What is x if f(x)=-2
Answers
f(x) = -2
f(x) is the same thing as x
f(x) is the same thing as -2
Now think about it. If f(x) and -2 are the same thing, what is x?
Related Questions
The Excel Cable Company has a monthly fee of $32.00 and an additional charge of $8.00 for each premium channel. The Best Cable Company has a monthly fee of $26.00 and an additional charge of $10.00 for each premium channel. The Horton family is deciding which of these two cable companies to subscribe to. For which number of premium channels will be the total monthly subscription fee for the excel and best cable companies be the same
Answers
Answer:
We can set up the following equation:
Excel Cable Company fee = Best Cable Company fee
32 + 8x = 26 + 10x
Here, x represents the number of premium channels. We can solve for x by subtracting 26 from both sides and then dividing both sides by 2 to get:
6 + 6x = 10x
6 = 4x
x = 6/4
x = 1.5
Therefore, the total monthly subscription fee for the Excel and Best cable companies will be the same for 1.5 premium channels. Note that this is not a whole number, so it is not possible for the subscription fees to be the same for a whole number of premium channels
Answer: 3 channels
Step-by-step explanation:
The ECC has an initial fee of $32.00 with a $8.00 fee for each channel, so we can label that as Total = 8(x) + 32.00.
The BCC has an initial fee of $26.00 with a $10.00 fee for each channel, so we can label that as Total = 10(x) + 26.00.
Since we want to find how many premium channels each company needs till the monthly subscription rate will be equal, we can set those equal to eachother.
8x + 32.00 = 10x + 26.00
2x = 6
x = 3, so when each company has 3 premium channels used, the prices will be the same.
Find the area of each regular polygon. Leave answer in simplest form.
Answers
The areas of the regular polygons are listed below:
Case 8: A = 166.277
Case 10: A = 166.277
Case 12: A = 779.423
Case 14: A = 905.285
Case 16: A = 678.964
Case 18: A = 332.554
Case 20: A = 1122.369
Case 22: A = 166.277
How to determine the area of a regular polygon
In this problem we must determine the areas of eight regular polygons, whose formula is now shown below:
A = 0.5 · (n · l · a)
a = 0.5 · l / tan (180 / n)
Where:
a - Apothemal - Side lengthn - Number sidesNow we proceed to determine the area of each polygon:
Case 8:
l = 2 · a · tan (180 / n)
l = 2 · 4√3 · tan 30°
l = 8√3 · (√3 / 3)
l = 8
A = 0.5 · (n · l · a)
A = 0.5 · 6 · 8 · 4√3
A = 166.277
Case 10:
a = 0.5 · l / tan (180 / n)
a = 0.5 · 8 / tan 30°
a = 4 / (√3 / 3)
a = 4√3
A = 0.5 · (n · l · a)
A = 0.5 · 6 · 8 · 4√3
A = 166.277
Case 12:
a = 0.5 · l / tan (180 / n)
a = 0.5 · 10√3 / tan 30°
a = 5√3 / (√3 / 3)
a = 15
A = 0.5 · (n · l · a)
A = 0.5 · 6 · 10√3 · 15
A = 779.423
Case 14:
l = 2 · a · tan (180 / n)
l = 2 · (28√3 / 3) · tan 30°
l = (56√3 / 3) · (√3 / 3)
l = (56 · 3 / 9)
l = 56 / 3
A = 0.5 · (n · l · a)
A = 0.5 · [6 · (56 / 3) · (28√3 / 3)]
A = 905.285
Case 16:
l = 2 · a · tan (180 / n)
l = 2 · 14 · tan 30°
l = 28 · √3 / 3
l = 28√3 / 3
A = 0.5 · (n · l · a)
A = 0.5 · 6 · (28√3 / 3) · 14
A = 678.964
Case 18:
l = 2 · a · tan (180 / n)
l = 2 · 8 · tan 60°
l = 16√3
A = 0.5 · (n · l · a)
A = 0.5 · 3 · 16√3 · 8
A = 332.554
Case 20:
a = 0.5 · l / tan (180 / n)
a = 0.5 · 12√3 / tan 30°
a = 6√3 / (√3 / 3)
a = 18
A = 0.5 · (n · l · a)
A = 0.5 · 6 · 12√3 · 18
A = 1122.369
Case 22:
a = 0.5 · l / tan (180 / n)
a = 0.5 · 8 / tan 30°
a = 4 / (√3 / 3)
a = 4√3
A = 0.5 · (n · l · a)
A = 0.5 · 6 · 8 · 4√3
A = 166.277
To learn more on areas of regular polygons: https://brainly.com/question/32319474
#SPJ1
Find the area of the shape:
Answers
Answer:
(8×6)+2×((14+6)×6)
=48+2×(20×6)
=48+240
=288
Step-by-step explanation:
please mark me as brainliest
Find all solutions of the equation 2 sinx cos2x - cos2x = 0 over the interval 0
Answers
The solutions of the equation 2sin(x)cos(2x) - cos(2x) = 0 over the interval 0 < x ≤ π are x = π/4, π/6, 3π/4, 5π/6.
