For an item with a marked price of Rs. 26,600 and a 10% discount, the discount price is Rs. 2,660. Therefore, the customer will pay Rs. 23,940 after applying the discount.
To calculate the amount of discount on an item with a marked price of Rs. 26,600 and a discount percentage of 10%, we can follow a simple formula.
First, let's calculate the discount amount. The discount percentage is 10%, which means we can find the discount amount by multiplying the marked price by the discount percentage:
Discount amount = Marked price × Discount percentage
= Rs. 26,600 × 10/100
= Rs. 2,660
So, the discount amount for the item is Rs. 2,660.
Now, let's understand what this means. A discount is a reduction in the original price of an item. In this case, the discount amount of Rs. 2,660 is the amount by which the price of the item is reduced. Therefore, after applying the discount, the customer would only need to pay Rs. 26,600 - Rs. 2,660 = Rs. 23,940.
It's important to note that the discount amount is not the final price the customer pays. The final price is the marked price minus the discount amount. So, in this scenario, the customer will receive a discount of Rs. 2,660, and they will pay Rs. 23,940 for the item.
Understanding how discounts work can be helpful when making purchasing decisions or comparing prices. It allows customers to evaluate the value they are receiving and make informed choices based on their budget and preferences.
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Probable question:
What is the amount of the discount if the marked price of an item is Rs. 26,600 and the discount percentage is 10%?
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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To solve the quadratic equation 3(x−7)2=27 , Diego and Mai wrote the following: Diego 3(x−7)2=27 (x−7)2=9 x2−72=92 x2−49=81 x2=130 x=130−−−√ and x=−130−−−√ Mai 3(x−7)2=27 (x−7)2=9 x−7=9 x=16 Identify the mistake(s) each student made. Solve the equation and show your reasoning.
Given statement solution is :- The correct solutions to the quadratic equation [tex]3(x-7)^2 = 27[/tex] are x = 10 and x = 4.
Diego made an error in the step where he simplified [tex](x-7)^2 = 9 to x^2[/tex] - 72 = 9. The correct expansion of [tex](x-7)^2 is x^2 - 14x + 49[/tex], not [tex]x^2 - 72.[/tex]Therefore, his subsequent steps and solution are incorrect.
Mai made an error in the step where she simplified [tex](x-7)^2 = 9[/tex] to x - 7 = 9. The square root of 9 is ±3, so the correct equation should be x - 7 = ±3, not x - 7 = 9. Therefore, her solution is incorrect.
To solve the equation correctly, we start with the equation [tex]3(x-7)^2 = 27.[/tex]
Dividing both sides by 3, we have:
[tex](x-7)^2 = 9[/tex]
Taking the square root of both sides, we get:
x - 7 = ±3
Now, we need to solve for x by adding 7 to both sides:
x = 7 ± 3
This gives us two possible solutions:
x = 7 + 3 = 10
x = 7 - 3 = 4
So, the correct solutions to the quadratic equation [tex]3(x-7)^2 = 27[/tex] are x = 10 and x = 4.
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PLEASE HELP ASAP
The diagrams show a polygon and the image of the polygon after a transformation.
Use the diagrams to determine which statements are true. Select all statements that are true.
The correct statements regarding the transformations are given as follows:
Parallel lines will always be parallel after a reflection.Lines that are not parallel will never be parallel after a translation.What are transformations on the graph of a function?Examples of transformations are given as follows:
A translation is defined as lateral or vertical movements.A reflection is either over one of the axis on the graph or over a line.A rotation is over a degree measure, either clockwise or counterclockwise.For a dilation, the coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.
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Simplify the following expression. 3 11 5 ÷ 3 − 9 5 A. 12 B. 1 81 C. 81 D.
Answer:
A
Step-by-step explanation:
To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:
First, let's simplify the division 3 11 5 ÷ 3:
3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.
Next, let's subtract 9 5 from the result we obtained:
115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.
Therefore, the simplified expression is 70.
The correct answer is A. 70.
What is the value of the expression
226 28
●
(25)6
-? Show your work.
