Dan bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 46 cards left. How many cards did Dan start with ? show equation

79

Step-by-step explanation:

Let's say that N is the number of cards.

So the first step is N+5, because dan bought 5 new cards.

Next his dog ate half the collection, so the 2nd piece of the problem is

The last step is to now make it an equation. Because there are now 46 cards left, =42.

Now solve for N which is N+5=84=> N=79

brainliest would be appreciated!

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

4.5%

step-by-step explanation: