Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio.
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔
Cross multiply
Divide both sides by 2 to make EH the subject of formula
The length of side EH = 12 m
Step-by-step explanation:
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?
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You have two points relating fuel and weight.
(15,2187) and (35,2303)
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slope = (2303-2187)/(35-15) = 5.8
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intercept = ?
2187 = 5.8*15 + b
b = 2100
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Equation:
f(x) = 5.8x + 2100
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f(50) = 2390 lbs.
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Answer:
Option D
Step-by-step explanation:
We have the following variable definitions:
sofas: x
pillows: y
Pillows come in pairs so we have 2y pillows
The total order for all the possible combinations is:
The wholesaler requires a minimum of 4 items in each order from its retail customers. This means the retailers can order 4 or more.
Therefore the inequality is:
To graph this inequality, we graph the corresponding linear equation, 
with a solid line and shade above.
The correct choice is D
See attachment
There are 24 hours in a day. For 7 days there will be 168 hours in total. Divide this number of hours by 6 to determine the number of times that the patient would have to take tablets.
(168 / 6) = 28 times
Each time, the patient is to take 2 tablets. Therefore, the number of tables for this prescription is 56.
