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svp [43]
2 years ago
7

4 (k - 6) = 6 (-4 - 5k) a) 10 b) 0 c) -2 d) 8

Mathematics
1 answer:
user100 [1]2 years ago
3 0

Step-by-step explanation:

step 1. what is the question? solve for k? okay.

step 2. 4(k - 6) = 6(-4 - 5k)

step 3. 4k - 24 = -24 - 30k

step 4. 34k = 0

step 5. k = 0.

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Bill wants to make 10Lcof a 30% saline solution by mixing together a 60% saline solution and a 10% saline solution. How much of
erastovalidia [21]

10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of  10 % saline solution.

Step-by-step explanation:

Let x be the number of liters of 60% saline solution

Now we require 10 L of 30% saline solution.

Liter soln %  liters  saline %  

30 %                 10        0.3  

60 %                   x        0.6

10 %                  10-x      0.1

Now forming the algebraic equation,

0.6x + 0.1 (10-x) = 10 (0.3)

0.6x + 1 - 0.1 x  = 3

0.5 x = 2

x = 4 ( 4 l of 60 % solution is required. So 10 % saline solution required is 10 - 4 = 6 L).

Hence, 10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of  10 % saline solution.

6 0
3 years ago
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A theater received $8,917 in ticket sales for one performance of a play. Tickets for preferred seats cost $45 each and regular s
Sever21 [200]
1530. Multiply 45x34 and you get the answer!!
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3 years ago
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Help Please! △ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle
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8 0
2 years ago
7) Solve the following system of equations below algebraically using substitution.
Pani-rosa [81]

Answer:

x = 3.25

y =4.75

Step-by-step explanation:

In order to Solve the following system of equations below algebraically using substitution method we say that;

let;

8x - 4y = 7 ..................... equation 1

x + y = 8.......................... equation 2

from equation2

x + y = 8.......................... equation 2

x = 8 - y.............................. equation 3

substitute for x in equation 1

8x - 4y = 7 ..................... equation 1

8(8-y) - 4y = 7

64-8y-4y=7

64-12y=7

collect the like terms

64-7 = 12y

57= 12y

divide both sides by the coefficient of y which is 12

57/12 = 12y/12

4.75 = y

y =4.75

put y = 4.75 in equation 3

x = 8 - y.............................. equation 3

x = 8 -4.75

x = 3.25

to check if your answer is correct, put the value of x and y in either equation 1 or 2

from equation 2

x + y = 8.......................... equation 2

3.25 + 4.75 =8

8=8.................... proved

8 0
3 years ago
If 24 = 3 • 2× then x =
lidiya [134]

Answer:

4

Step-by-step explanation:

3x2=6

6 times what gives 24?

6x4=24

So x=4

7 0
2 years ago
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