Mathematics, 29.05.2020 23:07 LilLappyLOL

The box is laid on its side and the white label covers 75% of the lateral surface area of the box. Find the length x of the box.

The box is laid on its side and the white label covers 75% of the lateral surface area of the box. Find the length x of the box.

The box is laid on its side and the white label covers 75% of the lateral surface area of the box.

Answers: 2

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Answers

Answer from: acamiyah

x = 7.7 inches

Step-by-step explanation:

75% of the lateral surface area of the box = Area of the sticker

Area of the sticker = 2(length + width) × height

= 2(5 + 4.5)(1)

= 19 square inches

75% of the lateral surface area of the box = 19 square inches

$\frac{75}{100}(L.S.A.) = 19$

L.S.A. of the box = $\frac{19}{0.75}$

= 25.33 square inches

Since lateral surface area of the rectangular box = 2(l + b)h

= 2(x + 5)(1)

Therefore, 2(x + 5) = 25.33

x + 5 = 12.67

x = 12.67 - 5

x = 7.67

x ≈ 7.7 inches

Therefore, length of x is 7.7 inches.

Answer from: Quest

Aand b are correctly balanced reactions. they have the same number of atoms in both sides of the reaction

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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The box is laid on its side and the white label covers 75% of the lateral surface area of the box. F...