When we substitute a specific valuefor each variable, and then perform the operations, it's called evaluating theexpression. Let's evaluate theexpression 3y + 2y when 5 = y. Click on the steps to see how it's done. Perform the operations, to find the value of the expression.
➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.
➻ The required number of people who can speak both English and Spanish .
<u>Consider</u> ,
➻ A → Set of people who speak English.
➻ B → Set of people who speak Spanish
➻ A∩B → Set of people who can speak both English and Spanish
➻ n(A∪B) = n(A) + n (B) - n(A∩B)
➻ 40 = 27 + 25 - n (A∩B)
➻ 40 = 52 - n (A∩B)
➻ n (A∩B) = 52 - 40
➻ ∴ n (A∩B) = 12
∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>
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➻ n(A∪B) = n(A) + n (B) - n(A∩B)
➻ 40 = 27 + 25 - 12
➻ 40 = 52 - 12
➻ 40 = 40
➻ ∴ L.H.S = R.H.S
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Answer:
Step-by-step explanation:
100%-54%=46%
46%*25.6m=11,776,000
25,600,000+11,776,000=
37,376,000 Answer
Answer:
P = -2600/3 t + 25600/3
P = -8200/3
Step-by-step explanation:
t is the time in years since 1990, so two points on the line are (5, 4200) and (8, 1600).
Using the points to find the slope:
m = (y₂ − y₁) / (x₂ − x₁)
m = (1600 − 4200) / (8 − 5)
m = -2600/3
Now writing the equation in point-slope form:
P − 4200 = -2600/3 (t − 5)
Converting to slope-intercept form:
P − 4200 = -2600/3 t + 13000/3
P = -2600/3 t + 25600/3
In 2003, t = 13:
P = -2600/3 (13) + 25600/3
P = -8200/3