The net decimal equivalent of the series 40/15/30 is 0.357;
Here we assume let X be retail price.
So,
X - 0.40 × X = Y ⇒ first discounted price.
Y - 0.15 × Y = Z ⇒ second discounted price.
Z - 0.30 × Z = T ⇒ total discounted price.
Now
X - 0.40 × X = (1 - 0.40) × X = 0.60 × X = Y
Y - 0.15 × Y = (1 - 0.15) × Y = 0.85 × Y = Z
Z - 0.30 × Z = (1 - 0.30) × Z = 0.70 × Z = T
Also, Z = 0.85 × Y, then 0.70 × Z = 0.70 × 0.85 × Y
And, Y = 0.60 × X, then 0.70 × Z = 0.70 × 0.85 × 0.60 × X
So,
= 0.70 × 0.85 × 0.60 × X
= 0.357X;
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Graph the line containing the given pair of points and find
the slope.
(-5,5), (0,1)
Answer: See attached for the graph. The slope is [tex]\frac{-4}{5}[/tex].
Step-by-step explanation:
First, we will graph the points.
See attached.
Next, we will find the slope. This can be done with "rise over run". We will start at (-5, 5) and count 4 down and 5 right to (0, 1). This gives us a slope of;
[tex]\frac{-4}{5}[/tex]
A leading agent leases 15 apartments in the month of sept. If the agent leases 40% more apartments in the next month, how many dies she lease in October?
She will lease out 21 apartments in the month of October.
We are given that a leading agent leases 15 apartments in the month of September.
Number of apartments in the month of September = 15.
Now, it is also given that she leases 40 % more apartment in the next month that is October.
Number of apartments in the month of October. = 15 + 40 % of 15
Number of apartments = 15 + 40 / 100 × 15
Number of apartments = 15 + 6
Number of apartments = 21 apartments.
Therefore, she will lease out 21 apartments in the month of October.
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The perimeter of the school crossing sign is 102 inches. What is the value of s ?
Equation:
= 102
S =
What is the length of each side? Label the length of each side in inches.
2s-
Answer:
The value of s is 15
Step-by-step explanation:
so first you count all the sides and add them up
s+6+s+6+s+2s+s=102
6s+12=102
6s=90
s=15!!
After that you plug that into to the equations for the answer.
Hope this helps!
3x – y = -1 x – 2y = -12
The solution to the system of equation is (2, 7)
System of equationGiven the system of equation expressed as:
3x – y = -1 * 2
x – 2y = -12 * 1
________________
6x – 2y = -2
x – 2y = -12
Subtract to have;
6x-x = -2-(-12)
5x = 10
x = 2
Substitute x = 2 into 2 to have:
2 - 2y = -12
-2y = -14
y = 7
Hence the solution to the system of equation is (2, 7)
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Jean's bedroom is 13 feet by 13 feet. She has chosen a carpet which costs $28.60 per square yard. This
includes installation.
to carpet her room -what’s the cost of the carpet for the room ?
Answer:
$4,833.40
Step-by-step explanation:
First find the area of the room.
A = lw
A = (13)(13)
A = 169[tex]ft^{2}[/tex]
It cost 28.60 per square foot. Multiply these numbers together.
169(28.60) = 4833.40
2/3, ¹/3 =I need to find a LCD less common denominator for this question
In order to answer this issue, I need to identify an LCD, or least common denominator—something that unites all of the group members. We had all previously worked for the same employer, so that was our common denominator.
A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Numbers that have more than two factors are called composite numbers.
Prime number seven.
7*8 = 56
56 is the lowest common factor.
3/7 * 8/8 = 24/56
5/8*7/7 = 35/56
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HELP PLEASE ALGEBRA 2
Answer:
´the set of all values for which the function is defined´
Step-by-step explanation:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
4.
The table shows the average speed of
several animals. Sort the animals into the
appropriate bins by their average speed in
miles per hour. 7.RP.3
Domestic Cat
Rabbit
Average Speed,
less than 30 mph
Human
Animal
Domestic Cat
Human
Rabbit
Average Speed,
equal to 30 mph
Name:
Average Speed
44 feet per second
2,464 feet per minute
616 inches per second
Average Speed,
greater than 30 mph
LP2
Based on their average speed in miles per hour, into the proper containers. Domestic Cat Rabbit Speed, less than 30 mph on average
Domestic Cat Human Rabbit Human Being
An average speed of 30 mph
44 feet per second is the average speed
2.464 ft per second
Inches per second at 616
Greater than 30 mph for the average speed
LP2The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.
270 miles.
The plane will go 270 miles in 3/4 of an hour, or 3/4 of 360 miles.