The value of the expression 226²⁸ ● (25)⁶ is approximately [tex]4.1406562 \times 10^{119.[/tex]
To evaluate the expression 226²⁸ ● (25)⁶, we can follow the order of operations (also known as PEMDAS/BODMAS) which states that we should perform any calculations inside parentheses, then evaluate any exponents, and finally perform any multiplications or divisions from left to right.
Let's break down the expression :
Evaluate the exponent (25)⁶
[tex](25)^{6} = 25^{(6\times 1)} = 25^6 = 244,140,625[/tex]
Substitute the value into the expression:
226²⁸ ● 244,140,25.
Evaluate the exponent 226²⁸
[tex]226^{28} = 226^{(2\times28) = 226^{56 \\[/tex]
Now, calculating [tex]226^{56}[/tex] might not be feasible manually due to the large exponent.
However, we can use a calculator or a computer program to obtain the result.
[tex]226^{56} \approx 1.6951718 \times 10^{112[/tex]
Substitute the value back into the expression:
[tex]1.6951718 \times 10^{112[/tex] ● 244,140,625
Perform the multiplication:
[tex]1.6951718 \times 10^{112}\times 244,140,625 \approx 4.1406562 \times 10^{119[/tex] .
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Solve for x: 2(4-x)-3(x+3)=-11
Answer:
x=2
Step-by-step explanation:
I don’t really have an explanation, it was all mental math
Answer:
[tex]\sf x=2[/tex]Step-by-step explanation:
[tex]\sf 2(4-x)-3(x+3)=-11[/tex]
Expand:-
[tex]\sf 2\left(4-x\right)-3\left(x+3\right)[/tex][tex]\sf 8-2x-3\left(x+3\right)[/tex][tex]\sf 8-2x-3x-9[/tex][tex]\sf -5x-1[/tex][tex]\sf -5x-1=-11[/tex]Now, add 1 to both sides:-
[tex]\sf -5x-1+1=-11+1[/tex][tex]\sf -5x=-10[/tex]Divide both sides by -5:-
[tex]\sf \cfrac{-5x}{-5}=\cfrac{-10}{-5}[/tex][tex]\sf x=2[/tex]Therefore, the value of x is 2!
- - - - - - - - - - - - - - - - - - - - - -
Hope this helps!
PLS HELP, BRAINLEST ANSWER GIVEN
This fraction is equivalent to
Answer: A -6x² + 2x -4
Step-by-step explanation:
[tex]\frac{-12x^{3}+ 4x^{2} -8x}{2x}[/tex] >Divide each of the top terms by 2x[tex]=\frac{-12x^{3}}{2x} +\frac{4x^{2} }{2x} -\frac{8x}{2x}[/tex]
= -6x² + 2x -4
What is the area of sector GPH?
The area of sector GPH is square yards.
(Type an exact answer in terms of .)
P
G
15 yds
80°
H
Q
O
www
Answer:
i want to say it is 50[tex]\pi[/tex] square yards but i'm not entirely positive let me double check and i'll submit another answer
Step-by-step explanation:
although i can't promise this is correct, i can try my best to explain how i got to the answer i did in case that might help you determine if you want to use it.
formula for finding the area of a circle sector is (theta/360) x [tex]\pi[/tex][tex]r^{2}[/tex]
if you insert these things, it's just simplifying the problem after that.
we know what theta is (80 degrees) since the subtended angle is the same as the measure of the arc because it is a central angle, and those always correspond with each other. and we also know our radius because it connects the center of the circle to the outer edge. it is 15 yards.
so then we have (80/360) x [tex]\pi\\[/tex] x (15)^2
essentially, what you're going to do is break down the problem from there. simplify 80/360 to 2/9 and multiply it by pi and then by 15 squared (which is 225).
you will get 450[tex]\pi[/tex]/9 which, when simplified, is 50[tex]\pi[/tex]
i really hope this helps you at some sort of capacity.
which of these is most likely to weigh 2 kilograms car roast chicken horse egg tea bag
The item most likely to weigh 2 kilograms is a roast chicken.
Which of them would weight 2 kilograms?
