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2 years ago

8

The Lone Star Shipping Company charges $14 plus $2 a pound to ship an overnight package. Discount Shipping Company charges $20 p

lus $1.50 a pound to ship an overnight package. For what weight is the charge the same for the two companies?

1 answer:

Ymorist [56]2 years ago

4 0

Answer:

12 pound

Step-by-step explanation:

Let $x$ be the weight of the package.

For Lone Star Shipping, the cost will be:

$2x + 14$

For Discount Shipping Company, the cost will be:

$1.5x + 20$

We hence equate these two expressions equal to each other, since the cost should be same.

$2x + 14 = 1.5x + 20 \\2x - 1.5x = 20 -14\\0.5x = 6\\x = 6 \div 0.5\\x = 12$

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(1^2+1^2)^(1/2)
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wolverine [178]

Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

Is A because an acute triangle is a triangle where all the angles are the same.

Can not be B. because isosceles triangles have two sides that are the same which doesn't relate to angles.

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2 years ago

Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

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According to the Pythagorean identity,

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Recall that, the cosine function is an even function, therefore

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We substitute this value in to the above Pythagorean identity to get;

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$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

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