DeMarcus is organizing a group of friends to attend a concert.
The ticket pricing is shown in the table below. Use the information
to create a graph and answer the questions.
Miu
# OF TICKETS
2
3
5
7
TOTAL COST ($)
32
48
80
112
16
9
14
126
IDS
84
63
42
1. Rate of Change:
Equation:
2. What does the ordered pair (1, 16) represent in this situation?
212
1234
078410
3. Describe how you know that this is a proportional relationship:
Answers
Answer:
Give me some hint please
The rate of change is 16, the equation is y = 16x, the (1,16) represents that the cost of 1 ticket is $16 and by y = 16x it is clear that it is a direct proportion.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
The table of tickets and their cost is given,
The graph of it has been plotted below,
The rate of change or slope = (48 - 32)/(3 - 2) = 16
The equation is y = mx + c where m is the slope and it is 16
So, y = 16x + c
Now substitute (2,32)
32 = 2(16) + c
c = 0
So the equation becomes y = 16x
Since y = kx is a direct proportional equation so it will be also direct proportionally.
In (1,6) , 1 = number of ticket , 16 = cost of ticket so it is $16.
Hence "The rate of change is 16, the equation is y = 16x, the (1,16) represents that the cost of 1 ticket is $16 and by y = 16x it is clear that it is a direct proportion".
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Related Questions
7(x+2)-5(x+3=9(4-x)
Answers
Answer:
x = 37/11
Step-by-step explanation:
7(x + 2) - 5(x + 3) = 9(4 - x)
=> 7x + 14 - 5x - 15 = 36 - 9x
=> 2x - 1 = 36 - 9x
=> 11x = 37
=> x = 37/11
Hoped this helped.
Write a differential formula that estimates the change in volume of a sphere when the radius changes from
Answers
Answer:
d.
took the test
Step-by-step explanation:
6 times 8 = ? times 6
Answers
6 * 8 = 48
6 • 8 = 48
6(8) = 48
48 * 6
= 288
Answer:288
Step-by-step explanation:
6×8=46 and
46×6=288
There are 30 puzzle books on a shelf. The number of puzzle books is 25 of all the books on the shelf.
What is the total number of books on the shelf?
Enter your answer in the box.
books
hurry ill give brainliest answer
Answers
The total number of books on the shelf is 12 books
Given the following parameters
Total number of puzzle books on the shelf = 30 books
If the number of puzzle books is 25 of all the books on the shelf, the total number of books on the shelf is expressed as:
= 2/5 of 30
= 2/5 * 30
= 2 * 6
= 12
Hence the total number of books on the shelf is 12 books
Learn more here: https://brainly.com/question/13885389
Answer:
75
Step-by-step explanation:
If you start with 85 milligrams of Chromium 51, used to track red blood cells, which
has a half-life of 27.7 days.
How long will it take for 90% of the material to decay?
Answers
About 92 days are taken for 90 % of the material to decay.
The mass of radioisotopes ([tex]m[/tex]), measured in milligrams, decreases exponentially in time ([tex]t[/tex]), measured in days. The model that represents such decrease is described below:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m_{o}[/tex] - Initial mass, in milligrams.[tex]m(t)[/tex] - Current mass, in milligrams.[tex]\tau[/tex] - Time constant, in days.In addition, the time constant is defined in terms of half-life ([tex]t_{1/2}[/tex]), in days:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)
If we know that [tex]m_{o} = 85\,mg[/tex], [tex]t_{1/2} = 27.7\,d[/tex] and [tex]m(t) = 8.5\,mg[/tex], then the time required for decaying is:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]
[tex]\tau = \frac{27.7\,d}{\ln 2}[/tex]
[tex]\tau \approx 39.963\,d[/tex]
[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]
[tex]t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}[/tex]
[tex]t\approx 92.018\,d[/tex]
About 92 days are taken for 90 % of the material to decay.
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which reason would be used to justify the last step in the proof below
Answers
Answer:
1.
Step-by-step explanation:
Use the dropdown menus to write an equation with infinitely many solutions.
4(2x + 3) – x =
A. 4 B. 5 C. 6 D. 7
x +
A. 12 B. 15 C. 16 D. 18
Answers
Answer:
4(2x + 3) - x = 7x + 12
Explanation:
That's what T4L/Edge said
PLS HELP 50 POINTS!!!! NEED THIS IN 1 HOUR!!!
Which equation justifies why nine to the one third power equals the cube root of nine?
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third plus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the one third minus three power equals nine
nine to the one third power all raised to the third power equals nine raised to the three minus one third power equals nine
Answers
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
Step-by-step explanation:
we know that
The Power of a Power Property , states that :To find a power of a power, multiply the exponents
so
In this problem we have
Remember that
Raise to the third power
Applying the power of power property
therefore
nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine
Answer:
You’re already a hero!
