Answer:
18 terms
Step-by-step explanation:
The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...
an = 2 +5(n -1) = 5n -3
We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...
an = 4n +15
We can find n that makes this true by setting the 'an' values equal:
an = an
5n -3 = 4n +15
n = 18 . . . . . . . . . . add 3-4n
The number of terms in each sequence is 18.
_____
<em>Additional comment</em>
The last term in each sequence is 87.
Answer:
Up to 5 hours
Step-by-step explanation:
<u>Given:</u>
- One off fee = $46
- Hourly rent = $6.4 / hr
- Amount limitation= $78
<u>Equation to reflect the condition:</u>
- 78 = 46 + 6.4t
- 6.4t = 78 - 46
- 6.4t = 32
- t = 32/6.4
- t = 5 hours max
So, the meeting room can be rented for up to 5 hours with $78
Answer:
134°
Step-by-step explanation:
∠BAC = ∠BCA because it is an isosceles triangle
∠XCA = ∠XAC . Congruent angles
∠XAC = 1/2(46) = 23° . because CE bisects ∠ C
∠XCA = 23°
180° - 23° - 23° = 134° . Sum of all angles in a triangle is 180°
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Answer:
x = 2 1/6 (13/6)
Step-by-step explanation:
to solve the proportion you must first find the LCF or least common factor
that is 6
so turn 8/3 into 16/6 by multiplying it by 2/2
x + 3/6 = 16/6
then you subtract 3/6 from both sides
x = 13/6
x is 2 1/6
Answer:
30
Step-by-step explanation:
for every 1 fluid once it is 0.125 cup. So keep adding up and you will get to 240 and the amount will be 30.
