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MissTica
3 years ago
12

1. Expand to write an equivalent expression: − 12 (− 2 + 4)

Mathematics
1 answer:
ddd [48]3 years ago
7 0

i dont knowwhhshehehehsh

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In this fulcrum, for the weights to be balance, what do the distances d1 and d2 have to be if the overall length is 12 feet?
mel-nik [20]
For the fulcrum to balance, the product of weight and distance on both sides of the fulcrum must be the same.

Let d1= x. since total distance is 12, we can write d2 = 12 - x

for the fulcrum to balance:

60x = 50(12 - x)

60x = 600 - 50x

110x = 600

x = 5.45

Thus, d1= 5.45
and
d2= 12 - d1 = 12 - 5.45 = 6.55

d1 = 5.45
d2 = 6.55
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3 years ago
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8 0
3 years ago
2x+y=8<br> x+y=4<br> Where do they intersect at?
Roman55 [17]

Answer:

{ \bf{2x + y = 8 -  -  - (a)}} \\ { \bf{x + y = 4 -  -  - (b)}} \\ a - b :  \\ x = 4 \\ 4 + y = 4 \\ y = 0 \\ { \tt{they \: intersect \: at \: (4, \: 0)}}

5 0
3 years ago
6 people can sit together at 1 rectangular table l. If 2 tables aee placed together, 10 people can sit together. 14 people can s
lesya [120]

Solution:

we are given that

6 people can sit together at 1 rectangular table.

2 tables are placed together, 10 people can sit together.

14 people can sit if three tables are put together.

It mean we get a sequence

6,10,14..........

So its making an arithmetic progression, where

First term=a=6

Common difference=d=10-6=4

Number of terms=number of table=100

As we know the nth term is given by the formula

t_n=a+(n-1)d\\&#10;\\&#10;\text{Substitute the values}\\&#10;\\&#10;t_{100}=6+(100-1)\times4\\&#10;\\&#10;t_{100}=6+99 \times4\\&#10;\\&#10;t_{100}=6+396=402\\

Hence 402 people can sit.

4 0
3 years ago
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