Answer:
OPTION B: K = 15
Step-by-step explanation:
The given equation is: 21 + 3x = 3x + K
Substitute K = 3x
we get: 21 = 3x + 3x + 3x
⇒ 21 + 3x = 6x
⇒ 21 = 3x
This gives the value of x = 7. That means K = 3x gives us a solution. So, OPTION A is eliminated.
Now, K = 15
The equation becomes 21 + 3x = 3x + 15
Subtracting 3x on both the sides, we get:
⇒ 21 + 3x - 3x = 15 + 3x - 3x
⇒ 21 = 15 which can not be correct. So, K = 15 renders the equation meaningless and hence with no solution.
So, OPTION B is the answer.
Note that K = 21 will give the equation with infinitely many solutions.
Answer:
Helmets-12
Baseballs-32
Step-by-step explanation:
Given the tax rate as 6% and the reduced prices as $2.25/baseball and $22.50/helmet and that the budget is $400:
The new prices are reduced price plus tax:

Let x be the number of groups of 8 baseballs as well as the number of groups of 3 helmets,therefore:

Substitute for x=4 to find the highest number of baseballs and helmets:
Helmets=4x3=12
Baseball=4x8=32
#Price cost will be 12x23.85+32x2.39=362.68 (balance=37.32)
Hence, Shaw can buy 12 helmets and 32 baseballs and still remain with $37.32
Answer:
$2,543.84 is your answer.
Step-by-step explanation:
What you do first is you have to figure out the 5.99% interest rate.
150 x 5.99 = 8.99
150 + 8.99 = $158.99
Now multiply that by 16
158.99 x 16 = $2,543.84 is your answer.
(-1,-3)
Graph the equation and locate the intersection.