To find the solutions of the equation 2sin(x)cos(2x) - cos(2x) = 0 over the interval 0 < x ≤ π, we can factor out cos(2x) from the equation:
cos(2x)(2sin(x) - 1) = 0
Now we have two possible cases:
Case 1: cos(2x) = 0
To find the solutions of cos(2x) = 0, we can set 2x equal to π/2 or 3π/2, within the given interval:
2x = π/2 or 2x = 3π/2
Solving for x:
x = π/4 or x = 3π/4
Both π/4 and 3π/4 are within the interval 0 < x ≤ π.
Case 2: 2sin(x) - 1 = 0
To find the solutions of 2sin(x) - 1 = 0, we can solve for sin(x):
2sin(x) = 1
sin(x) = 1/2
This equation is satisfied when x equals π/6 or 5π/6 within the given interval:
x = π/6 or x = 5π/6
Both π/6 and 5π/6 are within the interval 0 < x ≤ π.
Therefore, the solutions of the equation 2sin(x)cos(2x) - cos(2x) = 0 over the interval 0 < x ≤ π are:
x = π/4, π/6, 3π/4, 5π/6.
Correct Question :
Find all solutions of the equation 2sin x cos2x-cos2x=0 over the interval 0<x<=pi.
To learn more about solutions here:
https://brainly.com/question/2494729
#SPJ4
9. a plane flies from base camp to lake a, 280 km away, in a direction of 200 north of east. after dropping off supplies it flies to lake b, which is 190 km at 30 0 west of north from lake a. graphically and check using trig, determine the distance and direction from lake b to camp.
Answers
The distance from lake b to camp is 310 km and the direction of lake b to camp is 57° S of W.
Distance is a numerical value. The length between the two points is measured by distance. The face or position of an object or person can be said by direction.
There are four cardinal directions which are the main four compass directions. The four directions are North, East, West and South. North-East, North-West, South-East and South-West also come under directions.
As per the question,
Distance from base camp to lake a = 280 kmThe direction of the plane = 20.0° north of east Distance to lake b = 190 kmThe direction of the plane = 30.0° west of northWith a scale of unit 1, the vector from the base camp to the lake to the vector connecting lakes a and b is graphically represented.
Therefore, 310 km is the distance from the lake b to base camp and 57.0° south of west is the direction of the plane.
To know more about distance and direction refer to:
https://brainly.com/question/26550516
#SPJ4
engineers must consider the diameters of heads when designing helmets. the company researchers have determined that the population of potential clientele have head diameters that are normally distributed with a mean of 6.2 inches and a standard deviation of 1.2 inches. management has decided that the helmets do not have to fit the people with the 6% largest heads. what is the maximum head diameter (in inches) the engineers should design the helmet for? round to 3 decimal places.
Answers
What is standard deviation?
The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
What does a standard deviation of 1 mean?
What one standard deviation (SD) means. on a normal or bell-shaped distribution of the data. The region of a bell curve starting at position 13 on the y axis is roughly filled by 1 SD = 1 Standard deviation = 68% of the scores or data values.
Solution
Given that,
mean = 6.2
standard deviation = 1.2
The z - distribution of the 6 % is,
P( Z < z ) = 6 %
P( Z < z ) = 0.006
P( Z < -1.866) = 0.006
z = -1.866
The z - distribution of the 6 % is,
P( Z > z ) = 6 %
1 - P( Z < z ) = 0.006
P( Z < ) = 1 - 0.006
P( Z < z ) = 0.994
P( Z < 1.866 ) = 0.994
z = 1.866
Using z - score formula,
X = z * σ + µ
= -1.866 * 1.2 + 6.2
= 3.9608
The minimum head diameter that will fit the clientele is,
min = 3.9608
and
Using z - score formula,
X = z * σ + µ
= 1.866 * 1.2 + 6.2
= 8.4392
The maximum head diameter that will fit the clientele is,
max = 8.4392
Learn more about the standard deviation here:
https://brainly.com/question/475676#:~:text=This%20is%20Expert%20Verified%20Answer&text=Standard%20deviation%20is%3A%20It%20is,squared%20differences%20from%20the%20Mean.
