Write an equation that represents the distance d and Miles traveled by the monarch butterfly and t days

Complete question :

When the monarch butterfly is migrating to the south, it has an average speed of 80 miles per day. Write an equation that shows the realtionship between the number of days (t) and the distance (in miles) it has traveled (d)

d = 80t

Step-by-step explanation:

Given :

Average speed = 80 miles per hour

Distance traveled (in miles) = d

Number of days = t

Equation which shows the Relationship between Number of days and distance traveled :

Recall :

Speed = distance / time

Speed = 80 ; distance = d ; time = t

80 = d/t

80 * t = d

d = 80t

She had 200 cards to start with

Step-by-step explanation:

Let x = the amount of cards she had initially. This means she had x cards to start with.

She gave half of the cards she had to a friend. This means she gave her friend x/2 cards. She is left with with (x-x/2) = x/2 cards.

She also gave 1/4 of the remaining cards to her brother. This means that she gave (1/4 × x/2) = x/8 cards to her brother.

Remaining number of cards will be x/2 - x/8 = (4x-x)/8 = 3x/8

She still has 75 cards left. This means

3x/8 = 75

Cross multiplying with 8, it becomes

3x = 75×8 = 600

x = 600/3 = 200

She had 200 cards to start with.