Answer:
Step-by-step explanation:
To get maximum product we need to optimize how we break down the numbers
Its obvious we don't want number 1 to be used as it won't change the product
Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10
<u>What is best number?</u>
- 2 and 3 are the smallest, 4 can be written as two 2's
- 5 = 2+ 3 and 2*3 = 6, so it is better to use 2's and 3's instead of 5
- 6 = 2+2+2, 2^3 = 8 and 6 = 3+ 3, 3^2 = 9, so it is better to use two 3's for 6
- 7 = 2+2+3, 2*2*3= 12, again 2's and 3's make greater product
<u>So the best is to break the number down to 2's and 3's</u>
- 23 = 2*10 + 3 ⇒ 2^10*3 = 3072
- 23 = 3*7 + 2 ⇒ 3^7*2 = 4374
As we see the maximum product we can get is 4374 with seven 3's and one 2.
<u>Hence the numbers are:</u>
3x-4y=-5
-x+2y=3
Multiply the second by one:
3x-4y=-5
-2x+4y=6
Combine the equations:
x = 1
Substitute x and solve for y:
-2*1+4y=6
-2+4y=6
4y=8
y=2
Answer:
(1,2)
The first one, A
The sixth one, E
And seventh one, F
Answer:
2. 112
3. 78
5. 672
7. 149.8
9. 17.5
10. 19360
11. 64 000
13. 29
14. 350240
15. 386
16. 224
17. 0.9071847
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
44.75 - 28.50 = 16.25 so 16.25 divided by 3.25 equals 5 and 5 times 3.25 equals 16.25 and 16.25 plus 28.50 equals 44.75 so she bought 5 cards.
