Answer:
[tex]y = 2736 - 114x[/tex]
Step-by-step explanation:
It is given that the cost of the couch was $2,736. Orlando bought that couch using furniture store's finance plan. The plan says that he is supposed to pay $114 per month for a period of 24 months.
we are asked to determine the equation which can determine the total amount still due on orlando after x number of months.
Let the total number of month we are calculating = x
Payment per month = $114
Hence payment made in x months = $114x
Hence payment still owned by Orlando = $2736-$114x
Above equation gives us the dues on Orlando
The rocks near the shore between two lighthouses at points A and B make the waters unsafe. The measure of arcAXB is 300. Waters inside this arc are unsafe. Suppose you are a navigator on a ship at sea. How can you use the lighthouses to keep the ship in safe waters?
A ship's navigator can keep the ship in safe waters by staying outside the 300-degree arc between two lighthouses and using the beams as navigational guides. Additionally, in areas with water breaks, navigators should account for wave diffraction to determine the safest angles for mooring.
Explanation:To navigate safely and avoid the unsafe waters near the coastline marked by the 300-degree arc between two lighthouses at points A and B, a ship's navigator should use both lighthouses as reference points for establishing a safe navigational path. Typically, lighthouses are equipped with rotating beams, which can serve as a guide to determine a ship's position relative to hazardous areas. If the ship maintains a course outside of the direct line of sight between the two lighthouses, it can stay within the safe waters.
The navigator should also consider wave action when near a coastline or harbor entrance. If any breakwater structure or water break exists, such as a rock barrier with an opening, the navigator would need to be mindful of the wave patterns. As waves enter the opening, they diffract, and boats are generally safest at angles where the wave intensity is minimized.
Simplify by using fractional exponents.
[tex] \sqrt{mn}[/tex]
The pentagon in Washington DC is immense in size, with each outside wall 921 feet in length. What is the perimeter of the pentagon?
Riley is saving up to buy a new television. She needs a total of $1,142.58. Riley has saved $200.82 already and earns $78.48 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
A.
10
B.
13
C.
11
D.
12
Identify three of the key terms from the video. Check the boxes next to three words.
brain
mouse
consciousness
memory
definition
Answer:
brain
consciousness
memory
the number of squares in 15 quilts if 6 quilts have 288 squares
Which matrix will always give a determinant of 0?
Answer:
the answer is D!
Step-by-step explanation:
how do you do the elimination method? Example: -8+6y=2;16x-3y= -13
(click on picture to see the full thing)
A clown needed 275 balloons for a party he was going to, but the balloons only came in packs of 2.How many packs of balloons does he need to buy?
Final answer:
To provide 275 balloons when they are sold in packs of 2, the clown will need to purchase 138 packs, which will include one extra balloon as you cannot buy half a pack.
Explanation:
The clown needs 275 balloons for a party and they come in packs of 2. To find out how many packs of balloons the clown needs to buy, one must divide the total number of balloons by the number in each pack.
The calculation is as follows:
Number of packs = Total balloons ÷ Balloons per packNumber of packs = 275 ÷ 2Number of packs = 137.5Since packs cannot be purchased in halves, the clown will need to buy 138 packs to have enough balloons, understanding that this means having one extra balloon.
You are choosing between two different cell phone plans. the first plan charges a rate of 25 cents per minute. the second plan charges a monthly fee of $49.95 plus 10 cents per minute. how many minutes would you have to use in a month in order for the second plan to be preferable
A restaurant purchased 160 boxes of mustard packets. Each box contained 103 packets of mustard. How many mustard packets in total did the restaurant purchase?
Answer:
Total number of mustard packets = 16,480
Explanation:
A restaurant buy mustard box = 160
Each mustard box contain packet = 103 packet
In order to find the total number of packets
Total number of packet = (number of mustard boxes)*(number of packets in a box)
Now put the values in given formula
Total number of packet = 160 * 103
Total number of packet = 16,480
final answer, I hope it helps
Which pair of expressions is equivalent for any variable value greater than zero?
Answer:
D. b+b+3c and 2b+3c
Step-by-step explanation:
The question wants us to find out expressions is equivalent for any variable value greater than zero. So let's analyse all the possible answers to find the correct one.
