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3 years ago

A tank hold a volume of 32m3 what is the new volume of an enlarged tank of the scale factor is 5 ?

Mathematics

1 answer:

kirill [66]3 years ago

4 0

Answer:

The new volume of an enlarged tank is 4000m³

Step-by-step explanation:

The scale factor has to be multiplied by the width, length and height so we will have to multiply it 3 times

h * w * l = 32 m³

(h*5) * (w*5) * (l*5)

if we rearrange the multiplications

(h * w * l) * 5 *5 * 5 =

v * 5 * 5 * 5 =

32m³ * 5 *5 *5 = 4000m³

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◕ A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer. The retailer added transportation cost of Rs 250 , pr

satela [25.4K]

Given :-

A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
Customer has to pay 13% VAT .

To Find :-

Amount to be paid by the customer .

Solution :-

Here , according to the question ,

$\sf\dashrightarrow Cost\ of \ machine \ = \ Rs 4200$

$\sf\dashrightarrow VAT = 13\%$

Therefore cost after adding VAT ,

$\sf\dashrightarrow Cost = Cost_{initial}+13\% of Cost_{initial}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs 4200 \times \dfrac{13}{100}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs546\\$

$\sf\dashrightarrow \bf{ Cost = Rs 4746}$

Again the values added by the retailer before selling to customer ,

Transport = Rs 250
Profit = Rs 300
Tax = Rs 150

Therefore total cost after adding these ,

$\sf\dashrightarrow Cost = Rs( 4746+ 250+ 300 + 150 )\\$

$\sf\dashrightarrow\bf { Cost = Rs 5446}$

Again Selling price after addition of 13% VAT ,

$\sf\dashrightarrow SP = Rs 5446 + 13\% \ of \ Rs 5446\\$

$\sf\dashrightarrow SP = Rs 5446 + \dfrac{13}{100}\times 5446 \\$

$\sf\dashrightarrow SP = Rs (5446 + 707.98) = Rs ( 5446 + 708)\\$

$\sf\dashrightarrow \underline{\underline{\bf SP_{to\ the \ customer} = Rs 6154}}$

Hence the amount to be paid by the customer is Rs 6154 .

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1 year ago

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The price of a pair of socks decreases from 15 dollars to 12 dollars what is the percent decrease

murzikaleks [220]

Answer:

20%

Step-by-step explanation:

12/15 = .8

subtract from 1

gives you .2

convert to a percentage

.2 = 20%

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3 years ago

three ounces of cinnamon cost $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

tatiyna

Answer:
One pound equals $38.4
Step-by-step explanation:
Times the ounces by the cost

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2 years ago

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A circle with radius 4 inches has a central angle of 45 degrees. What is the length of the inscribed arc? Round to the nearest t

mario62 [17]

3.14 inches is the length of the inscribed arc

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2 years ago

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ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches?

Snezhnost [94]

Answer:

$64(in)^{3}$

Step-by-step explanation:

The volume of a box is equal to the length l times the width w times the height h.

$(lenght) \times (width) \times (height)$

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

$8 \times 2 \times 4$

Multiply 8 by 2.

$16 \times 4$

Multiply 16 by 4.

$64 {in}^{3}$

Hence, the volume of the rectangle prism is 64(in)³.

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