Let the lowest score be x.
<u>The 3 consecutive even scores are:</u>
1st score = x
2nd score = x + 2
3rd score = x + 4
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<u>Sum of their score is 270:</u>
x + (x + 2) + (x + 4) = 270
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<u>Solve x:</u>
x + (x + 2) + (x + 4) = 270
x + x + 2 + x + 4 = 270
3x + 6 = 270
3x = 264
x = 88
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<u>Find their scores:</u>
1st score = x = 88
2nd score = x + 2 = 88 + 2 = 90
3rd score = x + 4 = 88 + 4 = 92
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Answer: The scores are 88, 90 and 92
I believe the first answer is c
Answer:
n = 60.22
Step-by-step explanation:
Hello
To find Sn, we need to draw out equations for each a₇ and a₁₉
In an arithmetic progression,
Sn = a + (n-1)d
Where Sn = sum of the A.P
a = first term
d = common difference
a₇ = 32
32 = a + (7-1)d
32 = a + 6d ........equation (i)
a₁₉ = 140
140 = a + (19-1)d
140 = a + 18d .........equation (ii)
Solve equation (i) and (ii) simultaneously
From equation (i)
32 = a + 6d
Make a the subject of formula
a = 32 - 6d .....equation (iii)
Put equation (iii) into equation (ii)
140 = (32 - 6d) + 18d
140 = 32 - 6d + 18d
Collect like terms
140 - 32 = 12d
12d = 108
d = 108 / 12
d = 9
Put d = 9 in equation (i)
32 = a + 6(9)
32 = a + 54
a = 32 - 54
a = -22
When Sn = 511
Sn = a + (n - 1)d
Substitute and solve for n
511 = -22 + (n-1) × 9
511 = -22 + 9n - 9
511 = -31 + 9n
511 + 31 = 9n
542 = 9n
n = 542 / 9
n = 60.22
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
The parameter p calculates the portion of faculty members utilizing the iClikers throughout the classrooms.
Answer:
See Explanation
Step-by-step explanation:
Given
Solving (a): What does h represents
From the instruction in the question, we understand Cycle city charges an additional 0.75 per hour.
This implies that h represents the additional hour of rentals
Solving (b): What does 15 represents
From the instruction in the question, we understand Cycle city charges an a base charge of $15
This implies that 15 represents the base charge
Solving (c): 0.75h
Referring back to (a) where h represents the additional hour of rentals
0.75h represents the total charges for the additional hour
