Final answer:
To find the final cost of an Apple iPod after a mail-in rebate and the cost of mailing the rebate (envelope and stamp), subtract the rebate amount from the original price and add the mailing costs. The total cost after these calculations is $726.82.
Explanation:
Let's tackle the Apple iPod rebate calculation problem. An Apple iPod sells for $781.29 and has a mail-in rebate for $55.00. To calculate the cost after the rebate, you must also consider the costs of an envelope and a stamp, which are $0.13 and $0.40, respectively. The formula for the final cost after applying the mail-in rebate, including the expenses for an envelope and a stamp, is as follows:
Calculate the rebate price by subtracting the rebate amount from the original price: $781.29 - $55.00 = $726.29.
Add the costs of the envelope and stamp to the price after rebate: $726.29 + $0.13 + $0.40 = $726.82.
The final cost of the iPod after the rebate and additional costs is $726.82.
Factoring a polynomial reverses the process of __________________ two polynomials.
Answer:
Factoring a polynomial involves writing it as a product of two or more polynomials. It reverses the process of polynomial multiplication.
Step-by-step explanation:
Factoring a polynomial is the reverse of multiplying two polynomials and involves reversing the distributive law, returning an expression to its original factors or multiples.
Factoring a polynomial reverses the process of multiplying two polynomials. When you factor a polynomial, you are essentially reversing the distributive law and turning an expression back into its factors or multiples. An expression is a mathematical phrase that can include numbers, variables (abbreviated as var), and the product or quotient of these, all separated by plus or minus signs. Factoring out common components helps to simplify an expression, just as using factors of ten can help to assess differences and cancel out units in algebra.
Factoring polynomials is a crucial part of algebraic manipulation, allowing us to find expressions that, when evaluated, produce the same value. This operation is important in solving equations and can also reveal interesting properties of numbers, especially within the complex number system. For example, second-order polynomials may have two roots and can be factored, such as x² + 1 which can be factored into (x - i)(x + i), where i is the imaginary unit.
A model house is 12 inches wide. If it is built with a scale of 3 in : 20 feet, then how wide is the real house?
Answer:
80 inches wide
Step-by-step explanation:
3 inches = 20 feet. 12/3=4. 4*20=80 inches
help me plzzzzzzzzz!!!!!!!!!!!!!!!!!!
Answer: ( 12 , 9 )
Step-by-step explanation:
The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :
x = [tex]\frac{p x_{2}+q x_{1}}{p+q}[/tex]
y = [tex]\frac{p y_{2}+q y_{1}}{p+q}[/tex]
From the question
[tex]x_{1}[/tex] = 2
[tex]x_{2}[/tex] = ?
x = 4
[tex]y_{1}[/tex] = -1
[tex]y_{2}[/tex] = ?
y = 1
p = 1
q = 4
substituting the values into the formula ,we have
x = [tex]\frac{p x_{2}+q x_{1}}{p+q}[/tex]
4 = [tex]\frac{1(x_{2})+4(2) }{1+4}[/tex]
4 = [tex]\frac{x_{2}+8}{5}[/tex]
[tex]x_{2}[/tex] + 8 = 20
[tex]x_{2}[/tex] = 12
Also
y = [tex]\frac{p y_{2}+q y_{1}}{p+q}[/tex]
1 = [tex]\frac{y_{2}+4(-1)}{5}[/tex]
[tex]y_{2}[/tex] - 4 = 5
[tex]y_{2}[/tex] = 9
Therefore , the end of the stencil is located at point ( 12 , 9 )
Find the indicated side of the triangle !!!
Answer:
The correct answer is b = 6 √3 units
Step-by-step explanation:
Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:
1 : √3 : 2, where 2 is the hypotenuse.
Upon saying that, we have that in our triangle:
Hypotenuse = 12 units
a = 6 units
b = 6 √3 units
The correct answer is b = 6 √3 units
Answer:
b = 6
Step-by-step explanation:
The above questions is trigonometry where hypothenus = 12; opposite = b; and adjacent = a. Applying SOHCAHTOA principle, the appropriate is
Sine = opposite/hypothesis, since we are to find the value of b. Thus,
Sine 30 = b/12
0.5 =b/12
By cross multiplying,
b = 0.5 × 12
b = 6
Is 60/100 equal fraction
Answer:
3/5
Step-by-step explanation:
60/100 = 6/10 ( given by 10th table) = 3/5 (give by 2nd table)
How many hundredths are in 539.26? Is the answer 53,926
Answer:
there are 6 hundredths
Step-by-step explanation:
the 6 is in the hundredths decimal place so the answer would be 6
Answer:
53926
Step-by-step explanation:
539.26x100=53926
Everyday Jin reads for 0.75 hours in the mornings and 1.25 hours in the evening. He uses the expression 0.75d + 1.24d to keep track of the number of hours he has read for any number of days, d. If Jim reads for 20 days, how many hours has he read?