The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.
The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.
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Convert the angle pi/3 radians to degrees.
Answer:
60 degrees
Step-by-step explanation:
To convert radians to degrees, multiply by 180/pi
pi/3 * 180/pi = 180/3 = 60 degrees
Step-by-step explanation:
3 radians =
171.887 degrees
AreaData Transfer RateDigital StorageEnergyFrequencyFuel EconomyLengthMassPlane AnglePressureSpeedTemperatureTimeVolume
ArcsecondDegreeGradianMilliradianMinute of arcRadian
ArcsecondDegreeGradianMilliradianMinute of arcRadian
Formula
3rad × 180/π = 171.887°
Suppose you went to the doctor and the co-pay each visit is 25$, and the price for each round of the shots is $135.
If you went to the doctors 3 times a week for 2 months straight, Can you tell me how much you spent in total for them visit? Also, you only receive the shot 2 times out of the visit.
(visit)1=25 3x25=75 '' 8weeks within 2 months'' =co-pay
8x75=600$
2x8=16
16x135=2,160$ = shots
Trivia Question ?:) on a average how much did she spend each visit ?
Given statement solution is :- On average, she spent approximately $115 per visit.
To calculate the total amount spent on the visits, we need to add up the co-payments and the cost of the shots.
Co-payments:
The co-pay for each visit is $25, and you visited the doctor 3 times a week for 8 weeks within 2 months. So the total co-payment is:
3 visits/week * $25/visit * 8 weeks = $600.
Shots:
You received the shot 2 times out of each visit, and you visited the doctor 3 times a week for 8 weeks within 2 months. So the total cost of the shots is:
2 shots/visit * $135/shot * 8 weeks = $2,160.
Total amount spent:
Co-payments + Shots = $600 + $2,160 = $2,760.
Therefore, the total amount spent for the visits and shots over 2 months is $2,760.
Trivia Answer:
To find out the average amount spent per visit, we can divide the total amount spent by the total number of visits. In this case, the total amount spent is $2,760, and the total number of visits is 3 visits/week * 8 weeks = 24 visits.
Average spent per visit = Total amount spent / Total number of visits
Average spent per visit = $2,760 / 24 visits
Average spent per visit ≈ $115.
Therefore, on average, you spent approximately $115 per visit.
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A cube is sliced through the center vertically,
perpendicular to the base. The cross section that results
would be which shape? Select two that apply.
base
A
B
с
rectangle
square
trapezoid
D triangle
The cross-section that results from slicing a cube through the center vertically, perpendicular to the base, is both a rectangle and a square.
When a cube is sliced through the center vertically, perpendicular to the base, the resulting cross-section will be a rectangle and a square.
Let's consider the properties of a cube. A cube is a three-dimensional solid with six square faces. Each face of the cube is congruent and perpendicular to the adjacent faces. The edges of the cube are all equal in length, and the angles between the faces are all right angles (90 degrees).
When we slice the cube vertically through the center perpendicular to the base, we cut through the cube in such a way that the cross-section obtained is a plane figure. This cross-section will have the same shape as the face of the cube that was cut.
In this case, since the cube has square faces, the cross-section will also have the same shape. Therefore, a square is one of the shapes that apply to the resulting cross-section.
Additionally, since the slice is made through the centre of the cube, the resulting cross-section will pass through the midpoints of two opposite sides of the square face. As a result, the cross-section will have equal side lengths and parallel sides, making it a rectangle.
Final answer:
Therefore, the cross-section that results from slicing a cube through the center vertically, perpendicular to the base, is both a rectangle and a square. These shapes capture the properties of the cube's face and the nature of the cut.
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One of the advantages to an employer of paying employees piece rate or commission is that the employee is paid based solely on their performance. What is one disadvantage of this type of pay?
One main disadvantage of piece rate or commission pay is low quality.
Piece rate payPiece rate or commision pay involves paying workers based on coverage or performance. This way the company is able to cut short excess salary especially for low performing workers.
