Answer:
10.5.
Step-by-step explanation:
By similar triangles:
IJ / 21 = 8 /(8+8) = 1/2
IJ / 21 = 1/2
IJ = 1/2 * 21
= 10.5.
Answer:
The standard form of line is

Step-by-step explanation:
we are given a line
slope=3
so,

y-intercept of -2
so,

now, we can use slope-intercept form of line

now, we can plug values

we can write it in standard form of line


we can subtract both sides by 3x



So, the standard form of line is

Ralphs is 7.5x+10
frank’s is 10x
Answer:
an =a1+(n−1)d
Step-by-step explanation:
Answer: the number of adult and student tickets sold are (45, 29)
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of student tickets that were sold.
On Wednesday, a total of 74 tickets were sold. This means that
x + y = 74
x = 74 - y- - - - - - - - - - - - - - 1
If adult tickets are sold for $15 and student tickets are sold for $11 and the money collected was $994, it means that
15x + 11y = 994- - - - - - - - - - - - - - 2
Substituting equation 1 into equation 2, it becomes
15(74 - y) + 11y = 994
1110 - 15y + 11y = 994
- 15y + 11y = 994 - 1110
- 4y = - 116
y = - 116/ - 4
y = 29
Substituting y = 29 into equation 1, it becomes
x = 74 - 29 = 45