Please please please answer. Overdue
Answer:
Step-by-step explanation:
0.75d + 1.25d.......for 20 days
0.75(20) + 1.25(20) = 15 + 25 = 40 hrs <===
The number of hours Jin reads in 20 days is 39.8 hours.
The expression for the given situation is 0.75d + 1.24d.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
In the given expression 0.75d + 1.24d, d is number of days.
Substitute d=20 in 0.75d + 1.24d, we get
0.75(20) + 1.24(20)
= 15+24.8
= 39.8 hours
Hence, the number of hours Jin reads in 20 days is 39.8 hours.
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3,425,645 rounded to the nearest hundred thousand
Answer:
3,400,000
Step-by-step explanation:
refer to attached for reference
in our case, the digit in the hundred thousands place is the number 4.
How we round this digit depends on the digit directly to the right of it (i.e the ten-thousands place).
If the digit to the right is less than 5, then leave the digit in the hundred thousands place the same and make everything else to the right zeros.
if the digit to the right is 5 or greater, then increase the digit in the hundred thousands place by 1 and then make everything else to the right zeros.
in our case, the digit to the right of the hundred thousands place is the number 2, this is less than 5, so we leave 4 the same and make everything esle to the right zero.
i.e. 3,400,000
3,425,645 rounded to the nearest hundred thousand is 3,400,000. The rounding is based on the digit in the ten thousand's place, which is 4 in this case, so we round down.
Explanation:To round the number 3,425,645 to the nearest hundred thousand, we look at the ten thousand's place which is 2. Since this digit is less than 5, we round down the hundred thousand's place. Therefore, 3,425,645 rounded to the nearest hundred thousand is 3,400,000.
When rounding to the nearest hundred thousand, the digit in the hundred thousand's place becomes the focus. If the digit in the ten thousand's place (to the right of the hundred thousand's place) is 4 or less, the hundred thousand's digit remains the same and all subsequent digits become zero. If the ten thousand's place is 5 or more, the hundred thousand's digit is increased by one, and again, all digits to the right are changed to zero.
In this example, the hundred thousand's digit is 3 and the ten thousand's digit is 4, which tells us to keep the hundred thousand's place as it is and replace the subsequent digits with zeros. This gives us 3,400,000 as the rounded number.
what is the value of the first 4 in this...4,384,488?
. Which cross section is NOT possible when slicing a square prism with a plane?
A. rectangle
B. triangle
c. hexagon
D. octagon
The answer is D. octagon.
Therefore, the only shapes that can be formed by slicing a square prism with a plane from the given options are a rectangle, a triangle, and an octagon. A hexagon is not possible, making option C the correct answer.
The correct answer is C. A hexagon is not possible when slicing a square prism with a plane.
When slicing a square prism with a plane, the resulting cross section can take on various shapes depending on the angle and position of the cutting plane. Here are the possible cross sections:
- If the plane is parallel to one of the faces of the prism and intersects the prism, the cross section will be a rectangle (Option A).
- If the plane intersects two adjacent edges of the prism, the cross section will be a triangle (Option B).
- If the plane passes through the prism in such a way that it intersects all four edges of one face of the prism, the cross section will be an octagon (Option D), provided that the plane does not intersect the prism at the corners of the square base.
However, a hexagon (Option C) is not a possible cross section when slicing a square prism with a plane. This is because to create a hexagon, the plane would need to intersect three non-adjacent edges of the prism's base, which is geometrically impossible given the right angles of the square base. A hexagon has six sides, and a square prism's base has only four edges, which cannot be divided into three pairs of non-adjacent edges that a plane could intersect to form a hexagon.
James needs to mix a 20% fungicide solution with a 60% fungicide solution to create 200 milliliters of a 26% solution. How many milliliters of each solution must James use?
