Answer:
we conclude that the cost of 100 pencils = $11
Step-by-step explanation:
Brianna can buy 14 pencils for $1.50 at the school store.
so
unit rate = $1.50 / 14 pencils
= 0.11 USD per pencil
Thus,
The cost of 1 pencil = $0.11
The cost of 100 pencils = $0.11 × 100
= $11
Therefore, we conclude that the cost of 100 pencils = $11
Answer: 10 km/ hr
Step-by-step explanation:
In the graph below, Diego's speed at various points during his 10 kilometer race is shown on the y axis while the distance is shown on the x axis.
Looking at the 1km mark on the x axis, Diego's speed on the y-axis is at 10km/ hr and this was the speed he started the race with. After the kilometer mark however, his speed changed and went on to increase to 11km/ hr by the second kilometer mark.
Answer: it will take 5 people 6.4 hours to do the work.
Step-by-step explanation:
The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,
h is inversely proportional to p
Introducing a constant of variation, k, it means that
h = k/p
It takes 8 hours for 4 people to paint the inside of a house. Therefore
8 = k/4
k = 8×4 = 32
The formula becomes
h = 32/p
To determine how many hours it will take 5 people to do the work, we will substitute p = 5 into the formula. It becomes
h = 32/5 = 6.4 hours
Both are correct.
Good job!