Answer:
the value of n that makes the equation have no solution is n = 2.
Step-by-step explanation:
To find the value of n that makes the equation have no solution, we can start by rearranging the equation in terms of x:
2x + 2 = nx - 3
Let's simplify the equation by combining like terms:
2x + 2 = nx - 3
Moving all the x terms to the left side and the constant terms to the right side, we get:
2x - nx = -3 - 2
Factoring out x on the left side:
x(2 - n) = -5
For this equation to have no solution, the coefficient of x (2 - n) must equal zero. This is because if the coefficient is zero, any value for x would result in the left side of the equation being zero, which would not be equal to the constant term on the right side (-5).
Setting 2 - n = 0, we can solve for n:
2 - n = 0
Subtracting 2 from both sides:
-n = -2
Multiplying both sides by -1 to isolate n:
n = 2
Therefore, the value of n that makes the equation have no solution is n = 2.
the center and a point on the sphere
any two points on the sphere and contains the center
any two points on the sphere and does not contain the center
Answer: Third option is correct.
Step-by-step explanation:
The diameter of a sphere joins any two points on the sphere including the center as these three lines must be collinear.
Diameter of sphere divide the sphere into two equal parts.
And Diameter is the longest chord.
So, the diameter of a sphere joins any two points and contains the center.
Hence, third option is correct.
Answer:
To find two consecutive whole numbers between which √40 lies, we can calculate the square roots of consecutive whole numbers until we find the desired range.
Let's start by calculating the square roots of consecutive whole numbers:
√1 ≈ 1.00
√2 ≈ 1.41
√3 ≈ 1.73
√4 = 2.00
√5 ≈ 2.24
√6 ≈ 2.45
√7 ≈ 2.65
√8 ≈ 2.83
√9 = 3.00
√10 ≈ 3.16
√11 ≈ 3.32
√12 ≈ 3.46
√13 ≈ 3.61
√14 ≈ 3.74
√15 ≈ 3.87
√16 = 4.00
...
Continuing this process, we find that √40 lies between 6 and 7 because:
√36 = 6.00
√37 ≈ 6.08
√38 ≈ 6.16
√39 ≈ 6.24
√40 ≈ 6.32
√41 ≈ 6.40
√42 ≈ 6.48
...
Therefore, the two consecutive whole numbers between which √40 lies are 6 and 7.
Step-by-step explanation:
Answer:
$894.97 is needed more to break even
Step-by-step explanation:
In this question, we want to know how much money the pizza shop need so that their profits will equal their expenses.
Let’s calculate their profit
This can be calculated from the pizza sales
That would be;
61(3.06) + 89(1.42) = $186.66 + $126.38 = $313.04
Now, given that their bills for the first month is $1,208.01, the amount still needed to break even would be the amount of their bills minus the profit made from selling soda and pizza
That would be 1,208.01 - 313.04 = $894.97