<h3>The value of k is -3.6</h3>
<em><u>Solution:</u></em>
Given that, we have to solve
![\frac{1}{3}k -2k + 4 = 10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dk%20-2k%20%2B%204%20%3D%2010)
We have to find solution to given equation
From given,
![\frac{1}{3}k -2k + 4 = 10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dk%20-2k%20%2B%204%20%3D%2010)
Make the denominators same in right side of equation
![\frac{1}{3}k - \frac{2k \times 3}{1 \times 3} + \frac{4 \times 3}{1 \times 3} = 10\\\\Simplify\\\\\frac{1}{3}k - \frac{6k}{3} + \frac{12}{3} = 10\\\\\frac{k-6k + 12}{3} = 10\\\\Isolate\ for\ k\\\\k - 6k + 12 = 10 \times 3\\\\Combine\ the\ like\ terms\\\\-5k + 12 = 30\\\\-5k = 30 - 12\\\\-5k = 18\\\\Divide\ both\ sides\ by\ -5\\\\k = -3.6](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dk%20-%20%5Cfrac%7B2k%20%5Ctimes%203%7D%7B1%20%5Ctimes%203%7D%20%2B%20%5Cfrac%7B4%20%5Ctimes%203%7D%7B1%20%5Ctimes%203%7D%20%3D%2010%5C%5C%5C%5CSimplify%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7Dk%20-%20%5Cfrac%7B6k%7D%7B3%7D%20%2B%20%5Cfrac%7B12%7D%7B3%7D%20%3D%2010%5C%5C%5C%5C%5Cfrac%7Bk-6k%20%2B%2012%7D%7B3%7D%20%3D%2010%5C%5C%5C%5CIsolate%5C%20for%5C%20k%5C%5C%5C%5Ck%20-%206k%20%2B%2012%20%3D%2010%20%5Ctimes%203%5C%5C%5C%5CCombine%5C%20the%5C%20like%5C%20terms%5C%5C%5C%5C-5k%20%2B%2012%20%3D%2030%5C%5C%5C%5C-5k%20%3D%2030%20-%2012%5C%5C%5C%5C-5k%20%3D%2018%5C%5C%5C%5CDivide%5C%20both%5C%20sides%5C%20by%5C%20-5%5C%5C%5C%5Ck%20%3D%20-3.6)
Thus the value of k is -3.6
If
we are to study closely the given scenario, what we are to calculate or compute
for this item, is basically the least common multiple of the given numbers. To
find the unknown, we are to factor out the given numbers.
<span>Seven
(7) is a prime number while 9 can be factored out into 3x3. The answer to this
question is therefore, 9. Miranda has been to the store for at least 9 times. </span>
A possible solution to the inequality is 2 hotdogs and 8 tacos.
Let x represents the number of hotdogs purchased and y represents the number of tacos purchased.
Gabriella has $30 to spend and must buy a minimum of 9 hotdogs and tacos altogether.
Hence:
4x + 2y ≤ 30 (1)
x + y ≥ 9 (2)
Also:
x ≥ 2 (3)
A possible solution to the inequality is 2 hotdogs and 8 tacos.
Find out more on inequality at: brainly.com/question/241541
A#b=ab+a+b
Replace a with 2 and b with 5
2#5=2*5+2+5=17
Answer C