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IceJOKER [234]
3 years ago
6

Someone to help me with these math problems please !!!

Mathematics
1 answer:
ser-zykov [4K]3 years ago
3 0

Answer:

square tables

round tables

12

Step-by-step explanation:

is this really that difficult ?

just think logically.

a square table sits 8 people. that means every square table "stands" for 8 people present.

a round table sits 6 people. so, every round table "stands" for 6 people present.

now, the whole party has 150 people.

that means the sum of all people on all tables is 150.

so, if we count all square tables, we know how many people are sitting at square tables, as each table "stands" for 8 people (we multiply the number of square tables by 8).

similar for the round tables.

so, we say we have x square tables and y round tables.

therefore the equation is

150 = 8×x + 6×y

the variable with the factor 8 must be describing the square tables (due to the reasons above).

that is x.

and the variable with the factor 6 must describe the round tables.

that is y.

now we are told that there are 9 round tables (y=9).

using the equation from above

150 = 8×x + 6×9 = 8×x + 54

96 = 8×x

x = 12

so, we must have 12 square tables to satisfy the condition that we have in total 150 people present.

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A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is
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Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s

Using Pythagoras rule to determine the relationship between these values, we have:

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From the question;

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3 years ago
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