concert tickets cost $15 for general admission, but only $9 with a student ID. ticket sales total $4500. wirte and graph ab equation that models this situation. explain how to use your graph to find how many student tickets were sold if 200 general admission tickets were sold
The equation is given as 15x + 9y = 4500
The tickets sold when 200 are sold is y = 166.7
How to model the equation
The equation that models this would be
$15x + $9y = $4500
15x + 9y = 4500
If 200 admission tickets were sold we would have
15 * 200 + 9y = 4500
3000 + 9y = 4500
9y = 4500 - 3000
9y = 1500
y = 166.7 please approximate because tickets number has to be whole
The approximated total tickets that were sold is given as 167
Use your graph to check for the value of the corresponding y side if 200 tickets are sold
Which of the following represents ninth root of x to the seventh power in exponential form?
Answer:
[tex]x^{\frac{7}{9}}[/tex]
Step-by-step explanation:
write ninth root of x to the seventh power in exponential form
[tex]\sqrt[9]{x^7}[/tex]
To write the radical in exponential form we use the below property
[tex]\sqrt[n]{x^a} = x^{\frac{a}{n}}[/tex]
The radical becomes the base of the fraction
[tex]\sqrt[9]{x^7}=x^{\frac{7}{9}}[/tex]
we cannot simplify the fraction.
The given expression in exponential form is
[tex]x^{\frac{7}{9}}[/tex]
karen says that 6 is a common factor of 2 and 3 ken says that 6 is a common multiple of 2 and 3 who is correct
A wildlife biologist catches and releases 20 fish from two different lakes at random locations. he catches 10 fish at lake palmer and 10 fish at lake dalton. he measures the length of each fish to the nearest quarter of an inch. palmer dalton first quartile 6.75 5.5 second quartile (median) 10.25 6.75 third quartile 13 7.5 based on the samples, what generalization can be made? at least 25 percent of the fish in both lakes are no longer than 6 inches. the interquartile range for lake dalton is 2 inches greater than the interquartile range for lake palmer. the first quartile value at lake palmer is 1.25 inches longer than the first quartile value at lake dalton. not enough information is provided to draw any of these conclusions.
Answer:
The first quartile value at Lake Palmer is 1.25 inches longer than the first quartile value at Lake Dalton.
Step-by-step explanation:
Help please!! Find domain and range for 20 points
Add.
(−8x4+x3+2x2+2)+(−x4+5x3−x2+5x)
Enter your answer, in standard form, in the box.
Solve for x.
−1/3x≤−6
Answer:
x ≥ 18
hope this helps! <3
The solution of the inequality is x ≥ 18.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
We have −1/3x≤−6
Now, Multiply the inequality 3 from both side
-3x /3 ≤ -6 x 3
-x ≤ -18
Multiply (-1) to both side as
x ≥ 18.
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12x^2 −75=3(2x+?)(2x−5)
What is the missing term in the factorization
To find the missing term in the factorization, we rewrite the equation in the form of ax^2 + bx + c = 0, equate the coefficients and solve for the term. The missing term is -25.
Explanation:
To find the missing term in the factorization, we can rewrite the given equation in a general form of the quadratic equation like ax^2 + bx + c. In our case, this would be:12x^2 - 3(4x^2 - 10x + ?) = −75. Here, 'a' has a coefficient of 12, 'b' is -10 multiplied by 3 (the '3' outside the brackets), and 'c' is ? multiplied by 3. By equating the coefficients on both sides of the equation, we can solve for the missing term '?'. Therefore, the missing term is '? = -75 / 3' or '? = -25'.
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A certain sequence is defined such that the th term in the sequence is equal to n n how much greater is the 10th term th term in the sequence?
Treat this like a function question, only instead of f(n) = n^2 + 1, you’re told that the nth term equals n^2 + 1. Different language, same exact result:
The 7th term will be 7^2 + 1 = 50, and the 10th term will be 10^2 + 1 = 101. 101 is 51 greater than 50.
Final answer:
To find how much greater the 10th term is compared to the nth term in a sequence, we need the sequence's rule. Assuming the rule is n^2, the 10th term is 10^2. The difference would be 10^2 - n^2, but without the value for n or a clear sequence definition, the numerical difference remains unknown.
Explanation:
The question appears to be asking for the 10th and nth terms of a defined sequence, but there seems to be a typo or missing information specifying the rule for the sequence. To find how much greater the 10th term is compared to the nth term, we would first need the explicit formula for the sequence. If the sequence is defined such that the nth term is n2, then the 10th term would be 102, and the nth term would be n2. The difference between the two terms is then 102 - n2. Without the value for n or a proper sequence definition, we cannot find the actual numerical difference.
suppose a research team takes a simple random sample of 100 parma wallabies. in this sample, the tails of the wallabies have a mean length of 46 centimeters and a standard deviation of 2.6 centimeters.
