Answer:
= $ 49.5
Step-by-step explanation:
We are given;
Discount off retail price is 20%Retail price is $55Required to determine the amount paid
Taking the retail price as 100%
Then, amount paid will be (100 % - 10%) 90% of the retail price
Therefore;
Amount paid = 90% × $ 55
= 0.9 × $ 55
= $ 49.5
Thus, the employee paid $ 49.5 for the book.
The table compares the initial amount of fuel Li Jing's car had, and the total distance she traveled using that amount, in several different occasions.
Can the total distance be represented as a function of fuel?
Fuel (liters) 1st # , Distance (kilometers) 2nd #
30 100
35 120
40 140
35 120
45 160
25 90
30 100
20 80
Yes or No and why?
Answer:
answer is yes
Step-by-step explanation:
Yes, the total distance can be represented as a function of fuel. The relationship between the two variables can be represented by a linear function. By calculating the slope and y-intercept of the line, we can determine the equation representing the total distance as a function of fuel. which is y = 4x - 20
Explanation:Yes, the total distance can be represented as a function of fuel. In this case, the fuel can be considered as the independent variable and the total distance as the dependent variable. By analyzing the table, we can observe that as the amount of fuel increases, the total distance also increases. This relationship can be represented using a linear function, since the data points seem to form a straight line.
A linear function can be written in the form y = mx + b, where y represents the total distance, x represents the amount of fuel, m represents the slope of the line (which indicates how the total distance changes with each unit of fuel), and b represents the y-intercept (which represents the initial distance when there is no fuel).
By calculating the slope of the line using two data points, we can determine the equation of the linear function. For example, using the first and second data points, we can calculate the slope as:
m = (120 - 100) / (35 - 30) = 20 / 5 = 4
With this information, we can write the function representing the total distance as a function of fuel:
y = 4x + b
To determine the value of b (the y-intercept), we can select any data point and substitute the values of x and y into the function. Let's use the first data point:
100 = 4(30) + b
Solving this equation, we find that b = -20.
Therefore, the equation representing the total distance as a function of fuel is:
y = 4x - 20
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A bank offers a CD that pays a simple interest rate of 6%. How much must you put in this CD now in order to have $11 comma 700 to replace all the windows in your house in 5 years?
Answer:
You should invest US$ 9,000 in the CD to replace all the windows in your house.
Step-by-step explanation:
Let's recall that the simple interest formula is:
A = P * (1 + r * t), where,
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Replacing with the real value, we have:
11,700 = P * (1 + 0.06 * 5)
11,700 = P * (1.3)
P = 11,700/1.3
P = 9,000
You should invest US$ 9,000 in the CD to replace all the windows in your house in 5 years.
To calculate the initial deposit for a CD with a 6% simple interest rate in order to have $11,700 in 5 years, you can use the simple interest formula. The formula is rearranged to solve for the initial deposit amount: P = I / RT, where 'P' is the initial deposit, 'I' is the desired amount, 'R' is the interest rate, 'T' is the CD term.
Explanation:The subject of the question is about how much initial deposit you must put into a CD with a simple interest rate of 6% in order to have $11,700 in 5 years. You can find this out by using the formula for simple interest, which is I = PRT. 'I' is the interest, 'P' is the principal amount (what you want to find out), 'R' is the rate of interest, and 'T' is the time in years.
Since you want to find out 'P' (the principal amount), you'd rearrange the formula to P = I / RT. Now you substitute 'I' with $11,700, 'R' with 0.06 (6% expressed as a decimal), and 'T' with 5 years. So, P = $11,700 / (0.06 * 5). From this calculation, you'll be able to determine how much money you need to deposit now into your CD to reach your goal.
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Help ASAP ! Please !!!
Answer:
Step-by-step explanation:
Volume = 4/3πr³
= 4/3*22/7*7*7*7
= 4*22*7*7*7/3*7
=4*22*7*7/3= 4312/3
= 1437.3 cm³
can someone slove this with substitution plss
Answer:
x=-9/4 and y=5/2
Step-by-step explanation:
On Tuesday, a local hamburger shop sold a combined total of 600 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
Step-by-step explanation:
h + c = 600
c = 3h
now we sub
h + 3h = 600
4h = 600
h = 600/4
h = 150 <=== hamburgers sold on Tuesday
c = 3h
c = 3(150)
c = 450....and 450 cheeseburgers sold
31. What is the value of x? 11 3 6 12
Answer:none of the above
Step-by-step explanation:
Pollsters take a survey of people at a ball game to collect and analyze data about favorite leisure activities of Star City’s residents. Would this study be biased? Why or why not?
