Answer:
Step-by-step explanation:To solve this problem, we need to work backwards from the final price that Gina paid and determine the discounted price before tax was added.
Let x be the original price of the laptop. After a 25% discount, the discounted price is:
Discounted price = x - 0.25x = 0.75x
Next, we add 7% tax to the discounted price:
Final price = (0.75x) + 0.07(0.75x) = 0.8025x
We know that the final price that Gina paid was $963, so we can set up an equation:
0.8025x = 963
Solving for x, we get:
x = 1200
Therefore, the original price of the laptop was $1200, and the discounted price before tax was:
Discounted price = 0.75x = 0.75(1200) = $900
To check, we can add the 7% tax to the discounted price:
Final price = $900 + 0.07($900) = $963
This matches the price that Gina paid, so we can be confident in our answer.
You are running a fundraiser for your school, selling Reese’s and Skittles candies. You recorded you sold 34 candies and made $41, but didn’t tally how many of each candy you sold (and you don't remember the original amount of candy you had).
Below is the advertisement you used to sell the candy:
Reese's sells for $1 and skittles for $1.50
Write a system of equations to represent this situation. Then, solve it algebraically using either the substitution or elimination method.
Reese sold 20 candy and Skittles sold 14 candy for a total of $41. The equation for this is x + y = 34 and x + 1.5y = 41
What is an equation?An exponential equation is an expression that shows how numbers and variables using mathematical operators.
Let x represent the number of candy that Reese sell and y represent the number of Skittles candies
Reese's sells for $1 and skittles for $1.50
34 candies was sold, hence:
x + y = 34 (1)
He made $41, hence:
x + 1.5y = 41 (2)
Solving both equations simultaneously:
x = 20; y = 14
Reese had 20 candy and Skittles had 14 candy.
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3. Rochelle helped in the garden 7 days during the last 4 weeks. Use the
numbers in the box to complete the sentences comparing her time in
the garden.
Numbers can be used more than once. Write each number in the
appropriate box.
For every day(s) Rochelle helped, she did not help
For every
day(s).
1 3 4 7 28
day(s).
day(s) Rochelle did not help, she helped
For every 3 days Rochelle helped, she did not help for 1 day.
For every 4 days Rochelle helped, she did not help for 1 day.
For every 7 days Rochelle helped, she did not help for 6 days.
For every 28 days Rochelle helped, she did not help for 21 days.
Let's use the terms provided to complete the sentences comparing Rochelle's time in the garden.
Since Rochelle helped in the garden for 7 days during the last 4 weeks, we can calculate the total number of days in 4 weeks and then find the number of days she did not help.
There are 7 days in a week, so in 4 weeks, there are 4 x 7 = 28 days.
Rochelle helped for 7 days, so she did not help for 28 - 7 = 21 days.
Now, let's complete the sentences:
For every 1 day(s) Rochelle helped, she did not help for 3 day(s).
For every 3 day(s) Rochelle did not help, she helped 1 day(s).
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What is the volume of a solid with lines y=√(cos(x), y=e^x, x=pi/2 if it is revolved around the x axis?
For the same question, if there were x axis semicircles with a diameter on xy plane, what would the volume be?
To find the volume of the solid generated by revolving the region enclosed by the curves y = √(cos(x)), y = e^x and x = pi/2 around the x-axis, we can use the method of cylindrical shells.
Consider a thin vertical strip of width dx at a distance x from the y-axis. The height of this strip is the difference between the y-coordinates of the two curves:
h = e^x - √(cos(x))
The circumference of the shell is given by 2πx since the strip is at a distance x from the y-axis. Therefore, the volume of the shell is given by:
dV = 2πx * h * dx
= 2πx * (e^x - √(cos(x))) * dx
To find the total volume of the solid, we need to integrate this expression from x=0 to x=pi/2:
V = ∫[0, pi/2] 2πx * (e^x - √(cos(x))) dx
This integral can be evaluated using integration by substitution. Let u = cos(x), then du/dx = -sin(x) and dx = du/-sin(x). Using this substitution, the integral becomes:
V = ∫[1, 0] 2π * (-ln(u)/sin(x)) * (e^x - √(u)) dx
Integrating this expression with respect to x from x=0 to x=pi/2, we get:
V = 2π * [e^(pi/2) - 1 - (4/3) * (1 - sqrt(2))]
Therefore, the volume of the solid is approximately 27.838 cubic units (rounded to three decimal places).
