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77julia77 [94]
3 years ago
5

1 + 2k = 5k + 7 I got k=2 don't know if it's the right answer ?

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
You are close, but it is not the correct answer.

1 + 2k = 5k + 7

First, since we are trying to get the variable by itself, we need to move all things to one side. Let's subtract 1 from each side. 
2k = 5k + 7 - 1

Second, we can now subtract (7 - 1) to get 6. Let's add that into our problem and then subtract 5 from each side, still trying to get the variable by itself.
2k - 5k = 6

Third, subtract (2k - 5k) to get -3k. Hint the negative symbol now. If the problem were switched the other way, it would still be a positive. 
-3k = 6

Fourth, we can now divide each side by -3. This results in a fraction and also getting the variable by itself on one side of the problem. Remember the negative sign in front of the fraction since (-3) carried it.
k = - \frac{6}{3}

Fifth, this is our last step. We need to simplify the fraction. Since out fraction is 6/3, which number multiples by 3 to get the answer of 6? The answer is 2, since (3 × 2 = 6). Don't forget the negative!
k = -2

Answer: \fbox {k = -2}
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How do you write 16x-3y=3 in slope intercept form
serg [7]
Y=16/3 x -1

First, you minus both sides by 16x. This will get you -3y = 3 - 16x

Then, you divide both sides by -3. Hence on the right hand side you will get 3 - 16x over -3, which can be split into (-16x/-3) + (3/-3). By simplifying this you can get 16/3 x - 1.
6 0
3 years ago
Read 2 more answers
A melting spherical block of ice has its surface area changing at the rate of 24 inch2 /sec at the time the radius is 3 inches.
emmainna [20.7K]
The surface area of the sphere is:
 A = 4 * pi * r ^ 2
 Deriving we have:
 A '= 8 * pi * r * r'
 We clear the speed:
 r '= A' / (8 * pi * r)
 Substituting values:
 r '= 24 / (8 * pi * 3)
 r '= 1 / pi inch / sec
 Then, the volume of the sphere is:
 V = (4/3) * (pi) * (r ^ 3)
 Deriving we have:
 V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
 Substituting values:
 V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
 Rewriting:
 V '= (4) * (9)
 V '= 36 inch3 / sec
 Answer:
 
the volume of the ice is changing at 36 inch3 / sec at that moment
4 0
3 years ago
Which fraction is larger 1/2 or 3/4
GrogVix [38]
1/2 is equivalent to 50%
3/4 is equivalent to 75%

75% > 50% (75% is larger than 50%)
75% = 3/4

The answer is 3/4
Hope the answer helps :)
4 0
4 years ago
Read 2 more answers
3x - 5y = 14 and – 2x + 2y = 0
zubka84 [21]

Answer:

x=5.6

y=-5.6

Step-by-step explanation:

3x - 5y = 14 Equation 1

– 2x + 2y = 0 Equation 2

Simultaneous equation can be solved either through elimination method or substitution method. But we use elimination method for this question

Multiply equation 1 by -2 (the coefficient of x in equation 2) and multiply equation 2 with 3 (the coefficient of x in equation 1), so that x will have the same coefficient in the new equations, and easy to eliminate

-2(3x - 5y = 14)

-6x+10y=-28 Equation 3

3(– 2x + 2y = 0)

-6x+6y=0 Equation 4

Subtract equation 4 from 3 to eliminate x

-6x+10y=-28

-6x+6y=0

-6x-(-6x)=-6x+6x=0

10y-6y=5y

-28-0=-28

5y=-28

y=-28/5

y=-5.6

Substitute for y in equation 2

– 2x + 2y = 0

– 2x + 2(-5.6) = 0

-2x-11.2=0

-2x=11.2

x=-11.2/2

x=5.6

7 0
3 years ago
a cone has a radius of 1.2 inches and a height of 2.9 inches. What is the volume, to the nearest tenth of cubic inch, of the con
natita [175]
12.9986 would be the answer from a calculator but I'd say it's 12.9. Hope this helped!
8 0
3 years ago
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