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According to the Pew Research Center Journalism and Media, the estimated circulation of weekday newspapers, in millions, in the United States can be approximated by the formula c = -0.0166x^2 + 1.2109x + 41.708 where x is the number of years after 1940. According to the formula, in what year would the circulation of weekday newspapers be 0 million? Round to the nearest year.
Step-by-step explanation:
so, simply, when is c = 0 ?
0 = -0.0166x² + 1.2109x + 41.708
the solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -0.0166
b = 1.2109
c = 41.708
x = (-1.2109 ± sqrt(1.2109² - 4×-0.0166×41.708))/(2×-0.0166) =
= (-1.2109 ± sqrt(1.46627881 + 2.7694112))/-0.0332 =
= (-1.2109 ± sqrt(4.23569001)/-0.0332 =
= (-1.2109 ± 2.058079204...)/-0.0332
x1 = (-1.2109 + 2.058079204...)/-0.0332 =
= -25.5174459... years
x2 = (-1.2109 - 2.058079204...)/-0.0332 =
= 98.46322904... years
x1 represents then a calculation backwards of 1940 - 25.5 years (≈ 1914) as the estimated starting point with 0 million sold papers.
x2 is the projected year in the future with 0 million dogs papers :
1940 + 98.46322904... = 2038.463229... ≈ 2038
based on this equation it is expected that during 2038 the circulation of weekday newspapers will drop to 0 millions.
Find the area of a rectangle that has a length of 4.5 units and a width of 7.2 units. Write the numerical answer only.
I NEED HELP PLEASE
f+3n=7n
Answer:
4n
Step-by-step explanation:
x^3-9x^2-4x+36=0
Determine the values of x for which the function f(x)= x^2-5x-2/ 5x-3
A. is zero
B. is positive, and
C. is negative
Answer:
B
Step-by-step explanation:
use the formula x = [tex]\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex] and [tex]x= \frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
according to the known condition, a = 1, b = -5-2/5 c = -3
you can input these values into the above two.
37 divided by 27
explanation please
Answer:
1.37037037 or 1 10/27
Step-by-step explanation:
What's there to explain?
27/27 + 10/27 = 1 10/27
8,370 divided by 62 with remainder
Answer:
8370/ 62: 135
62/8370: 0.007
Step-by-step explanation:
Learn
Look at this equation:
C
c³ = 125
What is c, the cube root of 125?
An octopus dives 10 meters per second for 12 seconds then rises 15 meters which expression represents this situation
Answer: -10s +15
-10 = 10 meters down
s = seconds
+ 15 = 15 meters risen
What is the perimeter of a rectangle that has a length of 40 Ft and a width of 17 ft?
Answer:
i think 114ft
Step-by-step explanation:
Answer:
114 FT
Step-by-step explanation:
Perimeter formula: P = 2 (l + w)
P = 2 (40 + 17)
Use distributive property or PEMDAS
Distributive property: P = 80 + 34
P = 114
PEMDAS: P = 2(57)
P = 114
You get 114 either way
Find the distance between the points (6,-12) and (18,-20)
Distance between the points is -16.
given;
x1 =6
x2=8
y1=-12
y2=-20
d = (x2-x1) (y2-y1)
= (8-6) [-20 - ( -12 )]
= 2 (-8)
= -16
the degree or amount of separation between two points, lines, surfaces, or objects
therefore the distance between the points is -16 .the quality or state of being distant: such as
a
: spatial remoteness
quite a distance between the two hospitals
b
: personal and especially emotional separation
feels a distance from her brother that wasn't there before
also : RESERVE, COLDNESS
c
: DIFFERENCE, DISPARITY
the distance between the two philosophies
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a dreidel is a four-side spinning top. each of the dreidel has a letter from the Hebrew alphabet, nun, gimmel, hay and shin.
Matthew spins the dreidel twice. he says the probability
Answer:
8 with 6
Step-by-step explanation:
A recent study of 50 U.S. chess players details such things as the number of years the players have been active and the chess ratings of the players. (A chess rating is a number, with a higher number indicating greater expertise.) The chess rating data for the sample of 50 players are summarized in the following
Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.
What is the missing information?This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:
6 of these players have scores between 300 and 700.6 of these players have scores between 700 and 1100.13 of these players have scores between 1100 and 1500.14 of these players have scores between 1500 and 1900.6 of these players have scores between 1900 and 1300.5 of these players have scores between 2300 and 2700.The problem then asks the proportion of players in the sample with scores that are less than 2300.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
In the missing information section, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:
p = 45/50 = 0.9.
Thus 90% of the players in the sample have scores that are less than 2300.
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number of gram in p gram?
Answer:
1 pound (lb) is equal to 453.59237 grams (g)
Translate the quotation into symbolic form.