170 ml of 20 % fungicide solution is mixed with 30 ml of 60% fungicide solution to create 200 milliliters of a 26% solution
Solution:
The final solution has 200 ml
Let "x" be the ml of 20 % fungicide solution
Then, (200 - x) is the ml of 60% fungicide solution
Then according to question, we can say,
"x" ml of 20 % fungicide solution is mixed with (200 - x) ml of 60% fungicide solution to get 200 ml of 26 % solution
We can frame a equation as:
[tex]x \times 20 \% + (200-x) \times 60 \% = 200 \times 26 \%\\\\\text{Solve the equation for "x" }\\\\x \times \frac{20}{100} + (200-x) \times \frac{60}{100} = 200 \times \frac{26}{100}\\\\\text{Simplify the above expression}\\\\x \times 0.2 + (200-x) \times 0.6 = 26 \times 2\\\\0.2x + 120 - 0.6x = 52\\\\-0.4x = 52 - 120\\\\-0.4x = -68\\\\x = 170[/tex]
Thus 170 ml of 20 % fungicide solution is used
Then , (200 - x) = 200 - 170 = 30 ml of 60% fungicide solution is used
James needs to mix 160 milliliters of the 20% solution with 40 milliliters of the 60% solution, in order to achieve a 26% solution in a total volume of 200 milliliters.
Explanation:To solve the problem, set up two equations based on the total volume and the percentage of the fungicide.
Let x be the volume of the 20% solution, and y be the volume of the 60% solution. Hence, the equation based on volume is x + y = 200 (since the total volume is 200 milliliters).The second equation will be based on the percentage of the fungicide in the solution as follows: 0.20x + 0.60y = 0.26*200 (reflecting the fact that James wants a 26% solution).Solving these two equations simultaneously, we get x = 160 milliliters and y = 40 milliliters.
Therefore, James needs to mix 160 milliliters of 20% fungicide solution and 40 milliliters of 60% fungicide solution to get a 26% solution of 200 milliliters.
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Given the line below.
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided to submit all of your calculations and final answer.
Answer:
The equation of the line in point slope form is equal to
[tex]y+2=(x+2)[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
(-2,-2) and (2,2)
substitute the values
[tex]m=\frac{2+2}{2+2}=1[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=1\\(x1,y1)=(-2,-2)[/tex]
substitute the values in the formula
[tex]y-(-2)=(1)(x-(-2))[/tex]
[tex]y+2=(x+2)[/tex]
Sureepan borrows 40 000 Bhat to buy a new computer. The bank charges 7.5% interest compounded yearly. Sureepan agrees to pay a half of the amount still owing at the end of each year after the interest has been compounded. Determine how much Sureepan would have paid back at the end of 4 years.
Answer:
$42,606.41Explanation:
year 1 (all the values are is $)
Initial debt 40,000Interest of the year (7.5%) 7.5% × 40,000 = 3,000Debt at the end of the year(including the interest) 40,000 + 3,000 = 43,000
Payment at the end of the year(half of the debt) 43,000 / 2 = 21,500
Debt after payment 21,500year 2 (all the values are is $)
Initial debt 21,500Interest of the year (7.5%) 7.5% × 21,500 = 1,612.50Debt at the end of the year(including the interest) 21,500 + 1612.50 = 23,112.50
Payment at the end of the year(half of the debt) 23,112.50 / 2 = 11,556.25
Debt after payment 11,556.25year 3 (all the values are is $)
Initial debt 11,556.25Interest of the year (7.5%) 7.5% × 11,556.25 = 866.72Debt at the end of the year(including the interest) 11,556.25 + 866.72 = 12,422.97
Payment at the end of the year(half of the debt) 12,422.97 / 2 = 6,211.48
Debt after payment 6,211.48year 4 (all the values are is $)
Initial debt 6,211.48Interest of the year (7.5%) 7.5% × 6,211.48 = 465.86Debt at the end of the year(including the interest) 6,211.48 + 465.86 = 6,667.35
Payment at the end of the year(half of the debt) 6,667.35 / 2 = 3,338.67
Amount paid back at the end of 4 years ($) :
21,500 + 11,556.25 + 6,211.48 + 3,338.67 = 42,606.41HELP FAST!!! Which angles could form an obtuse triangle? A. 62°, 39°, 79° B. 46°, 92°, 42° C. 40°, 40°, 100° D. 22°, 78°, 80°
Answer:
A. is Obtuse scalene triangle.
Step-by-step explanation:
Hope this help
Answer:
c i think
Step-by-step explanation:
how many roots exist for this polynomial function? F(x) = 4x5 – 3x
there is 5 roots hope it helps
Trey is making a small sign in the shape of a triangle for her store. He wants the height of the triangle to be 8 inches. The area of the sign must be less than 20 square inches. (Trey doesn't want to buy more material.) Write an inequality that describes the possible base lengths (in inches) of the triangle. Use b for the base length of the triangular sign.
