Answer:
<em>Both castles will have the same height at 3.33 minutes</em>
Step-by-step explanation:
This problem will be solved with linear modeling, that is, expressing both people's sand castle's height as a function of time.
Justin built a sandcastle 180 cm tall, and its height is losing at 8 cm/min by the effect of wind. Thus, the height of Justin's sandcastle is:
Where t is the time expressed in minutes.
Taylor's sandcastle is initially 160 cm tall. The wind blows away sand at 8 cm/min but she adds sand at 6 cm/min, thus the real loss of sand is 8 cm/min - 6 cm/min= 2 cm/min. Thus, the height of Taylor's sandcastle is:
To find when both castles have the same height, we set:
Simplifying:
6t=20
Solving:
t=20/6=3.33\ minutes
Both castles will have the same height at 3.33 minutes
Answer:
Step-by-step explanation:
This is a compound inequality that basically states that the X value is greater than or equal to -5, but less than or equal to -1. It is inclusive, because it includes both numbers and therefore should have an equal to sign () instead of just less than or greater than ( < or >).
Answer:
450,000
Step-by-step explanation:
The first digit has 9 choices
Digits 2 through 5 each have 10 choices
Digit 6 has 5 choices.
9 * 10 * 10 * 10 * 10 * 5 = 450,000