The car travelled a distance of 36.15 miles in 1 hour. The car travelled a distance of 12.05 miles in 1 gallon of gas.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
It is given that a car traveled at a constant speed for 4 hours and covered 144.6 miles and also it used 12 gallons of gas to travel this distance.
It took 4 hours to travel a distance of 144.6 miles.
For 1 hour at constant speed, the car will travel 144.6/4 miles .
∴ For 1 hour at constant speed the car travels 36.15 miles.
For 12 gallons of gas, the car travels 144.6 miles.
For 1 gallon of gas, the car travels 144.6/12 = 12.05 miles
∴ For 1 gallon of gas, the car travels 12.05 miles.
Thus the car travelled a distance of 36.15 miles in 1 hour. The car travelled a distance of 12.05 miles in 1 gallon of gas.
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We can see here that when we work out the volume of the prism using base area of 10 cm² and height of 15 cm, the volume of the prism we getis 150 cm³.
A prism is a three-dimensional geometric shape that has two congruent and parallel polygonal bases connected by a set of parallelograms or rectangles called lateral faces. The bases of a prism are always polygons, and the lateral faces are always rectangles. The lateral edges of a prism connect corresponding vertices of the bases.
To find the volume of a prism, you can multiply the base area by the height. In this case, the base area is given as 10 cm² and the height is 15 cm.
Volume of the prism = Base area × Height
Volume = 10 cm² × 15 cm
Volume = 150 cm³
Therefore, the volume of the prism is 150 cubic centimeters (cm³).
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-4=-1b-(1/3)b
-4=-(4/3)b
-4/-(4/3)=b
b=3
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(1/2)3+(5/3)2
3/6+10/6=13/6
-23/3=13/6a
(-23/3)/(13/6)=a
a=-46/13