Response:
a) 8
b) 15
c) 34
Detailed explanation:
Section a) Options for neck-wear
Regular ties count = 3
Bow ties count = 5
Overall ties count = 3 + 5 = 8
Any tie can be selected from these 8 available options. Thus, the options for neck-wear total 8.
Section b)
We now calculate choices for using both regular and bow ties.
Selecting a regular tie is independent of the bow tie selection. According to counting principles, if two events are independent, the total ways to realize both equal the product of their individual possibilities. Thus,[
Number of ways to select both ties = Count of ways to choose each tie
So,
Ways for wearing both types of ties = 3 x 5 = 15 ways
Section c)
Count of shirts = 5
Count of skirts = 4
Count of pants = 3
Count of dresses = 7
Choice options for outfits include:
- Shirt paired with Skirt or Pants
- Or simply a dress
Pants can be chosen in 3 ways. Pairing a skirt or pant provides 9 options.
Reapplying counting rules:
Ways to wear a shirt with a skirt or pant = 3 x 9 = 27
Choices for dresses = 7
Consequently, the total is 27 + 7 = 34 outfit combinations.
The weight of an orangutan is 64.5 kilograms
Solution:
It is stated that the orangutan's weight is 142 pounds
Additionally,
1 kilogram is approximately 2.2 pounds
We will now convert 142 pounds into kilograms
1 kilogram = 2.2 pounds
As a result, 142 pounds translates to
When rounding to the nearest tenth, we obtain 64.5 kilograms
Therefore the mass of the orangutan is 64.5 kilograms
Is there a question or not?
In the ratio of miles traveled, Mr. Storey and Mrs. Storey's journey is represented as mr: mrs = 3: 1. The total of these ratio units equals 4 (3+1), which means each unit corresponds to 3200 divided by 4, resulting in 800 miles. Mr. Storey drove 3 multiplied by 800, equating to 2400 miles, while Mrs. Storey drove 1 multiplied by 800, totaling 800 miles.
Part 1) side 1=15'-7" side 2=20'-4" side 3=26'-2" To determine the total length of all three sides, add them together: total length=side 1+side 2 +side 3. By substituting, total length=15'-7"+20'-4"+26'-2" can be expressed as total length=(15'+20'+26')+(7"+4"+2"). This simplifies to total length=(61')+(13"). Keep in mind that 12"=1', so 13" can be expressed as 12"+1"=1'+1". By substituting again: total length=(61')+(1'+1") simplifies to total length=(62')+(1") which leads to 62'-1". Therefore, the total length of the three sides is 62'-1".