#SPJ4
Rhonda has one sheet of paper. She cuts it into thirds and stacks the 3 sheets. If she completes this process a total of 5 times, how many sheets thick will the resulting stack be? by the way sh only has to complete the process 27 before it reaches the moon.
Answers
15 stacks high or 405 if done 27 times
Answer:
15 stacks
If she does it for 27 more times it will be
405
A fence post that is 5 feet tall casts a 2-foot shadow at the same time that a tree that is 27 feet tall casts a shadow in the same direction. Determine the length of the tree's shadow.
Answers
Answer:
10.8 feet
Step-by-step explanation:
You want the length of the shadow of a 27 ft tree if a 5 ft post casts a 2 ft shadow.
ProportionThe shadow length is proportional to the object height, so you have ...
(tree shadow)/(tree height) = (post shadow)/(post height)
x/(27 ft) = (2 ft)/(5 ft)
x = (27 ft)(2/5) = 10.8 ft
The length of the tree's shadow is 10.8 feet.
<95141404393>
To decide the length of the tree's shadow, we can utilize the idea of comparable triangles. Length of the Tree = 10.8 feet..
Since the wall post and the tree are both creating shaded areas simultaneously, we can set up an proportion between their heights and the lengths of their shadows.
We should indicate the length of the tree's shadow as x. We have the following proportion: (height of tree)/(length of tree's shadow) = (height of wall post)/(length of wall post's shadow).
Substituting the given qualities, we have: 27 ft/x = 5 ft/2 ft.
We can cross-multiply to solve for x: 27 ft * 2 ft = 5 ft * x.
Working on the equation gives us: 54 ft = 5 ft * x.
Simplifying the two sides by 5 ft provides us with the length of the tree's shadow: x = 54 ft/5 ft , x = 10.8 feet.
Calculating the expression offers us the last response, which is the length of the tree's shadow in feet.
To learn more about Numerical Problems,
https://brainly.com/question/31252014
Mini Blenders Inc. has come up with a unit selling price of $15.00. Their Fixed costs are $30,000 for the year, during which 15,000 units are expected to be sold. A 25% profit margin on sales is included in the selling price. What is MBI's % profit on cost? 33.33% 0.30% O 50% O22% 25%
Answers
MBI's % profit on cost is 33.33%.
To calculate the % profit on cost, we need to determine the profit and divide it by the cost.
The selling price of each unit is $15.00, and 25% of this price is the profit margin, which is $15.00 * 25% = $3.75.
The cost per unit is the selling price minus the profit margin, which is $15.00 - $3.75 = $11.25.
The total cost for producing 15,000 units is $11.25 * 15,000 = $168,750.
The profit is the difference between the total revenue and the total cost, which is $15.00 * 15,000 - $168,750 = $81,250.
The % profit on cost is the profit divided by the cost, multiplied by 100: ($81,250 / $168,750) * 100 ≈ 48.15%.
Therefore, the correct answer is not provided in the given options. The closest option to the calculated result is 50%, but the actual % profit on cost is approximately 48.15%.
To know more about "Total revenue" refer here:
https://brainly.com/question/10822075#
#SPJ11
A public company provides you the following data:
Qualified SRED Expenses for this current year: $10,000
Last year's Taxable Loss: ($50,000)
This year's part I tax before SRED is $1,500
The SRED Credit remainder after applying the maximum SRED Credit for this year is?
$50
$100
$0
$1,500
Answers
The SRED Credit remainder after applying the maximum SRED Credit for this year is $0.
The Scientific Research and Experimental Development (SRED) program provides tax incentives for companies conducting eligible research and development activities. The SRED credit is calculated based on qualified SRED expenses and can be used to reduce the tax liability of a company.
In this case, the qualified SRED expenses for the current year are $10,000. However, the SRED credit remainder is determined after applying the maximum SRED credit for the year. Since the maximum SRED credit has already been applied, the remaining SRED credit is $0.
The taxable loss from the previous year ($50,000) and the part I tax before SRED ($1,500) are not directly relevant to determining the SRED credit remainder. The maximum SRED credit has already been utilized, resulting in a remaining credit of $0.
