Answer:
The answer is below
Step-by-step explanation:
N is inversely proportional to t, therefore:
N ∝ 1/t
Let k be the constant of proportionality, hence we can replace the relationship by:
N = k/t
Given that when t is 36, N is 176. Therefore we can find the value of k:
176 = k / 36
k = 176 * 36 = 6336
N = 6336/t
Also let us find N when t = 6. This is done by substituting t = 6 into the equation and simplifying:
N = 6336/6
N = 1056
P = 2(L + W)
L = W + 5
A = 4P + 2
P = 2(W + 5 + W)
P = 2(2W + 5)
P = 4W + 10
A = 4P + 2
A = 4(4W + 10) + 2
A = 16W + 42
A = L * W
A = W(W + 5)
A = W^2 + 5W
W^2 + 5W = 16W + 42
W^2 + 5W - 16W - 42 = 0
W^2 - 11W - 42 = 0
(W + 3)(W - 14) = 0
W - 14 = 0
W = 14 <==
L = W + 5
L = 14 + 5
L = 19 <==
P = 2(19 + 14)
P = 2(33)
P = 66
A = L * W
A = 19 * 14
A = 266
answer : length = 19, width = 14....perimeter = 66....area = 266
You have to formulate equations for this problem.
Let S = Science score
M = Math score
C =
Chemistry score
To illustrate the given:
0.9S = 0.75M
0.9S = 0.8C
You are given that Karen’s Math score is 96 marks. You have
to substitute the Math score to the first equation.
0.9S = 0.75(96)
0.9S = 72
S = 80
Therefore, Karen’s Science score is 80. Now, you have to
substitute the Science score to the second equation.
0.9(80) = 0.8C
0.8C = 72
C = 90
So, Karen’s Chemistry score is 90.
Therefore, the total score of the 3 subjects is 266 (96 + 80
+ 90).
Answer:
$\left(-4,-2\right)$ , $\left(4,-2\right)$ , $\left(4,4\right)$ , and $\left(-4,4\r the perimeter and the area of the secret chamber
Step-by-step explanation:
