10 pieces of silverware laid in a row if 3 are identical spoons, 4 are identical forks, and 3 are identical knifes
The arrangement of 'm' objects on which 'n' objects are of same kind is
Given: 10 pieces of silverware so its 10!
3 are identical spoons so its 3!
4 are identical forks so its 4!
and 3 are identical knifes so its 3!
Arrangements made = = 4200
Part A:
Answer:
Step-by-step explanation:
Step 1:
Jodi bought a new car with a 14-gallon gas tank.
Around town, she can drive 336 miles on one tank of gas.
She drove 448 miles on one tank on a trip on the highway
<em>m</em> will represent the number of miles per gallon of gas.
Step 2:
If <em>m </em>represents the number of miles per gallon of gas she gets and her tank holds 14 gallons then 14<em>m</em> represents the number of miles she can drive.
14 gallons ·
Around town, she was able to drive 336 miles and on the highway, she was able to drive 448
So...
Part B:
Answer:
The compound inequality is two simple inequalities separated by "and" is and
.
Step-by-step explanation:
Step 1:
We are told Jodi bought a new car with a 14-gallon gas tank.
Around town, she can drive 336 miles on one tank of gas. She drove 448 miles on one tank of gas on her first trip traveling on highways
Here we need to rewrite the compound inequality
Let represent the number of miles per gallon of gas.
Step 2:
Since must greater than or equal to
and less than or equal to
:
The two simple inequalities must be separated by the word "and"
and
Part C:
Answer:
The solution of simple inequality is and
Step- by step explanation:
Step 1:
We are given Jodi bought a new car with a 14-gallon gas tank. Around town, she can drive 336 miles on one tank of gas. She drove 448 miles on one tank of gas on her first trip traveling on highways.
Step 2:
Solve each simple inequality by dividing both sides by 14:
and
and
and
Part D:
Answer:
The solution of the compound inequality is
Step 1:
We are given Jodi bought a new car with a 14-gallon gas tank. Around town, she can drive336miles on one tank of gas. She drove 448 miles on one tank of gas on her first trip traveling on highways. To solve the compound inequality without rewriting it as two simple inequalities
Step 2:
Solving compound for
by dividing all sides by 14
Part G:
Answer: