The three numbers are 12, 18 and 24
Arithmetic progression
Let the 3 number in arithmetic progression be:
a-d, d, a+d ...
If their sum is 3, then;
a-d+d+a+d = 3
2a + d = 3 ........... 1
If the sum of their squares is 11, then;
(a-d)² + d² + (a+d)² = 11
a²-2ad+d²+d²+a²+2ad+d² 11
2a²+3d² = 11 ....... 2
Solving the equations simultaneously, d = 6 and a = 12
First-term = 12
second term = 18
Thirs term = 24
Hence the three numbers are 12, 18 and 24
Hope this helps you!!!!!! :D
This equation will have a Negative
Answer:
infinite solutions
Step-by-step explanation:
Multiply the first equation by 2 so we don't have fractions.
x = 1/2y - 3 becomes 2x = y - 6
Now substitute the second equation into the y-value of the new equation
2x = (2x + 6) - 6
2x = 2x
x can equal anything. this means there are infinite solutions
1)
16.90 is about $17
$17 * 3 = 51
6.99 is about $7
7 * 4 = 28
28 + 51 = 79
This is not reasonable because it costs $79, which is more than $75.
7 * 3 = 21
21 + 51 = 72
The customer has enough for 3 supreme pizzas and 3 dessert pizzas.
2)
16.90 is about 17
5.99 is about 6
17 + 6 = 23
23 - 5 = 18
This is reasonable.
3)
14.85 is about 15
6.99 is about 7
15 + 7 = 22
22/100 = 0.22
0.22 * 22 = 4.84
This is reasonable.
4)
16.90 is about 17
14.85 is about 15
5.99 is about 6
6.99 is about 7
17 * 5 = 85
15 * 5 = 75
6 * 5 = 30
7 * 5 = 35
85 + 75 + 30 + 35 = 225
This is reasonable
5)
14.85 + 1.39(4) = 20
1.39 * 4 = 5.56
14.85 + 5.56 = 20.41
This is not reasonable because the total is more then $20.
