FACTOR AND SHOW STEP BY STEOP PLEASE
Step-by-step explanation:
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Answer:
Given the equation:
shows the relationship between a planet's orbital period T and the planet's mean distance from the sun, A in Astronomical units
then:
For planet X:
Orbital period is:
.....[1]
As per the statement:
If planet Y is k times the mean distance from the sun as planet X.
⇒ A planet Y= kA mean distance from the sun as planet X.
then orbital period of Planet Y is:
....[2]
Divide equation [2] by [1] we have;
Simplify:
or
Therefore, the orbital period is increased by factor
The percent increase in sales of Iceberg lettuce is 140% .
Profit percentage are used to refer to the amount of profit that has been incurred in terms of percentage. It should also be stated that the profit percentage is one of the methods for comparing two quantities which the shopkeeper gets a profit.
It is given that Iceberg lettuce is grown and shipped to stores for about 30 cents a head and consumers purchase it for about 72 cents a head.
Thus cost price of the product is 30 cents whereas the selling price is 72 cents.
Therefore, profit incurred is = (72 - 30) = 42 cents.
Percent increase -
= (profit / cost price) * 100 %
= (42/30) * 100 %
= 140 %
Thus, the percent increase in sales of Iceberg lettuce is 140% .
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The given expression of inequality can be solved as h < -9.
Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The given inequality is as below,
9h + 2 < –79.
It can be solved as follows,
9h + 2 < –79
Subtract 2 from both sides to get,
9h + 2 - 2 < –79 - 2
⇒ 9h < -81
Divide by 9 on both sides as,
9h ÷ 9 < -81 ÷ 9
⇒ h < -9
Hence, the solution of the given inequality is h < -9.
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