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Dimas [21]
3 years ago
14

On a map, 1 cm = 5 km. The distance between the shopping mall and the movie theater measures 6.7 cm. What is the actual distance

between the mall and movie theater?
Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

Answer:

33.5 km

Step-by-step explanation:

1/5 = 6.7/x

cross multiply and solve

5 × 6.7 = 33.5

Fynjy0 [20]3 years ago
6 0

Answer:

33.5 km

Step-by-step explanation:

If 1cm = 5km, then you multiply 6.7 by 5 to get distance, which would be 33.5 km.

(hope this helps :P)

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The line represented by the equation y=-3/2x is translated up 3 units.
kati45 [8]

Answer:

(0, 3)

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8 0
3 years ago
Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of
vesna_86 [32]

Answer:

m = 3 , n = 4

Step-by-step explanation:

<u>Using Section Formula.</u>

<u />If \ the \ line \ segment \ AB \ where  \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \  the \ points \  of \  P  \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}<u />

   Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b  = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x =  -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3<u />

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<u />

5 0
3 years ago
In a chess club the probability that Shaun will beat Mike is 3/8 .
romanna [79]

Answer:

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Step-by-step explanation:

Games are independent, so we find each separate probability, and multiply them.

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So 1 - \frac{3}{8} = \frac{8}{8} - \frac{3}{8} = \frac{5}{8} probability that Shaun loses.

The probability that Shaun will beat Tim is 5/7 .

So 1 - \frac{5}{7} = \frac{2}{7} probability that Shaun loses.

What is the probability that Shaun loses both games?

This is:

p = \frac{5}{8} \times \frac{2}{7} = \frac{5*2}{8*7} = \frac{10}{56} = 0.1786

\frac{10}{56} = 0.1786 probability that Shaun loses both games

3 0
3 years ago
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