Answer:
D: Yes, it is biased. The sample of people at the ball park is not representative of Star City’s residents.
Step-by-step explanation:
Just finished the quiz on edge.
The result is biased because it is not representative of all the residents of Star City.
What is bias?Bias in research has to do a delibrate attaept to tilt the outcome of a study towards a particular result . The survey described here ought to be representative.
The fact that only the people at a ball game were polled shows that the survey is not representative of all the residents of Star City.
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A quadrilateral has the following coordinates:
Point A: (4, 7)
Point B: (–4, 7)
Point C: (–4, –7)
Point D: (4, –7)
Enter the length of side CD.
Answer:
8 units
Step-by-step explanation:
-4 is 4 units from the y-axis
4 is 4 units from the y-axis.
4 + 4 = 8 units
Have a great day :D
Below is a map of Yellowstone Park. The scale for the map is 1cm = 25 miles.
Mrs. Fowler went on a trip from Old Faithful to Canyon.
What is the actual distance from Old Faithful to Canyon in MILES?
A 5 miles
B 62.5 miles
C 15 miles
D 75 miles
Answer:
Option D. 75 miles
Step-by-step explanation:
Looking at the Yellowstone Park map we can see that Mrs. Folwer went from Old Faitful to the Canyon by covering a straight line of [tex]3cm[/tex].
This tells us that we do not need extra calculations to find the distance covered on the map. We also know that the map scale is given as [tex]1cm=25miles[/tex]. So similarly we do not need to do extra ratio conversions.
Thus we know that if [tex]1cm=25miles[/tex] and she covered [tex]3cm[/tex] on the map, we can just multiply covered distance with the equivalency of [tex]cm[/tex] in [tex]miles[/tex] as follow:
[tex]Distance=(3cm) (25 miles)=75miles[/tex]
Thus Mrs. Folwer's actual distance from Old Faithful to Canyon in Miles is 75 miles. (which is given in Option D.)
What is the mean of 12,9,17,15,10
Answer:
12.6
Step-by-step explanation:
Add them together and divide by the amount of numbers
if 8 students have cell phones and two don’t what’s the percentage of high school freshman that don’t have a cell phone?
Answer:
75%
Step-by-step explanation:
Each bag of candy the factory makes contains 120 pieces of chocolate candy. This week, the factory produced 1800 pieces. Solve the equation below for p to find the number of bags of candy the factory produced. 120p = 1800
Answer:
15 bags
Step-by-step explanation:
120p = 1800
p = 1800/120 =180/12 = 15
Final answer:
To find the number of bags of candy produced, divide 1800 by 120 to get p, which results in p = 15, indicating the factory made 15 bags of candy.
Explanation:
The student is asked to solve the equation 120p = 1800 for p to find out the number of bags of candy the factory produced. In order to find p, we need to perform algebraic operations to isolate the variable on one side of the equation. Here's the step-by-step solution:
Therefore, the factory produced 15 bags of candy.
A spiner with 12 equally sized slices is shown below. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a white slice?
Write your answer in simplest form.
Answer:
The probability that the dial stops on a white slice = 1/12
Step-by-step explanation:
To determine:
What is the probability that the dial stops on a white slice?
Fetching Information and Solution Steps
Spinner having the number of equal slices = 12The dial is spun and stops on a slice at random.As there are 12 equally sized slices of a spinner. So, the probability that the dial stops on a white slice is 1 out of 12 chances.
Therefore, the probability that the dial stops on a white slice = 1/12
Keywords: probability, chance
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Which ordered pair is a solution of the equation?
y = 4x +9
Choose 1 answer:
Only (-3,3)
Only (–2, 2)
Both (–3, 3) and (-2, 2)
Neither
Neither of the ordered pairs is a solution to the equation y = 4x + 9.
The correct option is Neither.
Which of the ordered pairs is a solution?Given the equation in the question:
y = 4x + 9
To determine which ordered pair is a solution of the equation y = 4x + 9, you can plug each pair into the equation and see if it holds true.
y = 4x + 9
For (-3, 3):
y = 4x + 9
Plug in the x and y values:
3 = 4(-3) + 9
3 = -12 + 9
3 = -3
(-3, 3) is not a solution.
