Answer:
Step-by-step explanation:
To find the gradient (slope) of the given <u>linear relation</u>, use <u>arithmetic operations</u> to isolate y:
Given relation:
Add 5x to both sides:
Divide both sides by 3:
<u>Slope-intercept form of a linear equation</u>
where:
- m is the slope (gradient)
- b is the y-intercept
Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.
Learn more about linear equations here:
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Answer: B = 1
Step-by-step explanation: The first step is to add 6 to both sides of the equation to get -2b = -2
You then divide both sides by negative 2 so you can get a positive
dividing both sides by negative 2 will leave you with 1b = 1
so
b = 1
Answer:
66.6% or 0.66
Step-by-step explanation:
82% or 0.82 of All households have cable TV.
X = The number of households in a group of 6, that have cable TV.
You wish to find the proportion or percentage of groups for which EXACTLY 4 of 6 households will have cable TV.
82% of 6 is = 4.92
Approximately 4.92 out of 6 households, have cable TV.
Using this figure, you can now find out what % of 6 will give you 4.
Cross multiply:
0.82 - 4.92
M - 4
M = (4×0.82) ÷ 4.92 = 3.28÷4.92 = 0.666
Hence, 66.6% of 6 households, have cable TV. In other words, exactly 4 households (X=4) have cable TV.
To test, you can find what 66% of 6 is. You will get 4.
The picture will now be 7.5 inches high by 18 inches wide.
Answer:
<em>The volume inside the giant sugar cube is 27 cubic feet.</em>
Step-by-step explanation:
It took 54 feet² of material to build the giant sugar cube. That means, the total surface area of the cube is 54 feet²
<u>Formula for surface area of a cube</u> is: 
, where 
is the length of each edge of the cube.
So, we will get.........
Now, <u>the volume of the cube will be</u>: 
feet³
Thus, the volume inside the giant sugar cube is 27 cubic feet.
