Answer:
The repair of the stretch of road will require
weeks to finish.
Step-by-step explanation:
Provided:
Length of the roads needing repair =
Length of the road workers can fix in a week = 
To ascertain how many weeks it will take to mend this road stretch.
Solution:
Worker's road repair rate = per week.
Overall road length to repair =
The time required to repair
of road by the workers can be calculated: ⇒
When dividing mixed numbers, we change them first into fractions.
To compute fraction division, we take the reciprocal of the divisor and substitute division with multiplication:
⇒ 
We revert the fraction back into a mixed number.
Thus, it will take
weeks to complete the road repair task.
Answer:
Steven is mistaken.
Step-by-step explanation:
Steven has
- 9 unique shirts
- 5 unique hats
- 4 unique scarves.
He selects only two out of the three types of clothing. The combinations can be calculated as
-
options to select a shirt and a hat; 
options to select a hat and a scarf;
options to select a shirt and a scarf.
In total, there are
different methods to choose just two out of the three clothing items.
As a result, 
Steven is not correct.
Answer:
The converse is:
If the ratio of left-handers to right-handers is 1: 8, then for every 3 left-handed individuals, there are 24 right-handed individuals.
The truth value is: True
Step-by-step explanation:
This statement can be expressed as:
p -> If a class contains 3 left-handed individuals and 24 right-handed individuals,
q -> the ratio of left-handed to right-handed individuals is 1:8.
The converse of a conditional statement is:
if q then p.
Thus, we have the converse as:
if the ratio of lefties to righties is 1: 8, then for each 3 left-handed individuals, there are 24 right-handed individuals.
The truth value is as follows:
For p, we find the ratio = 3: 24,
which simplifies to.
Ratio = 1: 8.
For q, we have:
Ratio = 1: 8.
Since both conditions are accurate, the truth value is true.