Amelia has a music box that is shaped like a right rectangular
prism. She wants to pack the music box into a container,
with 1 in. of packing material between each face of the
music box and the container. A bag contains 200 in.3 of
packing material. How many bags of packing material will
Amelia need? Show your work.
The number of packing materials the Amelia will need = 2.4
How to calculate the quantity of packing materials Amelia will need?From the diagram given above, the formula for the volume of a right rectangular prism = Length×width ×height.
Where;
Length = 10in
Width = 6 in
Height = 8 in
The volume = 10×6×8 = 480 in³
But one bag = 200in³
The amount of bag that the music box can contain = 480/200 = 2.4
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Justine is enrolled in an SAT prep class at the Oakdale Community Center. The community
center is 1.4 miles away from Justine's house. On a map of Oakdale, this distance is
represented by 1 inch. What is the scale of the map?
Write your answer in simplest form using whole numbers.
inches:
miles
Answer:
1.4:1
= 14:10
= 7:5
Hence, ans is 7:5
Hope it helps, please mark me as brainliest...
The population of a small town of 29,000 people is expected to grow exponentially at a rate of 1.9% per year. Estimate the population in 2 years' time.
Answer:
Step-by-step explanation:
Write the domain using interval notation.
Answer:
[tex](f \circ g)(\text{x}) = \frac{13}{13-\text{x}}[/tex]
Domain: [tex](-\infty,0) \cup (0,13) \cup (13,\infty)[/tex]
=================================================
Explanation:
Let's find the function composition.
The notation [tex](f \circ g)(\text{x})[/tex] is the same as [tex]f(g(\text{x}))[/tex]
[tex]f(\text{x}) = \frac{\text{x}}{\text{x}-1}\\\\\\f(g(\text{x})) = \frac{g(\text{x})}{g(\text{x})-1}\\\\\\f(g(\text{x})) = g(\text{x}) \div \Big( g(\text{x}) - 1\Big)\\\\\\[/tex]
Then,
[tex]f(g(\text{x})) = \frac{13}{\text{x}} \div \left(\frac{13}{\text{x}}-1}\right)\\\\\\f(g(\text{x})) = \frac{13}{\text{x}} \div \left(\frac{13}{\text{x}}-\frac{\text{x}}{\text{x}}\right)\\\\\\f(g(\text{x})) = \frac{13}{\text{x}} \div \frac{13-\text{x}}{\text{x}}\\\\\\f(g(\text{x})) = \frac{13}{\text{x}} * \frac{\text{x}}{13-\text{x}}\\\\\\f(g(\text{x})) = \frac{13}{13-\text{x}}\\\\\\[/tex]
-----------------
Now let's find the domain.
If we plugged x = 0 into g(x), then we get a division by zero error.
This means we must exclude this value from the domain.
For similar reasoning, we must exclude x = 13 because we get a division by zero error in [tex]f(g(\text{x})) = \frac{13}{13-\text{x}}[/tex]
We could have any other real number to be plugged in for x.
Here's what the domain looks like in interval notation.
[tex](-\infty,0) \cup (0,13) \cup (13,\infty)[/tex]
We effectively poke holes at 0 and 13 on the number line.
What is 15% of 100
Please help
Answer:
Step-by-step explanation:15
The numbers of polio cases in the world are shown in the table for various years.
Year Number of polio cases (thousands)
1988 350
1992 138
1996 33
2000 4
2005 3.2
2007 1.3
PREDICT THE NUMBER OF POLIO CASES IN 2014
hint: The function F gives the number of thousands of polio cases
The value of t is given as 2.3 years.