Learn more about SRED here:
https://brainly.com/question/33655978
#SPJ11
2.9 x 10^5 + 8.7 x 10^5
Answers
Answer:
So this is scientific notation what you do is
2.9x10^5 so you put however many zeros the is powered to 10. See there is a 5 It has to be behind or in front of the decimal you might be saying how do you know if its behind or in front well negative is in front and positive is behind .
290,000 there was a number already behind the decimal so there you go 5 number behind the decimal.
Same for the second one
290,000 870,000 is your answers so now you add hem together
1,160,000 is your final answer
Step-by-step explanation:
Y=x-10 Y=-4x-5
Solve using substitution
Answers
Answer:
x = 1
Step-by-step explanation:
Both equations can be set equal to each other since they are both equal to y:
\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)
equate both equations !
x - 10 = -4x - 5
5x - 10 = -5
5x = 5
x = 1
therefore x = 1
Compare: 10 quarts and 2.5 gallons *
10 quarts > 2.5 gallons
10 quarts < 2.5 gallons
10 quarts = 2.5 gallons
Answers
X+5x -9 + XY - 2 -3X +2XY - 4 -3XY
Answers
Answer:
3x-15
Step-by-step explanation:
> First start off by rewriting with each term that has the same variable beside each other
5x+ x -3x+xy+2xy-3xy-4-2-9
> Start to combine like terms
3x + 0xy - 15
> Rewrite
3x-15
this is the pond in the shape of a prism
Answers
Answer:
pta nhi????????????????
Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music
he is supposed to be working on. He has 80 minutes to practice piano and would like to spend at least 45
minutes playing songs instead of practicing scales. So, Sven sets up the following inequality, where t is
the number of minutes he spends on each scale, and solves it.
80-5t < 45
-5t -35
t≥7
Answers
Step-by-step explanation:
i thank the answer is 10.5 thanks for your question
the teacher workroom has a small room used for the meetings that it shaped like a square . if one wall measures 8 feet what is the area of the floor of that meeting room
Answers
The area of the teacher workroom is 64 feet squared
An independent basic service set (IBSS) consists of how many access points?
Answers
An independent basic service set (IBSS) does not consist of any access points.
In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.
Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.
To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.
Know more about access points here,
https://brainly.com/question/11103493
#SPJ11
\(Y - 3 = X + 2 2X - 1 = Y\)
Answers
Step-by-step explanation:
that's look so complicated lol
Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.
Answers
1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:
Volume = 3 cm x 3 cm x 3 cm = 27 cm³.
Therefore, the volume of the cube is 27 cubic centimeters.
1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:
Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.
Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:
Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.
Therefore, the mass of the water cube is 27 grams.
1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.
Therefore, the weight of the water and the ice would be the same under the same conditions.
1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.
When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.
In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
Learn more about cube;
brainly.com/question/15420947
#SPJ4
Timothy has read 8/9 of the book Holes. Tara has read 2/3 of the book. Phillip reads 4/5 of the book. who read the most
Answers
Answer: Timothy
Step-by-step explanation:
8/9=0.8888888889
2/3=0.6666666667
4/5=0.8
At David's Swimwear, 50% of the 36 swimsuit styles are bikinis. How many bikini styles are there?
Answers
9514 1404 393
Answer:
18
Step-by-step explanation:
50% × 36 = 0.50 × 36 = 18
There are 18 bikini styles at David's Swimwear.
Answer:
18 bikini styles.
Step-by-step explanation:
Divide 36 by 2.
let say that x, y, z are regular unix user processes and x’s parent is y and y’s parent is z. when process y dies, what would happen?
Answers
The exact behavior and consequences depend on the Operations system's process management mechanisms and the actions taken by process z or the system's process manager.
When process y dies, the Operations system handles the termination of the process and performs certain actions related to its termination. Here are the likely outcomes when process y, with process x as its child and process z as its parent, dies:
1. Process y's termination: When process y dies, the operating system marks it as terminated and frees up any system resources that were allocated to it. This includes releasing memory, closing file descriptors, and removing its entry from the process table.
2. Parent-child relationship: Since process x is the child of process y, the operating system updates the parent-child relationship. Typically, when a parent process dies, the child process is reassigned to another process called the init process or is terminated if no other process adopts it. The exact behavior depends on the operating system's process management policies.
