Answer:
The highest score is 94.
Step-by-step explanation:
Let the highest score be denoted by, <em>A</em>, the lowest score be, <em>B</em> and the middle score be <em>X</em>.
Then,
A + X + B = 87 × 3 = 261 ...(i)
X + B = 83.5 × 2 = 167 ...(ii)
⇒ B = 167 - X ...(iii)
A + X = 89 × 2 = 178 ...(iv)
⇒ A = 178 - X ...(v)
Substitute (iii) and (v) in (i) and solve for <em>X</em> as follows:
A + X + B = 261
178 - X + X + 167 - X = 261
345 - X = 261
X = 84
Substitute the value of <em>X</em> in (iii) and solve for B as follows:
B = 167 - X
= 167 - 84
= 83
Substitute the value of <em>X</em> in (v) and solve for A as follows:
A = 178 - X
= 178 - 84
= 94
Thus, the highest score is 94.
Answer:
the 73rd term of the arithmetic sequence is -964.
Step-by-step explanation:
The common difference in this arithmetic sequence is 13. This is obtained by subtracting 28 from 41. The first term is a(1) = -28.
The arithmetic sequence formula is a(n) = a(1) + d(n - 1), where d is the common difference and -28 the first term.
Then, in this case, a(n) = -28 - 13(n - 1), and
a(73) = -28 - 13(73 - 1) = -964
Answer:
6
Step-by-step explanation:
3(2y+8)=60
distribute
6y+24=60
subtract 24
6y=36
divide by 6
y=6
Answer:
Slope = 0
Step-by-step explanation:
Slope =
Slope = = 0
Also, just by looking at these points you can determine that the slope is zero because the y value does not change between these points.
9514 1404 393
Answer:
- 14/9
- -3.6
- 5/4
- 11/2, 7/8, 5/18
Step-by-step explanation:
1. n = (11/6 -2/3)(4/3) = (7/6)(4/3) = 14/9
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2. x = (9.82 -28.18)/5.1 = -3.6
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3. y = 3/2 -1/4 = 5/4
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4a. t = 2(3 -1/4) = 11/2
4b. y = (1/5 +1/2)(5/4) = ((2+5)/10)(5/4) = 7/8
4c. x = (11/3 -2)/6 = (5/3)(1/6) = 5/18