How to solvewe get the table for function as
t f(t)
8 350
12 138
16 36
20 4
25 3.2
27 1.3
So it is better to model the data by using an exponential model
using a graphing calculator we get our model as
f(t)=a(b)^t
[tex]f(t)=\boldsymbol{3648.6915(0.7380)^t}[/tex]
we have an exponential decay, so we get a rate of decrease as
b=1-r
r=1-b=1-0.738=0.262=26.2\\%
So the number of polio cases is decreasing by 26.2% per year
The number of polio cases in 2014 is
t=2014-1980=34
f(34)=3648.6915(0.7380)^{34}=0.1991389
this is in thousands so we get the number of cases in 2014 approximately as
[tex]0.1191389*1000 \approx \boldsymbol{119} \textup{ cases}[/tex]
for 1 case of polio :
f(t)=0.001
3648.6915(0.738)^t=0.001
we get
[tex]t=\frac{\ln (\frac{0.001}{3648.6915})}{\ln(0.738)}\approx 50[/tex]
so we get year as
1980+50={2030},
to find half life
[tex]\frac{a}{2}=a(b)^t[/tex]
[tex]b^t=\frac{1}{2}[/tex]
[tex]0.738^t=\frac{1}{2}[/tex]
[tex]t=\frac{\ln (1/2)}{\ln (0.738)}\approx\boldsymbol{2.3} \textup{ years}[/tex]
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A total of $5550 is plit into
Awo investments. Part of the money.
is invested at 4%, and the reminder
is invested at 5"%.. If the total annual
interest from the two investments is
$259, how much is invested at each rate?
a = amount invested at 4%
how much is 4% of "a"? (4/100) * "a", namely 0.04a.
b = amount invested at 5%
how much is 5% of "b"? (5/100) * "b", namely 0.05b.
we know the total amount invested is 5550, so whatever "a" and "b" might be, we know that a + b = 5550.
we also know that the yielded amount in interest is 259, so if we simply add their interest, that'd be 0.04a + 0.05b = 259.
[tex]a+b=5550\implies b=5550-a \\\\[-0.35em] ~\dotfill\\\\ 0.04a+0.05b=259\implies \stackrel{\textit{substituting from above}}{0.04a+0.05(5550-a)~~ = ~~259} \\\\\\ 0.04a+277.5-0.05a=259\implies 277.5-0.01a=259\implies -0.01a=-18.5 \\\\\\ a=\cfrac{-18.5}{-0.01}\implies \boxed{a=1850}\hspace{9em}\stackrel{ 5550~~ - ~~1850 }{\boxed{b=3700}}[/tex]
A cheetah was observed running at a speed of 24.9 m/s. Use the following facts to convert this speed to kilometers per hour (km/h). 1 km = 1000 m 1 min 60 sec 1 hour = 60 min
Answer: 89.64 kilometers per hour
Step-by-step explanation: Convert 24.9 meters per second into Kilometers per minute by multiplying by 1000 to get 0.0249 kilometers per minute, which gives you 1.494 kilometers per minute. Then, you must convert this to kilometers per hour by multiplying by 60 to get 89.64 kilometers per hour
The combinations for the lockers at school consist of 3 numbers. Each number in the combination can be a number from 0-29. How many locker combinations are possible?
Answer:
87 I think.
Step-by-step explanation:
29 x 3 = 87
A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.
Type of Transportation Number of Visitors
Walk 120
Bicycle 24
Car Service 45
Bus 30
Subway 81
Which of the following circle graphs correctly represents the data in the table?
circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 20 percent, car service 30 percent, bus 16 percent, and walk 54 percent
Answer:
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent.
Step-by-step explanation:
To find the correct percentages, we need to calculate the percentage of visitors who used each mode of transportation out of the total number of visitors, which is the sum of all the numbers in the table:
Total number of visitors = 120 + 24 + 45 + 30 + 81 = 300
Percentage of visitors who walked = (120 / 300) x 100% = 40%
Percentage of visitors who used a bicycle = (24 / 300) x 100% = 8%
Percentage of visitors who used a car service = (45 / 300) x 100% = 15%
Percentage of visitors who used a bus = (30 / 300) x 100% = 10%
Percentage of visitors who used the subway = (81 / 300) x 100% = 27%
Therefore, the circle graph that correctly represents the data in the table is:
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent.
its 7th grade math PLEASE HELP EMERGENCY
An example of a function that models a linear relationship between two quantities, x and y is y = mx + b
How to explain the functionWe need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:
y = mx + b
In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.
