9514 1404 393
Answer:
7
Step-by-step explanation:
In order for a number to be divisible by all of 7, 8, 10, and 25, it must be a multiple of the least common multiple of those numbers.
LCM(7, 8, 10, 25) = 7×8×25 = 1400
There are floor(10,000/1,400) = 7 4-digit numbers divisible by 7, 8, 10, and 25. They are ...
1400, 2800, 4200, 5600, 7000, 8400, 9800
Answer:
x = 2 * (y/5) feets
Step-by-step explanation:
Given that :
Actual dimension of mural = 15 feet by 8 feet
Scale drawing = 2 feet : 5 feet
2 feets on the scale drawing represents 5 feets of the actual drawing.
Drawing length (x)
Actual mural length (y)
x = 2 * (y/5) feets
Hence, dimension of scale drawing:
x = 2 * (15/5) ; x = 2 * (8/5)
x = 6 feets ; 3.2 feets
Answer:
See explanation
Step-by-step explanation:
Let 
be the number of students and 
be the number of adults on the show.
1. Tickets cost $15 for students, so x student tickets cost $15x.
Tickets cost $25 for adults, so y adult tickets cost $25y.
Total cost of all tickets is $(15x + 25y).
The charity show is conducted in order to raise at least $3,750, thus
2. The auditorium can accommodate up to 180 spectators, hence
3. We get the system of inequalities:
Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise 
Answer:
c
Step-by-step explanation:
The limit exists because it's continuous since they equal each other
when x approaches zero.
Substitute both expressions with x=0 and both of them will equal 2, so the limit should be 2.
