

so

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

[tex]-[/tex]

[tex]\underline{y-4x=9}[/tex]

[tex]7x=-14[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]

Solve 7x = -14 for x

[tex]7x=-14[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]

Simplify

[tex]x = -2[/tex]

For y - 4x = 9 plug in x = 2

[tex]y-4\left(-2\right)=9[/tex]

[tex]y+4\cdot \:2=9[/tex]

[tex]y+8=9[/tex]

Subtract 8 from both sides

[tex]y+8-8=9-8[/tex]

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]

Thus, the second option is correct.

Answer:

-4

Step-by-step explanation:

Answer:s

slope of -4x-3: m=-4

Answer:

b

Step-by-step explanation:

becuse

Answer:

top right

Step-by-step explanation:

Answer:

≈ 77 cm²

Step-by-step explanation:

The area of the shaded portion is calculated as

area of outer sector - area of inner sector

= (πR² - π r²) × [tex]\frac{60}{360}[/tex] ( R is the outer radius, r is the inner radius )

= (π × 14² - π × 7² ) × [tex]\frac{1}{6}[/tex]

= (196π - 49π ) ÷ 6

= 147π ÷ 6

≈ 77 cm² ( nearest whole number )

Answer:

[tex]A_s=76.97\ cm^2[/tex]

Step-by-step explanation:

Circular Sector

It's the portion of a circle enclosed by two radii and an arc. The area of a sector is calculated as follows:

[tex]\displaystyle A=\frac {r^{2}\theta }{2}[/tex]

Where r is the radius and θ is the central angle expressed in radians. The central angle will be converted to radians:

[tex]\theta=60*\frac{\pi}{180}=1.0472\ rad[/tex]

The shaded region in the figure can be obtained by subtracting the smaller sector A2 area from the larger sector area A1:

[tex]A_s=A_1-A_2[/tex]

The larger area is calculated with a radius of r1=14 cm:

[tex]\displaystyle A_1=\frac {14^{2}*1.0472 }{2}[/tex]

[tex]\displaystyle A_1=102.626\ cm^2[/tex]

The smaller area is calculated with r2=7 cm:

[tex]\displaystyle A_2=\frac {7^{2}*1.0472 }{2}[/tex]

[tex]\displaystyle A_2=25.656\ cm^2[/tex]

The shaded area is:

[tex]A_s=102.626\ cm^2-25.656\ cm^2[/tex]

[tex]\boxed{A_s=76.97\ cm^2}[/tex]

Answer:

Its 0

Step-by-step explanation:ur not smart if u dont know that

Answer:

D

Step-by-step explanation:

y=-x-4

First, we can match the graphs with the y-intercept of -4 given from the equation.

Only graphs C and D crosses the y-axis at -4.

The slope from the equation is -1.

If the slope is a negative number, the line should be negative as well, meaning the line should be going downwards (left to right always)

Out of graphs C and D, only graph D has a line going downwards and a y-intercept of -4.

Hope I was able to help! Good Luck!

Answer:

76 is the answer :)

Answer:

Aye My Guy You Got The Answer Yet Lol

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

[tex]3\frac{1}{5} \times 2\frac{1}{5}[/tex]

Lets convert it into improper fraction.

[tex]\frac{16}{5} \times \frac{11}{5} = \frac{16 \times 11}{5 \times 5} = \frac{176}{25}[/tex]

Lets convert [tex]\frac{176}{25}[/tex] into a mixed fraction.

[tex]=> \frac{176}{25} = 7\frac{1}{25} = 7.04[/tex]

Rounding off 7.04 gives 7 and rounding 7 further gives 10.

So , the estimate of the product is 10

Answer:   The slope is 5/4  and the  y intercept will  be 2

Step-by-step explanation:

First convert the equation to slope intercept form ( y = mx+b)  where m will be the slope and b will be the y intercept.

5x - 4y = -8      Subtract 5x from both sides

-5x             -5x

  -4y =  -5x - 8     Divide both sides by -5

y =  5/4x  + 2

Answer:

A

Step-by-step explanation:

If 7 out of 9 voted to plant, that means 2 voted against

so the ratio we are looking at here for vote for and vote against is 7:2

So let the total that voted be x

7/9 * x = 119

x = (9 * 119)/7

x = 153

Answer:

cant see from the light retake the photo

Step-by-step explanation:

We learnt this way in Turkey.

Answer:

قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *

Answer:

$25

Step-by-step explanation:

5% of 500 = 0.05 × 500 = 25

Answer:

25$

Step-by-step explanation:

500*.05=25

Hope this helps :0

Answer:

50

Step-by-step explanation:

p/5=10

Your main goal is to isolate p

p/5 = 10, in order to eliminate the 5, multiply 5 on both sides, since it's the inverse of division.

(5)p/5 = 10(5)

p=50

Answer:

A)

Side DF=3

Side EF=6/5

Bye

The values of DF and EF are 3 and 6/5 respectively. (option A)

When two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Given that, Δ ABC ~ Δ DEF

The proportion = AB/DE = BC/EF = AC/DF = 5/3

2/EF = 5/3

EF = 6/5

5/DF = 5/3

DF = 3

Hence, The values of DF and EF are 3 and 6/5 respectively. (option A)

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Answer:

answer is C

average speed=distance÷time=120÷4=30

Answer:

He spend 75.12

Step-by-step explanation:

First determine the amount of the tip

62.60 * 20%

62.60 *.20

12.52

Add this to the cost of the sandwiches

62.60+ 12.52

75.12

Answer:

He spent  75.12! hope this helps :)

Step-by-step explanation:

Answer:

204

Step-by-step explanation:

4(3x+6)

Substitute the x with 15

4(3*15+6)

4( 45 + 6)

Distributive property

4*45 + 4*6

180 + 24

204

Hey there!

The answer to your question is [tex]204[/tex]

To evaluate this, we simply start by plugging the given x value, 15, into the expression, and then solve:

[tex]4[3(15) + 6][/tex]      Plug in X

[tex]4(45 + 6)[/tex]          Multiply

[tex]180 + 24[/tex]           Distribute the 4

[tex]204[/tex]                   Add

Hope it helps and have a great day!

Answer:

-1 < x ≤ 3

Step-by-step explanation:

First, we need to simplify this inequality.

9 > -5x + 4 ≥ -11 (Given)

5 > -5x ≥ -15 (Subtract 4 on both sides)

-1 < x ≤ 3 (Divide -5 on both sides)

Note that the signs flip due to dividing by a negative number.

Answer:

[tex]-1<x\leq3[/tex]

Step-by-step explanation:

Let's take two equations from this and them put them back together! So:

9>-5x+4

and

[tex]-5x+4\geq -11[/tex]

For the first one:

9>-5x+4

Subtract 4 from both sides

5>-5x

Then divide by -5 (Remember to change the direction of the sign!):

-1<x

Now onto the second one:

[tex]-5x+4\geq -11[/tex]

Subtract 4 from both sides:a

[tex]-5x\geq -15[/tex]

Then divide by -5 (Remember to change the direction of the sign!):

[tex]x\leq 3[/tex]

Now add the equations back together:

[tex]-1<x\leq3[/tex]

Complete question :

A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of A. Work out the bearing of B from C.

Answer:

44°

Step-by-step explanation:

From the diagram sketched, we have a right angled d triangle, thus we can apply Pythagoras ;

Using the relation :

Tanθ = opposite / Adjacent

Tan θ = 30 / 30

Tanθ = 1

θ = tan^-1(1)

θ = 45°

Hence, bearing of B from C is 45°