Answer:
Step-by-step explanation:
nth term = a +(n-1)d
a3 = 116 ; a + 2d = 116 ---------(i)
a7 = 180; a + 6d = 180 -------(ii)
multiply (ii) by -1. so a will be eliminated
a + 2d = 116 ---------(i)
(ii)*-1 <u>-a - 6d = -180</u> -------(ii) { Now add the two equations}
- 4d = -64
d = -64/-4
d = 16
Plug in the value of d in equation (i),
a + 2*16 = 116
a + 32 = 116
a = 116 - 32
a = 84
12th term = 84 + 11* 16 = 84 + 176 = 260
Answer:
3) 0.75
5)96 pens
Step-by-step explanation:
3) 5 percent *15 =
( 5:100)*15 =
( 5*15):100 =
75:100 = 0.75
5) 48/4= 12
12*8=96
The answer to the problem is 24
Answer:
Therefore, the original price of the hat is 22.5$.
Answer:
x = 26
y = 9
Step-by-step explanation:
(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)
Solve for x
5x - 17 + 3x - 11 = 180
Collect like terms
5x + 3x - 17 - 11 = 180
8x - 28 = 180
Add 28 to both sides
8x = 180 + 28
8x = 208
Divide both sides by 8
x = 208/8
x = 26
Also:
(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)
Plug in the value of x and solve for y
2y + 5 + 90 + 3(26) - 11 = 180
2y + 5 + 90 + 78 - 11 = 180
Collect like terms
2y + 162 = 180
Subtract 162 from both sides
2y = 180 - 162
2y = 18
y = 9 (dividing both sides by 2)
