Mathematics Middle School

Janet's Junk Shop is having its annual sale. Matt wants to buy a mixer that originally sold for $28.62 and is now on sale for off. Matt also has a coupon for an additional 15% off the discounted price.

How much will Matt pay for the mixer?

Answers

Answer 1
[tex]n\% \:\:off = (100 -n)\% \:\: of \:the\: original \:price[/tex]
[tex]FinalPrice =[/tex]
[tex](Original Price \times(\frac{100\% - Discount}{100\%}))\times(\frac{100\% - Discount_2}{100\%}) =[/tex]
[tex]\big(\$28.62\times(\frac{100\% - 25\%}{100\%})\big) \times(\frac{100\% - 15\%}{100\%}) = [/tex]
[tex]\big(\$28.62\times(\frac{3}{4})\big) \times(\frac{17}{20}) \approx \$18.25[/tex]

Matt will pay [tex]\$18.25[/tex] for the mixer

Related Questions

What are the factors for 31

Answers

31 is prime meaning that its only factors are 1 and itself.

Final answer: 1, 31
31 is not even it is an odd number



So it will be 1 & 31


1x31=31

Simplify open parentheses x to the 5 eighths power close parentheses to the 2 thirds power.

Answers

If we are to express the word problem to its mathematical expression,

                                        (x^5/8)^2/3

The concept to be used in order to answer this item is the product of the exponents. If,

                                     (x^m)^n

The final answer would be,

                                     x^mn

If we apply the same principle to the equation above,

                                 (x^5/8)^(2/3)
                                      x^(5/8)(2/3) 
                                        x^5/12
Thus, the most simplified form is equal to x^5/12.                                    

Answer:

[tex]x^{\frac{5}{12}}[/tex]

Step-by-step explanation:

[tex](x^{\frac{5}{8}})^{\frac{2}{3}}[/tex]

To simplify it we multiply the exponents inside with exponent outside

[tex](a^m)^n = a^{mn}[/tex]

[tex]\frac{5}{8} *\frac{2}{3}[/tex]

Cancel out 8 and 2

[tex]\frac{5}{4} *\frac{1}{3}[/tex]

[tex]\frac{5}{12}[/tex]

tex](x^{\frac{5}{8}})^{\frac{2}{3}}=\frac{5}{12}[/tex]

The diagonal of a square unit is x units. What is the Area of the square in terms of x

Answers

The diagonal of a square is:

d^2=s^2+s^2

d^2=2s^2  we are told that d=x  so

x^2=2s^2

s^2=(x^2)/2

And since the area of a square is s^2, the area of this square is:

(x^2)/2

Or as it is shown in your answer choices...

(1/2)x^2 square units  (the top answer :P)

The area of a square with a diagonal x is (1/2)x² unit²

Square

A square is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. All the sides of a square have the same length and each angle measure 90 degrees.

let l represent the length of the side of the square and x be the length of the diagonal. Using Pythagoras theorem:

l² + l² = x²x² = 2l²l = x√(1/2)

Area of square = l * l = x√(1/2) * x√(1/2) = x² * 1/2 = (1/2)x² unit²

The area of a square with a diagonal x is (1/2)x² unit²

Find out more on square at: https://brainly.com/question/8429946

The value of 4 in 3,492 is how many times the value of 4 in 704?

Answers

100, because in 3,492, it is in the hundreds place. In 704, it is in the one's place. 100/1 is 100. So 100 times greater.

Which expression represents the value, in dollars, of a certain number of dimes, d, and nickels, n? 0.10d + 0.05n 0.05d + 0.10n 0.15d + n 0.15dn

Answers

0.10d+0.05n because a nickel is .05 of a dollar and a dime is .10 of a dollar so you multiply d by.10 and add that by .05 times n to get what part of a dollar is d dimes and n nickels.

Answer:

0.10d+0.05n

Step-by-step explanation:

The sum of 2/9 and 2 5/9 in simplest form is

Answers

2/9 + 2 5/9
Add the fractions first:
2/9 + 5/9 = 7/9
2 7/9

Answer:

2 7/9

Step-by-step explanation:

99PTS (08.06)The data set shows the number of cars parked in the restaurant parking lot during the lunch hour each day for two weeks: 8 7 14 10 13 27 11 10 14 7 12 9 14 9 Which of the following statements is true based on the data set?

Answers

The outliner is 27, the answer is C
the answer is C          hopes it helps

A six-sided number cube labeled 1 through 6 is rolled 600 times. An odd number is rolled 272 times. Compare the experimental probability of rolling an odd number with the relative frequency of rolling an odd number and select one of the statements below that best describes the situation.

Answers

1) Experimental probability: = (number of favorable outcome)/(number of trial:
= 272/600 = 0.4533.

