2. Mercury High School is requiring students to purchase parking permits this year in order to
use campus parking lots. It costs the school a one-time fee of $500 to have the logo
designed. It also costs $2 per permit to print and cut out each one. They expect the average
cost of each permit to be $6.
a. Write a rational equation that describes the situation above.
b. How many parking permits does Mercury High School need to sell in order for the
average cost of a student's parking permit to be $6? Solve your equation from part (a)
to answer the question. Justify your solution as it relates to the context.
Answer:
a. $6 = ($500 + $2q) / q
b. 125
Average cost = ($500 + $2q) / q
($500 + $2x 125) / 125 = $6
Step-by-step explanation:
Average cost = total cost / quantity produced
total cost = fixed cost + variable cost
Fixed costs are costs that do not vary with output. e.g. the cost of the logo
Variable costs are costs that vary with production e.g. cost of printing and cutting
Variable cost = $2 x quantity of parking ticket sold
let q = quantity of parking ticket sold
variable cost = 2q
$6 = ($500 + $2q) / q
to determine the number of parking ticket to be sold for average cost to be $6, take the following steps
Multiply both sides of the equation by q
6q = 500 + 2q
collect like terms
6q - 2q = 500
4q = 500
q = 125
125 tickets have to be sold for average cost to the $125
to justify the answer, replace 125 in the first equation to confirm if $6 would gotten as the average cost
($500 + $2q) / q
($500 + $2x 125) / 125 = $6
A candle burns down at the rate of 0.75 inches per hour. The original height of the candle was 9 inches. Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 9) would represent a height of 9 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points) Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points) Part C: If the rate at which the candle burned was 0.5 inches per hour instead of 0.75 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
Answer:
Ik the question is old and ik its 15 sorry Im late
Step-by-step explanation:
Please help me will give brainliest!
Answer:
3a) -22 + 5 = -17
3b) -22 - (-5) = -22 + 5 = -17
3c) (-22)(-5) = 110
3d) -22 ÷ 5 = -4.4
Hope this helps!
Step-by-step explanation:
a) -22+5=-17
b)-22+5=-17
c)-22_5=-27
d)-22÷5=-4.4
by which least number 25920 is divided to make it a perfect square.
Answer:
Step-by-step explanation:
Dividing by 5 we get 5184 which is square of 72. Answer is 5.
Suzanne pours 260 mL of milk into her glass.
Which expression shows how Suzanne could find this amount of milk in liters?
Answer:
1 L = 1000 mL
Step-by-step explanation:
B. 260 × 100
Farah saved $15 everyday while shirley saved $10 everyday. Shirley started saving money 5 days earlier than Farah. How many days will it take Farah to have the same amount of savings as Shirley?
Answer:
6 days
Step-by-step explanation:
shirley earned 50 dollars before farah started saving
50-15
60-30
70-45
80-60
90-85
100-100
6 days
In 10 days Farah and Shirley will have the same amount of money
What is a linear equation in one variable?A linear equation is an alzebraic expression which has highest degree of one and contains only one variable.
In the given question farah saved 15$/day and Shirley saved 10$/day
Shirley started 5 days earlier so in 5 days she will save 10 x 5 = 50$
let assume days to be x.
So,
10x + 50 = 15x
5x = 50
x = 10 .
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4. A dirt bike requires 15 L of gas to be mixed with 4 L of oil. If you use 20 L of gas, need?
Answer:
Read down below :)
Step-by-step explanation:
Rather than taking it on and overthinking it the way everyone else does, do it the simple way, like this:
15/3 = 5, right? and 5, when multiplied by 4, becomes 20, right? So divide 4 by 3, and then take that number, and muliply it by 4.
Like this: (4 / 3) * 4, and then you know that 5 L of gas requires 1.33e L of oil. So, like 5*4 = 20, so is 1.33e *4, the amount of oil in 20 L. In all, the answer is 5.33e, or [tex]5 \frac{3}{5}[/tex] or whatever your answer might have to be
Why is the volume of a cone 1/3 the volume of a cylinder if the height and the radius are equal
Answer:
Step-by-step explanation:
88pls answer its due today
#10 Find the volume of the cylinder and round to the nearest tenth. *
1 point
9 cm
10 cm
Answer:
Step-by-step explanation:
This Website is On Goo gle By the way!
Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6
Answer:
The total number of stamps that Tom collect at the end of X weeks is
[tex]32 + 8 * X[/tex]
Step-by-step explanation:
Complete question
Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.
Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.
Write an equation to represent the number of stamps in Tom’s collection based on the number of weeks he has been collecting stamps.
Solution
Let "X" be the number of weeks for which Tom collected the stamps
The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]
It is given that he collects 8 stamps per week
So the total number of stamps that Tom collect at the end of X weeks is
[tex]32 + 8 * X[/tex]
Two numbers have sum of 100 and a difference of 6
Answer:
a + b = 100
a - b = 6
2a = 106
2a/2 = 106/2
a = 53
53 + b = 100
53 + b - 53 = 100 - 53
b = 47
What is the value of x? Round the answer to the nearest tenth. The diagram is not drawn to scale.
Answer options:
A.) 60
B.) 120
C.) 15
D.) 30
Could you please give an explanation too, maybe? I’m quite confused on this one lol. Thank you to anyone who wants to help!!!
Answer:
I think d
Step-by-step explanation:
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You flip a coin 50 times. Of the 50 flips, the coin landed on heads 30 times. Use the questions below to compare the experimental probability of flipping heads with the theoretical probability of flipping heads.
Given:
Of the 50 flips, the coin landed on heads 30 times.
