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Anna35 [415]
3 years ago
13

Mary purchases four book online. The book were the same price each, and the shipping fee was $7.25. If the total cost was $55.25

, what was the price of each book?
Mathematics
1 answer:
Sonja [21]3 years ago
6 0

Answer:

The price per book that Mary purchased is $12

Step-by-step explanation:

Mary's total cost can be expressed as;

C=(p×n)+s

where;

C=total cost

p=price per unit of books

n=number of books purchased

s=shipping fee

In our case;

C=$55.25

p=unknown

n=4

s=$7.25

replacing;

55.25=(4×p)+7.25

4 p+7.25=55.25

4 p=55.25-7.25

4 p=48

p=48/4

p=12

The price per book that Mary purchased is $12

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It is in the air 5.625 seconds.

Using the quadratic formula,

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}
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Help me Please....................
MakcuM [25]

9514 1404 393

Answer:

  1.3363

Step-by-step explanation:

The basic idea here is to find an expression for the direction vector between a point on L1 and a point on L2. Then, solve for the points on L1 and L2 that make that vector perpendicular to both lines L1 and L2. (The dot product of direction vectors is zero.) The distance between the points found is the shortest distance between the lines.

__

Let P be a point on L1. Then the parametric equation for P is ...

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Let Q be a point on L2. The direction vector for L2 is given by the difference between the given points. It is (4-1, 1-(-1), 6-1) = (3, 2, 5). Then the parametric equation for Q is ...

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The direction vector for PQ is ...

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The dot product of this and the two lines' direction vectors will be zero:

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  |PQ| = √(94² +1551² +564²)/1237 ≈ 1.3363

The distance between the two lines is about 1.3363 units.

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