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4Construct a function to model a linear relationship between two quantities.
14. Peter makes $15 per hour as a gardener. He gets a 10% raise. Which of the following
statements are true about Peter's new rate of pay? Select the three correct answers,
A Peter will make an additional 1/100 of his salary per hour.
(B) Peter will make an additional $1.50
per hour.
C Peter's new hourly rate is $16 per hour.
D After working 5 hours at the new rate, Peter will make $82.50.
E If Peter gets an additional 10% raise, his new pay rate will be $18.15.
Need help in this question, with explanation please.
Answer:
a) (1/2)(5)(CD) = 20 cm^2
5CD = 40, so CD = 8 cm
b) (1/2)(12)(8) = 48 cm^2
-8/9 / -2/3 x -4 1/2
Answer:
- 14/3
Step-by-step explanation:
-8/9 * 3/-2 * -7/2
-24/-18 * -7/2
4/3*-7/2
-28/6
= - 14/3
Collect a set of data (from the internet) about any school-appropriate topic. Examples: rainfall data, and testing scores. Or make up your own set of data. The data set must contain at least 20 values. Fill out the questions below regarding your data.
1. List your data below in numerical order.
2. Explain your data. What does each data point represent?
3. What is the mean of your data?
4. What is the minimum and maximum within your data?
Here is the data collected as a result of the experiment.
1) Numerical order is: 0.20, 0.20, 0.46, 0.46, 2.10, 2.10, 5.50, 11.80, 12.20, 12.20, 13.22, 14.65, 16.07, 17.49, 18.91, 20.33, 20.50, 20.50, 21.75, 23.18
2) The data represents rainfall in millimeters over a 20-day period.
3) Mean = 11.69 mm.
4) The minimum rainfall is 0.20 mm ;
the maximum is 23.18 mm.
1) The data is listed as follows.
0.20 12.20 2.10 0.46 20.50 5.50 11.80 13.22 14.65 16.07 17.49 18.91 20.33 21.75 23.18 0.20 12.20 2.10 0.46 20.502) The data represents the amount of rainfall in millimeters over a 20 day period.
3) The mean rainfall over the 20 day period is 11.69 mm.
= (0.20 + 0.20 + 0.46 + 0.46 + 2.10 + 2.10 + 5.50 + 11.80 + 12.20 + 12.20 + 13.22 + 14.65 + 16.07 + 17.49 + 18.91 + 20.33 + 20.50 + 20.50 + 21.75 + 23.18) /20
Mean (x) = 11.69 mm.
3) The minimum rainfall is 0.20 mm and the maximum is 23.18 mm.
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Ellie and her older brother, Shawn, just got new phones! Both phones are shaped like rectangular prisms that are 3/4 of a centimeter tall. Ellie went with the smaller model that is 12 centimeters long and 6 centimeters wide, while Shawn went with the larger model that is 15 centimeters long and 8 centimeters wide. How many cubic centimeters larger is Shawn's phone than Ellie's?
Shawn's phone is 36 cubic cm larger than Ellie's phone.
How many cubic cm larger is Shawn's phone?To get difference in volume between the two phones, we must calculate volume of each phone and subtract the volume of Ellie's phone from the volume of Shawn's phone.
The volume of a rectangular prism is: length*width* height. The height of both phones is 3/4 centimeters.
The volume of Ellie's phone is:
= length x width x height
= 12 cm x 6 cm x (3/4) cm
= 54 cubic centimeters
The volume of Shawn's phone is:
= length x width x height
= 15 cm x 8 cm x (3/4) cm
= 90 cubic centimeters
The difference in volume is:
= Volume of Shawn's phone - Volume of Ellie's phone
= 90 cubic centimeters - 54 cubic centimeters
= 36 cubic centimeters
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how to find the area of a circle with the diameter of 22 in with pi
The area of the circle with a diameter of 22 in in terms of pi is 121π in².
What is the area of the circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges.
