HELP please pleaseeeeee.....
Question
Answer:
Answers:_______________________________________________
1) The correct answer is: [C]: " $ 41.91 " ._______________________________________________
2) The correct answer is: [C]: " 3 x 3 x 3 x 3 " .
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3) The correct answer is: [B]: " 100,000 " .
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{Explanations follow}:
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1) The correct answer is: [C]: " $ 41.91 " .._____________________________________
Explanation:
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Set up a proportion/ratio, in the form of a "fraction":
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($ 26.67) / (7 gal) = {"x" (in dollars} / (11 gal) ; Solve for "x" (in dollars) ;
Cross-multiply:
7x = (26.67) * (11) ;
Divide each side of the equation by " 7 " ;
→ 7x / 7 = { (26.67) * (11) } / 7 ;
to get:
→ x = (293.37) / 7 ;
→ x = " 41.91 " (in dollars) ; which is: Answer choice: [C]: " $ 41.91 ".
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2) The correct answer is: [C]: " 3 × 3 × 3 × 3 ".
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Explanation:
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"Which of the following expressions is equal to " 3⁴ " ?
→ Answer choice: [C]: " 3 × 3 × 3 × 3 " ; is the correct answer ;
→ which is the number, " 3 " ; being multiplied by itself , "4 times" ;
→ which is, by definition, the equivalent of: " 3 ⁴ " .
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Consider the other answer choices:
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[A]: " 3 + 4 " ; is incorrect; since: "3 + 4" is equal to: " 7 " ; and
" 3 ⁴ = " 3 × 3 × 3 × 3 " = "81" .
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[B]: " 3 × 4 " ; is incorrect; since: "3 x 4" is equal to: "12" ; and:
" 3 ⁴ = " 3 × 3 × 3 × 3 " = "81".
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[D]: " 3 + 3 + 3 + 3 " ; is incorrect;
since: " 3 + 3 + 3 + 3 = 12 = 3 × 4 = 12 ;
→ (i.e. the number "3", added to itself "4" times) ; and:
" 3 ⁴ " = " 3 × 3 × 3 × 3 " = "81" .
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3) The correct answer is: [B]: " 100, 000 " .
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Explanation:
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"Which expression is equal to: " 10⁵ " ? "
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The correct answer is: [B]: " 100, 000 " .
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Note: " 10⁵ " = the number "1" , followed by "5 zeros" .
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Consider the other answer choices:
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[A]: "10 × 10 × 10 × 10 × 10 × 10" ; is incorrect ; since this would equal: " 10⁶ " .
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[C]: " 1,000,000" ; is incorrect; since this would equal: "10⁶ " ; as well.
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[D]: " 10 × 10 × 10 × 10" ; is incorrect; since this would equal: "10⁴ " .______________________________________________________
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11 months ago
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