The price of a DVD is $24.00 plus %8 sales tax. What is the sales tax on this DVD in dollars and cents

Answer:

8(x-6) at x=-1  is -56     &   2a² - 2a - 15 at a =13  is 297

Step-by-step explanation:

sub x = -1 into 8(x-6) which becomes 8(-1-6) which is equal to 8 x -7 = -56

Sub a = 13 into 2a²-2a-15 =  2(13²)  - 2(13) - 15  =  338 - 26 - 15 = 297

Answer:

wait hold on how much money does she have in total?

Step-by-step explanation:

Answer:

20 < x < 50

Step-by-step explanation:

The least she will buy is 4, so multiply that by 5 to get 20.

The most she will buy is 10, so multiply that by 5 to get 50.

So:

20 < x <50

Answer:

1/12πx³

Step-by-step explanation:

Given that :

Base diameter = x

Height, (h) = x

Volume of a cone (V) :

1/3 πr²h

Where r = radius = diameter / 2 = x/2

Hence,

V = 1/3 * π * (x/2)² * x

V = 1/3 * π * x²/4 * x

V = 1/12 * π * x³

V = 1/12πx³

Answer:

90%

Step-by-step explanation:

18 divided by 20 = .9 witch means 90% of 1

Answer:

3b = 27

Step-by-step explanation:

They will each receive 9 books

Answer:

1/2

Step-by-step explanation:

Step one:

given data

sample space

1 blue slice,

2 red slices, and

3 yellow slices

sample size= 1+2+3= 6

Required:

The probability that the dial stops on a blue or red slice

1. The probability that the dial stops on a blue = 1/6

2. The probability that the dial stops on a red= 2/6= 1/3

Hence The probability that the dial stops on a blue or red= 1/6+1/3

= 1+2/6

=3/6

=1/2

Answer:

the answers are A and C

Step-by-step explanation:

edge 2020

None of the triangles are congruent to each other.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given figures,

Measuring with scale and protractor

In triangle XYZ

Length of XY = 2.5 cm

Length  of YZ = 2.1 cm

Length of ZX = 1.8 cm

∠X = 58°

∠Y = 45°

∠Z = 77°

In triangle DEF

Length of DE = 2.8 cm

Length  of EF = 1.9 cm

Length of FD = 2.6 cm

∠D = 42°

∠E = 63°

∠F = 75°

In triangle PQR

Length of PQ = 1.9 cm

Length  of QR = 2.5 cm

Length of RP = 2.1 cm

∠P = 74°

∠Q = 57°

∠R = 49°

Hence, none of the triangles are congruent.

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Answer:

529.41

Step-by-step explanation:

From the above question, we are to find the Principal

The formula to find the Principal (Initial amount invested) is =

P = A / (1 + rt)

Where

A = Amount paid after t years. = 720

r = rate of interest = 6% = 0.06

t = time in years = 6

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

P = 720 / ( 1 + (0.06 × 6)) = 529.41176470588

Approximately

P = 529.41

Therefore, Kaitlyn's brother borrowed 529.41 for school

Answer:

x= 10 bc 4×10 equals 40 +21 equals 61

9514 1404 393

Answer:

  a.  10

  b.  5

  c.  3 with 1/4 pound left over

Step-by-step explanation:

You can find the number of 1/4 pound bags by dividing 2 1/2 pounds by 1/4 pound. In decimal, this is obvious:

  2.5/0.25 = 10

Using fractions, it is ...

  (2 1/2)/(1/4) = (5/2)/(1/4) = (10/4)/(1/4) = 10/1 = 10

__

a) Tim can make 10 1/4-pound bags from 2 1/2 pounds.

__

b) It is worthwhile to note that a 1/2-pound bag is equivalent to two 1/4-pound bags. So, the number of 1/2-pound bags will be 10/2 = 5.

Tim can make 5 1/2-pound bags from 2 1/2 pounds.

__

c) It is worthwhile to note that a 3/4-pound bag is equivalent to three 1/4-pound bags. So, the number of 3/4-pound bags will be 10/3 = 3 1/3.

Tim can make 3 3/4-pound bags from 2 1/2 pounds, with 1/4 pound left over.

Answer:

6.50

Step-by-step explanation:

To start off, note that 6 1/2 is a mixed number, also known as a mixed fraction. It has a whole number and a fractional number. We have labeled the parts of the mixed number below so it is easier to follow along.

6 = Whole number

1 = Numerator

2 = Denominator

To get 6 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.

Here are the detailed math steps we use to convert 6 1/2 mixed number to decimal form:

Step 1: Multiply the whole number by the denominator:

6 × 2 = 12

Step 2: Add the product you got in Step 1 to the numerator:

12 + 1 = 13

Step 3: Divide the sum from Step 2 by the denominator:

13 ÷ 2 = 6.5

That's it! The answer to 6 1/2 in decimal form is displayed below:

6 1/2 = 6.50

Hope this helps

Step-by-step explanation:

I dont know how to choose the answer but I will give my own opinion..

total marble=55

green=15

red=12

blue=?

so: 55-12+15

blue=55-27

so blue =28..

sorry if it is wrong

Answer:

A

Step-by-step explanation:

Answer: I think it's a relflection over x-axis followed by a rotation of 180 degrees which is b

Step-by-step explanation:

The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin

There are three types of translations -

Given is to find the set of transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2).