A. (x+3) and 3x+ 2
If x = 1 , we have:
(x+3) = 4 3x+2 = 5Both of the two sides are not equivalent
B. 4d+2e and 8d+e
If e=1 and d=1, we have:
4d+2e = 88d+e = 9Both of the two sides are not equivalent
C. f+f+f+g and 3fg
If f=1 and g=1, we have:
f+f+f+g = 43fg = 3Both of the two sides are not equivalent
D. b+b+3c and 2b+3c
If b=1 and c=1, we have:
b+b+3c = 52b+3c = 5Both of the two sides are equivalent
Or we will simplify the left side: b+b+3c = 2b+3c, hence 2b+3c = 2b+3c are apparent
So we choose D.
Determine if each set of ordered pairs represents a function
Answer:
Function:(7,-4), (0,9), (2,-2)
(-6,5),(-5,6), (8,2)
(2,3),(6,-5),(-1,3)
Not a function:(0,3),(0,7),(4,0)
(1,9),(-3,-2),(1,-4)
Step-by-step explanation:
edge
Given: g ∥ h and ∠2 ≅ ∠3
Prove: e ∥ f
Statements Reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2. corresponding angles theorme
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. ?
What is the missing reason in the proof?
A. vertical angles theorem
B. alternate exterior angles theorem
C. converse corresponding angles theorem
D. converse alternate interior angles theorem
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Given: g ∥ h and ∠2 ≅ ∠3
Statements Reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2.corresponding angles theorem
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. Converse alternate interior angles.
As we know that if alternate angles are equal then two lines would be parallel using converse alternate interior angles.
Hence, Option 'D' is correct.
Answer:
d. converse alternate interior angles theorem
Step-by-step explanation:
Factor completely x^2 − 36.
(x + 6)(x − 6)
(x + 6)(x + 6)
(x − 6)(x − 6)
Prime
ANSWER
[tex] (x + 6)(x - 6)[/tex]
EXPLANATION
The given expression is
[tex] {x}^{2} - 36[/tex]
We write to obtain;
[tex] {x}^{2} - {6}^{2} [/tex]
Recall that;
[tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex]
We apply this difference of squares formula to get;
[tex]{x}^{2} - {6}^{2} = (x - 6)(x + 6)[/tex]
The correct choice is A
Answer:
(x+6)(x-6)
Step-by-step explanation:
A mother has 5 liters of cream to make ice cream for a party.suger comes in 1kg bags how many suger will be needed
A transformation T: (x, y) (x - 5, y + 3).
The image of A(2, -1) is
(3, 2)
(-3, 2)
(-3, -2)
Answer:
i can confirm the above awnser is correct
Is it possible for a system to have more than one solution? Explain your answer
IMAGE ATTACHED
A research organization recently issued a statement suggesting that 80% of American voters are dissatisfied with the work of Congress. You designed a simulation to generate sample data to reflect this proportion. An automated random number sample program is used that has a sample of size 50, is run 100 times, and uses the numbers 1 through 16 to represent dissatisfied voters and the numbers 17 through 20 to represent satisfied voters. The dot plot below represents the outcome of the simulation, with the margin of error displayed.
Dot plot titled Simulation of 80 percent Dissatisfaction with Congress with x axis labeled Number of Yeses in Sample of 20 and ranges from 33 to 48 and y axis labeled Frequency ranges from 0 to 20. The sample size is 50 and the number of trials is 100. The mean is shown to fall somewhere between 39 and 40 on x axis and margin of error is represented with vertical lines on either side of the mean, one at approximately x equals 38 and one half and the other at approximately x equals 40 and one half. There are three dots arranged vertically from 35,1 to 35,3 and six dots arranged vertically from 36,1 to 36,6 and four dots arranged vertically from 37,1 to 37,4 and fifteen dots arranged vertically from 38,1 to 38,15 and nineteen dots arranged vertically from 39,1 to 39,19 and eighteen dots arranged vertically from 40,1 to 40,18 and ten dots arranged vertically from 41,1 to 41,10 and thirteen dots arranged vertically from 42,1 to 42,13 and seven dots arranged vertically from 43,1 to 43,7 and two dots arranged vertically from 44,1 to 44,2 and two dots arranged vertically from 45,1 to 45,2 and one dot at 46,1.