However, a notable disadvantage of piece-rate pay is that it can lead to employees sacrificing quality for quantity. When employees are paid based on the number of units they produce, they may be tempted to produce low-quality products in order to meet their quotas. This can damage the company's reputation and lead to customer dissatisfaction.
Therefore, piece rate pay will often lead to quality reduction.
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-4 over 5 + 1 over 10
Answer: -0.7
Step-by-step explanation:
A rectangular tree lot must have a perimeter of 100 uards and an area of at least 500 square yards. Describe the possible lengths of the tree lot.
The possible lengths of the tree lot are 25 + 5√5 yards and 25 - 5√5 yards.
Let's denote the length of the rectangular tree lot as "l" and the width as "w".
We know that the perimeter of a rectangle is given by the formula:
Perimeter = 2(l + w)
Given that the perimeter of the tree lot must be 100 yards, we can write the equation as:
2(l + w) = 100
Next, we know that the area of a rectangle is given by the formula:
Area = l × w
Given that the area of the tree lot must be at least 500 square yards, we can write the inequality as:
l × w ≥ 500
Now, let's solve the equations simultaneously to find the possible lengths of the tree lot.
Perimeter equation:
2(l + w) = 100
l + w = 50
w = 50 - l
Area inequality:
l × w ≥ 500
Substituting the value of w from the perimeter equation into the area inequality, we have:
l × (50 - l) ≥ 500
50l - l^2 ≥ 500
l^2 - 50l + 500 ≥ 0
Now, we need to find the values of l that satisfy the inequality. Since the coefficient of the squared term is positive, the graph of this quadratic opens upward. This means that the values of l that satisfy the inequality will be either the entire range of possible values or a portion of it.
To find the possible lengths, we can either factor the quadratic or use the quadratic formula. Let's use the quadratic formula:
l = (-(-50) ± √((-50)^2 - 4(1)(500))) / (2(1))
l = (50 ± √(2500 - 2000)) / 2
l = (50 ± √500) / 2
l = (50 ± 10√5) / 2
l = 25 ± 5√5
Therefore, the possible lengths of the tree lot are 25 + 5√5 yards and 25 - 5√5 yards.
In summary, the possible lengths of the rectangular tree lot are 25 + 5√5 yards and 25 - 5√5 yards, respectively.
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The figure below is a square. Find the length of side x in simplest radical form with
rational denominator.
Answer: [tex]x=2\sqrt{5}[/tex]
Step-by-step explanation:
Detailed explanation is attached below.
∠RQT is a straight angle. What are m∠RQS and m∠TQS?
Answer:
m∠RQS = 102°
m∠TQS = 78°
Step-by-step explanation:
A straight angle is equal to 180 degrees. We will create an equation to solve for x.
9x° + 3° + 7x° + 1° = 180°
16x° + 4° = 180°
16x° = 176°
x = 11
Next, we will substitute this value into the expressions representing the angles.
m∠RQS = 9x° + 3° = 9(11)° + 3° = 102°
m∠TQS = 7x° + 1° = 7(11)° + 1° = 78°
through (-2, 1), perp to y=2x-5
Answer:
y = -1/2x
Step-by-step explanation:
Currently, y = 2x - 5 is in slope-intercept form, whose general equation is y = mx + b, where
(x , y) is any point on the line,m is the slope,and b is the y-intercept.The slopes of perpendicular lines are negative reciprocals of each other. We can show this with the following formula;
m2 = -1 / m1, where
m2 is the slope of the line we're trying to find, and m1 is the slope of the line we're given.Finding the slope of the other line:
Since 2 is the slope of y = 2x - 5, we can plug in 2 for m1 in perpendicular slope formula to find m2, the slope of the other line:
m2 = -1 / 2
m2 = -1/2
Thus, the slope of the other line is m = -1/2.
Finding the y-intercept of the other line:
We can find the y-intercept of the other line (i.e., b in the slope-intercept equation) by plugging in (-2, 1) for x and y and -1/2 for m in the slope-intercept form:
1 = -1/2(-2) + b
1 = 1 + b
0 = b
Thus, y = -1/2x is the line that passes through (-2, 1) and is perpendicular to y = 2x - 5.
pls help me with this
The term 9b represents the cost to rent a bike.
