A. [tex]\[ T = C + G \times P \][/tex]
B. they will spend $748.95 before sales tax.
C. [tex]\[ T = C + G \times P + K \times R \][/tex]
D. The total cost before sales tax if Homer and Bart purchase one computer, five games, and three extra controllers would be $823.92.
PART A:
Let us define the variables:
- C: Cost of the computer ($499.00)
- G : Number of games
- P : Cost of one game ($49.99)
- T : Total cost before sales tax
The algebraic expression to describe how much they will spend before sales tax based on purchasing the computer and the number of games is:
[tex]\[ T = C + G \times P \][/tex]
PART B:
If they purchase one computer and five games, we substitute G = 5 into the expression:
[tex]\[ T = 499 + 5 \times 49.99 \][/tex]
Now, we can calculate:
[tex]\[ T = 499 + 5 \times 49.99 \]\[ T = 499 + 249.95 \]\[ T = 748.95 \][/tex]
So, they will spend $748.95 before sales tax.
PART C:
Let's define an additional variable:
- K : Number of extra controllers
- R: Cost of one extra controller ($24.99)
The algebraic expression to describe how much they spend in total before sales tax when they purchase one computer, any number of games, and any number of extra controllers is:
[tex]\[ T = C + G \times P + K \times R \][/tex]
If they purchase one computer, five games, and three extra controllers, we substitute G = 5 and K = 3 into the expression:
[tex]\[ T = 499 + 5 \times 49.99 + 3 \times 24.99 \][/tex]
PART D:
Now, we can calculate:
[tex]\[ T = 499 + 5 \times 49.99 + 3 \times 24.99 \]\[ T = 499 + 249.95 + 74.97 \]\[ T = 499 + 324.92 \]\[ T = 823.92 \][/tex]
So, the total cost before sales tax if Homer and Bart purchase one computer, five games, and three extra controllers would be $823.92.
What are all these answers
Find the perimeter of a triangle with sides 11 inches, 5 inches, and 13 inches. Show your work.
8x(30+2)=(8x_____)+(8x2) what is the missing number
please help everyone
tysm!
the backpacking Club is having some posters printed the printer charges $180 plus 250 per poster how many posters can be printed for $1,000 please explain
To find out how many posters can be printed for $1,000, we need to set up an equation and solve for 'x'. The cost of printing 'x' posters is $180 plus $250 per poster. After solving the equation, we find that 3 posters can be printed for $1,000.
Explanation:To find out how many posters can be printed for $1,000, we need to set up an equation.
Let's say the number of posters is 'x'. The cost of printing 'x' posters is $180 + $250 * 'x'.
We want to find out when the cost equals $1,000, so we can set up the equation: 180 + 250 * 'x' = 1000.
To solve this equation, subtract 180 from both sides and then divide by 250. This will give us the value of 'x', which represents the number of posters that can be printed for $1,000.
Once you solve the equation, you will find that 'x' is equal to 3.2. However, since you cannot print a partial poster, we can conclude that 3 posters can be printed for $1,000.
3x - 6 = 6 - 3x what is x
Answer:
x is 2
Step-by-step explanation:
putting in x
6-6=6-6
0=0 √
1,200 dividend by 251.2 Rounded to the nearest cent
The original price of a ski jacket was $240. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.
If you are facing north. Turn 90 degrees left. Turn 180 degrees right. Reverse direction. Turn 45 degrees left. Reverse direction. In which direction are you facing now
1. x - 3 = 7
2. 8w = 48
3. 9 + y = 100
4. a/2 = 18
SHOW WORK PLZ
1. x-3=7 , x =7+3 = 10
2. 8w=48, w = 48/8 = 6
3. 9+ y =100, y=100-9 = 91
4.a/2 =18, a = 18*2 = 36
Write 24 7/100 as a decimal. I don't know how to do it.
4\5 + 3 1\10 Enter the sum in the box as a mixed number in simplest form.
47,57,66,74,81,87,92 what is the pattern
The complete pattern is 47, 57, 66, 74, 81, 87, 92, 96, 99, 101, 102.
What is pattern of numbers?A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
The given sequence of numbers are 47, 57, 66, 74, 81, 87, 92.
Here, 47+10=57
57+9=66
66+8=74
74+7=81
81+6=87
87+5=92
92+4=96
96+3=99
99+2=101
101+1=102
So, the next 4 terms of the given pattern are 96, 99, 101, 102
Therefore, the complete pattern is 47, 57, 66, 74, 81, 87, 92, 96, 99, 101, 102.
Learn more about the pattern here:
https://brainly.com/question/23136125.
