Answer:
$57.40
Step-by-step explanation:
$47.83 + $9.57 = $57.40
Answer:
marcia must have sold at least 22 chocolate cones.
Step-by-step explanation:
Jan sold a total of 65 cones (20+15+30). Tomas sold a total of 68 cones (20+18+30).
If Marcia sold more cones than Jan or Tomas, she had to have sold more than 68 cones in total. 30+17 = 47. I subtracted 68-47, to see how many chocolate cones she should have sold to match the number of cones Tomas sold, which is 21 chocolate cones. Therefore, to surpass Tomas in the total number of cones sold, she had to have sold at least 22 chocolate cones.
7. Slope of AD = 4/16 = 1/4
8. ΔAEC = 3/12 = 1/4
.. ΔDFB = 2/8 = 1/4
9. The angles at E, G, and F are right angles. Lines CE and BF are parallel, so the alternate interior angles at B and C where the transversal AD crosses them are equal. The triangles of interest are similar by AA~.
10. See problem 7. The ratio is the same.
11. Hard to tell what rule they want you to state. Every axis-aligned right triangle with its hypotenuse on AD will have the same ratio of side lengths. (That's one of the features of the graph of a line. It has the same slope everywhere, measured over any distance.)
Given:
From 1:00 pm to 3:30 pm the room temperature had dropped from 82F to 72F.
To find:
The average rate of change of temperature in this room over the period.
Solution:
Time between 1:00 pm to 3:30 pm is 2 hr 30 minutes, i.e., 2.5 hours.
So, change in time is 2.5 hours.
Room temperature had dropped from 82F to 72F.
Change in temperature = 72 F - 82 F
= -10 F
We know that, average rate of change of temperature in this room over the period is



Therefore, the average rate of change of temperature in this room over the period is -4. It means the temperature is decreasing 4 F per hour.