Answer:
1 batch
Step-by-step explanation:
Farah needs 4 and 4/5 pounds of tomatoes & and additional 5 and 3/5 pounds of tomatoes to make soup.
4.8 + 5.6 = 10.5 pounds per soup
10.5*2 = 21 > 20 pounds
Farah would need one more pound of tomatoes in order to make 2 batches of soup. Therefore she can only make 1 batch.
Answer:
See explanation
Step-by-step explanation:
Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.
For the first month, he needs to exercise at most five hours per week, then
Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.
Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.
Nando must burn at least 2,000 calories per week, so
You get the system of two inequalities:
The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.
Answer:
Step-by-step explanation:4log(5) = log(5^4) = log(625).
This problem involves using one of the properties of logs, where a coefficient (in this case the "4") for a logarithm equals the "inside of a logarithm" raised to power of whatever number the coefficient is.
The property in mathematical terms is: Alog(B) = log(B^A).
So, 4log(5)= log(5^4) = log(625)
The lines would go up and over at the same rate. They would have the same slope, like parallel lines.
Hope this helps!! :)