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728,379 in expanded form
When completely for a cube shaped container will hold 8000 cm³ of water. What is the length of an edge of the container
Identify a temperature colder than -7.2f. Write an inequality that relates the temperatures. Describe their positions on a horizontal number line.
A temperature colder than -7.2°F can be -8°F. The inequality representing this is -8 < -7.2. Drawing this on a number line shows -8 is to the left of -7.2, hence colder.
Explanation:A temperature that is colder than -7.2°F could be -8°F. The inequality that relates -8°F and -7.2°F is -8 < -7.2, because on a number line, numbers to the left are lesser than those to the right. Therefore, -8°F, being to the left/less than -7.2°F on the horizontal number line, is colder.
The Fahrenheit and Celsius temperature scales don't have absolute lowest temperatures like the Kelvin scale. So, temperatures like -10°F or -20°F (for example) are possible and would be colder than -7.2°F.
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What is 0.21212121.... as a fraction
A car is changing speed from 11 m/s to 26 m/s in a time interval of 3.0 s.
What is the acceleration of the car?
Answer Options with 4 options
A. 0.2 m/s,superscript,2,baseline,
B. 3.4 m/s,superscript,2,baseline,
C. 5.0 m/s,superscript,2,baseline,
D. 8.7 m/s,superscript,2,baseline,
2/3x + 1/6 = -3/4 x + 1
Give the coordinates of the point located halfway between (2,1) and (2,4)
The coordinates of the mid - point are - M(2, 2.5).
We have two coordinate points - A(2, 1) and B(2, 4)
We have to find the midpoint of this line AB.
What is Mid - Point Theorem?It states that a line with endpoint coordinates as - [x(1), y(1)] and [x(2), y(2)] has its mid - point at the coordinates -
x(m) = [tex]$\frac{x(1)+x(2)}{2}[/tex]
y(m) = [tex]$\frac{y(1) + y(2)}{2}[/tex]
According to question, we have -
First coordinate Point - A(2, 1)
Second coordinate Point - B(2, 4)
Using the Mid - Point formula, we get -
x(m) = [tex]$\frac{x(1)+x(2)}{2} = \frac{2+2}{2} =2[/tex]
y(m) = [tex]$\frac{1+ 4}{2}=2.5[/tex]
hence, the coordinates of the mid - point are - M(2, 2.5).
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Each week, Tina earns $x babysitting and receives $10 as her allowance. To find how much she will earn in total over 4 weeks, Tina calculates : x + 10 + x + 10 + x + 10 + x + 10 What is another way Tina can calculate how much she will earn in total over 4 weeks? Drag and drop the equivalent expression in the box.
4X+10 X+40 4(X+10) X+10
Here is to the point:
4 (X=10)
What is the y-intercept of the equation of the line that is perpendicular to the line y = x + 10 and passes through the point (15, –5)?
The equation of the line in slope-intercept form is y = x +
if angle 2 is a right angle, and measure of angle 4 is 60, prove measure of angle xyz is 150 degrees
(-9.6)÷(-3 1/5) i suck at math please help
Least to greatest 2.3, 2 4/5, 2.6
A social worker examines the level of aggression (measured on a 100-point scale) of four groups of individuals before they begin anger management classes. Using the weighted mean, determine the overall mean level of aggression for all four groups.
Group 1 82; 15
Group 2 87; 12
Group 3 93; 22
Group 4 79; 71
1. Choose the equation you can use to solve the following problem.
Each cupcake costs $4.00. How many cupcakes, x, are purchased if the total cost is $36.00?
(1 point)
2. Choose the equations you can use to solve the following problem.
Sam is 3 years younger than Marco. Marco is 15 years old. How old is Sam?
Let x represent Sam's age, in years.
(2 points)
3. The equation below represents how many hours, x, it will take to travel 210 miles at an average speed of 60 miles per hour.
How long will it take? 60x210
Final answer:
To solve the given problems, use linear equations: for cupcakes, 4x = 36; for Sam's age, x = 15 - 3; and for travel time, 210 = 60x.
Explanation:
1. To find how many cupcakes, x, can be purchased for $36.00 when each cupcake costs $4.00, we use the equation 4x = 36. This equation represents the cost of cupcakes multiplied by the number of cupcakes equals the total cost.
2. For determining Sam's age, given that Sam is 3 years younger than Marco, who is 15 years old, we represent Sam's age with x. The equation to calculate Sam's age would be x = 15 - 3.
3. The equation presented as 60x210 seems to be a mistake. To find out how many hours, x, it will take to travel 210 miles at an average speed of 60 miles per hour, the correct equation is 210 = 60x.
What's the answer to 2+{8-2[32+5(1+2)]}
HELP ASAP with this question.
I need help on this question