Eli, Freda and Geoff were given ?800 to share in the ratio of their ages. Eli is 9 years old,Feda is 13 years old and Geoff is 1
2 answers:
Answer:
Share of Eli, Freda and Geoff will be $180, $260, $360 respectively.
Step-by-step explanation:
Eli, Freda and Geoff were given $800 to share in the ratio of their age.
Their ages were 9 years, 13 years and 18 years respectively.
Ratio of their ages will be 9 : 13 : 18
Now share of Eli will be =
=
= $180
Share of Freda will be =
= $260
Share of Geoff will be =
= $360
Therefore, share of Eli, Freda and Geoff will be $180, $260, $360 respectively.
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Answer:
(a) 7.5 seconds
(b) The horizontal distance the package travel during its descent is 1737.8 ft
Step-by-step explanation:
(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀
The initial height of the object s₀ = 900 feet
The initial vertical velocity of the object v₀ = 0 m/s
The time it takes the package to strike the ground is found as follows;
0 = -16·t² + 0×t + 900
900 = 16·t²
t² = 900/16 = 62.25
t = √62.25 = 7.5 seconds
(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have
158 miles/hour = 231.7126 ft/s
The horizontal distance the package covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place
The horizontal distance the package travel during its descent = 1737.8 ft.
To determine the system of inequality that has been graphed, we need to be very smart.
Observe that all the equations are the same.
Also note that all the lines are solid. This should tell you that the inequities should involve.
Therefore the answer is between option A and B.
So we choose a point in the solution region to discriminate between A and B.
Let us choose the origin since that is easy to evaluate.
We substitute into option A to get.
The above statements are false
We now substitute into option B
Both statements are true, therefore the correct answer is option B.