2) Relative frequency = number rolls/Total number of rolls = 272/600

1) is the same as 2)

Answer:

Experimental probability and relative frequency are the same

Step-by-step explanation:

What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?

Answers

(2,-1)(5,-10)
slope = (-10 - (-1) / (5 - 2) = -9/3 = -3

y = mx + b
slope(m) = -3
use either of ur points....(2,-1)...x = 2 and y = -1
now we sub and find b, the y int
-1 = -3(2) + b
-1 = -6 + b
-1 + 6 = b
5 = b

so ur equation is : y = -3x + 5 <==

Consider the following pair of equations: −x − y = −5 y = x + 1 If the two equations are graphed, at what point do the lines representing the two equations intersect? (−2, 3) (3, −2) (2, 3) (3, 2)

Answers

-x - y = -5
y = x + 1

-x -(x + 1) = -5
-x - x - 1 = -5
-2x = -5 + 1
-2x = -4
x = -4/-2
x = 2

y = x + 1
y = 2 + 1
y = 3

solution is : (2,3)

If the divisor is 40 what is the least three digit dividend that would give a reminder four

Answers

The "division algorithm" states that:

Dividend = Divisor × Quotient + Remainder, where R<D

for example:

115 = 7*16+3, tells us that we can fit 7 into 115 at most 16 times,


Back to our problem, the Dividend is a 3 digit number, say abc, the divisor is 40 and the remainder is 4, so we have:

Dividend = Divisor × Quotient + Remainder

abc = 40 × Quotient + 4

we can try some values for the Quotient, but it almost immediately clear that the smallest Quotient that will produce the smallest dividend is 3:

40*2+4=80+4=84 (not 3 digit)
40 * 3 + 4=120+4=124 (the smallest 3 digit dividend)


Answer: 124

Write y less than 21

Answers

I'm assuming you want us to translate the phrase into a mathematical inequality. 

"y less than..." means the y variable is less than something. "... 12" Which is 12.

In mathematics we use the < symbol to indicate "less than"

So, y < 12 is the answer.

Answer:

21-y

Step-by-step explanation:

In mathematics the signs used for more than is + and for less than is -.

The question is asking us to write y less than 21 in mathematical statement form.

y less than 21 means 21-y,

Hence the mathematical statement for y less than 21 is 21-y.

Ralph sold brownies for ​$0.27 a piece in order to earn money to buy baseball cards. If the cards cost ​$0.54 per​ pack, and if Ralph had no money left over after buying​ them, what is the least number of brownies he must have​ sold?

Answers

2 pieces because $0.27 times 2 is $0.54.

Which class has 32% girls?

Answers

a is the answer i belive
the answer to this question is beginning soap

The area of a rectangle rug is (3x + 9) square units.Factor (3x + 39) to find possible dimension of the rug.?

Answers

Would be the (3x+39) factored out

3(x+13)


The possible dimension of the rug will be 3 and (x + 3).

What is expansion?

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

In mathematics, every real-world issue may be transformed into an equation, sometimes in the form of a factor, which must then be expanded to get a solution.

If you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

Area of rectangle = length × width

Given,

Area of rectangle rug =  (3x + 9)

So,

length × width =  (3x + 9)  

length × width = 3(x + 3)

So out of 3 and (x + 3), one would be the length and one would be the width.

For more information about the expansion

brainly.com/question/14447197

#SPJ5

5 divided 1 squared plus 1

Answers

6 because 5 divided by 0ne squared is 5 and + 1 is 6 

Answer: 6

Step-by-step explanation: Use a calculated bro

write an integer for the situation below : 13 feet below the sea level

Answers

It is -13. It is below so negitive
At sea level we would be at 0 feet above the sea. If we are 13 feet below the sea level then we are 0 - 13 or -13 feet below the sea.

So, -13 feet is the answer.

What is a proportion?

Answers

 a proportion is an amount of something compared to another, for example: 

1 : 2

or 

3 : 6

hope this helps

{ y=x^2-2x-6
y=4x+10

Answers

hello : 
here is a solution 

Bernard counted 8 posts along the side of the road. If the posts were 20meters apart how far is the first post from the last

Answers

There will be seven spaces between the 1st and the 8th post.
The distance between posts is 20 meters
The distance between the 1st and the 8th post is 20×7 = 140 metres

Regroup hundreds as Tens:

8 hundreds 9 tens =

Answers

89 tens because 8 x10 is 80 add the 9
89

DOES ANYONE KNOW THE ANSWER???

Answers

First one is the answer

One side of the triangle is 8 in, and the other two sides are equal to a positive whole number of inches. What is the smallest possible perimeter of the triangle?

F. 9 in
G. 10 in
H. 11 in
J. 15 in
K. 17 in

Answers

In a triangle the sum of two sides is always greater than the third side.

