Answer:
Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
Step-by-step explanation:
Let x be the number of fruit pies sold and y be the number of bottles of fruit juice sold.
Together, the classes sold 60 items, so
x + y = 60
Mr. Sanchez’s class sold fruit pies for $1.55 each, so x fruit pies cost $1.55x.
Mr. Kelly’s class sold bottles of fruit juice for $1.40 each, so y bottles of fruit juice cost $1.40y.
Together, the classes earned $88.20 for their school, so
1.55x + 1.40y = 88.20.
You get the system of two equations:

From the first equation:

Substitute it into the second equation:

Mr. Sanchez's class sold 28 fruit pies and Mr. Kelly's class sold 32 bottles of fruit juice.
The ratio of the areas is the ratio of the squares of the sides ( which is 10:15 or 2:3) so the answer is
2^2 : 3^2 = 4:9.
The ratio of the perimeters = ratio of corresponding side = 2:3.
Answer:
<u>Test the conjecture for 10 even numbers</u>
10 = 3 + 7
12 = 5 + 7
14 = 7 + 7
16 = 5 + 11
18 = 5 + 13
20 = 7 + 13
22 = 11 + 11
24 = 11 + 13
26 = 13 + 13
28 = 11 + 17
<u>Do you think the conjecture is true? Why or why not?</u>
I believe the conjecture is true because the sum of two odd numbers is an even number and you can find two prime odd numbers for every even number whose sum is that even number.
Answer:
It will take it 1 and 1/2 hours.
Step-by-step explanation:
Because they walk 5/6 miles in 5/4 hours we can set up a proportion. They walk 1/6 miles in 1/4 hour. Now using the proportion we can find out that they walk 1 full mile or 6/6 of a mile in 6/4 hours or 1 and 1/2 of an hour.