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:
Im positive that u wrote the formula wrong, theres no dot on a formula. What I understand on how to count each molecules is by the following
1) The coefficient in front of the molecules serves a type of multiplier, lets say 3 CO2, you take the 3 and multiply to each atom, so it would be 3 C and with O you do 3x2 cause 2 oxygen atom and it would become 6 O.
2) For the bracket lets say (CH3)2, Its the same thing as coefficient, the subscript 2 serves as a mulitplier, so there would br 2 C and 6 H
3) What happens if you have both the coefficient and subscript. Well, lets take an example of 2(NH3)2, you multiply everything together. So by doing the example, N would be 2 x 1( because theres 1 N) x 2( this being the subscript), which would be 4 N. For H, its 2 x 3(Because theres 3 H atoms) x 2(this being the subscript), which is equals to 12 H atoms.
Hope I didnt confuse you that much and asnwered your questipn, good luck in your future test. : )
What a problem! We know that the largest digit is 8,000, and the smallest is 0.01. The number is 8,_ _ _._1. If the tens is 2 less than the hundreds digit, then if we make the hundreds digit x, the tens are x-2. The tens digit plus the hundreds digit is the thousands digit, so x+(x-2)=8. Let's solve: x+(x-2)=8. Eliminate parentheses: x+x-2=8. Use inverse operations:x+x-2+2=8+2. x+x=10. Combine terms: x+x=2x. 2x=10. Divide: 2x/2=10/2. x=5.
So the hundreds digit, x, is 5. And the tens are x-2: 5-2=3. The number is 8,53_._1. And what's the only number that means the same, no matter what place value you put it in? 0! This is the tenths place: 8,53_.01. The remaining digit is the ones. The largest one-digit even number is 8, so our number is 8,538.01!
Answer: 8,538.01
Answer:
13 units
Step-by-step explanation:
The legs of an isosceles trapezoid are congruent, then
x + 8 = 48 - 7x ( add 7x to both sides )
8x + 8 = 48 ( subtract 8 from both sides )
8x = 40 ( divide both sides by 8 )
x = 5
Then
leg = x + 8 = 5 + 8 = 13
Answer: 16⅔ yds by 25 yds
Step-by-step explanation:
Let x be the length of 3 fence sections
Let y be the length of 2 fence sections
A = xy
3x + 2y = 100
y = 50 - 1.5x
A = x(50 - 1.5x) = 50x - 1.5x²
dA/dx = 50 - 3x
0 = 50 - 3x
3x = 50
x = 50/3 = 16⅔ yds
y = 50 - 1.5(16⅔) = 25 yds