To find:
The experimental probability of flipping heads and compare it with the theoretical probability of flipping heads.
Solution:
We have,
Total number of trials = 50
Total number of heads = 30
The experimental probability of flipping heads is:
[tex]\text{Experimental probability}=\dfrac{\text{Total number of heads}}{\text{Total number of trials}}[/tex]
[tex]\text{Experimental probability}=\dfrac{30}{50}[/tex]
[tex]\text{Experimental probability}=\dfrac{3}{5}[/tex]
[tex]\text{Experimental probability}=0.6[/tex]
A coin has two sides one is heads and another is tails. So, the theoretical probability of flipping heads is:
[tex]\text{Theoretical probability}=\dfrac{1}{2}[/tex]
[tex]\text{Theoretical probability}=0.5[/tex]
Therefore, the experimental probability of flipping heads is 0.6 and the theoretical probability of flipping heads is 0.5. So, the experimental probability is greater than the theoretical probability of flipping heads.
Someone help plz make sure it’s right no websites plz if right will mark brainiest
Answer:
Step-by-step explanation:
tangent is oppisite over adjacent so 24/32 which simplifies to 3/4
Answer:
3/4
Step-by-step explanation:
Tan A= Opp/ Adj
Tan A= 24/ 32
Tan A= 3/4
Find mZWZY.
(5x + 4)
(6x)
Match the function with the graph.
Pls help!
Answer:
C.
Step-by-step explanation:
Need help fast
Thank you !!!!
Answer:
B) height = 5√3
Step-by-step explanation:
height² = 10² - 5² = 100 - 25 = 75
height = √75 = 5√3
In the figure shown
A) 4
B)12
C)26
D)34
HELP ASAP WILL MAKE BRIANLIEST
Answer:
C
Step-by-step explanation:
x+8+2x+4=90
3x+12=90
3x=78
x=26
what is smallest positive difference between two fractions, if the denominator of one fraction is 5 and the denominator of the other is 9
WHO EVER ANSWERS FIRST AND CORRECTLY GETS TO BE BRAINLIEST
Answer:
4?
Step-by-step explanation:
I dont think its right because i dont know how can it be four its just a guess :)
ASAP someone please put these answers in scientific notation.
pls help its not for me but could you still help my brother?
Answer:
C
Step-by-step explanation:
The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105? F لا | 1 1 3 H 7 J 15
Answer:
J. 15Step-by-step explanation:
Direct variation formula:
y = kx, k- coefficient of proportionalityGiven:
x = 3, y = 21Find k:
21 = 3kk = 7Value of x, when y = 105
105 = 7xx = 105/7x = 15Correct choice is the last one
which expression represents 12x³-6x²+2x /
2x in simplest form?
Answer:
[tex]6x^{2} -3x+1[/tex]
Step-by-step explanation:
[tex]2x(6x^{2} -3x+1)/2x\\[/tex]
cancel 2 x
[tex]6x^{2} -3x+1[/tex]
UM OKAY PLEASE ANSWER, I NEED TO GET THIS RIGHT LOL
Answer:
$210.25
Step-by-step explanation:
The fifth term in the expansion of (n + 3)6
Answer:
Step-by-step explanation:
i am assuming this is (n+3)^6 if so
729+1458x+1215x^2+540x^3+135x^4+18x^5+x^6
the fifth term is 135x^4
The fifth term of the expression (n + 3)⁶ is 1,215n².
What is binomial theorem?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem.
The given expression is,
(n + 3)⁶.
To find the fifth term in the expression,
Use binomial expansion method,
[tex](x+y)^n = ^{n}C_0 x^nny^0 + ^nC_1 x^{n-1}y^1 + ^nC_2 x^{n-2} y^2 + ...[/tex]
Use the binomial formula for expression (n + 3)⁶,
[tex](n+3)^6 = ^6C_0n^63^0 + ^6C_1n^53^1 + ^6C_2n^43^2 +^6C_3n^33^3 + ^6C_4n^23^4 + ^6C_5n^13^5 + ^6C_6n^03^6[/tex]
The fifth term of the expression is [tex]^6C_4n^23^4[/tex].
The term [tex]^6C_4n^23^4[/tex] can be simplified as,
[tex]^6C_4n^23^4[/tex] = 15 x n² x 81 = 1215n².
The fifth term of the expression (n + 3)⁶ is 1,215n².
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Please help!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP!!!!!!!
0.8333 and 0, which of these are are rational numbers? Please explain in the space below.
Answer:
0 is the rational number
Step-by-step explanation:
Yes, 0 is the rational number. Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to zero. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.
Answer:
I think 0.8333
Step-by-step explanation:
a rational number has decimals which terminate or repeat,so 0.8333 has decimals which are repeating
lauren spent $3.26 for lunch on Tuesday she spent $1.98 on Wednesday and $2.74 on Thursday list the price in ascending order
Answer:
1.98, 7.74, 3.26
Step-by-step explanation:
I listed them from Smalest to largest 1.98 being samller than 2.74 and 2.74 being smaller than 3.26.
Hope this helped :)
Combine like terms to determine which expression with 2 terms is equivalent to 5x + 16y + 8x + 2y.
Answer:
you look for the same variables with the same powers
y: 16y +8y = 24y
x: 8x - 7x = x
y^2: 2y^2
and sum it all together at the end
Step-by-step explanation:
An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees?
84 + 2z = 180
84 + 2z = 180
42 + z = 180
42 + z = 180
84 + z = 180
84 + z = 180
42 + 2z = 180
Answer:
84 +z= 180
Step-by-step explanation:
Bases of an isosceles ∆ are equal so 42+42= 84