Answer:
8+b=20
Step-by-step explanation:
Where is the point of concurrency of the angle bisectors of a triangle?
A.on the triangle
B. outside the triangle
c. inside the triangle
please help me
Answer:
The point of concurrency of the angle bisectors of a triangle is inside the triangle.
Step-by-step explanation:
Considering the triangle ΔABC as shown in attached figure.
As it is clear that
The three angle bisectors of a triangle intersect at one point. Incenter is basically the point of concurrency of the angle bisectors.Each point on the angle bisector is at equal distance from the sides of the angle.As the triangle's incenter is always located inside the triangle, so we can conclude that the point of concurrency of the angle bisectors of a triangle is inside the triangle.
Therefore, the point of concurrency of the angle bisectors of a triangle is inside the triangle
Please check the attached figure below.
Keywords: angle bisectors of a triangle, point of concurrency
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I NEED HELP ASAP. PLZ HELP
Answer:
Y=x+1...written on the line between c and b
Step-by-step explanation:
CB is perpendicular to EF.
The slope is 1, the y intercept is 1
Therefore. Y =mx+B is y=1x+1
Every item in the Just a Dollar store is priced at $1.00. When Mary Jo opens the store, there is $125.50 in the cash register. When she counts the money in the cash register at the end of the day, the total is $1,085.60. If the sales tax rate is 8.5%, howmany items were sold that day?
Answer:
885
Step-by-step explanation:
Given: Amount available in the cash register= $ 125.50.
Every item is just priced at $1.00
Total amount of money at the end of day= $1085.60
Sales tax rate= 8.5%
First finding total revenue generated at the end of day,
Total revenue at the end of day= [tex]Total\ cash\ at\ the\ end\ of\ day - Cash\ available\ at\ the\ beginning\ of\ day[/tex]
∴ Total revenue at the end of day= [tex]1085.6- 125.5= \$ 960.1[/tex]
Lets assume total number of item sold be "x".
Now, forming an equation to determine the total revenue generated at the end of day.
We know, Total revenue is the number of item sold at $1 and sales tax revenue generated on the number of item sold.
⇒ [tex]\$1 \times x + \frac{8.5}{100} \times x= \$ 960.1[/tex]
⇒[tex]1x+0.085x= 960.1[/tex]
⇒ [tex]1.085x= 960.1[/tex]
dividing both side by 1.085
⇒[tex]x= \frac{960.1}{1.085}[/tex]
∴ x= [tex]884.884[/tex] [tex]\approx 885[/tex]
Hence, total number item sold in the day is 885
Mai and Tyler work on the equation 2/5b+1=-11 together. Mais soulution is b=-25 and Tyler’s is b=-28. Here is their work. Do you agree with their solutions? Explain or show your reasoning.
Mai’s work : Tyler’s work:
2/5b+1=-11 2/5+1=-11
2/5b=-10. 2b+1=-55
B=-10•5/2. 2b=-56
B=-25. B=-28
PLEASE HELLP ME
Answer:
No I don't agree with their solution; both their answers are wrong.
Correct answer is [tex]b=-30[/tex].
Step-by-step explanation:
Given:
[tex]\frac{2}{5}b+1=-11[/tex]
Now given:
According to Mai [tex]b = -25[/tex] and According to Tyler [tex]b = -28[/tex]
Now we need to find which of them is correct.
So we will solve the given equation we get;
[tex]\frac{2}{5}b+1=-11[/tex]
Subtracting both side by 1 we get;
[tex]\frac{2}{5}b+1-1=-11-1\\\\\frac{2}{5}b =-12[/tex]
Now Multiplying both side [tex]\frac{5}{2}[/tex] we get;
[tex]\frac{2}{5}b\times\frac{5}{2}= -12 \times \frac{5}{2}\\\\b=-6\times 5\\\\b=-30[/tex]
Hence both of them are incorrect, correct answer is [tex]b=-30[/tex].
