Answer:
[tex] \frac{ {(x + 1)}^{2} }{ {(x - 2)}^{3} } [/tex]
Un comerciante compro un lote de 15 calculadoras a 40 dolares cada una .Vendio 5 de ellas ,a orecio de promoción por100 dolares .Calcula el precio de venta de cada una de las restantes calculadoras para que gane 150 en la operación
The selling price of each of the remaining calculators should be $65 so that the merchant makes a profit of $150 in the entire operation.
The merchant bought a batch of 15 calculators at $40 each, so the total cost of the batch is:
Cost price = 15 calculators × $40/calculator
= $600
The merchant sold 5 calculators at a promotional price of $100 each.
So, the revenue from selling these 5 calculators is:
Revenue = 5 calculators × $100/calculator
= $500
Now, we need to calculate the profit made from the sale of these 5 calculators:
Profit = Revenue - Cost price
Profit = $500 - $600
= -$100 (Negative because the merchant incurred a loss on these 5 calculators)
The merchant wants to make a profit of $150 in the entire operation. So, adding the profit from selling the first 5 calculators:
Desired profit = $150
Current profit = -$100
Additional profit needed = Desired profit - Current profit
Additional profit needed = $150 - (-$100)
= $250
The merchant has 15 - 5 = 10 calculators left to sell.
We need to distribute the additional profit of $250 among the remaining 10 calculators:
Additional profit per calculator = Additional profit needed / Number of remaining calculators
Additional profit per calculator = $250 / 10 calculators
= $25
Now, let's calculate the selling price of each of the remaining calculators:
Selling price = Cost price + Additional profit per calculator
Selling price = $40 + $25 = $65
So, the selling price of each of the remaining calculators should be $65.
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Complete question:
A merchant bought a batch of 15 calculators at 40 dollars each. He sold 5 of them at a promotional price of 100 dollars each. Calculate the selling price of each of the remaining calculators so that he makes a profit of 150 dollars in the operation
find the zeros of the function by factoring.
3x^2+10x=8
Answer:
x = -4, 2/3
General Formulas and Concepts:
Algebra I
Standard Form: ax² + bx + c = 0FactoringStep-by-step explanation:
Step 1: Define
3x² + 10x = 8
Step 2: Find Zeros
Rewrite in SF: 3x² + 10x - 8 = 0Factor: (x + 4)(3x - 2) = 0Solve for x: x = -4, 2/3What value could you write in after 3x that would make the equation true for all values of x?
3x+12 = 3x+
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Identity property/ Associative Property
A web designer is placing images on a website using polar coordinates along the lines shown in the diagram. Assume that the intersection of the lines is the pole and the right horizontal segment is the polar axis.
Which equations represent the lines on which the designer places the images? Check all that apply.
Answer: 1st, 3rd, and 5th
Step-by-step explanation: Big trust
Answer:
1st, 3rd, 5th
Step-by-step explanation:
just did it on edge and got it right
PLEASE MARK ME BRAINLIEST
(-10x^2-1)+(-8x^2+8x-8) (−10x 2 −1)+(−8x 2 +8x−8)
Answer:
804−803+702−1
Step-by-step explanation:
what is the value of x ?
Answer:
6
Step-by-step explanation:
i need help i will mark brainliest
Answer:
-2?
Step-by-step explanation:
Multiply -1 by -4 to get 4
subtract 20 from 12 to get -8
[tex]\frac{-8}{4}[/tex] simplify to get -2
The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides. 20
Answer:
Internal angle = [tex]160^\circ[/tex]
Number of sides = 18
Step-by-step explanation:
Given that:
We have a regular polygon with number of sides unknown.
Measure of an exterior angle of the polygon = [tex]20^\circ[/tex]
To find:
Measure of an interior angle and the number of sides of the polygon?
Solution:
Let us have a look at the relation of sum of external angles.
Sum of one internal angle and its corresponding external angle = [tex]180^\circ[/tex]
Internal angle + external angle = [tex]180^\circ[/tex]
Internal angle = [tex]180^\circ[/tex] - [tex]20^\circ[/tex] = [tex]160^\circ[/tex]
Sum of all the external of a regular polygon = [tex]360^\circ[/tex]
All the external angles will be equal because it is a regular polygon.