If you can count your money (p), you don't have a billion dollars (q). J. Paul Getty
p → q
p ∨ q
~q
q ↔ p
p ∧ q
The translated statements, in order, are:
"If you can count your money, then, you don't have a billion dollars""You can count your money or you don't have a billion dollars""You do have a billion dollars""You can count your money if and only if you don't have a billion dollars""You can count your money and you don't have a billion dollars"How to translate the symbolic form?Here we have the proposition:
p = If you can count your money.q = you don't have a billion dollars.And the symbols are:
→ = then.∨ = or~ = not↔ = if and only if ∧ = and.Then each quotation is:
p → q
"If you can count your money, then, you don't have a billion dollars"
p ∨ q
"You can count your money or you don't have a billion dollars"
~q
"You do have a billion dollars"
q ↔ p
"You can count your money if and only if you don't have a billion dollars"
p ∧ q
"You can count your money and you don't have a billion dollars"
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what does the 9 represent in the number 53.89
Question -: If ( 1 + tan θ ) ( 1+ ∅ ) = 2 , then what is ( θ + ∅ ) ?
a . 30⁰ b. 45⁰ c. 60⁰ d. 90⁰
Answer this question
Please Give Explanation
thanks
Correct choice is B.) 45°
The solution is in attachment ! do check it
Step-by-step explanation:
6.25 points
Find the GCF for the list.
10m4, 40m⁹
10m5
40m4
10m4
6.25 points
hey
list
The following information is available for Trinkle Company for the month of June:
The unadjusted balance per the bank statement on June 30 was $53,382.
Deposits in transit on June 30 were $2,545.
A debit memo was included with the bank statement for a service charge of $11.
A $3,339 check written in June had not been paid by the bank.
The bank statement included a $1,350 credit memo for the collection of a note. The principal of the note was $1,325, and the interest collected amounted to $25.
Required
Determine the true cash balance as of June 30. (Hint: It is not necessary to use all of the preceding items to determine the true balance.)
True Cash Balance As on June 30 is mathematically given as $ 52588
This is further explained below.
What is the true cash balance?As of the Bank Statement dated June 30th, the Unadjusted Balance A = $53,382.
Deposit in Transit June B = $2,545.
Outstanding Check June 30 C = $3,339
Generally, the equation for the true cash balance is mathematically given as
cash balance = A-(C-B)
Therefore
cash balance= 53,382-(3,339-2,545.)
cash balance= 52588
In conclusion, True Cash Balance As on June 30 = $ 52588
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A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running away at a speed of 40 feet per second. What should the fox's speed be to catch up to the rabbit.
The speed of the fox should be 35/t + 40 to catch up to the rabbit.
What is speed?Speed is the ratio of distance and time.
Speed = Distance / Time
We have,
The distance between the rabbit and fox = 35 feets
The rabbit's speed = 40 feet per second
Let fox's speed = F
Let the time taken to catch up to the rabbit = t
Now,
Rabbit's distance from fox after time t will be:
= 35 + (40 × t)
= 35 + 40t
Fox's distance after time t:
= F × t
Fox and rabbit distance must be the same in order for the fox to catch up with the rabbit.
35+40t = Ft
Dividing both sides by t.
35/t + 40 = F
Therefore the fox's speed must be 35/t + 40 in order to catch up with the rabbit.
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Please help I’m about to lose it!!!
Calculate the distance between the points N=(-8, -2) and C= (-3, 1) in the coordinate plane
Give an exact answer (not a decimal approximation).
34 is incorrect
Answer: 8
Step-by-step explanation:
starting from the x coordinates, -8 and -3, subtract them and get 5. Moving on to the y coordinates, -2 and 1, you add 2 and 1 to get 3. In total after adding 5 and 3 you get 8. When the coordinates (that are in the same spot) are the same, you are subtract. But when they are different, you add. Sorry if this is confusing! But in the end, 8 is he answer.
Which of the following is equivalent to the quantity three fifths end quantity to the power of 2 times x?
A - the quantity three fifths end quantity to the power of x
B - the quantity 6 over 10 end quantity to the power of x
C - the quantity 9 over 5 end quantity to the power of x
D - the quantity 9 over 25 end quantity to the power of x
Answer:
B is correct
Step-by-step explanation:
three fifths= 6/10= 0.6
since the quantity is to a power of (2×x)=2x
so B is correct
hhhhhheeeeeeeeeeellllllllllllppppppppppp!!!!!!!!!!!!
Answer:7
Step-by-step explanation:
Please help!
Simplify:
Answer: Raise
5
to the power of
4
= 625
Answer:
[tex]5^{4} =625..[/tex]
Step-by-step explanation:
[tex]5^{4} = 625[/tex]
[tex]=625[/tex]
hopefully this helps you :)