What percent of the time could a simple random of 100 parma wallabies have a sample mean that is not in the 95% confidence interval?
5%
0%
2.5%
20%
For f(x)=4x squared -3 and g(x)=x +1 find (f - g)(x) PLEASE HELPP
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
y−4=−911(x+8)
y+4=−911(x−8)
y−4=−15(x+8)
y+4=−15(x−8)
plzzz helppppppp meeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the line is y - 4 = (-9/11)[x + 8] which passes through the points (3, −5) and (−8, 4) option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The two points are: (3, −5) and (−8, 4)
As we know,
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
The equation of the line:
y - 4 = (4+5)/(-8-3)[x + 8]
y - 4 = (-9/11)[x + 8]
Thus, the equation of the line is y - 4 = (-9/11)[x + 8] which passes through the points (3, −5) and (−8, 4) option (A) is correct.
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One hundred percent of the fish in a pond are goldfish. i take 10$\%$ of the goldfish out of the pond. what percentage of goldfish does the pond now contain?
When h has the value of 5 calculate 6h +9
solve the system by substitution. -4.5-2y=-12.5 , 3.35x-y=-0.75
If two fair dice are rolled 10 times, what is the probability of at least one 6 (on either die) in exactly five of these 10 rolls?
Darnell needs to raise $176 to buy his favorite bicycle. he has $49 in the bank and his mother told him she would pay him $12 to mow the yard. if he continues to get $12 for each lawn he mows, how many yards will he have to mow, including his mother's, to be able to buy the bike?
what is the value of x (I will give 20 points to best answer)
Answer options
61
37
85
122
The value of x is 61 after using the concept of vertically opposite angles option (A) 61 is correct.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
The angles are shown in the picture.
As we know, from the definition of vertically opposite angles, the angles when two lines intersect each other and at the intersecting point.
The first angle = 2x + 24
The second angle = 146
Equating both the angles:
2x + 24 = 146
2x = 146 - 24
2x = 122
x = 122/2
x = 61
Thus, the value of x is 61 after using the concept of vertically opposite angles option (A) 61 is correct.
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If it starts out at -10 degrees, what will the temperature be if it rises 30 degrees?
A.10 degrees
B.20 degrees
C.30 degrees
D.40 degrees
add 30 to -10:
-10 + 30 = 20
Answer is B.
What adds together to equal -7
What is the product of 6+5i and 4+7i?
Answer:
-11+62i
Step-by-step explanation:
(6+5i)(4+7i)
Use the Distributive Property
24 + 42i + 20i + 35i²
Combine like terms
24+62i+35i^2
i^2 = -1
24+62i+35(-1)
24+62i+(-35)
24+(-35)= -11
-11+62i
twenty-four players divided into three teams?
If the diameter of a men’s basketball is 10 inches and a women’s is 9 inches, what is the approximate difference of their volumes? 133.9 in.3 137.6 in.3 141.9 in.3 145.6 in.3
help me and show how you got it please
An exterior angle of a triangle equals the sum__________.
of the interior angles
other exterior angles
the remaining vertical angles
of the two remote interior angles
The students at Campbell High School have been planting trees as part of an ongoing service project. This month, they averaged 15 trees per participant. That is 150% more trees than their average the last time they did it. What was their average last time?
___ trees
Final answer:
The average number of trees planted by participants last time was 10 trees, calculated by understanding the percentage increase and using basic arithmetic.
Explanation:
The average number of trees planted by participants last time was 10 trees.
To solve this, we know that the current average is 15 trees per participant, which is 150% more than the last average. This means the current average is 250% of the last average. To find the last average, you divide the current average by 2.5 (250%), giving you 6. Then, you calculate 150% of 6, which equals 9. Adding 6 and 9 together gets you 15 trees, the current average, confirming the last average was 10 trees.
What is the perimeter of a rectangle if the length of the short sides are 5", and the other sides are both y?
perimeter = 2L +2W
perimeter = 2Y +2(5)
perimeter = 2y+10
What is the percent increase modeled in the function f(x)=30(1.25)*
A. 30%
B. 1.25%
C. 25%
D. 75%
the increase would be 1.25-1 = 0.25 = 25%
Answer is C
Michael has $1.95 in his collection, consisting of nickels and quarters. the number of nickels is three more than the number of quarters. how many nickels and quarters does michael have
A motorboat takes 4 hours to travel 128 mi going upstream. the return trip takes 2 hours going downstream. what is the rate of the boat in still water and what is the rate of the current