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juin [17]
2 years ago
11

-2/3x+7(3/7-3/7x) -12 divided by 6*3

Mathematics
1 answer:
Anna71 [15]2 years ago
5 0

Answer:

x = (-27)/11

Step-by-step explanation:

Solve for x:

(-11 x)/54 - 1/2 = 0

Put each term in (-11 x)/54 - 1/2 over the common denominator 54: (-11 x)/54 - 1/2 = (-27)/54 - (11 x)/54:

(-27)/54 - (11 x)/54 = 0

(-27)/54 - (11 x)/54 = (-11 x - 27)/54:

(-11 x - 27)/54 = 0

Multiply both sides of (-11 x - 27)/54 = 0 by 54:

(54 (-11 x - 27))/54 = 54×0

(54 (-11 x - 27))/54 = 54/54×(-11 x - 27) = -11 x - 27:

-11 x - 27 = 54×0

0×54 = 0:

-11 x - 27 = 0

Add 27 to both sides:

(27 - 27) - 11 x = 27

27 - 27 = 0:

-11 x = 27

Divide both sides of -11 x = 27 by -11:

(-11 x)/(-11) = 27/(-11)

(-11)/(-11) = 1:

x = 27/(-11)

Multiply numerator and denominator of 27/(-11) by -1:

Answer:x = (-27)/11

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In 2007, there were 31 laptops
abruzzese [7]

Answer:

l=31+20(y-2007)

where l is the number of laptops, and y is the year.

in 2017: l=231

Step-by-step explanation:

I will define the variable x as the number of years that passed since 2007.

Since the school buys 20 lapts each year, after a number x of years, the school will have

20*x more laptops.

and thus, since the school starts with 31 laptops, the equation to model this situation is

l=31+20*x

where l is the number of laptops.

since x is the number of years that have passed since 2007, it can be represented like this:

x=y-2007

where y can be any year, so the equation to model the situation using the year:

l=31+20(y-2007)

and this way we can find the number of laptos at the end of 2017:

y=2017

and

l=31+20(y-2007)

l=31+20(2017-2007)\\l=31+20(10)\\l=31+200\\l=231

3 0
3 years ago
Martin is seating people in the cars of a roller coaster. Each car can seat 8 people. Six of the roller coaster cars are yellow
Mamont248 [21]

Answer:

The probability is 2/5

Step-by-step explanation:

Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car

The number of cars to select from is 6 + 9 = 15 cars

The number of yellow cars is 6

So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5

5 0
2 years ago
Kerry's saving account has balance of $372 for grandmother is going to give her a birthday check was 1/4 of her savings parents
igor_vitrenko [27]

Answer:

Step-by-step explanation:

372 + 1/4*372 = $465

$465 is her new savings and 33% of it is $153.45

$465 + $153.45 = $618.45

So yes she would have enough money to buy a plane ticket to alaska the cost $600

6 0
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Barney has 14 dimes and quarters worth $2.15. write the system of equations
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Answer: 14 dimes and 3 quarters

Step-by-step explanation:

14x10=140+25=165+25=190+25=215 aka $2.15 meaning that there is 14 dimes and 3 quarters

5 0
3 years ago
Last year, Tim rode his bike a total of 50 3/8 miles. This year, he rode his bike a total of 258 3/4 miles. Which of the followi
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Answer:

D

Step-by-step explanation:

7 0
2 years ago
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