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maksim [4K]
3 years ago
11

there are 60 tables in a restaurant, with 25% of them seating 2 people. The tables remaining seat 4 people. How many seats are t

here in the restaurant?
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0
Do 60*0.25 and that's 15. 15 tables seat 2 people. we can also confirm this by doing 15*4 which is 60 (the total amount of tables) since 25%*4=100. then we know the rest of them fit 4 and 60-15=45. Now we do (15*2) + (45*4). {one for the 2 seated tables and the other for the 4 seated ones.} 30+180=210 seats.
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Which of these points lies on the circle with the center (2,3) and radius 2?
yan [13]

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

Center = (2, 3)

radius = 2

Process

1.- Find the equation of the line

              (x - h)² + (y - k)² = r²

-Substitution

              (x - 2)² + (y - 3)² = 2²  

-Simplification

              (x - 2)² + (y - 3)² = 4

-Evaluate the points in the equation

A. (4, 3)

              (4 - 2)² + (3 - 3)² = 4

                   2² + 0 = 4

                           4 = 4     This point lies in the circle

B (-1, 0)

              (-1 - 2)² + (0 - 3)² = 4

                        -3² + (-3)² = 4

                          9 + 9 = 4   This point is not part of the circle

C. (1, 3)

              (1 - 2)² + (3 - 3)² = 4

                 (-1)² + (0)² = 4

                            1 = 4          This point is not part of the circle

D. (3, 4)

              (3 - 2)² + (4 - 3)² = 4

                     1² + 1² = 4

                            2 = 4          This point is not part of the circle

5 0
3 years ago
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3 0
3 years ago
Find the vertices of the following functions.<br> Y=4(x-2)(x-3)<br><br> Y=-4(x+2)^2 -5
Natalija [7]
1) 5/2 , -1
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8 0
3 years ago
What is the slope intercept form of 2x+y=8
sweet [91]
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7 0
3 years ago
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Given ADEF: ARST, find the scale factor
Deffense [45]

Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

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that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

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