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3 years ago

I paid $7. 74 in county sales taxes. The tax rate is 3%

Mathematics

1 answer:

makvit [3.9K]3 years ago

8 0

Let those total sales be s. Then 0.03s = $7.74, and s = $7.74 / 0.03

x = $250 : total sales

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Please solve this question.

egoroff_w [7]

<h3><u>Answer</u> :</h3>

Let numerator of fraction be x and denominator be y.

∴ Fraction = x/y

★ <u>Part - A</u> :

$:\implies\tt\:\dfrac{x\times 4}{y-2}=2$

$:\implies\tt\:4x=2(y-2)$

$:\implies\tt\:4x=2y-4$

$:\implies\tt\:2y=4x+4$

$:\implies\bf\:y=2x+2\:\:\dots (1)$

★ <u>Part</u><u> </u><u>-</u><u> </u><u>B</u> :

$:\implies\tt\:\dfrac{x+15}{2y-2}=\dfrac{9}{7}$

$:\implies\tt\:7(x+15)=9(2y-2)$

$:\implies\tt\:7x+105=18y-18$

From equation (1)...

$:\implies\tt\:7x+105=18(2x+2)-18$

$:\implies\tt\:7x+105=36x+38-18$

$:\implies\tt\:29x=105-18$

$:\implies\tt\:x=\dfrac{87}{29}$

$:\implies\boxed{\bf{x=3}}$

$:\implies\tt\:y=2x+2$

$:\implies\tt\:y=2(3)+2$

$:\implies\boxed{\bf{y=8}}$

∴ Fraction = x/y = 3/8

<h3>Hope It Helps!</h3>

5 0

3 years ago

Read 2 more answers

find the equation of the straight line which has a gradient of 3 and passes through the point (-1, 3)

iogann1982 [59]

Answer:

y=3x+6

Step-by-step explanation: 3=3(-1)+b

3=-3+b

+3 +3

6=b

8 0

2 years ago

a plumber laying 500 meters of drain pipe required 20 men of working for 10 days . What length in meters would be laid by 50 men

belka [17]

Answer:

500 meters =20men =10days

To get the factor 500/(20*10)= 5/2 meters/day

For 50 men and 5days we don't know the meters

So we go by 50*(5/2)*5 =625meters

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3 years ago

Hello im in 11th grade, im currently struggling in two classes: chemistry and spanish. Im already in the second semester, and ju

Katarina [22]

For chemistry you would need to get an 84.
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7 0

3 years ago

Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to

viktelen [127]

The dimension that would give the maximum area is 20.8569

<h3>How to solve for the maximum area</h3>

Let the shorter side be = x

Perimeter of the semi-circle is πx

Twice the Length of the longer side

$[70-(\pi )x -x]$

Length = $[70-(1+\pi )x]/2$

Total area =

area of rectangle + area of the semi-circle.

Total area =

$x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2$

When we square it we would have

$70x +[(\pi /4)-(1+\pi)]x^2$

This gives

$70x - [3.3562]x^2$

From here we divide by 2

$35x - 1.6781x^2$

The maximum side would be at

$x = 35/2*1.6781$

This gives us 20.8569

Read more on areas and dimensions here:

brainly.com/question/19819849

#SPJ1

7 0

1 year ago