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joja [24]
3 years ago
13

A number is decreased by 3 and then the result is doubled. if the new result is 6 more than half the original number, what is th

e value of the original number?
Mathematics
1 answer:
Blizzard [7]3 years ago
6 0
The answer is:  " 8 " .
________________________________
Explanation: 
________________________________
Let "x" represent the "original number".

2(x - 3) = 6 + (1/2)x ;  Solve for "x" ;
______________________________________
Multiple the ENTIRE EQUATION (both sides) by "2" ; to get rid of the fraction:

2*{2(x - 3) = 6 + (1/2)x} ; 

to get:

4(x - 3) = 12 + x ; 
___________________________
  Let us expand the "left-hand side" of the equation:
_____________________________________________
Note the "distributive property of multiplication" :
_____________________________________________
        a(b - c) = ab -  ac ; 
        
        a(b +c) = ab + ac ;
______________________________________________
So;  "4(x - 3)" = 4*x - 4*3 = 4x - 12 ; 
______________________________________________
Rewrite the equation:
_______________________________________________
  4x - 12 = 12 + x ;

Subtract "x" from EACH side of the equation; and Add "12" to EACH SIDE OF THE EQUATION; 
______________________________________________
  4x - 12 - x + 12 = 12 + x - x + 12 ;

to get:
______________________________________________
     3x = 24 ; 
_____________________________________________
Now, divide EACH side of the equation by "3" ; to isolate "x" on one side of the equation; and to solve for "x" ;
_____________________________________________
    3x/3 = 24/3 ; 
_____________________________________________
      x = 8 .
_____________________________________________
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Xy has 10 pets: 4 dogs, 3 cats, 2 alpacas and 1 bunny. If he wants to arrange them in a row and make sure the pets are always gr
Anastaziya [24]

The number of ways pets can be arranged in group according to the species is  in a row 288 ways.

Pets can be grouped by permutation concept as follows.

Total number of pets = 10

Number of dogs = 4

Number of cats = 3

Number of alpacas = 2

Number of bunny = 1

The number of ways pets can be arranged in group according to the species in a row as,

⇒ (4!)(3!)(2!)(1!)

⇒ (24)(6)(2)(1)

⇒ 288

Hence we can conclude that the number of ways pets can be arranged in group according to the species in a row is 288 ways.

Learn more about permutation here

brainly.com/question/22444718

#SPJ4

8 0
2 years ago
James has 861 feet of rope. There are 14 teams of hikers.
IceJOKER [234]

Answer:

61.5 Feet of Rope

Step-by-step explanation:

Divide the rope length, 861 feet, by 14 people.

5 0
3 years ago
What integer does the arrow indicate?
Vsevolod [243]

Answer:

-9

Step-by-step explanation:

Given

See attachment for number line

Required

What does the arrow integer

Represent the value of the arrow with x.

The arrow is on number -9.

This number is what the arrow represents.

Hence:

x = -9

8 0
3 years ago
Help pls i don not get it
ss7ja [257]
The answer is 7 hope this helps
3 0
2 years ago
15 trucks can carry 26,850 kg weight. Find the weight carried by one truck.
nadya68 [22]

\huge\underline{\underline{\boxed{\color{blueviolet}{ANSWER}}}}

★ 15 trucks can carry 26,850 kg weight

★ We've to find the weight carried by one truck

\huge \pink {\overline{ \quad \quad \quad \quad \quad \quad \quad\quad \quad}}

\sf{Number  \: of \:  trucks = 15 }

\sf{Weight  \: carried  \: by  \: one \:  truck = \frac{26,850Kg}{15} }

\sf  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:                  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:= 1790Kg

Therefore , the weight carried by one truck is 1790 kg

7 0
2 years ago
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