(a)
So here's the information we know:
Tanya bought 3 items
Tony bought 4 items
Tony's items were all 2.50 less than Tanya's
So, our equation should look like this:
3x = 4(x - 2.25)
(b)
3x = 4(x - 2.25)
3x = 4x - 9
-x = -9
x = 9
Tanya spent = 9 (x)
Tony spent = 6.75 (x - 2.25)
(c)
3(9) = 4((9) - 2.25)
27 = 36 - 9
27 = 27
or
Tanya: 3x = 3 (9) = 27
Tony: 4( x - 2.25) = 4(9-2.25) = 4(6.75) = 27
(d)
We can conclude that Tanya bought 3 items with a cost of $9 each, and Tony bought 4 items with a cost of $6.75 each. Both Tanya and Tony spent a total of $27.
Probably the last one
Use the equation for the area of a triangle 1/2(bxh)
Then multiply that number by 2 to get the area of the complete shape.
In linear change, the two variables keep increasing or decreasing at the same speed.
Answer:
1:24pm
Step-by-step explanation:
Couple of ways to solve this. Here is one method
Convert all times to minutes and find the total number of minutes they spent on all 3 activities. Then convert to hours and minutes and subtract from the end time of 5;28 to get the start time of all activities which is also the start time of watching the movie (first activity)
So time spent:
Movie: 2 hours 18 minutes = 2 * 60 + 18 = 120 + 18 = 138 minutes
Card game: 34 minutes
Soccer: 1 hour 12 minutes = 1 * 60 + 12 = 72 minutes
Total time spent = 138 + 34 + 72 = 244 minutes = 4 hours and 04 minutes
Subtract 4:04 from 5:28 to get 1:24pm
Check
Movie watch starts at 4:04, ends at 1:24 + 2:18 or 3:42pm
Card game starts at 3:42pm ends at 3:42+0:34 ==> 4:16pm
Soccer starts at 4:16pm ends at 4:16pm + 1:12 ==> 5;28pm