Helping others is the best! We’re sure you can give a great answer.
Step-by-step explanation:
I need help plzzzzzzzz
Answers
Answer:
51
Step-by-step explanation:
Given:
c=3
d = 7
thus just substitute it in.
15+(3)^2 * (7) - (3)^3
15 + 9*7-27
15+63-27
=51
Medicine is used by the body at a rate of 10% per hour.
Is this situation discrete or continuous?
A. discrete
B. continuous
Answers
Answer:
your answer is B
Step-by-step explanation: if its at a rate of 10% an hour that is a continuous rate
System of equations pls help me
Answers
Answer:
(4,4)
Step-by-step explanation:
We can solve this system of equations using the elimination method.
In order to use the elimination method there must be two variables with the same coefficient. Note that the coefficients don't have to have the same sign ( eg. 6 and -6 would work ). If there are two similar variables with similar coefficients then you can add or subtract, depending on the signs of the coefficients, the two equations "eliminating" the variable. There would then be one variable left over in which you can solve for.
For this case, both equations have 7x, one negative 7 and one positive 7. When the signs are different you add the two equations. So our first step is to add the two equations
7x - 4y = -44
+ (-7x -3y = 16 )
-----------------------
Remove parenthesis
7x -4y = -44
-7x -3y = +16
------------------
0x - 7y = -28
We are left with -7y = -28.
Because there is now only one variable, we can solve for it.
-7y = -28
divide both sides by -7
y = 4
Now we want to find the value of x. We can do this by plugging in the value of y into one of the equations and then solving for x. Note that we can plug in 4 for y into either equation and solve for x and we would get the same answer.
7x - 3y = 16
y = 4
7x - 3(4) = 16
multiply 4 and -3
7x - 12 = 16
add 12 to both sides
7x = 28
divide both sides by 7
x = 4
So x = 4 and y = 4 so the solution to the system of equations is (4,4)
In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?
Answers
Answer:
2035
Step-by-step explanation:
2010=100g
2020=70
100-70=30
70-30=40
2030=40
Answer:
Somewhere in 2038
Step-by-step explanation:
In 2010 in there was 100g of a certain radioactive isotope
In 2020 now there’s 70g of a certain radioactive isotope
what changed,?
In 10 years they lost 30g of radioactive isotope
Therefore
Year 2030 there will be 50g
Year 2035 there will be 35g
Year 2040 there will be 20g
But we want to get 25g in how many years
1 year takes 3g
2 year takes 6g
3 year takes 9g
4 year takes 12g
But we need to take away 10g from 35 so it’ll be between somewhere between 2038 maybe half year..
4x – 5y = 15
m=
b=
(I need to graph the linner equation)
Answers
Answer:
yea I agree that this is correct and it's 15 and it's 4x
What is the measure of
Answers
Answer:
45 degrees
Step-by-step explanation:
90+45+45=180 degrees
:))
Answer:
[tex]m\angle A=45\textdegree[/tex]
Step-by-step explanation:
All triangles have a sum of 180°. The problem shows us that two of the angles are 90° and 45°. Therefore, the last angle is 45°.
[tex]m\angle A+45+90=180\\m\angle A+135=180\\m\angle A=45[/tex]
2H20 1) How many hydrogen atoms are represented by this much water? A) 1 B) 2 0.4 D) 6
Answers
2 hydrogen atom in the water molecule
H2O
Which equation is the inverse of y = x2 +4?
y =-VI- 4
b. y = x-4
a
Cy=Vx+4
d. y= -x - 4
Anyone know the answer
Answers
Answer:
B. [tex]y=\pm\sqrt{x-4}[/tex]
Step-by-step explanation:
Swap the positions of the x and y variables then solve for y again.
[tex]y=x^2+4\\\\x=y^2+4\\\\x-4=y^2+4-4\\\\x-4=y^2\\\\\sqrt{x-4}=\sqrt{y^2}\\\\\pm\sqrt{x-4}=y[/tex]
pls help me find the answer-
Answers
Answer:
answer in pic, hope it helps
What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by =2.2+1.2
y
=
2.2
x
+
1.2
.
Group of answer choices
=−2.2+11
y
=
−
2.2
x
+
11
=2.2−11
y
=
2.2
x
−
11
=−2.2−5
y
=
−
2.2
x
−
5
=2.2+5
Answers
Free pointzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
A car moving at a constant speed passed a timing device at t = 0. After 6 seconds, the car has traveled 534 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answers
Answer:
d = 89t
Step-by-step explanation:
d = distance --- t = timing device --- x = speed or feet per x
d = tx
linear equation from this (SOLVE) --> 534 = 6x ---> 89 = x
linear equation --> d = 89t
Answer:
[tex]f(x)=89x[/tex]
Step-by-step explanation:
With the given information, you have 2 points.
