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Arte-miy333 [17]
3 years ago
6

A cab driver drove west 2.4 miles. He then drove 6.83 miles east. How far and in which direction did he end up from his starting

point? Use - (negative) to indicate west and + (positive) to indicate east.
A: +4.43
B: -4.43
C: +9.23
D: -9.23
Mathematics
2 answers:
horsena [70]3 years ago
8 0

Answer:

the answer is A:+4.43

Step-by-step explanation:

frosja888 [35]3 years ago
4 0
Because the cab driver drove west and then east, it must be east for the direction he ends up in. We then see that the answer is A because the west is negative so you subtract from the number of miles he drove east, instead of adding. So, once again, the answer is A:+4.43
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let's see what to do...

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Mrs. Griffin wants to plant soybeans and corn on 100 acres of land. Soybeans require 6 hours of labor per acre, and corn require
Vlad [161]

9514 1404 393

Answer:

  • soybeans: 70 acres
  • corn: 30 acres

Step-by-step explanation:

Let x represent acres of soybeans. Then 100-x is the number of acres of corn. All of Mrs. Griffin's labor hours will be used when ...

  6x +8(100-x) = 660

  -2x +800 = 660 . . . . . simplify

  x -400 = -330 . . . . . . . divide by -2

  x = 70 . . . . . . . . . . . . . add 400

Mrs. Griffin should plant 70 acres of soybeans and 30 acres of corn.

_____

<em>Additional comment</em>

The problem is not well-specified, as there is no indication of the reason why Mrs Griffin should plant any number of acres of either crop. So, we assume the intent is to use all of the acres and labor hours available.

This makes the problem equivalent to a system of two equations in two variables. We effectively substituted (100-x) for the acres of corn, which might otherwise be its own variable.

Often, you're interested in maximizing or minimizing some objective function given these constraints. If we wanted to minimize labor, for example, we would plant all soybeans, since there is less labor involved. That would only require 600 hours of labor, instead of 660.

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