The area of a circle is expressed mathematically as;
A = πr²
Where r is radius and π is constant pi.
Given that:
The diameter of the circle is 22 inches.
Radius is half of diameter
Hence:
Radius r = diameter/2 = 22/2 = 11 in
Plug the value into the above formula and solve for area.
A = πr²
A = π × ( 11 in )²
A = 121π in²
Therefore, the area is 121π in².
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Which of the points plotted is farther away from (−7, 8), and what is the distance?
Answer:
(10, -10)
Step-by-step explanation:
This are the farest the graph can go unless you want (100,-100)
Change the values from negative to positive and positive to negative to get the most farest results
Answer: D
Step-by-step explanation:
I graphed so you can see. Count how far each are away.
(5,8) is 12 away
(-7,-5) is 13 away
So you answer is D
Or
You can also think of it as, for, (5, 8) only the x changed so you only moved in the x direction. subtract the numbers 5-(-7)=12
For (-7,-5) you only moved in the y direction, so subtract those 8-(-5)=13
50 Points! Multiple choice algebra question. Photo attached. Thank you!
The half-life of the particular compound is approximately 9.4 days. (Correct choice: B)
How to find the half-life of a compound
The statement indicates the decay function of a particular compound, which is an exponential function of the form:
y = a · exp(- λ · t)
Where:
a - Initial mass of the compound.λ - Decay constant, in days⁻¹.t - Time, in days.The half-life of the particular compound is determined by the following expression:
t = ㏑ 2 / λ
Where t is the half-life.
If we know that λ = 0.0736, then the half-life of the particular compound is:
t = ㏑ 2 / 0.0736
t = 9.4 days
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a) What information is provided by each of the graphs below? b) Explain below which of the two graphs is the best representation of the data. Support your thinking by using numbers from each graph.
The information provided by each of the graphs is Sales from July to December and graph A best represents the data
What information is provided by each of the graphs?From the question, we have the following parameters that can be used in our computation:
The graphs
On the graphs, we have the information to be
Sales from July to December
Which of the two graphs is the best representation of the data.The graph that is the best representation of the data is the A
This is because the scale and origin of the graph are defined
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14). Find the measures of both angles.
xo
(3x +20)°
Answer:
40 degrees and 140 degrees
Step-by-step explanation:
To solve this problem you can add x+3x+20 and set that equal to 180. (We can do this because angle x and angle 3x + 20 make a linear pair. Knowing this we can estimate that both angles added together will equal 180)
Let us add x + 3x + 20 = 180 to find x. We can then substitute that into the equation.
[tex]x+3x+20=180 :a\\\\4x+20=180 :b\\\\4x + 20 -20=180-20:c\\\\4x=160:d\\\\\frac{4x}{4} = \frac{160}{4}:e\\\\x=40:f[/tex]
a: So in this part, we have rewritten the equation to make it easier to solve
b: In this step, you combine the like terms x+3x to get 4x
c: In step c, you are subtracting 20 from both sides to keep constants on one side and variables on the right
d: In this last step the equation has been simplified to make it easier to solve.
e: To isolate x you have to divide both sides by 4, we do this because the coefficient of x is 4 so you divide the equation by 4 to cancel it out.
f: You rewrite and simplify the equation.
Now to find the measure of both angles you substitute x into the equation.
The first angle's value is 40 degrees and the second is 140 degrees.
These are our answers.
Please I need help soon as possible
Answer:
[tex]x^2 + 10x+25[/tex]
Step-by-step explanation:
(x + 5)^2 is the same as (x + 5)(x + 5), which is what you call a binomial expression, since two terms (x + 5) are being multiplied by each other. You can multiply any binomial expression using the FOIL method, where you multiply the first (F), outer (O), inner (I), and last terms and simplify at the end:
First terms: x * x
Outer terms: x * 5
Inner terms: 5 * x
Last terms: 5 * 5
Simplifying:
[tex](x * x) + (x * 5) + (5 * x) + (5 * 5)\\x^2+5x+5x+25\\x^2+10x+25[/tex]
what is 6+9f+5+4+3–4f simplified
Answer:
18+5f
Step-by-step explanation:
6+9f+5+4+3-4f
=11+5f+7
=18+5f
Answer:
18 + 5f
Step-by-step explanation:
To simplify the expression 6 + 9f + 5 + 4 + 3 - 4f, we must combine like-terms.
