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3 years ago

6

Sales tax on an item directly proportional to the cost of the items purchased. If the tax on a $400 item is $24, what is the sal

es tax on a $350 item?

1 answer:

ArbitrLikvidat [17]3 years ago

4 0

Answer:

$21

Step-by-step explanation:

This can be easily solved by fraction 400/24=350/x

x=$21

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The perimeter of a rectangle is 20.2 CM and it's area is 24.4 cm squared what is its length and width

erma4kov [3.2K]

Answer:

Length of Rectangle = 4 cm And

Width of Rectangle = 1.9 cm

Step-by-step explanation:

Given as :

The perimeter of rectangle = 20.2 cm

The area of rectangle is 24.4 cm

Let the length be L

And width be w

Now Area of rectangle = Length × width

Or, 24.4 = L × W

And Perimeter = 2 (Length + Width ) = 2 (L + W )

Or, 20.2 = 2(L + W )

Or , L + W = 10.1 cm ............ 1

Now, (L - W )² = (L + W)² -4 LW

Or, (L - W )² = ( 10.1)² -4 (24.4)

I.e (L - W )² = 4.41

Or , L - W = 2.1 cm .............. 2

SO , From 1 and 2

( L + W) + (L - W) = 10.1 cm - 2.1 cm

Or, 2L = 8

∴ Length = 4 cm

Again , Width = 4 cm - 2.1 cm = 1.9 cm

Hence Length of Rectangle = 4 cm And

Width of Rectangle = 1.9 cm Answer

6 0

3 years ago

The sales tax on a 15,000 car is 540. at this rate what is the tax on a 32,000 car

maria [59]

Note : Since unit of currency is not defined, I'll be using units.

Sales tax on a 15000 units car = 540 units
540 = 15000 × tax% / 100
=> 540 = 15000 × tax% / 100
=> 540/15000 = tax% / 100
=> tax% = (540/15000) × 100
=> tax% = 540/140
=> tax% = 3.6

now,
sales tax on a 32000 units car = 32000 × tax%/100
= 32000 × 3.6/100
= 320 × 3.6
= 1152 units
therefore sales tax on a 32000 units car = 1152 units

4 0

3 years ago

Imagine a deck of 500 cards numbered from 1 to 500. If all the cards are shuffled randomly and you are asked to pick three cards

amm1812

Answer:

P = 1 / 6

Step-by-step explanation:

Given:-

- A deck has 500 cards

- Numbered from 1-500

Find:-

you are asked to pick three cards, one at a time, what's the probability of each subsequent card being larger than the previous drawn card

Solution:-

- Suppose we draw three cards. We don't care what they actually are, irrespective of number.

- Let the three numbers be a, b, c: Such that:

a < b < c.

- The total possible combinations with 3 numbered cards will be:

a b c

b a c

a c b

b a c

b c a

c a b

- We have 6 possibilities for 3 numbered cards. So the probability of of each subsequent card being larger than the previous drawn card would be:

P = 1 / possible combinations

P = 1 / 6

6 0

3 years ago

T.J. is hosting a dinner party. T.J. greets the first guest and they shake hands. The second guest arrives and shakes hands with

xenn [34]

Answer:

45 Handshakes

Step-by-step explanation:

45 Handshakes have taken place all together

8 0

3 years ago

Read 2 more answers

Please help me i’d really appreciate it so much. have a good day

vfiekz [6]

Answer:

i did my calculations and according to my calculations it is B

3 0

2 years ago