What does a decreasing slope means in terms of distance?

Mathematics

1 answer:

Tpy6a [65]3 years ago

5 0

A decreasing slopes in terms of distance means to go back to the start in a certain rate

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Dog food costs 9$ per bag and cat food costs 8$ per bag. if billy spent 89$ and purchased 6 bags of dog food, how many bags of c

REY [17]

6 bags of dog food × $9 = 54
$89 total - $54 spent on dog food = $35 spent on cat food

$35 / $8 = 4.375, but you can't have decimals for cat food bags so round down.

= 4 bags of cat food

3 0

3 years ago

The area of a rectangle is 27 m^2 , and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the

vagabundo [1.1K]

Let $L$ be the length of the rectangle and $W$ be the width. In the problem it is given that $L=2W-3$ . It is also given that the area $LW=27$ . Substituting in the length in terms of width, we have $W(2W-3)=27 \\ 2W^2-3W-27=0 \\ (2W-9)(W+3)=0$ . Using the zero product property, $2W-9=0 \text{ or } W+3=0$ . Solving these we get the width $W=4.5 \text{ or } -3$ . However, it doesn't make sense for the width to be negative, so the width must be $\boxed{4.5 \text{ m}}$ . From that we can tell the length $L=2(4.5)-3=\boxed{6 \text{ m}}$ .