We have,
Rentals
Bike $9/h
Electric scooter $10/h
Kayak $18/h
Canoe $20/h
Paddleboard $22/h
Helmet Add $6
Here, the term 9b represents the cost to rent a bike.
In the provided rental options, the cost of renting a bike is $9 per hour.
The term "9b" indicates that the cost is calculated by multiplying the hourly rate of $9 with the number of hours (b) the bike is rented for.
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Find the area of the figure below.
Enter the answer as square inches.
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
let C be the curve y=5sqrtx for 1.1
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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The sum of 18 and a number, x, equals negative 40. Part A Which equation represents this situation? x-18=-40. x-18-40 18+x=-40. 18 + x = 40
Answer:
18+x = -40
Step-by-step explanation:
The sum of 18 and a number x is translated to "18+x"
Equals means "="
Negative forty is "-40"
Put them all in order and you get 18+x = -40
Find the radius and height of this cylinder. Calculate the area (A] of the base of the cylinder.
Then, use the area of the base to calculate the volume (VI of the cylinder.
r=
10 cm
h = 30 cm
- 20 gm
ABase
= 3.14 - (30 cm)?
- 9,420 cm?
V = ABase
• h
cm
cm?
Given statement solution is :- The area (A) of the base of the cylinder, you need to use the formula for the area of a circle, which is A = [tex]πr^2[/tex], where π is approximately 3.14 and r is the radius of the base.
To calculate the area (A) of the base of the cylinder, you need to use the formula for the area of a circle, which is A = [tex]πr^2[/tex], where π is approximately 3.14 and r is the radius of the base.
Given that the radius (r) is 10 cm, the area of the base (ABase) can be calculated as follows:
ABase =[tex]πr^2[/tex]
ABase = 3.14 * [tex](10 cm)^2[/tex]
ABase = 3.14 * [tex]100 cm^2[/tex]
ABase = 314 [tex]cm^2[/tex]
The area of the base is [tex]314 cm^2.[/tex]
To calculate the volume (V) of the cylinder, you need to multiply the area of the base (ABase) by the height (h):
V = ABase * h
V = 314 [tex]cm^2[/tex] * 30 cm
V = 9420 [tex]cm^3[/tex]
The volume of the cylinder is 9420 [tex]cm^3.[/tex]
However, there seems to be some confusion in the provided information. The given values for the area of the base (ABase) and the volume (V) are not clear. The values "- 20 gm" and "cm cm?" are not meaningful units for area or volume.
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Factorise completely.
1.1) 2x + 4y - 6z
1.2) 10p6q²-4p³q2 + 2p*q*
1.3) (m+n)²-5p(m + n)
1.4) 4(7c-d)+a(d-7c)
The completely factorized forms are:
1.1) 2x + 4y - 6z (no further factorization)
[tex]1.2) 2pq(5p^5q - 2p^2 + 1)[/tex]
1.3) (m + n)(m + n - 5p)
1.4) 7c(4 - a) + d(-4 + a)
We have,
Let's factorize each expression completely:
1.1)
2x + 4y - 6z
There are no common factors among the terms, so we can't factorize it further.
1.2)
[tex]10p^6q^2 - 4p^3q^2 + 2pq[/tex]
The common factor among the terms is 2pq, so we can factor it out:
[tex]2pq (5p^5q - 2p^2 + 1)[/tex]
1.3)
(m + n)² - 5p(m + n)
Using the distributive property, we can expand the squared term:
(m + n)(m + n) - 5p(m + n)
Now we can factor out the common factor (m + n):
(m + n)(m + n - 5p)
1.4)
4(7c - d) + a(d - 7c)
Using the distributive property, we can expand the terms:
28c - 4d + ad - 7ac
Rearranging the terms:
(28c - 7ac) + (-4d + ad)
Factoring out common factors:
7c(4 - a) + d(-4 + a)
Thus,
The completely factorized forms are:
1.1) 2x + 4y - 6z (no further factorization)
[tex]1.2) 2pq(5p^5q - 2p^2 + 1)[/tex]
1.3) (m + n)(m + n - 5p)
1.4) 7c(4 - a) + d(-4 + a)
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7 students are running for student council. how many different ways can their names be listed on the ballot
Step-by-step explanation:
7! = 5040 ways
Square root square for cube rootMcmfelssmmxemkwkwvgg. Guggenheim
The square root of the number 32 and the values of the perfect squares before and after 32 indicates;
5 < √(32) < 6
What are the methods for calculating the square root of a number?The square root of a number can be calculated by using the following methods; 1. Estimation, 2. Longhand method, 3. Calculator, and 4. Newton method.
