Answer:
4, 22 See below
Step-by-step explanation:
2x + y = 30
5x + y = 42
Subtract the first from the second
3x = 12
x = 4 so socks cost $4
Put that into one of the original equations
2x + y = 30
2(4) + y = 30
8 + y = 30
y = 22 slippers cost $22
The sum of the 5 terms in the arithmetic series is 40.
Step-by-step explanation:
Step 1; First we need to determine the three values between a1= -14 and a5=30. The difference between the first and fifth value = 30 - (-14) = 30 + 14 = 44.
Since there are 4 values after a1 we divide the difference by the number of terms, the difference between each term = 44 / 4 = 11. So the difference between each term is 11.
Step 2; To find out the terms we just add the difference to the previous number.
a1 = -14.
a2 = -14 + 11 = -3.
a3 = -3 + 11 = 8.
a4 = 8 + 11 = 19.
a5 = 19 + 11 = 30.
So a1 + a2 + a3 + a4 + a5 = -14 -3 + 8 + 19 + 30 = 40.
There are 12 months in a year and the equation is asking for 5 years, so 5x12=75
The rent starts at $700 and I️t increases $25 each month for 75 months
$700 +$25(75)
$700+ $1,875
$2,575
