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marishachu [46]

3 years ago

5

The radio station gave away a discount coupon for every twelfth and thirteenth caller. Every twentieth caller received free conc

ert tickets. Which caller was the first to get both a coupon and a concert ticket? Explain your thinking.

1 answer:

Snezhnost [94]3 years ago

7 0

Answer:

60th caller.

the 12th caller would hit a number divisible by 20 at 60.

12,24,35,48,60

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mylen [45]

Answer:

x = 12

Step-by-step explanation:

The hexagonal tile given here is made up of 6 triangles with equal bases and heights.

So, area of hexagonal tile will be equal to 6 times the area of one triangle.

Therefore,

$18 \sqrt{3} = 6 \times \frac{1}{2} \times 2 {( \sqrt{3)} }^{ \frac{x}{12} } . {( \sqrt{3)} }^{ \frac{x}{6} } \\ \\ 18 \sqrt{3} = 6 {( \sqrt{3)} }^{ \frac{x}{12} } . {( \sqrt{3)} }^{ \frac{2x}{12} } \\ \\ \frac{18 \sqrt{3} }{6} = {( \sqrt{3)} }^{ \frac{x}{12} + \frac{2x}{12} } \\ \\ 3 \sqrt{3} = {( \sqrt{3)} }^{ \frac{3x}{12} } \\ \\ 3. {3}^{ \frac{1}{2} } = {3}^{ \frac{3x}{24} } \\ \\ {3}^{1 + \frac{1}{2} } = {3}^{ \frac{x}{8} } \\ \\ {3}^{ \frac{3}{2} } = {3}^{ \frac{x}{8} } \\ (bases \: are \: equal \: so \: exponents \: \\ will \: also \: be \: equal) \\ \implies \frac{3}{2} = \frac{x}{8} \\ \\ x = \frac{3 \times 8}{2} \\ \\ x = 3 \times 4 \\ \\ x = 12$

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2 years ago

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Step-by-step explanation:

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2 years ago

The volume of a shipping container is 448.656 cubic inches, and it can hold 24 smaller boxes. What's the volume of each of the s

madreJ [45]

Answer:

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Step-by-step explanation:

The volume of Shipping container = 448.656 inches³

The shipping container hold small boxes of numbers = 24

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Or, The volume of each of small boxes = 18.694 inches³

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3 years ago