Answer:
Peaches cost $5 and Tomatoes cost $7 per box.
Step-by-step explanation:
Let p be the price per box of peaches and t the price of a box of tomatoes.So we have the system:
8p + 6t = 82
6p + 7t = 79
Multiply the first equation by 3 and the second by -4:
24p + 18t = 246
-24p - 28t = -316 Adding:
- 10t = -70
t = 7
Substituting for t in the first equation:
8p + 6(7) = 82
8p = 40
p = 5.
Answer: the 32nd term is - 3
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 15.6
d = 15 - 15.6 = 14.4 - 15 = - 0.6
n = 32
The explicit formula for the arithmetic sequence is
Tn = 15.6 - 0.6(n - 1)
We want to determine the value of the 32nd term, T32. Therefore,
T32= 15.6 - 0.6 (32 - 1)
T32 = 15.6 - 18.6
T32 = - 3
Let x be the number of rolls of wallpaper that you can buy to decorate your kitchen. Since each roll costs $10, the total cost for x rolls is 10x. This value should be not be more than $50. The inequality that is best described is
10x ≤ 50
Solving for x gives an answer of x ≤ 5.
