Answer:
8(x/2) + 8(3/8) = 1(8)
8(x/2)..the two cancels out and you are left with 4x
8(3/8)..the 8 cancels and leaves with 3
1(8)=8
4x+3=8
Subtract the 3 from both sides to get the x term alone
4x=5
Divide both sides by x to get alone
x=5/4
Step-by-step explanation:
Answer: The conclusion is that all samples of the same size between 18% to 20% indicate that people living in a certain region use sunscreen regularly when going outdoors.
Explanation: Given percentage from the recent survey, the possible range is calculated as below:
All possible range : (19% ± 1% ) = (18%, 20%)
The polygons are similar.
This is because dividing the corresponding sides forms the same ratio, as shown by the three equations below
35/28 = 1.25
25/20 = 1.25
(15.5)/(12.4) = 1.25
So the larger figure on the right has side lengths that are 1.25 times larger compared to the corresponding sides of the figure on the left.
You'll need to flip the figure on the left so that the side labeled "20" is along the top, and the "28" is along the bottom.
After this flip happens, also note that the angle arc markings match up. The bottom pairs of angles of each figure are shown with a single arc, while the top angles are shown as double arcs. This helps visually show which angles pair up and are congruent to one another.
Because we have similar proportions as discussed earlier, and congruent pairs of angles like this, this shows the two figures are similar quadrilaterals. The one on the right is simply an enlarged scaled up copy of the figure on the left.
Answer: Rs. 5,033.30
Step-by-step explanation:
Total employees = 15 + 32 + 65 + 79 + 90 + 57 + 36 + 14 = 388
Median position = 388/2 = 194
Median therefore lies in range where cumulative employees is 194:
= 15 + 32 + 65 + 79 = 191
Median therefore lies in range after 4,000 - 4,999 which is 5,000 - 5,999.
Median = Lower limit of median range + range of median range * (median position - cumulative frequency up to median range) / frequency of median range
= 5,000 + 999 * (388/2 - 191)/90
= 5,000 + 33.3
= Rs. 5,033.30
There are no easy four steps in solving an equation. In fact it involves a lot of assessment and knowledge from the past and the current in order to make a solution for the problem. It is like solving a puzzle which may or may not contain what you already know. Here are a summarized four steps in solving an equation.
1) Clear out any fractions in the equation by multiplying each term by the highest common denominator to simplify the equation. Add or subtract other values to make it even more simplified.
2) If there is a common divisor in the equation, divide each term by the value to simplify it more.
3) Combine like terms by either cancelling or transposing terms. Factor out anything that can be factored (as long as it is simplified, the better)
4) Recognize a pattern and use different techniques, whether algebraic or trigonometric or other functions like squaring both sides.
You'll be able to find more ways along the journey so I hope this helped you get started!