Let the number of sides = [tex]n[/tex]
Therefore,
[tex]n \times 20^\circ = 360^\circ\\\Rightarrow n = 18[/tex]
Therefore, the answers are:
Internal angle = [tex]160^\circ[/tex]
Number of sides = 18
3+p=8 what’s does p equal
Answer:
p=5
Step-by-step explanation:
2) Write down the slope of the line.
a) Joining P(1,1) Q(2,3).
b) parallel to the line joining A(-1,5) & B(-6,-7).
c) perpendicular to the line joining B(2,-3) & S(-4,1)
Answer:
(a) m =(y2-y1)/(x2-x1)
m=(3-1)/(2-1)
m=2
Match each algebraic expression to the correct simplified expression.
x
X
10n- 3m
(11n - 3m) - n
X
8x + 5y
3m - (3n + 10m)
3x - 7y - (-2x) - Y
-7m - 31
[10y - (-9x)] - (5y + x)
X
5x - 8y
Plss help
Answer:
!
Step-by-step explanation:
What best describes the pair of angles below?
Answer:
i want to see the choices
momom pur $550 into a savings account for one year. The
rate of interest on the account mos 61% How much was
doilers and cents (Round to the
The nearest cent)
Step-by-step explanation:
you have to divide first then you round
A cylindrical tank with radius 3m is being filled with water at a rate 4m^³/min.How fast is the height of the water increasin?
Given :
A cylindrical tank with radius 3m is being filled with water at a rate 4m³/min.
To Find :
How fast is the height of the water increasing.
Solution :
We know, volume of cylinder is given by :
[tex]V = \pi r^2h[/tex] ....1)
Also, we have given that, [tex]\dfrac{dV}{dt} = 4 \ m^3/min[/tex] .
Differentiating equation 1) w.r.t t we get :
[tex]\dfrac{dV}{dt} =3^2 \pi \dfrac{ dh }{dt}\\\\\dfrac{dh}{dt} = \dfrac{4}{3^2 \times \pi}\\\\\dfrac{dh}{dt} = 0.141 \ m/min[/tex]
Therefore, the height of water is increasing at a rate of 0.141 m/min.
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answer:
yes
Step-by-step explanation:
you would multiply 2 and 3 then you would add whatever you got from that to 3 which would be 6+3
hope this helps!
Can someone help me with this: Write a word phrase that equals the equation x + 7x = 1200.
Answer:
A number plus seven times itself equals 1200.
Step-by-step explanation:
The number is "x", and 7 times itself is 7 "x". When one adds the two, they get 1200. Hence it models the situation;
x + 7x = 1200.
Answer:
Step-by-step explanation:
marc has x amount of money. His mom offers to give him seven times his money as a Christmas gift. when he combined, his starting money and what his mom gives him, it added up to $1200. What was marc’s starting money (x)
Compare A and B if 125% of A is equal to $120 and 135% of B is equal to $90
PLS HELP
The original value of A is greater than original value of B.
The given parameters:
125% of A = $120135% of B = $90What is percentage of a number?The percentage of a number is fraction of the number expressed in hundred.The original value of A is calculated as follows;
[tex]\frac{125}{100} \times A = 120\\\\1.25A = 120\\\\A =\frac{120}{1.25} \\\\A = \$ 96[/tex]
The original value of B is calculated as follows;
[tex]\frac{135}{100} \times B = 90\\\\1.35 B = 90\\\\B = \frac{90}{1.35} \\\\B = \$ 66.67[/tex]
Thus, the original value of A is greater than original value of B.
Learn more about percentages here: https://brainly.com/question/24304697
The length of a rectangle is 5 yd less than twice the width, and the area of the rectangle is 52 yd^2. Find the dimensions of the rectangle.
Answer:
the length is 8 and the width is 6.5
Step-by-step explanation:
6.5 x 2 = 13 - 5 = 8 x 6 = 52
The Calculator can confirm.
You scred a 95% on your math quiz. The quiz was out of 60 points. How many points did you get?
Answer: You got 57 points out of 60.
