Answer:
It will take them approximately 51.43 minutes to complete the project together
Step-by-step explanation:
This is what is called a "shared job" problem.
The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.
So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project
Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.
We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).
Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.
In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:
So it will take them approximately 51.43 minutes to complete the project together.
Answer:
2159
Step-by-step explanation:
1440 minutes in a day.
60 minutes in an hour
60 x 11 = 660.
1440 + 660 = 2100.
2100 + 59 = 2159
9514 1404 393
Answer:
- 80
- 40
- 10 to 20, inclusive
Step-by-step explanation:
1. The various goals can be met without filling the theater. This fact means there is a range of possibilities for each of the answers. However, we take the wording, "because of the demand for tickets ..." to mean demand is high and the theater will be sold out.
Since two children's tickets will be sold for each adult ticket sold, the number of children's tickets is 2/3 of the total.
children's tickets = 2/3 × 120 = 80
__
2. The remaining 40 tickets will be adult tickets.
40 adult tickets will be sold.
__
3. The total revenue must be at least $1800. If we allow 'd' tickets to be sold at a discount, then we can find the limits on d using the inequality ...
24(40-d) +24(0.75)d +12(80) ≥ 1800 . . . . revenue from ticket sales
-6d ≥ -120 . . . . . . . . . . . . . . . . . . . collect terms, subtract 1920
d ≤ 20 . . . . . . . . . . divide by -6
At least 10 and at most 20 adult tickets can be sold with a discount.
("At least 10" comes from the problem requirements.)
Answer:
The first is a Postive slope. the Second is a Zero slope
Step-by-step explanation:
Becuase the first gradully increases. meaning positive
and the 2nd is a zero because there is no slope. it's a stright line. level ground. no up hill or down hill
Hope this helps!
Answer:
D
12²
Step-by-step explanation:
Given in the question, an integer = 144
To find the exponential form 144 we will do factorisation
The prime factorisation of 144 is
2 × 2 × 2 × 2 × 3 × 3
So the exponential form is 2
× 3²
The other way is
√144 = 12
which means
12² = 144
