Answer:
![\textbf{Fraction of gauge filled = }\bf\frac{8}{15}](https://tex.z-dn.net/?f=%5Ctextbf%7BFraction%20of%20gauge%20filled%20%3D%20%7D%5Cbf%5Cfrac%7B8%7D%7B15%7D)
Step-by-step explanation:
This equation does not represent the situation because to find the fraction of the rain gauge we need to : divide the fraction of gauge filled by the raining fraction of an hour
But, Diego wrote the incorrect division equation so, it does not represent the current situation.
Now, to find the required division and multiplication equations :
![\frac{3}{4}\text{ fraction of an hour = }\frac{3}{4}\times 60=\text{ 45 minutes}\\\\\text{ Now, the rain continues to rain for 15 minutes more}\\\implies \text{The total raining time = 45 + 15 = 60 minutes}\\\\\text{So, we need to find the fraction of gauge filled in 60 minutes}\\\\\text{Fraction of gauge filled in 45 minute = }\frac{2}{5}\\\\\text{Fraction of gauge filled in 1 minute = }\frac{\frac{2}{5}}{45}=\frac{2}{5\times 45}\\\\\text{Fraction of gauge filled in 60 minutes = }\frac{2}{5\times 45}\times 60=\bf\frac{8}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5Ctext%7B%20fraction%20of%20an%20hour%20%3D%20%7D%5Cfrac%7B3%7D%7B4%7D%5Ctimes%2060%3D%5Ctext%7B%2045%20minutes%7D%5C%5C%5C%5C%5Ctext%7B%20Now%2C%20the%20rain%20continues%20to%20rain%20for%2015%20minutes%20more%7D%5C%5C%5Cimplies%20%5Ctext%7BThe%20total%20raining%20time%20%3D%2045%20%2B%2015%20%3D%2060%20minutes%7D%5C%5C%5C%5C%5Ctext%7BSo%2C%20we%20need%20to%20find%20the%20fraction%20of%20gauge%20filled%20in%2060%20minutes%7D%5C%5C%5C%5C%5Ctext%7BFraction%20of%20gauge%20filled%20in%2045%20minute%20%3D%20%7D%5Cfrac%7B2%7D%7B5%7D%5C%5C%5C%5C%5Ctext%7BFraction%20of%20gauge%20filled%20in%201%20minute%20%3D%20%7D%5Cfrac%7B%5Cfrac%7B2%7D%7B5%7D%7D%7B45%7D%3D%5Cfrac%7B2%7D%7B5%5Ctimes%2045%7D%5C%5C%5C%5C%5Ctext%7BFraction%20of%20gauge%20filled%20in%2060%20minutes%20%3D%20%7D%5Cfrac%7B2%7D%7B5%5Ctimes%2045%7D%5Ctimes%2060%3D%5Cbf%5Cfrac%7B8%7D%7B15%7D)
![\text{Division equation = }\frac{\text{fraction of gauge filled}}{\text{raining fraction of an hour}}\\\\\textbf{Division Equation : }\frac{\frac{2}{5}}{\frac{3}{4}}=\frac{2}{5}\times \frac{4}{3}=\frac{8}{15}\\\\\text{Multiplication Equation = Fraction of gauge filled in 1 minute × 60}\\\\\textbf{Multiplicatiuon Equation : }\frac{2}{225}\times 60=\frac{8}{15}](https://tex.z-dn.net/?f=%5Ctext%7BDivision%20equation%20%3D%20%7D%5Cfrac%7B%5Ctext%7Bfraction%20of%20gauge%20filled%7D%7D%7B%5Ctext%7Braining%20fraction%20of%20an%20hour%7D%7D%5C%5C%5C%5C%5Ctextbf%7BDivision%20Equation%20%3A%20%7D%5Cfrac%7B%5Cfrac%7B2%7D%7B5%7D%7D%7B%5Cfrac%7B3%7D%7B4%7D%7D%3D%5Cfrac%7B2%7D%7B5%7D%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%3D%5Cfrac%7B8%7D%7B15%7D%5C%5C%5C%5C%5Ctext%7BMultiplication%20Equation%20%3D%20Fraction%20of%20gauge%20filled%20in%201%20minute%20%C3%97%2060%7D%5C%5C%5C%5C%5Ctextbf%7BMultiplicatiuon%20Equation%20%3A%20%7D%5Cfrac%7B2%7D%7B225%7D%5Ctimes%2060%3D%5Cfrac%7B8%7D%7B15%7D)
Answer:
540,000 cubic centimeters
Step-by-step explanation:
1 meter and 20 centimeters is equal to 120 centimeters.
![120 \times 90 \times 50 = 540000](https://tex.z-dn.net/?f=120%20%5Ctimes%2090%20%5Ctimes%2050%20%3D%20540000)
Answer:
A=368 miles
B= 356.3 miles
Step-by-step explanation:
Given data
Let the two trains be A and B
A+B=724.3----------1
A-B=11.7--------------2
From eqn 1
A= 724.3-B
put this in place of A in eqn 2
724.3-B-B= 11.7
724.3-2B= 11.7
724.3-11.7= 2B
712.6=2B
B= 712.6/2
B= 356.3 miles
Put B=356.3 in eqn 1
A+356.3=724.3----------1
A= 724.3-356.3
A=368 miles