Answer:
B. -4.
Step-by-step explanation:
Answer: Part a) 375 pounds, Part b) 8 words
Step-by-step explanation:
a)
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Since n represents the number of words there are, we can plug in 20 for n into the equation to get:
C = 15*20 + 75 pounds
C = 300 + 75 pounds
C = 375 pounds
b)
Since C represents the cost of the advert, we can plug in 195 for C into the equation to get:
195 = 15n + 75
Subtract 75 from both sides:
120 = 15n
Divide both sides by 15:
n = 8 words
Answer:
C and E
Step-by-step explanation:
C and E are the correct answer
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