If one side = 8 in and other two sides are equal to a positive whole number, then the smallest possible sum of the other two sides = 9 in ⇒
Smallest possible perimeter = 8 + 9 = 17 in

Tony is making small bags of bird sees from a larger bag that weighs 11.16 pounds. If he puts the same amount of seed in each of 6 bags, how much will each bag weigh?

Answers

Tony is dividing the larger bag of bird seeds into 6 smaller bags equally. So, we will divide by 6.

11.16 / 6 = 1.86

So, each smaller bag of bird seeds will weigh 1.86.

0, 7, 26, 63, _ , 215.
What is the missing number in the given sequence?
What is the pattern?

Answers

124 easy! :) (need 20 characters lol)
ur pattern is : a(n) = n^3 - 1
1^3 - 1 = 0
2^3 - 1 = 7
3^3 - 1 = 26
4^3 - 1 = 63
5^3 - 1 = 124 <== ur missing number
6^3 - 1 = 215

An empty rectangular tank, 40 cm long and 25 cm wide, contains 2 metal cubes of edge 10 cm. the tank is being filled with water flowing from a tap at a rate of 10 liters per minute. If it takes 3 minutes to fill up the tank, find the height of the tank.

Answers

Final answer:

The height of the tank is 0.5 cm.

Explanation:

To find the height of the tank, we can use the formula:

Volume of water = base area × height

The base area of the tank can be found by multiplying the length and width: 40 cm × 25 cm = 1000 cm².

The volume of water flowing from the tap is given as 10 liters per minute, which is equivalent to 10000 cm³ per minute or 166.667 cm³ per second. Since it takes 3 minutes to fill up the tank, the total volume of water will be 3 minutes × 166.667 cm³ per second = 500 cm³.

Now, we can plug these values into the formula to find the height:

500 cm³ = 1000 cm² × height

Dividing both sides by 1000 cm² gives:

height = 0.5 cm

Therefore, the height of the tank is 0.5 cm.

HELPPP PLEASEEEEEE!?!?!

Answers

a straight line is 180 degrees so we can find C by subtracting 140 from 180

180-140 = 40 degrees

all 3 inside angles need to equal 180 so now we have

180 = 40 + (2x) + (x+2)

180 =  40 +3x +2

180=42+3x

138=3x

x= 138/3 = 46


 check : 2x= 2*46 = 92

x+2 = 46+2 = 48

92 +48 +40 = 180

 so x = 46 degrees

 so angle B = 2x46 = 92 degrees

PLEASE HELP!

The graph below shows the height an elevator travels, y, in x seconds:

A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 125 in increments of 25 for each grid line. A line is shown connecting points on ordered pair 1, 25 and 2, 50 and 3, 75 and 4, 100. The title of the graph is Rate of Ascent.

What is the rate of change for the relationship represented in the graph?

50
25
fraction 1 over 25
fraction 1 over 50

Answers

The graph is not given , but with the help of information provided by you in the question:

X  :   0       1       2      3     4      5     →→ Time in Seconds

Y   :   0     25   50   75   100   125    →→Height of Elevator Above Ground in feet

Rate of change can be found by using two point slope form of line.

The slope of line joining two points [tex](x_{1},y_{1}) and (x_{2},y_{2})[/tex] is given by = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Taking two points (1,25) and (2,50) and finding the slope of line, that is Rate of change:

Rate of change = [tex]\frac{50-25}{2-1}=25[/tex]

Option (B) 25 is correct answer.



A pyramid and prism have the same base area and height. The prism's base area is 8 square units and its height is 16 units. What is the volume of the pyramid? The volume of the pyramid is __________ cubic units. Enter the number that correctly fills in the blank in the previous sentence.

Answers

Prism dimensions:
8 units² (base area)
16 units (height)

Because the dimensions are the same...

Pyramid dimensions:
8 units² (base area)
16 units (height)

The volume for a pyramid = 1/3 ba * h

Substitute and solve.

   1/3 8 * 16
= 1/3 (128)
= 42.66...

Therefore the volume is approximately 42.67cm³

The volume of the pyramid with a base area of 8 square units and a height of 16 units is 42.67 cubic units.

The volume of a pyramid is calculated as one-third of the base area times the height. The base area of the given pyramid is 8 square units and the height is 16 units. Using the formula for volume V =  rac{1}{3}Ah, where A is the base area and h is the height, the volume of the pyramid can be found as follows:

V =  rac{1}{3}  imes 8  imes 16

V =  rac{1}{3}  imes 128

V = 42.67 cubic units (rounded to two decimal places).

Therefore, the volume of the pyramid is 42.67 cubic units.

The triangle above is changed so that the exterior angle shown measures 128 how does this affect angles b and c

Answers

Answer:

the sum of the measures of angle B and angle C will also be 128 degrees meaning that the sum will decrease by 24 degrees.

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