Answer:
the answer is k=1
Step-by-step explanation:
Answer: 12.32 is the answer.
Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.
We substitute in the values,
17^2+B^2=21^2.
Now we simplify.
289+B^2=441
We subtract the 289 from both sides,
B^2=152
Now we use square root to find the answer.
12.32 is the answer.
Hope this helps!
Answer:
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
Step-by-step explanation:
A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?
Let
x = number of tickets sold for $26
y = number of tickets sold for $40
x + y = 6000
x = 6000 - y
$26 × x + $40 × y= $185, 400
26x + 40y = 185400
Substitute
26(6000 - y) + 40y = 185400
156000 - 26y + 40y = 185400
Collect like terms
- 26y + 40y = 185400 - 156000
14y = 29400
y = 29400/14
y = 2100 tickets
x = 6000 - y
x = 6000 - 2100
x = 3900 tickets
Hence
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a line in point slope form is
we have
substitute
The easiest way to graph a line is to calculate the intercepts
The<u><em> x-intercept </em></u>is the value of x when the value of y is equal to zero
For y=0
The x-intercept is the point (-6,0)
The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero
For x=0
The y-intercept is the point (0,1.5)
Plot the intercepts and join the points to graph the line
(-6,0) and (0,1.5)
The graph in the attached figure
Answer:
9x + 7
Step-by-step explanation:
Given
6x + 5y + 3x + 7 - 5y ← collect like terms
= (6x + 3x ) + (5y - 5y ) + 7
= 9x + 0 + 7
= 9x + 7
