2y = -8 - 14x
y = -4 - 7x
14x = -8 - 2y
x = (-8/14) - 1/7y
x = -4/7 - 1/7y
Try this option:
1. to calculate the difference of the final sequence:
the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;
2. to calculate the first term of the final sequence:
A={3;7;11;15;19;<u>23</u>;27;31;...;407} and B{2;9;16;<u>23</u>;30;...;709}. It means, the first term of the final sequence is 23.
3. to calculate the last term of the final sequence:
if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.
n<(407-23)/28; n<13.71. If n∈Z, then n=13.
So, the last term of the final sequence is 23+28*13=387.
4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:
{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}
Answer:
4) Alternate angles
Step-by-step explanation:
Alternate angles are on the opposite corners of the line of the angle, and 10 and 14 are on opposite corners, so that makes them alternate angles. I hope this helped you!
Answer:
Step-by-step explanation:
let number of adult tickets=x
and number of student tickets=y
x+y=137 ...(1)
8x+6y=952
divide by 2
4x+3y=476 ...(2)
multiply by 3
3x+3y=411 ....(3)
(2)-(3) gives
x=65
y=137-65=72
number of adult tickets=65
number of student tickets=72
2.
let number of rose flowers =x
and number of carnation flowers=y
x+y=264
y=264-x
3.50 x+2.50y=772
multiply by 2
7x+5y=1544
7 x+5(264-x)=1544
7 x+1320-5 x=1544
2 x=1544-1320
2 x=224
x=112
y=264-112=152
number of rose flowers=112
number of carnation flowers=152
