Answer:
5
Step-by-step explanation:
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:
-140
Step-by-step explanation:
a₀ = 3
a₁ = 3 - 13*1 = -10
a₂ = -10 + 13*2 = 16
a₃ = 16 - 13*4 = -36
a₄ = -36 + 13*8 = 68
<u>a₅</u> = 68 - 13*16 = <u>-140</u>
* a₀=3 n is integers and n ≥ 1
aₙ = aₙ₋₁ + (-1)ⁿ * 13 * (2)ⁿ⁻¹
Answer:
27
Step-by-step explanation:
Let T be the capacity of the tank.
Since the tank was 1/3 full and ends up 7/9 full.
T - T = 12
Simplifying the left side of the equation, tells us how much 12 gallons fills.
T = 12
Now we solve for T:
T = 12*9/4
T = 27