Concert R charges an admission fee of $10.00 and $6.25 per souvenir brochure. Concert S charges an admission fee of $13.00 and $5.75 per souvenir brochure. How many souvenir brochures must be purchased in order for the total cost at Concert R and Concert S to be the same?
A) 6 souvenir brochure
B) 10 souvenir brochure
C) 12 souvenir brochure s
D) 18 souvenir brochure
Answers
6 souvenir brochures must be purchased in order Which is the correct answer would be an option (A)
What is the Linear equation?
A linear equation is defined as an equation in which the highest power of the variable is always one.
The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.
For the functions, we have that:
The set-up fee is the admission fee.
The price per souvenir brochure is the slope.
Hence the functions are given by:
R(x) = 10 + 6.25x
S(x) = 13 + 5.75x
We have been given the total cost at Concert R and Concert S to be the same.
So R(x) = S(x).
⇒ 10 + 6.25x = 13 + 5.75x
⇒ 0.5x = 3
⇒ x = 3/0.5
⇒ x = 6.
Therefore, 6 souvenir brochures must be purchased in order for the total cost at Concert R and Concert S to be the same.
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Answer:
6 souvenir brochure
Step-by-step explanation:
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3.25- 13 tenths A:10.25 B:3.12 C:2.95
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20. X + 5x + 4 = 3(2x – 1)
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solve all equations and show your work
Answers
Answer:
10. x=4/3 or 1.3
11. No solution
12. All real numbers
13. x=0
14. No solution
15. All real numbers
16. No solution
17. x=3/4 or 0.75
18. No solution
Step-by-step explanation:
Answers
An equation is formed when two equal expressions. The number of dimes and nickels in Caroline's purse is 12 and 27, respectively.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of dimes in Caroline's purse be represented by x, while the number of nickels is represented by y.
Given that the number of nickels is nine less than three times the number of dimes. Therefore, we can write,
y = 3x - 9
Also, Caroline has a total of $2.55 in her purse. Therefore, we can write,
0.10x + 0.05y = 2.55
Substitute the value of y from the above equation,
0.10x + 0.05(3x - 9) = 2.55
0.10x + 0.15x - 0.45 = 2.55
0.25x = 2.55 + 0.45
0.25x = 3
x = 3/0.25
x = 12
Substitute the value of x in the equation of y,
y = 3x - 9
y = 3(12) - 9
y = 36 - 9
y = 27
Hence, the number of dimes and nickels in Caroline's purse is 12 and 27, respectively.
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N=3d-9
0.05(3d-9)+0.1d=2.55
0.15d-0.45+0.1d=2.55
0.25d=2.55+0.45
0.25d=3
D=12
N=3(12)-9
N=36-9
N=27
Hope this helps
Answers
Answers
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. please give brainiest
Step-by-step explanation:
what is the function of this graph i cant figure it out
Answers
is an exponential function, likely something like
so... try graphing in your calculator
Answers
The benefits of using a drawing program over a compass and straightedge is that the drawing program is more faster.