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Darina [25.2K]
3 years ago
10

1/3(-12k+30)=6+15k Solve for k

Mathematics
2 answers:
almond37 [142]3 years ago
8 0

Answer: k = 4/9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Aneli [31]3 years ago
5 0

Answer:

k = 4/19

Step-by-step explanation:

1/3 (- 12k + 30) = 6 + 15k

- 12/3k + 30/3 = 6 + 15k

- 12/3k - 15k = 6 - 30/3

- 12/3k - 15/1k = 6/1 - 30/3

- 12/3k - 45/3k = 18/3 - 30/3

- 57/3k = - 12/3

- k = - 12/3 / 57/3

- k = - 12/3 * 3/57

- k = - 12/57

k = 12/57

k = 4/19

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Find the ratio in simplest form.<br> 30:6
Lunna [17]

Answer:

5:1

Step-by-step explanation:

30:6 divided by 6 is 5:1

6 0
3 years ago
What's the expression for the given value of the variable. 3x+5 when x=5
Pepsi [2]

1) Let's evaluate that expression

3x+5

2) Since the value of x has been given, then let's plug that into the expression

3x+5

3(5) +5

15 +5

20

3) The answer is 20

8 0
1 year ago
Use the ditributive property for -8 (x / 3)
ioda
Greetings!

"Use the distributive property for -8 (x / 3).<span>"

The distribute property is used to simplify an expression/equation. This is done by multiplying the contents of the parenthesis by the number outside of bracket.

</span>-8 (x / 3)
=(-8*x / -8*3)
<span>Simplify.
</span>=(-8x/-24)


Hope this helps.
-Benjamin



4 0
3 years ago
a lottery game has balls numbered 1 through 21. what is the probability of selecting a ball with a prime number on it or a 10
Ronch [10]

Answer:

3/7

Step-by-step explanation:

The prime numbers that lie between 1 and 21 are 2,3,5,7,11,13,17, and 19. These 8 balls, plus the 10-ball comes to a total of 9 balls that could be picked out of the 21. Therefore, the probability of picking one of these balls is 9/21 or 3/7

6 0
4 years ago
Read 2 more answers
In a certain month, Mason spent 1/6 of his salary in the first three days and $800 in the following ten days and after that he w
Nesterboy [21]
<h3>Answer:   $2400</h3>

========================================================

Explanation:

x = Mason's salary in dollars for that month

x/6 = one-sixth of his salary

x/6+800 = total amount spent (the x/6 dollars and $800 combined)

In total, he spent half his salary. This means he spent x/2 dollars for the month overall.

Set the two items equal to one another. Solve for x.

x/6 + 800 = x/2

6(x/6 + 800) = 6*(x/2) ... see note at the bottom of the page

x+4800 = 3x

4800 = 3x-x

4800 = 2x

2x = 4800

x = 4800/2

x = 2400

His monthly salary is $2400

1/6 of this is (1/6)*2400 = 2400/6 = 400 dollars. Add on the $800 he also spent to get a total of 400+800 = 1200 dollars spent, which is exactly one half of the $2400. The answer is confirmed.

-------

Note: I multiplied both sides by 6 to clear out the fractions. The value 6 is the LCD in this case.

7 0
2 years ago
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