Answer:
Cesar goes 1 2\3 miles in an hour
Bella goes 1 1\3 miles in an hour
Cesar is hiking faster
Step-by-step explanation:
Cesar: you half 3 1\3 because you need to half the time of 2 hours to determine how far he goes in an hour. 3 1\3 halved is 1 2\3
Bella: You must multiply 1\3 4 times in order to get the 1\4 hour to a whole hour. 1\3 4 times is 1 1\3.
Speed: Cesar goes 1 2\3 mph while Bella goes only 1 1\3 therefore Cesar is going faster
Answer: B.
Y = 4x
Step-by-step explanation:
Given that the side of a shape is x
The perimeter of the shape is y
Perimeter of a rectangle can be expressed as:
P = 2L + 2W
Where L = length and W = width
But if the shape is a square, and the side of the shape is x, then, the perimeter will be
P = 4x
Where perimeter P = Y
Therefore, perimeter Y will be;
Y = 4x
Therefore, the correct answer is B which is:
Y = 4x
4x / 5 = 1 / 3 ( 2x - 15 )
4x / 5= ( 2x - 15 ) / 3
4x × 3 = 5 ( 2x - 15 )
12x = 10x - 75
12x - 10x = - 75
2x = - 75
x = - 75 / 2
x = - 37.5
Answer: 125,000 BTUs
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
A fuel tank has a volume of 36 gallons. When filled with biodiesel, it provides 4,500,000 BTUs
So, the proportion is:
36 gallons / 4,500,000 BTUs
For 1 gallon
1 gallon / x BTUs
36/4,500,000 = 1/x
Solving for x:
x = 1 / (36/4,500,000)
x = 125,000 BTUs
Feel free to ask for more if needed or if you did not understand something.