6(x+9) is the factored expression.
Answer:
The attendance was 198 children, 90 students and 99 adults.
Step-by-step explanation:
We define:
c: children attendance
s: students attendance
a: adult attendance
The equation that describes the total ticket sales is:

We also know that the children attendance doubles the adult attendance:

The third equation is the seating capacity, which we assume is full:

We start by replacing variables in two of the equations:

Then, we solve the remaining equation for a:

Then, we solve for the other two equations:

The attendance was 198 children, 90 students and 99 adults.
Answer:
<h3>2T/9</h3>
Step-by-step explanation:
A construction manager needs 12 workers to complete a building project in 54 days, we can write;
12 workers = 54 days
T find the number of workers needed to complete the same project in T days, we will write;
x workers = T days
Divide both equations
12/x = 54/T
Cross multiply
12T = 54x
x = 12T/54
x = 2T/9
Hence the number of workers needed to complete the same project in T days is 2T/9 workers
not enough information to solve it as there are two unknowns in one inequality
Answer:
6in
Step-by-step explanation:
Given data
Volume of the lockbox= 312 cubic inches
Height= 4in
Length= 13in
Width= ???
The expression for the volume of box is
V= L*W*H
substitute
312=13*W*4
312=52W
W= 312/52
W=6 in
Hence the width is 6in