The table gives the mass of liquids with a volume of 5 cm³.
1 answer:
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We'll use variables to represent the speeds of the eastbound and westbound trains.
x will represent the speed of the eastbound train.
y will represent the speed of the westbound train.
The eastbound train is 16 mph faster than the westbound train. An equation can be made from this:
Subtraction is used, because it represents the difference in distances between the two trains if they travel the same direction.
After 4 hours, the trains are 800 miles apart. An equation can be made from this:
Addition is used, because the trains are heading in opposite directions, which means their distances from the starting point are added together.
Set the two equations up vertically:
We will use elimination to solve for x.
Multiply the entire first equation by 4 so that the coefficients for y will be opposite numbers:
Combine the two equations together to cancel out y:
Divide both sides by 8 to get x by itself:
The speed of the eastbound train is 108 mph.
x will represent the speed of the eastbound train.
y will represent the speed of the westbound train.
The eastbound train is 16 mph faster than the westbound train. An equation can be made from this:
Subtraction is used, because it represents the difference in distances between the two trains if they travel the same direction.
After 4 hours, the trains are 800 miles apart. An equation can be made from this:
Addition is used, because the trains are heading in opposite directions, which means their distances from the starting point are added together.
Set the two equations up vertically:
We will use elimination to solve for x.
Multiply the entire first equation by 4 so that the coefficients for y will be opposite numbers:
Combine the two equations together to cancel out y:
Divide both sides by 8 to get x by itself:
The speed of the eastbound train is 108 mph.
Answer:
Chiara has 2 penny coins and 24 nickel coins
Step-by-step explanation:
Let
p ----> the number of penny coins
n ---> the number of nickel coins
Remember that
Chiara has 26 coins that equal 34 cents
so
isolate the variable x
----> equation A
34 cents=$0.34
Multiply by 100 both sides
isolate the variable x
-----> equation B
Create a table to guess
assume different values of n and determine the value of p in equation A and equation B
The solution is when the value of p in the equation A must be equal to the value of p in equation B
1) For n=1
equation A
equation B
2) For n=2
equation A
equation B
therefore
The solution is (2,24)
Chiara has 2 penny coins and 24 nickel coins