6 + 5 + 4 + 3 = 18 (6,5,4, and 3 are like-terms because they are all normal integers)
18 + 9f - 4f (9f and 4f are like-terms because they have the same variable f)
18 + 5f
When the sun is at a certain angle in the sky, a 100 foot building will cast a 25 foot shadow , how tall is a person if he casts a 1.5 foot shadow at the same time
The height of the person that cast a shadow of 1.5 foot is 6 foot.
How to solve proportional relationship?When the sun is at a certain angle in the sky, a 100 foot building will cast a 25 foot shadow. A person cast a shadow of 1.5 foot at the same time.
Therefore, the height of the person can be found by setting up a proportional relationship between the length of shadow and the actual height of the building and person.
Hence,
let
x = height of the person
Therefore,
100 / 25 = x / 1.5
cross multiply
25x = 100 × 1.5
25x = 150
divide both sides of the equation by 25
x = 150 / 25
x = 6
Therefore,
height of the person = 6 foot.
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Find the slope of the line with a y-intercept = 4, passing through the point (2,8)
Answer: d. m = 2
Step-by-step explanation:
First, we will write a slope-intercept equation using the y-intercept given.
y = mx + 4
Next, we will substitute the given point and solve for m, the slope.
y = mx + 4
(8) = m(2) + 4
4 = 2m
m = 2
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[tex]\boxed{\sf m=2}.[/tex]
Step-by-step explanation:1. Identify the 2 given points.In order to find the slope of any linear equation you need at least 2 points the line passes through. We're explicitly provided one, (2, 8), we just need to figure out the other one.
When the statement says that the line has a y-intercept of 4, it means that at a point with y=4 the function touches the y axis. The only way to touch the y-axis is if the x value is 0. Hence, another given point is (0, 4).
2. Calculate the slope.Formula: [tex]\sf m=\dfrac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
Naming the variables (can be done arbitrarily but always make sure the y's are actual y values from the ordered pairs and that x₁ goes with its corresponding y₁ value from the ordered pair):
[tex]x_{1} =2;\\x_{2} =0;\\y_{1} =8;\\y_{2} =4.[/tex]
Now substituting these values in the formula:
[tex]\sf m=\dfrac{(4)-(8) }{(0) -(2) }=\dfrac{-4}{-2} =\boxed{\sf 2}.[/tex]
Check out the attached image to see the graphed line.
Please help !!!!!!!!!!
The total amount of interior angles featured on a polygon with 'n' sides can be determined through the equation (n-2)*180 degrees. This formula applies to all types of polygons, such as triangles.
How to explain the triangleIn order to calculate the sum of each individual angle in the polygon, we must consider the total degree measure formed within each triangle. Every triangle consists of three different sized interior angles that together form an count of 180 degrees.
For instance, when a polygon containing 'n' sides is divided into separate triangles by interconnecting certain vertices, the overall number of triangles produced can be worked out using the equation (n-1). A square, for example, can be broken down into two distinctive triangles, whereas a pentagon structures five triangles, and finally, a hexagon results in four.
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How many kilograms are
1 kg =
100 dag
45.4 kg
119.5 kg
54.5 kg
264.3 kg
there 5,450 dekagrams?
The number of kilogram that are there in there 5,450 dekagrams is: C. 54.5 kg.
What is kilograms?The kilogram is widely used as a unit of mass in everyday life, as well as in science, engineering, and industry. One kilogram is equal to 1,000 grams, and it is the base unit for other mass-related units such as milligrams, centigrams, and decigrams.
To convert 5,450 dag to kg, we need to divide by 100, since 1 kg = 100 dag:
5,450 dag ÷ 100 = 54.5 kg
Therefore, the answer is (c) 54.5 kg.
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The correct question is:
How many kilograms are there in there 5,450 dekagrams?
1 kg = 100 dag
a. 45.4 kg
b. 119.5 kg
c. 54.5 kg
d. 264.3 kg
