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1 year ago

Which statement is true?

Mathematics

1 answer:

valentinak56 [21]1 year ago

8 0

Answer:

|-3| = 3 and -|-4| = -4

Step-by-step explanation:

The absolute value function changes the sign to positive, if it isn't already. The usual rules of arithmetic and logic apply to these statements.

|-3| = 3 (true) and -|-4| = -4 (true) ⇒ this statement is true

|-3| = 3 (true) and |-4| = -4 (false) ⇒ this statement is false

-|3| = 3 (false) and |4| = 4 (true) ⇒ this statement is false

|-3| = 3 (true) and -|4| = 4 (false) ⇒ this statement is false

<em>Additional comment</em>

A compound "and" statement is only true if <u>all</u> of the parts of it are true.

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A fashion designer makes and sells hats. The material for each hat cost $5.50. The Hats sell for $12.50 each. The designer spend

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The designer must sell 200 hats for breaking even.

Step-by-step explanation:

Given,

Cost for material for each hat = $5.50

Selling price of each hat = $12.50

Cost spend on advertising = $1400

Let,

x represents the number of hats.

Revenue = 12.50x

Costs = 5.50x+1400

For breaking even,

Revenue = Cost

$12.50x=5.50x+1400\\12.50x-5.50x=1400\\7x=1400$

Dividing both sides by 7

$\frac{7x}{7}=\frac{1400}{7}\\x=200$

The designer must sell 200 hats for breaking even.

Keywords: addition, division

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2 years ago

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Stella [2.4K]

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$\huge\underline{\sf{\red{Problem:}}}$

7.) Detemine the value of $\sf{ {3a}^{2} -b.}$

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$\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}$

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