For (-2, 2):
y = 4x + 9
Plug in the x and y values:
2 = 4(-2) + 9
2 = -8 + 9
2 = 1
(-2, 2) is not a solution.
The option Neither is the correct answer.
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-12=
−12=
\,\,-2a+6
−2a+6
a = 9
Step-by-step explanation:
We are given -12 = -2a +6
so to find the value of a,
move 6 from rhs to lhs by changing its sign
rhs = right hand side
lhs = left hand side
-12 - 6 = - 2a
-18 = -2a
dividing -18 by -2, we get a = 9
Hence, a = 9 is the required answer.
Carlos bought 5 tickets to a play for a total of
$20. The equation 5c = 20 can be used to find
the cost c in dollars of each ticket. How much
does each ticket cost?
Answer:
Each ticket cost 4dollars
Help quick!.................
Answer: D.
Step-by-step explanation:
I think its d because there all equally apart and proportionate
James took a journey of 1.5 hours duration. He arrived at his destination at 1:10. Calculate the time when he started his journey
Will mark brainliest and 15 points, please and thank you
Answer:
Student 3 and Student 4
Step-by-step explanation:
Expand equation of Student 3
y = 2 (x - 1)
y = 2x -2, which is the same equation as student 4.
Noah was assigned to make 64 cookies for the bake sale. He made 125% of that number. 90% of the cookies he made were sold. How many of Noah’s cookies were left after the bake sale?
Answer:
8
Step-by-step explanation:
The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was ...
10% × 125% × 64 = 0.125 × 64 = 8
8 of Noah's cookies were left.
There are 1,087 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed? boxes will be needed to hold all the souvenir paperweights.
Answer:
99 boxes (98.8181818182 rounded)
Step-by-step explanation:
All you do is divide 1087 by 11 and then round, 98 full boxes and 1 not totally full
Solve 7 2/3 - 6 1/8 =
Answer:
1 13/24
Step-by-step explanation:
Mr. Stewart picked 1/2 of a pound of berries. He divided them evenly among 4 containers. How many pounds of berries did Mr. Stewart put in each container?
Answer:
1/8 pound
Step-by-step explanation:
(1/2)/4 = 1/8
or (1÷2)÷4 = 0,125
The graph of the function f(x) = -(x + 3)(x - 1) is shown
below.
Answer: i think the answer is A
Step-by-step explanation:
dont quote me
pls help me its easy but im lazy
Answer: Volume = a^4 * b^6
Step-by-step explanation:
Volume = (a^2*b)*(a*b^2)*(a*b^3)
Volume = a^2 * b * a * b^2 * a * b^3
Volume = a^4 * b^6
What is the domain of f(x)=1\2x
Answer:
Domain:(-∞,∞),(x∈R)
Simplify the expression 2(10)+2(×-4)
Answer:
Step-by-step explanation:
22x-88
20+2(x-4)
22x-88
what is the minimum value of y = 3x2 + 12x − 4,
Answer:
-16
Step-by-step explanation:
The minimum value is at the vertex
The x coordinate of the vertex = -b/2a
X = - 12/6 = - 2
Substituting the value of x in the equation
Y=3(-2)²+12(-2)-4
Y=3(4)-24-4
Y=12-24-4
Y=-16
Four friends are going to split the cost of a pizza. If p stands for the cost of the pizza, which of the following expressions could represent what each friend will pay?
A.4p
B.p - 4
C.p
D.p/4
Answer: A
Step-by-step explanation:
Answer: A.) 4p
Step-by-step explanation:
Evaluate the expression when y=-6.
y² + 7y - 5
When y is equal to -6, the evaluation of the formula [tex]y^2 + 7y - 5[/tex] is -11.
Explanation:In order to assess this mathematical statement when y=-6, we substitute -6 for y in the expression y² + 7y - 5.
In the expression, swap out y for -6. This gives us (-6)² + 7(-6) - 5.Total up each component. 36, 42, and 5 are the results. Addition and subtraction are to be done left to right. 36 - 42 therefore equals -6, and -6 - 5 equals -11.
This evaluation's outcome is a score of -11.
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