The square root of 32 is; √(32) ≈ 5.66
Therefore, the value of the square root of 32 is between 5 and 6, and we get;
The square root of 32 is between the square root of 25 = 5², and the square root of 36 = 6², and the completed inequality can be expressed in the form;
5 < √(32) < 6
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Andrea has a jug that holds 1.5 liters of chocolate milk. She fills one container with 250 milliliters and another container with 0.6 liters. How much chocolate milk is left in the jug in milliliters?
0.65 mL
249.1 mL
450 mL
650 mL
Answer:
correct answer is 650ml
(iv) MP= Rs. 26600, Discount-10%
The discounted price of the item would be Rs. 23,940.
To calculate the discounted price of an item, you can use the following formula:
Discounted Price = Original Price - (Original Price * Discount Percentage)
Given that the original price (MP) is Rs. 26,600 and the discount is 10%, we can calculate the discounted price as follows:
Discounted Price = Rs. 26,600 - (Rs. 26,600 x 0.10)
Discounted Price = Rs. 26,600 - Rs. 2,660
Discounted Price = Rs. 23,940
Therefore, with a 10% discount, the discounted price of the item would be Rs. 23,940.
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Please help! I need to get this done by midnight
The number of students taking all three languages would be 1 student. The number of students taking none of the languages are 32.
How to find the number of students ?The total number of students taking each language is given so the number of people taking these languages are:
15 + 14 - X + X = 30
X = 1
So, there is 1 student taking all three languages.
For the students taking none of these languages:
Total students - students taking at least one language = students taking none of these languages.
= 100 (total students) - (53 ( taking only one language ) + 14 ( taking Arabic and Bulgarian ) + X (taking all three languages))
= 100 - 53 - 14 - 1
= 32 students
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A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a larger cone. The small cone has a base radius of 3 inches and a height of 5 inches. The larger cone has a base radius of 5 inches and had a height of 12 inches prior to being cut. What is the volume of the resulting part illustrated in the figure? A. 60 cubic inches B. 65 cubic inches C. 85 cubic inches D. 90 cubic inches
Given statement solution is :- The volume of the resulting part is approximately 267 cubic inches.
To find the volume of the resulting part, we need to calculate the volume of the larger cone and subtract the volume of the smaller cone.
The formula for the volume of a cone is given by:
V = (1/3) * π * [tex]r^2[/tex] * h
where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the cone's base, and h is the height of the cone.
For the larger cone:
Radius (r) = 5 inches
Height (h) = 12 inches
V_large_cone = (1/3) * π * [tex](5^2)[/tex] * 12
V_large_cone = (1/3) * π * 25 * 12
V_large_cone = (1/3) * π * 300
V_large_cone = 100π
For the smaller cone:
Radius (r) = 3 inches
Height (h) = 5 inches
V_small_cone = (1/3) * π * [tex](3^2)[/tex] * 5
V_small_cone = (1/3) * π * 9 * 5
V_small_cone = (1/3) * π * 45
V_small_cone = 15π
Therefore, the volume of the resulting part is:
V_resulting_part = V_large_cone - V_small_cone
V_resulting_part = 100π - 15π
V_resulting_part = 85π
Now, we can approximate the value of π as 3.14159:
V_resulting_part ≈ 85 * 3.14159
V_resulting_part ≈ 267.10715
Rounded to the nearest whole number, the volume of the resulting part is approximately 267 cubic inches.
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