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2 years ago

How to calculate 1/2 × 24cm²

Mathematics

1 answer:

Orlov [11]2 years ago

8 0

$\frac{1}{2} \times 24 = 12 {cm}^{2}$

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A silversmith combined pure silver that cost $33.48 per ounce with 51 oz of a silver alloy that cost $24.35 per ounce. How many

Pavlova-9 [17]

Answer:

$38.31

Step-by-step explanation:

Given:

Pure silver that cost $33.48 per ounce used to form $24.35 alloy/ounce.

Question asked:

How many ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce?

Solution:

At cost $24.35/ounce, pure silver is mixed = $33.48

At cost $1/ounce, pure silver is mixed = $\frac{33.48}{24.35}$

At cost $27.87/ounce, pure silver is mixed = $\frac{33.48}{24.35}$ $\times 27.87 = \frac{933.08}{24.35} = 38.31$

Thus, $38.31 ounces of pure silver were used to make an alloy of silver costing $27.87 per ounce.

5 0

3 years ago

Calculate the principal if the maturity value is $4,500 and the simple interest is $350.

suter [353]

Answer:

The principal is $4,150.

Step-by-step explanation:

We have to find the principal if the maturity value is $4,500 and the simple interest is $350.

<u>As we know that the formula for calculating the final amount or maturity amount is given by;</u>

Amount = Principal + Interest

Here, Simple interest = $350

Amount or Maturity value = $4,500

So, the Principal = Amount - Interest

Principal = $4,500 - $350

= $4,150

Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.

4 0

3 years ago

A one-litre milk carton is one quarter full. How much milk is left in the carton?

zheka24 [161]

Answer:

.25 of a liter

Step-by-step explanation:

.2614 of a qt

.53 of a pint

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=%285%5E%7B3%7D%29%5E%7B-3%7D" id="TexFormula1" title="(5^{3})^{-3}" alt="(5^{3})^{-3}" align="

morpeh [17]

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125}$