Answer:
x = 6
, y = 4
Step-by-step explanation:
Solve the following system:
{x + y = 10
x - y = 2
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{x + y = 10
x - y = 2
Hint: | Solve for y.
Subtract x from both sides:
{y = 10 - x
x - y = 2
Hint: | Perform a substitution.
Substitute y = 10 - x into the second equation:
{y = 10 - x
2 x - 10 = 2
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{y = 10 - x
2 x - 10 = 2
Hint: | Isolate terms with x to the left hand side.
Add 10 to both sides:
{y = 10 - x
2 x = 12
Hint: | Solve for x.
Divide both sides by 2:
{y = 10 - x
x = 6
Hint: | Perform a back substitution.
Substitute x = 6 into the first equation:
{y = 4
x = 6
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 6
, y = 4
Answer:
D
Step-by-step explanation:
The minimum value is 18.55 and the maximum value is 18.64. When rounding to one decimal place, you must look at the number two places after the decimal. If this is bigger than 5 round up and lower than 4 round down.
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Answer:
Mason has
- 16 20¢ stamps;
- 25 3¢ stamps;
- 40 49¢ stamps.
Step-by-step explanation:
Let x be the number of 20¢ stamps, then the number of 3¢ stamps is x + 9.
Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.
Amounts:
- in 49¢:
cents; - in 20¢:
cents; - in 3¢:
cents.
Total amount:
- $23.55.
Hence,
Mason has
- 16 20¢ stamps;
- 25 3¢ stamps;
- 40 49¢ stamps.
Answer:
It represents the 270 miles that Roy and Travis must travel in 4 hours in order to meet somewhere along the highway.
Step-by-step explanation:
From the information given, the point of interception (4, 270) represent the number of distance, 270 miles, that both Roy and Travis must travel in 4 hours in order to meet along the highway where Roy will give Travis the key to a treasure chest to Roy.