Step-by-step explanation: Hope this helps :)
Convert -36° from degrees to radians
Answer:
-0.6283
Step-by-step explanation:
-36° × π/180 = -0.6283rad
aswer
Answer:
-36π/180 or -.6283
Step-by-step explanation:
To convert from degrees to radians you multiply it by π/180
So you have -36π/180 which gets you around -.6283
please please please help
Answer:
Equation 1: 15+7h
Equation 2: 10h
Sorry can't graph for you
Step-by-step explanation:
Four siblings buy a gift for their father on his birthday. Each sibling contributes (pays) the same amount of money towards the gift.
The gift ends up coming to $63 and after paying for the gift, there is some money left over which the siblings equally split.
Write an expression to represent the amount of money each sibling will get back after the gift is paid for. Use x to represent the amount of money paid by each sibling.
If each sibling contributed $18 towards the gift, how much money did each sibling get back?
tip: they have paid a total of 40 dollars, so subtract what they bought, which should be 3 times each of the items added together.
Answer:
63÷4=$15.75(each sibling gave which made it up to $63)
63-40=$23(amount added together-amount paid)
$23÷4=$5.75(each sibling got back)
63-5.75x
if each contributed $18:
18×4=$72(each contribute 18 dollars so multiply by 4 because 4 siblings)
72-40=32(minus 40 from amount they contributed)
32÷4=$8(divide by 4 to see what each sibling got)
Each sibling got back $8
Answer:
23.75
Step-by-step explanation:
its c 4.75x5
I need help quick I’ll give extra point to who ever answers
Answer:
1 = c
2 = b
3 = d
4 = d
5 = a
Step-by-step explanation:
1) 3x-4>17
2) 3x-4<17
3) 3x-4<=17
4) 3x-4<=17
5) 3x-4>=17
Answer:
Step-by-step explanation:
Anyone know???????????
Answer:
I cant help I wish I could but its a test
Step-by-step explanation:
Marcus was asked to find out what affects the strength of electromagnets. He was given a simple electromagnet made from a coil of wire and a power supply.
What variables could Marcus investigate?
Answer:
bncjk make sure bgfdf hi olb f see him be see vg hhzch
Can somebody help me with the last 2. Will mark brainliest.
i got work due in 6 mins pls help me ill give brainliest 5 stars and thank you
Answer: ↓↓↓
Step-by-step explanation:
a. 8 + x + 2
Combine like terms
x + 10 or 10 + x
b. 14 + y - 6
Combine like terms
8 + y or y + 8
c. 7 - n + 10
Combine like terms
17 - n or -n + 17
Find the missing number.
Answer:
48
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
Since 5 x 4 = 20 and you have to do the same with the numerator and denominator, 12 x 4 = 48
Two identical sets of data are shown below.
Data Set 1: 58, 59, 62, 64, 67, 67
Data Set 1: 58, 59, 62, 64, 67, 67
An outlier is added to Data Set 2. Which of the following statistics must be greater in Data Set 2 when compared to Data Set 1 now that the outlier has been added? Select TWO that apply
mean
standard deviation
mode
median
range
Answer:
Standard deviation RangeStep-by-step explanation:
Two identical sets of data are:
Data Set 1: 58, 59, 62, 64, 67, 67 Data Set 2: 58, 59, 62, 64, 67, 67An outlier is added to Data Set 2. This is the number that is either smaller than 58 or greater than 67.
Mean
No, it could be greater or smallerStandard deviation
Yes, it will increase with an outlier added because the difference between the added number and the mean will be the greatest.Mode
No, it could be greater or smallerMedian
No, it could be greater or smallerRange
Yes, it will increase as either lower or the higher value will be added to the data set.Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance.
If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
Enter your answer in the box.
Answer:
3 months
Step-by-step explanation: Let after m months they saved same amount of money.
Given,
Saving of Jaclyn = $ 120,
Amount earned by him/her per month = $ 40,
So, the total amount contained by him/her in m months = Saving + earning for m months
= 120 + 40m,
Similarly, saving of Pedro = $ 180,
Amount earned by him/her per month = $ 20,
So, the total amount contained by him/her in m months = 180 + 20m
Thus, we can write,
120 + 40m = 180 + 20m
40m = 180 + 20m - 120
40m - 20m = 60
20m = 60
⇒ m = = 3.
Hence, it will take 3 months before which Jaclyn and Pedro have saved the same amount of money.