Both Mai's and Tyler's solutions are incorrect. Mai's solution is incorrect as the correct solution to b is -30, not -25. Tyler's work has several typos that lead to an incorrect solution. To correctly solve the equation, you should subtract 1 from both sides to get 2/5b = -12, then multiply by the reciprocal of 2/5 which gives b = -30.
Explanation:The original equation presented is 2/5b + 1 = -11. Let's verify both Mai's and Tyler's solutions:
Mai's work: In her work, she correctly subtracts 1 from both sides of the equation to isolate the term with b, which gives 2/5b = -12. Multiplying both sides by the reciprocal of 2/5 (which is 5/2) indeed gives b = -30, not b = -25. So, Mai's solution is incorrect.Tyler's work: Tyler's work has significant typos that prevent it from being a correct solution. He reformulated the equation to 2b + 1 = -55 which isn't equivalent to the original equation. So, Tyler's solution is incorrect as well.The correct procedure should be: Subtract 1 from both sides of the equation to get 2/5b = -12. Then multiply both sides by 5/2 to solve for b, which gives a correct solution of b = -30.
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(4x2 – 9x - 1) + (x2 – 5x – 3)
Answer:
5x^2-14x-4
Step-by-step explanation:
(4x^2-9x-1)+(x^2-5x-3)
4x^2+x^2-9x+(-5x)-1+(-3)
5x^2-9x-5x-1-3
5x^2-14x-4
An auto repair shop charged a customer $280 to repair a car. The bill listed $80 for parts the remainder for labor. If the cost of labor is $50 per hour, how many hours of labor did it take to repair the car?
what is the geometric mean of 2 and 135
[tex]\bf \stackrel{\textit{geometric mean of 2 and 135}}{\cfrac{2}{x}=\cfrac{x}{135}\implies 270 = x^2}\implies \sqrt{270}=x[/tex]
Find the sum of the polynomials 3x^5y – 2x^3y^4 - 7xy^5 and -8x^5y+ 2x^3y^4+xy^3
Answer:
the degree of a polynomial is the highest exponent in a term
thus it'd be 7 cuz
2x^3y^4
4 + 3 = 7
Step-by-step explanation:
I think thats write, not completly sure if its wrong lmk
6 x 4237 solve using distributive property
Answer: 25422
Step-by-step explanation:
6(4000+237)
6(4000) + 6(237)
24000 + 1422
24000+1422=25422
Answer:
6·4237 = 25422
Step-by-step explanation:
This is the way multiplication by hand is usually done.
6(4237) = 6(4000 +200 +30 +7) = 6·4000 +6·200 +6·30 +6·7
= 24000 +1200 +180 +42
= 25200 +222 . . . . . add first two terms and last two terms
= 25422
Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
A.(-2,2)
B.(-1,2)
C.(2,-2)
D.(2,-1)
Answer:
B.(-1,2)
Step-by-step explanation:
In a function, there can not be two different values of y corresponding to the same value of x.
See the graph attached.
Here, the points on the graph are (1,2), (2,-3), (-2,-2) and (-3,1).
If we consider point (-2,2) then there will be two points corresponding to the same x value i.e. (-2,-2) and (-2,2).
Similarly, if we consider the point (2,-2) or (2.-1) then also there becomes more than one values of y for a single value of x i.e. x = 2.
So, if we consider the ordered pair (-1,2) then only the graph still represents a function. (Answer)
Answer:
B.(-1,2)
Step-by-step explanation:
If a population consists of 54,000,000 people and a census is taken, how many people are sampled?
Answer:
A.54,000,000
Step-by-step explanation:
apexs
Can someone Help Me With The Answers?
Answer:
5 1/3 x 2 3/4= 3/4 5 x 2 = 10
Step-by-step explanation:
Multiply fractions 1/3 x 3/4= 3/4
Select the correct answer.
Which expression gives the same result as ?
A.
B.
C.
D.
Answer: A. would give the same result as the blank space as generally, when you think the answer is A. you should double check that as teachers know that students will always guess A in a pinch.
Hope this helps! :)Step-by-step explanation:
What is the answer?
Answer:
Step-by-step explanation:
141
Answer:
23
Step-by-step explanation: