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Temka [501]
2 years ago
5

Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sales-tax rate did Sam pay?

Mathematics
2 answers:
klio [65]2 years ago
7 0
Total purchased w/o tax: $8 +$5 + $15 = $28
He paid (w/tax) $29.82 so 
$ 29.82 - $28 = $1.82 (sale tax)

Now we need to find the sales tax rate:

$1.82 / $28 * 100 = 0.065 *100% = 6.5%

Double check:

$28 *6.5 / 100  = $1.82

$28 + $ 1.82 =  $29.82 total amount he paid..

So the sales tax rate is 6.5%

expeople1 [14]2 years ago
7 0

Answer:

$1.82 or 6.5%

Step-by-step explanation:

Amount paid by Sam for Purchasing brushes =$ 8

Amount paid by Sam for Purchasing palette =$ 5

Amount paid by Sam for Purchasing oil paints =$ 15

Hence, the total amount to be paid by Sam= $8+$5+$15

Total amount to be paid by Sam=$ 28

Total amount paid by Sam= $29.82

Sales- tax paid by Sam= $29.82- 28

Sales- tax paid by Sam= 1.82

Rate of sales-tax=\frac{1.82}{28}× 100

Rate of sales-tax=6.5%

Hence, the correct answer is 6.5%

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FWML is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y
Dima020 [189]

Answer:

x=5

y=8

z=-3

Step-by-step explanation:

We have been given a parallelogram. We are asked to solve for the values of x and y.

We know that opposite sides of parallelogram are equal, so we can set equation as:

3x-3=x+7

3x-x-3=x-x+7

2x-3=7

2x-3+3=7+3

2x=10

\frac{2x}{2}=\frac{10}{2}

x=5

Similarly, we will solve for y.

2y-6=y+2

2y-y-6=y-y+2

y-6=2

y-6+6=2+6

y=8

To solve for z, we will subtract y from x as:

z=x-y\\z=5-8\\z=-3

Therefore, the value of z is negative 3.

4 0
2 years ago
Solve the triangle. A = 19°, C = 102°, c = 6
GrogVix [38]
We know that

Law of sines established
a/sin A=b/sin B=c/sin C

then
a/sin A=c/sin C------------> a=c*sin A/sin C---------> a=6*sin 19/sin 102
a=1.91 units <span>≈2 units

A+B+C=180</span>°----------> B=180-(A+C)-----> B=1180-(19+102)
B=59°
a/sin A=b/sin B-----------> b=a*sin B/sin A----->2*sin 59/sin 19
b=5.27 units <span>≈5.3 units</span>

the answer is the option 
B = 59°, a ≈ 2, b ≈ 5.3 

7 0
2 years ago
A cardboard box without a lid is to have a volume of 16,384 cm3. Find the dimensions that minimize the amount of cardboard used.
Reika [66]

Answer:

The dimensions that minimize the amount of cardboard used is

x = 31 cm ,  y = 34 cm & Z = 15.54 cm

Step-by-step explanation:

Volume of the cardboard = 16,384 cm^{3}

The function that represents the area of the cardboard without a lid is given by

f (x,y,z) = xy + 2xz + 2yz ------  (1)

Volume of the cardboard with sides x, y & z is

xyz = 16384

z =  \frac{16384}{xy}

Put this value of z in equation (1) we get

f (x,y,z) = xy + 2x(\frac{16384}{xy} ) + 2y(\frac{16384}{xy} )

f (x,y,z) = xy + \frac{32768}{y}  + 2y(\frac{32768}{x} )

Differentiate above equation with respect to x & y we get

f_{x}  = y - \frac{32768}{x^{2} }

f_{y}  = x - \frac{32768}{y^{2} }

Take f_{x}  = 0 \ and  \ f_{y} = 0

y - \frac{32768}{x^{2} } = 0

y = 32768 \ x^{-2}  ------ (2)

x - \frac{32768}{y^{2} } = 0

x = 32768 \ y^{-2}  ------- (3)

By solving equation (2) & (3) we get

x^{3} = 32768

x = 31 cm

From equation 2

y = 32768 \ x^{-2}

y = 32768 (31^{-2})

y = 34 cm

z =  \frac{16384}{xy}

z =  \frac{16384}{(34)(31)}

Z = 15.54 cm

Thus the dimensions that minimize the amount of cardboard used is

x = 31 cm ,  y = 34 cm & Z = 15.54 cm

6 0
2 years ago
In which subject did students decline the most from 2000 to 2003?
kifflom [539]
It was social studys
8 0
2 years ago
Which expression can be used to convert 100 USD to Japanese yen
Montano1993 [528]
As of 12:04 EST U.S.

$1=<span>112.624847Yen

So:

100USD(112.624847Y/1USD)=11262.62 Yen</span>
8 0
2 years ago
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