Jessie recently drove to visit her parents who live 525 miles away. On her way there her average was 24 miles per hour faster than on her way home (she ran into bad weather). If Jessie spent a total of 15 hours driving, find the two rates.
Jessies average spend to her parents housemph
Jessies average spend from her parents housemph

Jessie's average spend to her parent's house 84 mph.

Jessie's average spend from her parent's house 60 mph.

Step-by-step explanation:

Let, Jessie's average spend to her parent's house is x mph and Jessie's average spend from her parent's house is y mph.

Now, given that, x = y + 24 ............... (1)

And,

⇒ 35x + 35y = xy  ................ (2)

Now, solving equations (1) and (2) we get,

35(y + 24) + 35y = (y + 24)y

⇒ 70y + 840 = y² + 24y

⇒ y² - 46y - 840 = 0

⇒ y² - 60y + 14y - 840 = 0

⇒ (y - 60)(y + 14) = 0

⇒ y = 60 mph {As y can not be negative}

So, x = y + 24 = 84 mph

Therefore, Jessies average spend to her parents house 84 mph.

Jessies average spend from her parents house 60 mph. (Answer)

60

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40