Pete is saving up for a bike and knows he'll need to spend at least $220 to get the one he wants. He saves $45 each month. How l
1 answer:
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Answer:
0.1 yards of fabric
Step-by-step explanation:
Data provided in the question:
Number of outfits made for the doll = 14
Fabric used in each outfit = yards of fabric
Starting fabric available = 10 × or
yards
Now,
The total fabric used in making the outfits of 14 dolls
= 14 × yards of fabric
= yards of fabric
Therefore,
The fabric left after making the outfits
= Fabric available in the start - Fabric used in making the outfits
= yards -
yards
= yards
= yards
= yards
= 0.1 yards of fabric
Answer: There are 25 ways to select two members.
Step-by-step explanation:
Since we have given that
S={E,F,G,H,J}
Number of elements = 5
We need to select two members from S allowing the repetition.
We will use "Fundamental theorem of counting":
There are 5 choices for the first member.
There are 5 choices for the second member.
So, Number of ways would be
Hence, there are 25 ways to select two members.
Suppose 
is the number of possible combinations for a suitcase with a lock consisting of 
wheels. If you added one more wheel onto the lock, there would only be 9 allowed possible digits you can use for the new wheel. This means the number of possible combinations for 
wheels, or 
is given recursively by the formula
starting with
(because you can start the combination with any one of the ten available digits 0 through 9).
For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).
By substitution, you have
This means a lock with 55 wheels will have
possible combinations (a number with 53 digits).
starting with
For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).
By substitution, you have
This means a lock with 55 wheels will have
possible combinations (a number with 53 digits).