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3 years ago

14

Chang and Cal both collect pearls. Chang has three more pearls in her collection than Cal. Write an expression to represent the

total number of pearls in both collections.

1 answer:

natta225 [31]3 years ago

6 0

Let <em>x</em> be the number of pearls in Chang's collection. Let <em>y</em> be the number of pearls in Cal's collection.<em />

Chang has 3 more than Cal, so <em>x</em> = <em>y</em> + 3.
Adding both collections would be <em /><em>x</em> + <em /><em>y.</em> It's easier to have an expression in one variable, so we will substitute what we had written about Chang in for <em>x</em>.
(<em>y</em> + 3) + <em>y</em> = 2<em>y</em> + 3.

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Answer:

$\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4$

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Step-by-step explanation:

<em>Required: Solve the expressions using proper operation order</em>

To solve this, we'll make use of BODMAS

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$\frac{41 - 3^2}{\sqrt{36} * 3 - 26}$

Evaluate all squares and square roots

$\frac{41 - 3*3}{\sqrt{36} * 3 - 26}$

$\frac{41 - 3*3}{6 * 3 - 26}$

Evaluate the numerator (Start by multiplying 3 * 3)

$\frac{41 - 9}{6 * 3 - 26}$

Subtract 9 from 41

$\frac{32}{6 * 3 - 26}$

Evaluate the denominator (Start by multiplying 6 * 3)

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$\frac{32}{-8}$

Divide 32 by -8

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Hence;

$\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4$

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$12 + 3\sqrt{8} * (9 - 2)$

Start by evaluating the bracket

$12 + 3\sqrt{8} * 7$

Then evaluate the multiplication

$12 + 21\sqrt{8}$

Simplify the square root

$12 + 21\sqrt{4 * 2}$

Split the square root

$12 + 21\sqrt{4} * \sqrt{2}$

Take Square root of 4

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$12 + 42 \sqrt{2}$

Hence;

$12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}$

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$\frac{28 - (7^2 + 3)}{-13 + 3 * 5}$

Evaluate 7²

$\frac{28 - (49 + 3)}{-13 + 3 * 5}$

Evaluate all expression in the bracket

$\frac{28 - (52)}{-13 + 3 * 5}$

$\frac{28 - 52}{-13 + 3 * 5}$

Evaluate 3 * 5

$\frac{28 - 52}{-13 + 1 5}$

$\frac{-2 4}{2}$

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Hence;

$\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12$

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$7^2 - 5* 8+1$

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$49 - 40 + 1$

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$7^2 - 5* 8+1 = 10$

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$(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1$

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$(2 * 4) - (3 * 9) + 1$

Solve the expressions in bracket

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$(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18$

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