3. Process z's status: Process z, being the parent of process y, may receive a notification or a signal indicating the termination of its child process. The operating system usually sends a SIGCHLD signal to the parent process, allowing it to handle the termination of its child process appropriately. Process z can choose to ignore the signal or perform actions such as cleaning up resources or spawning a new child process to replace the terminated one.
4. Orphaned process: If process z does not handle the termination of process y appropriately or if process z itself terminates before process y, process x becomes an orphaned process. Orphaned processes are typically adopted by the init process or the system's process manager, ensuring that they are handled and terminated properly.
In summary, when process y dies, the operating system marks it as terminated, updates the parent-child relationship, and may notify process z. The exact behavior and consequences depend on the operating system's process management mechanisms and the actions taken by process z or the system's process manager.
For more questions on Operations .
https://brainly.com/question/27079573
#SPJ8
Patrick is collecting data on shoe sizes available at a shoe store. What type of data is this?.
Answers
Answer:
Patrick is collecting data on shoe size. What type of data is this? Shoe size is discrete quantitative data because it only takes on certain values, such as 5, 5.5, 6, 6.5, etc.
I- $8,950
R- 6.85%
T- 6 years
Answers
Answer:
$4,368
Step-by-step explanation:
This is compound interest. and to calculate compound interest, which is (Amount - Principal) but we dont know the value for amount so we find the amount first by using the formula.
A = P ( 1 + R ) ^n
100
where p = principal ($8,950)
a = amount (?)
r = interest rate (6.85%)
n = time ( no of years) (6)
A = 8,950 ( 1 + 6.85 ) ^6
100 A = 8,950 ( 1 + 0.0685) ^6
A = 8,950 ( 1.0685) ^6
A = 8950 x 1.4881 A = 13,318
WE THEN FIND COMPUND INTEREST C = A MOUNT - PRINCIPAL
13, 318 - 8950 = $4,368
What is the output value for the following function if the input value is 4?
y = (6.5) x - 9.5
Answers
When the input value is 4, we may enter x = 4 to determine the output value (y) for the given function:
What is output value?
y = (6.5) * 4 - 9.5
Calculating this expression:
y = 26 - 9.5
y = 16.5
As a result, if the input value is 4, the function's output value (y) is 16.5.
Learn more about output value here
brainly.com/question/29167026
#SPJ1
A building in a city has a rectangular base. The length of the base measures 60ft less than three times the width. The perimeter of the base is 840ft. What are the dimensions for this base?
The width of the base is __ft
Answers
Answer:
The width of the base is 120ft. The length of the base is 60ft less than three times the width [1][2], so the length of the base is 180ft. Therefore, the dimensions of the base are 120ft x 180ft.
HELP ASAP WILL MARK BRAINLIEST
Answers
Answer:
6 ride passes
4 additional items
Step-by-step explanation:
11.
\(T=5.50R+10*7.25\)
\(for T=105.50\)
\(R=6\)
While
T is total cost.
R number of ride passes.
12.
\(T=1.25n+4.75\)
\(for T=9.75\)
\(n=4\)
While
T is total paid.
n is number of addition items.
Please help with the square roots
Answers
Step-by-step explanation:
-√81=-√(9)²=-9
A number inside a Square root cannot ne negative. So, the second one is not a real no.
Answer:
\( - \sqrt{81} = - 9 \\ \sqrt{ - 25 = - 5} \)
Step-by-step explanation:
-81/9 9+9+9+9+9+9+9+9+9(81)
-9
-25/5 (5+5+5+5+5(25)
-5
A car’s ten-gallon gas tank is one-fourth full. If Stacey fills up the tank with gas prices at $2.98 a gallon and pays with $25.00, how much change will she receive? (Assume there is no sales tax.)
Answers
Since the tank is one-fourth full, it means it is three-fourths empty:
\(\frac{4}{4}-\frac{1}{4}=\frac{3}{4}\)Also, the volume of the tank is 10 gallons. So, we need to multiply 10 by 3/4 to find out how many gallons Stacey needs to fill up the tank:
\(\frac{3}{4}\cdot10=\frac{30}{4}=\frac{15}{2}=7.5\)Now, we know that 1 gallon costs $2.98. Then, 7.5 gallons costs x dollars:
number of gallons cost in dollars
1 2.98
7.5 x
We can find x by cross multiplying the proportions above:
1 * x = 7.5 * 2.98
x = 22.35
Thus, the total cost to fill up the tank will be $22.35. Since Stacy pays with $25.00, the change she will receive is:
$25.00 - $22.35 = $2.65
Therefore, the change she will receive is $2.65.