Assess which explanation on how to obtain the value of x in the equation 4/x=36/81 is reasonable.(1 point)
Responses
Reduce the second ratio by dividing both numbers by 9, and then multiplying the result by 4.
Reduce the second ratio by dividing both numbers by 9, and then multiplying the result by 4.
Divide 81 by 9 to obtain the value of x.
Divide 81 by 9 to obtain the value of x .
Divide 36 by 81, and then multiply by 4 to determine the value of x.
Divide 36 by 81, and then multiply by 4 to determine the value of x .
Multiply the numerators and denominators. Equate the product to calculate the value of x.
3 answers
The reasonable explanation to obtain the value of x in the equation 4/x=36/81 would be to reduce the second ratio by dividing both numbers by 9, and then multiplying the result by 4.
A vehicle requires 12 of a liter of gasoline to cover a distance of 7.5 kilometers (km). What distance can be covered with 2 liters?(1 point)
Responses
48 km
48 km
60 km
60 km
15 km
15 km
30 km
Responses
48 km
48 km
60 km
60 km
15 km
15 km
30 km
To find the distance that can be covered with 2 liters of gasoline, we can set up a proportion:
Liters of Gasoline / Distance = 12 liters / 7.5 km
Simplifying the proportion:
2 liters / Distance = 12 liters / 7.5 km
Cross-multiplying:
2 liters * 7.5 km = 12 liters * Distance
15 km = 12 liters * Distance
Dividing both sides of the equation by 12 liters:
15 km / 12 liters = Distance
Distance = 1.25 km
Therefore, the distance that can be covered with 2 liters of gasoline is 1.25 km.
Liters of Gasoline / Distance = 12 liters / 7.5 km
Simplifying the proportion:
2 liters / Distance = 12 liters / 7.5 km
Cross-multiplying:
2 liters * 7.5 km = 12 liters * Distance
15 km = 12 liters * Distance
Dividing both sides of the equation by 12 liters:
15 km / 12 liters = Distance
Distance = 1.25 km
Therefore, the distance that can be covered with 2 liters of gasoline is 1.25 km.
3 answers