The given number is not a solution of the equation i.e. the number is an inequality
<h3>How to determine the solution?</h3>
The equation is given as:
3x- 4 = 10
The number is given as:
5
This means that
x = 5
Substitute x = 5 in 3x- 4 = 10
3 * 5- 4 = 10
Evaluate the product
15- 4 = 10
Evaluate the difference
11 = 10
The above equation is not true i.e. the equation is actually an inequality
Hence, the given number is not a solution of the equation i.e. the number is an inequality
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Answer:
(4/7)÷ (3/-8). Division of fractions is the same as multiplying their reciprocals. So (4/7) x (-8/3). Now multiply the numerators together and denominators together (make sure you only use the negative sign once). (4 x -8) / (7 x 3) = -32/21
Answer:
Step-by-step explanation:
You'd do 80% times 32. You have to move the 80 to the left 2 times. then multiply.
Answer:
5in x 10in
Step-by-step explanation:
Solution:
1. You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.
2. For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:
L = (x - 2(1.5)) = x - 3
w = (2x - 2(1.5)) = 2x-3.
3. Now, we will set up and solve our geometric probability equation. The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%
(2x-3)*(x-3)/(2x^2) = .28
2x^2 - 9x + 9 = .56x^2
1.44x^2 - 9x + 9 = 0
4 . Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5. However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.
5. As a result, the dimensions of the rectangles are 5in x 10in.
