Step-by-step explanation:
Let vertical height of ladder from ground be y and
horizontal distance of the base of the ladder from the wall be x respectively.
Length of the ladder = l (constant) = 10 ft
<u>Using Pythagoras theorem</u>:
Differentiate both sides w.r.t time
<u>We know that</u> (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)
<u>( Ignore - ive sign)</u>
Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.
68% will be 1 standrd deviation either side of the mean so a reasonable estimate will be (25*0.68) / 2 = 8.5
Given that Noemi makes a bracelet that averages $0.60 per bead, we need to write an equation that models this average bead cost. This can be found by taking the total cost of the beads and dividing it by the number of beads used.
1. The total cost of the beads may be found by multiplying the price of each type of bead by the number used, and then adding these values together. Thus:
Total Cost = 0.75x + 3*0.3
= 0.75x + 0.9
2. Total number of beads = x + 3
3. Thus, the average cost is:
(0.75x + 0.9)/(x + 3)
4. Using the value of the average cost per bead given to us ($0.60), we can now write up the full equation:
0.6 = (0.75x + 0.9)/(x + 3)
Answer:
1.25cups(8oz/1cup)=10 ounces
Step-by-step explanation:
we convert 1 1/2 quarts to cups. There are 4 cups in a quart:
1 1/2 quarts= 3/2 quarts (4 cups/ 1 quart)= 6 cups
Amount poured out:
6 cups- 3.5 cups= 2.5 cups
Amount poured in each cup:
2.5/2=1.25 cups
