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Effectus [21]
3 years ago
15

Out of the last 50 guests, only one of them break coupon for free admission to the carnival. if there are 1500 guests expected t

his weekend, how many can we expect will receive free admission?
a. 3b. 30c. 300d. 3000
Mathematics
1 answer:
ryzh [129]3 years ago
6 0
1/50 = x/1500

Cross multiply: 

50x = 1500(1)
50x = 1500
x = 1500/50
x = 30 people

Therefore, the answer is b as 30 people will receive free admissions. 
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Answer:

B(x_2,y_2)= (20,12)

Step-by-step explanation:

Given

A = (0,0)

Ratio; m : n = 1 : 3

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Required

Coordinates of B

This question will be answered using line ratio formula;

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

In this case:

(x,y) = (5,3)

(x_1,y_1) = (0,0)

m : n = 1 : 3

Solving for (x_2,y_2)

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n}) becomes

(5,3) =  (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})

(5,3) =  (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})

(5,3) =  (\frac{x_2}{4},\frac{y_2}{4})

Comparing the right hand side to the left;

\frac{x_2}{4} = 5 -- (1)

\frac{y_2}{4} = 3 -- (2)

Solving (1)

x_2 = 5 * 4

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Solving (2)

y_2 = 3 * 4

y_2 = 12

Hence;

B(x_2,y_2)= (20,12)

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3 years ago
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