25/5 = 5
and also
15/3 = 5
so
(3x+ 8)/5 = 4
3x + 8 = 20
3x = 12
x = 12/3
x = 4
answer is x = 4
Answer:
B. 5a + 8p = 155; p = a - 5
Step-by-step explanation:
B
Hello!
Angles CAD and EAB are congruent.
The reason why is that they are vertical angles. Their points meet and therefore they are congruent.
I hope this helps!
Answer:
(x - 6)^2 = 42
Step-by-step explanation:
Using " ^ " to indicate exponentiation, we have:
x^2 - 12x -6=0
Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.
Start by taking HALF of the coefficient of x, that is, HALF of -12. We get -6.
Next, square this result: (-6)^2 = 36.
Finally, add this 36 to both sides, obtaining:
x^2 - 12x + 36 - 6 = 36
Rewriting the first three terms, we get:
(x - 6)^2 - 6 = 36, or
(x - 6)^2 = 42 This is the end result to "completing the square."
If you want to go further and actually solve for x, then see below:
Taking the square root of both sides, we get
x - 6 = ±√42
Then x = 6 ± √42, or
x = 6 + √42 and
x = 6 - √42
Answer:
The total cost of the party is approximately $2300, hence the correct answer is option D.
Step-by-step explanation:
Given:
Number of students = 295 students
cost per student = $8.95
Discounts given by the company = $400
To find:
We need to estimate the total cost of the party.
Solution:
To find the total cost of the party we need to multiply the total number of students into the cost per student.
This can be done as follows:
=295×8.95
=2640.25
Therefore, the total cost of the party is $2640.25, but it is given that the laser tag company gave the students a discount of $400. Hence the total cost after discount is
=2640.25-400
=2240.25
Therefore, the total cost of the party is approximately $2300
Hence the correct answer is option D.