Using the data from this simulation, what is the sample mean (rounded to the nearest tenth), x bar comma and approximately what proportion of voters are dissatisfied?
x bar equals 39.6 and approximately 79.2% of voters are dissatisfied with Congress
x bar equals 39.8 and approximately 79.6% of voters are dissatisfied with Congress
x bar equals 39.9 and approximately 79.8% of voters are dissatisfied with Congress
x bar equals 40.0 and approximately 80.0% of voters are dissatisfied with Congress
Please literally anyone help
Two thirds of the employees at an office stated that they preferred soft cookies over crispy cookies. More than 36 employees stated their preference. Ren was asked to write, solve, and graph an inequality to find the number of employees working at the office. His work is shown below.
Answer:
Step 3 is wrong, he used the wrong circle
Step-by-step explanation:
To determine the minimum number of employees, solve the inequality 2/3 x > 36 to find x > 54. In Miguel's cookie choice, the events are dependent. According to the law of large numbers, probabilities stabilize as the number of trials increases.
Explanation:The question involves solving and graphing an inequality to find the minimum number of employees in an office based on their preferences for soft cookies. Since two thirds prefer soft cookies and more than 36 employees stated their preference, we can write this as an inequality where x represents the total number of employees: 2/3 x > 36. To solve for x, we multiply both sides of the inequality by 3/2, giving us x > 54. This tells us that there must be more than 54 employees in the office.
To graph the inequality, we would draw a number line, plot a point just above 54, and shade to the right to indicate all the numbers that are greater than 54. The question of dependent probabilities relates to Miguel's cookie selection where each choice affects the next; the events are not independent. Finally, the law of large numbers indicates that as the number of trials n increases, the experimental probabilities tend to get closer to the theoretical probabilities.
The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents the perimeter of the rectangle? A) 14x − 6 B) − 8x + 2 C) 6x2 − 8x D) 6x2 − 8x + 2
Solve P=hr(1-d) for d
To solve the given equation [tex] P=hr(1-d) [/tex]
By using the distributive property "a(b+c)=ab+ac"
[tex] P=hr-hrd [/tex]
[tex] hrd=hr-P [/tex]
[tex] d=\frac{hr-P}{hr} [/tex]
[tex] d=1-\frac{P}{hr} [/tex]
Therefore, [tex] d=1-\frac{P}{hr} [/tex] is the value of 'd'.
need help ive always had trouble with writing functions.
Candy is on sale for $0.75 each. you have a coupon for $0.25 off your total purchase. write a function rule for the cost of n pieces of candy.
A. C(n)0.25n-0.75
B. C(n)=0.75n-0.25
C. C(n)=1.0n
D. C(n)=0.75n
Dalia is installing a tile floor in a rectangular room. Dalia has 152152152 tiles available to tile the room. If each row requires 9\large\frac{1}{2}9 2 1 9, start fraction, 1, divided by, 2, end fraction tiles, and 191919 tiles break while Dalia is laying the floor, how many full rows of unbroken tile can she install before running out of tiles?
Which economic system is friendliest to entrepreneurs?
a.socialismb.communismc.capitalismd.They are all equally accepting, since entrepreneurship relies on the individual.
Answer:
The answer is capitalism.
Step-by-step explanation:
Capitalism is friendliest to entrepreneurs and market economies also rely on capitalism. This is because capitalism and free enterprise helps to create a marketplace where producers and consumers are free to sell and buy what they choose.
How many solutions does the following equation have?
4(y - 30) = 4y + 12
a. No solutions
b. Exactly one solution
c. Infinitely many solutions
Find the dimensions of a rectangle with a perimeter of 72 cm if the length is 8 cm less than three times the width.
Need the answer fast, anyone know?
Emma took a taxi from the airport to her house. She paid a flat fee of $5$5 plus $3.70 per mile. The fare came to $42. For Emma's taxi ride, which equation gives the correct distance (
d.d in miles?
Answer:
5+3.7⋅d=42
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