1. (0, 0)
2. (6, 534)
With 2 points, you can calculate the slope of the linear function.
[tex]m=\frac{y2-y1}{x2-x1} \\m=\frac{534-0}{6-0} \\m=\frac{534}{6} \\m=89[/tex]
Finally, you can write a function:
[tex]f(x)=mx+b[/tex]
No need to calculate the y-intercept as thats already given in point (0, 0).
[tex]f(x)=89x+0\\f(x)=89x[/tex]
The temperature at 6 am was −3°C. By lunch time the temperature had risen by 5°C. What was the temperature at lunch time?
Answers
Answer:
2°C
Step-by-step explanation:
just add 5 to -3
-3+5=2
so ur answer is 2
Nina paid $37.57 for 13 gallons of gas Fred paid $55.67 for 19 gallons of gas Eleanor paid $48.62 for 17 gallons of gas. Who got the best buy?
(Find the unit price for each
Answers
Answer:
Nina paid $2.89 per gallon.
Fred paid $2.93 per gallon.
Elanor paid $2.86 per gallon.
Elanor got the best deal.
Step-by-step explanation: Simple division, and if you don't know how to, just learn it or use a calculator.
Answer:
Eleanor because they paid the lowest.
Step-by-step explanation:
N=Nina F=Fred E=Eleanor
N 37.57/13=2.89 per gallon
F 55.67/19=2.93 per gallon
E 48.62/17=2.86 per gallon
please help mee
i’ve been on this for so long
Answers
Angle PQ = Angle RQ
Line PQ = Line QR
(some added things because mathswatch likes them!!)
Which expression is equivalent to the following complex fraction?
1
1
2
o
x-1
2x
架
0
2
2x-2
O
X
0
2x
X-1
Answers
Answer:(1-(1/x))/2
Step-by-step explanation:
(1-(1/x))/2
We can multiply both sides by x:
Top: x(1-(1/x)) = (x - 1)
Bottom: 2x
(1-(1/x))/2
if there are 139,799,000 square miles of water on earth what percent is left on earth that is not covered in water
Answers
The percentage of earth that is not covered in water is given by the equation A = 29 %
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total area of earth be = 196,900,000 square miles
And , 71% of Earth’s surface is covered in water
So ,
Percentage of earth's surface covered in water = 71 %
And , area of earth covered by water = 139,799,000 square miles
Substituting the values in the equation , we get
So , the remaining percentage of earth not covered in water A = 100 - 71
On simplifying the equation , we get
Remaining percentage of earth not covered in water A = 29 %
The remaining area of earth = 0.29 x 196,900,000
The remaining area of earth = 57,101,000 miles²
Therefore , the value of A is 29 %
Hence , the percentage is 29 %
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True or false: When testing the difference between two population means it is unlikely that one would know the value of the population variances.
Answers
………
Janie has "buy one get one free" tickets to the comedy club. She is bringing 7 people, including herself.
If the regular price is $12.25 per person, how much change will she have left from a $100 bill?
$63.25
$57.00
$51.00
$14.25
Answers
Answer:
$51.00
Step-by-step explanation:
12.25x 4 people is $49
$100-$41=$51
how do you read real life graphs?
Answers
Answer:
"To interpret a graph or chart, read the title, look at the key, read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed."
Step-by-step explanation:
Given: 8x - 3y= -21, 3x + y = -10; prove x= -3
Answers
3x+y=-10
Substitute the value of y
8x-3y=-21
y=-10-3x
8x-3(-10-3x)=-21
x=-3
Select the correct answer. You’re laying a new kitchen floor with square tiles that are one yard by one yard. Your rectangular kitchen is 24 feet by 33 feet, and each tile costs $54. You determine that the tiles will cost you $3,960. If you made a mistake in your pricing estimate, what most likely occurred?
A. You determined the number of tiles was 19 instead of 88.
B. You multiplied the number of tiles by $45 instead of $54.
C. You calculated the dimensions of your kitchen to be 3 yards by 4 yards instead of 8 yards by 11 yards.
D. No mistake was made.
Answers
Answer: Your estimate is wrong, and it should be $4,752
Step-by-step explanation:
We are given that:
Size of tile = 1yard by 1yard
Let convert yard to feet, so as to find the covered by the tile in feet.
Since 1yard = 3feet
Size of tile = 3feet by 3feet
Area cover by tile = 3x3 = 9ft²
Size of kitchen floor = 24ft by 33ft
Area covered by floor = 24 x 33 = 792ft²
Total number of tile needed for the kitchen floor = Area of kitchen/Area of tiles
= 792/9
= 88 tiles
Given that each tile cost $54
Total cost of 88 tiles = 54 x 88 = $4752
Therefore the answer is
B. Your estimate is wrong, and it should be $4,752