help??
Look at the following numbers:
–6, 0, 6, 12
Which pair of numbers has a sum of 0?
6, 12
0, 6
–6, 0
6, –6
A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?
To determine the number of general admission tickets sold, two equations were formed using the total number of attendees and total sales. By applying the elimination method to solve the system of equations, it was found that 148 general admission tickets were sold.
To solve this problem, we can set up two equations based on the number of people and the total sales. Let x represent the number of student tickets sold at $3.00 each, and let y represent the number of general admission tickets sold at $7.50 each. We are given that a total of 210 people attended, so:
1) x + y = 210
We are also given that the total sales were $1296, so:
2) 3x + 7.5y = 1296
We can solve this system of equations using the substitution or elimination method. For this example, I will use the elimination method. To eliminate one variable, we can multiply the first equation by 3, which gives us:
3x + 3y = 630
Now, by subtracting this new equation from the second equation, we eliminate x:
7.5y - 3y = 1296 - 630
4.5y = 666
Dividing both sides by 4.5, we find that:
y = 148
So, 148 general admission tickets were sold on the opening night of the school musical.
How do I solve a quadratic equation using the Quadratic Formula?
A company rents riding equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table below shows the total charges, y, in dollars, of renting riding equipment for x number of days:
Riding Equipment Rentals
Number of Days
(x) Total Charges (dollars)
(y)
0 6
1 16
2 26
What is the fixed amount charged?
$6
$10
$16
$26
(is it a or b?)
Answer:
A - 6$
You pay six dollars up front, on day zero.
Ok this is really worth 90 pts, so can any body please help me on this.
Question 4 (Worth 90 points)
Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
Part 1 (or a if you prefer):
f(x) = 5^x
f(x) = 5^0 = 0
f(x) = 5^1 = 5
Use this formula to solve: f(b) - f(a)/b - a
5 - 0 / 1 - 0 = 5/1 = 5
--
f(x) = 5^2 = 25
f(x) = 5^3 = 125
125 - 25 / 3 - 2 = 100/1 = 100
Average rate of change:
Section A: 5
Section B: 100
Part 2 (or b if you prefer):
Section B is 20 times greater then A
This is because Section B is increasing in the equation. Thus, Section B is of greater value than Section A.
Hope this assists you and future students.
Simplify 7x + 7 + 6x - 9.
13x - 2
13x + 2
11x
Answer:
x = -2/13
Step-by-step explanation:
This is a first degree polynomial. To solve it, you need to follow these steps:
Step 1: Equate the polynomial to zero
7x + 7 + 6x - 9 = 0
Step 2: Separate all numbers that have variable "x" on one side of equality and real numbers on the other side
7x + 6x + 7-9
Note: Remember that if you are going to pass a number from side to side the equality is reversed.
Step 3: Add Both Sides
13x = -2
Step 4: Isolate the "x" Variable
x = -2/13
If 4 grams of water vapor are present in a cubic meter of air that can hold a maximum of 10 grams, the ________________ is 40 percent.If
Ervin sells vintage cars. Every three months, he manages to sell 13 cars. Assuming he sells cars at a constant rate, what is the slope of the line that represents this relationship if time in months is along the x-axis and the number of cars sold is along the y-axis?
Answer: [tex]4.33\text{ cars per month.}[/tex]
Step-by-step explanation:
Given : Ervin sells vintage cars. Every three months, he manages to sell 13 cars.
[tex]m=\dfrac{\text{change in y}}{\text{change in x}}[/tex]
If time in months is along the x-axis and the number of cars sold is along the y-axis
Change in months : 3
Change number of cars : 13
The slope of the line that represents this relationship will be :-
[tex]m=\dfrac{\text{Change in cars}}{\text{Change in months}}\\\\=\dfrac{13}{3}=4.33333\approx4.33\text{ cars per month.}[/tex]
Hence, the slope of the line = [tex]4.33\text{ cars per month.}[/tex]
Answer:
View the picture for your answer!
have a nice day :))
According to the rules of significant figures:
1 • 225 = 200
A. True
B. False
65% of what number is 143
How do you write 180% as a fraction or mixed number in simplest form?
