Answer:
27/35 is the exact answer
7/10 is an estimate
Step-by-step explanation:
4/7+2/10
Simplify the fraction
4/7+1/5
The common denominator is 35
4/7*5/5 + 1/5 *7/7
20/35 + 7/35
27/35
To estimate
4/7 is close to 1/2
2/10 is close is 1/5
1/2 + 1/5 =
5/10 + 2/10 = 7/10
The lines on the triangles
Answer:
3,406.5 litres/hr
Step-by-step explanation:
The liquid is being poured at a rate of 15 gallons per minute.
1 minute = 1/60 hour
Thus, the rate can be written as:
15 gallons pet 1/60 hour
We are told that one gallon is approximately 3.785 liters.
Thus;
15 gallons = 15 × 3.785 litres = 56.775 litres.
Thus, the rate is;
56.775 litres per 1/60 hour
We want to find in litres/hr.
By proportion, we have it as;
(56.775 ÷ 1/60)/1 = 56.775 × 60 = 3,406.5 litres/hr
Answer:
Step-by-step explanation:
yea
![4*e^{2x} -3 = 12](https://tex.z-dn.net/?f=%204%2Ae%5E%7B2x%7D%20-3%20%3D%2012%20)
Step 1:
Here we have -3 in subtraction on the left side, so when we take it to the right we apply opposite operation of subtraction that is addition.
![4*e^{2x} = 12+3](https://tex.z-dn.net/?f=%204%2Ae%5E%7B2x%7D%20%3D%2012%2B3%20)
![4*e^{2x} = 15](https://tex.z-dn.net/?f=%204%2Ae%5E%7B2x%7D%20%3D%2015%20)
Step 2:
Next we have 4 in multiplication on left side, so dividing right side by 4,
![e^{2x} = 15/4](https://tex.z-dn.net/?f=%20e%5E%7B2x%7D%20%3D%2015%2F4%20)
![e^{2x} = 3.75](https://tex.z-dn.net/?f=%20e%5E%7B2x%7D%20%3D%203.75%20)
Step 3:
taking log on both sides
![ln ( e^{2x}) = ln(3.75)](https://tex.z-dn.net/?f=%20ln%20%28%20e%5E%7B2x%7D%29%20%3D%20ln%283.75%29%20)
![{2x} =ln 3.75](https://tex.z-dn.net/?f=%20%7B2x%7D%20%3Dln%203.75%20)
Step 4:
Dividing right side by 2,
x= ln (3.75) /2 = 0.66088
Answer : x = 0.66088..