You can use substitution to solve this.
Let's look at the 2nd equation. 2x+3y=29.
In the first equation, we know that x=12-y. So, substitute that in for the 2nd equation. Do that and we have 2(12-y)+3y=29.
Distribute the 2.
24-2y+3y=29.
Combine like terms.
24+1y=29
Subtract the 24, then subtract on the other side of the equation too.
24-24=0, 29-24=5
So now we know that y=5.
Substitute this for the first equation now to find x.
x=12-5
x=7
Final answer: (7,5) or x=7 y=5
Answer:The inequality is
x greater than or equal to(>/=) 14
Step-by-step explanation:
Let x represent the possible cost of the full pizza. Tara eats 3 of the 10 slices and pays $4.20 for her share. This means that the amount of pizza that Tara ate is 3/10×x = 3x/10
Assuming that Tara has paid at least her fair share, therefore
3x/10 = 4.20
3x = 4.20 ×10 = 42
x = 42/3 = 14
This means that the total cost of the pizza is at least $14. The inequality
how much the pizza could have cost becomes
x greater than or equal to(>/=) 14
Answer:
a = 2
Step-by-step explanation:
If M is the midpoint, 1/2 of FG = FM since FG is the whole length.
FG = 14a + 1
1/2 FG = 1/2(14a + 1)
1/2 FG = 7a + 1/2
The length of the segment FM = 14.5 and that is the same length as 1/2 FG
7a + 1/2 = 14.5
1/2 = 0.5
7a + 0.5 = 14.5 Subtract 0.5 from both sides
7a = 14.5 - 0.5
7a = 14 Divide by 7
a = 14/7
a = 2
- The value of the n is 8.
- There are 7 positive integers between 100 and 200 which are divisible by 14.
<u>Step-by-step explanation:</u>
The sum of first n odd positive integer is n^2. The nth odd number is 2n-1.
i.e. 1 + 3 + ........+ (2n-1) = n^2.
1 + 3 +..........+ (2n-1) = 64
n^2 = 64
n = 8.
The positive integers between 100 and 200 which are divisible by 14 are 112, 126, 140, 154, 168, 182, 196. It is obtained by the multiples of 14 between 100 and 200.
100 = 7 * 14 + 2
200 = 14 * 14 + 4. The answer is 14 - 7 = 7
The seven numbers are
14 * 8 = 112
14 * 9 = 126
14 * 10 = 140
14 * 11 = 154
14 * 12 = 168
14 * 13 = 182
14 * 14 = 196
Answer:
Step-by-step explanation:
The skier would have to go skiing 15 days im pretty sure.
hope im right :)