To write 180% as a fraction or mixed number in simplest form, convert the percent to a fraction with a denominator of 100 and simplify the fraction. The simplified fraction is 9/5 or the mixed number is 1 and 4/5.
Explanation:To convert a percent to a fraction or mixed number in simplest form, we need to write the percent as a fraction with a denominator of 100 and then simplify it. In this case, 180% can be written as 180/100. To simplify, we divide both the numerator and denominator by their greatest common divisor, which is 20. So, the simplified fraction is 9/5. This fraction can also be expressed as a mixed number by dividing the numerator by the denominator. Since 9 is greater than 5, the mixed number is 1 and 4/5.
Learn more about Converting percents here:https://brainly.com/question/34057217
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Given that h(x) = 3x −19, find the value of x that makes h(x) = 71. (5 points)
30
43
52
194
I'm not quite sure about this one. Can someone help? -Concept: Logs-
Help please usatestprep
Answer:
the answer is C
Step-by-step explanation:
What is the probability of getting either a sum of 5 or at least one 4 in the roll of a pair of dice?
The formular f = 9c/5 + 32 converts temperature in degrees Celsius into temperature in degrees Fahrenheit use the formula to find the value of f when c = -5 also help with the other questions please
What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ?
Write down five number pairs that are solutions to ab = 95 ab=95. (note that you can use negative numbers and fractions.)
what is the quotient of 5/6 divided by 3/4
1 1/9 is the answer
I know this because I just had to do the same problem and that was the answer
Solve the equation. 4p + 25 = 6(p – 3) – 3(4 – 3p)
At a bicycle store, there were a bunch of bicycles and tricycles. if there were 32 seats and 69 wheels, how many bicycles and how many tricycles were there?
By setting up a system of equations and solving for the number of bicycles (B) and tricycles (T) based on the total seats and wheels, we can determine there are 27 bicycles and 5 tricycles.
To determine the number of bicycles and tricycles in the bicycle store given that there are 32 seats and 69 wheels, we can set up a system of equations. Let's let B represent the number of bicycles and T represent the number of tricycles. Since bicycles have 2 wheels and tricycles have 3 wheels, we can express the total number of wheels as:
2B + 3T = 69
Each bicycle and tricycle has one seat, so we can also express the total number of seats as:
B + T = 32
To solve this system, we can multiply the second equation by 2 and subtract it from the first equation to eliminate B:
(2B + 3T) - (2(B + T)) = 69 - 64
2B + 3T - 2B - 2T = 69 - 64
T = 5
Now we substitute T into the second equation:
B + 5 = 32
B = 32 - 5
B = 27
So, there are 27 bicycles and 5 tricycles in the bicycle store.
Find angle B if triangle ABC below is isosceles.
a. 77 degrees
b. 36 degrees
c. 50 degrees
d. 44 degrees
2x-20 = x+8
x-20 =8
x = 28
28+8 =36
angle B = 36 degrees
answer is b
Calculate the length of the marked side
line AB the one marked c cm is:
8.2 * sin(49)=
6.1889
round answer to 6.2 cm
What three different equations that have x = 5 as a solution
assume y varies directly as x. if y=8 when x=42; find y when x=126
If we express $-2x^2 + 4x + 5$ in the form $a(x - h)^2 + k$, then what is $k$?
Beth did a walk for charity and earned $24 for every 2 1/2 miles she walked. what is the unit rate?
Can you form a right triangle with the three lengths given? Why or why not? 4mi, 5mi, 6mi
The table below represents the displacement of a bird from its nest as a function of time:
Time
(hours)
x Displacement
from nest
(miles)
y
0 12
1 20
2 28
3 36
4 44
Part A: What is the y-intercept of the function, and what does this tell you about the bird? (4 points)
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points)
Part C: What would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest? (2 points)
Please Help Fast!!!!
Given the following functions f(x) and g(x), describe the changes (horizontal shifts, vertical shifts, etc.) to the graph of g(x) with respect to the graph of f(x).
f ( x ) = | x | g ( x ) = - | x + 3 | -2