The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.

Therefore, the transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.

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Answer:

$30

Step-by-step explanation:

Multiply 15 by 2 because 4 hours is twice as much as 2 hours.

Answer:

30

Explanation:

Hope it helps!

Answer:

D

Step-by-step explanation:

Since we start with 10,080 gallons after 0 minutes pass, we see the next point. Luckily, we are given an exact point of a number between 10,080 and 8640. The difference of those two numbers is 1440, and divide that by 2 to get 720. So we drain 720 per hour. HOWEVER, it says "minutes", so we divide 720 by 60 (hour -> minutes) to get 12.

*The reason I divided by 2 was to get the number of gallons after 1 hour passes*

Answer:

D. water is draining at a rate of 12gal/min

hope this helps

Step-by-step explanation:

Answer:

A. the median number of hours spent on Math was about 2.9

Step-by-step explanation:

The least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The median number of hours spent on Math was about 2.9. Therefore, option A is the correct answer.

The given box plot shows the number of hours students have spent on math this week.

The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the centre of the box.

Here, in the given box plot we can see the least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.

The vertical line represents the median, which is 2.9.

Therefore, option A is the correct answer.

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Answer:

[tex] \frac{c + d}{2} = \frac{c + d}{2} [/tex]

The required average of the two numbers c and d is a = [c + d] / 2.

To determine the average an of two numbers c and d.

The average of the values is the ratio of the total sum of values to the number of values.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Since, from the above definition,

Average = sum of the number / total number
We have c and d, two numbers

Now sum = c + d
Total number  = 2
Average = [ c + d ] / 2

Thus, the required average of the two numbers c and d is a = [c + d] / 2.

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You can't find slope intercept form because it is perpendicular so the equation is x= -8

Answer:

y=-x+24

Step-by-step explanation:

Answer:

y=-x +24

ithink

Step-by-step explanation:

9514 1404 393

Answer:

  29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

  C = arccos((a^2 +b^2 -c^2)/(2ab))

  C = arccos((90^2 +55^2 -50^2)/(2·90·55))

  C = arccos(8625/9900) ≈ 29.4002°

  C ≈ 29.4°

Answer:

3. missing angle is 35°

M＝cos∧-1(5/7.8)＝50.13°

N＝180°-90°-50.13°＝39.87°

Answer:

420 trees

Step-by-step explanation:

6 volunteers × 70 trees planted by each = 420 trees planted in total.

Answer:

y - 2 = 6(x + 9)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (-9, 2)

Slope m = 6

Step 2: Write Function

Substitute variables into the general form.

y - 2 = 6(x + 9)

9514 1404 393

Explanation:

General information

All of these questions have to do with various translations of the square root function. The first problem deals with the basic function. Other problems translate the graph in various ways.

The basic square root function has its vertex at (0, 0) and is defined for x-values (domain) that are 0 or positive. The resulting y-values (range) are also zero or positive.

The basic function intercepts the x- and y-axes only at the point (0, 0), so both intercepts are 0. Unless the function is reflected vertically or horizontally, its minimum will be at the left end of any interval, and its maximum will be at the right end.

The transformation of a function g(x) to f(x) = g(x -a) +b causes it to be translated 'a' units to the right and 'b' units up. For the functions here, that means the vertex is translated from (0, 0) to (a, b). For the functions here, the vertex values are the limits of the domain and range, so those will be altered accordingly.

Problems

1.

a) The graph is shown in the attachment as f1 (orange).

b) vertex: (0, 0); domain: [0, ∞); range: [0, ∞)

c) x-intercept: 0; y-intercept: 0

d) On the interval [1, 4], the minimum is √1 = 1, and the maximum is √4 = 2.

__

2.

a) The graph is shown in the attachment as f2 (green). The basic function is translated left 1 and down 2.

b) vertex: (-1, -2); domain: [-1, ∞); range: [-2, ∞)

c) x-intercept: 3; y-intercept: -1 (read from the graph)

d) On the interval, [0.5, 5], the minimum is √1.5 -2 ≈ -0.78; the maximum is √6 -2 ≈ 0.45. Min and max values are shown in the table in the second attachment.

__

3.

a) The graph is shown in the attachment as f3 (purple). The basic function is translated up 3.

b) vertex: (0, 3); domain: [0, ∞); range: [3, ∞)

c) x-intercept: (none); y-intercept: 3 (the vertex)

d) On the interval, [2, 4], the minimum is √2 +3 ≈ 4.41; the maximum is √4 +3 ≈ 5. Min and max values are shown in the table in the third attachment.

__

4.

a) The graph is shown in the attachment as f4 (red). The leading multiplier of -2 causes the graph to be reflected over the x-axis and vertically expanded by a factor of 2 before being translated right 2 and up 3.

b) vertex: (2, 3); domain: [2, ∞); range: (-∞, 3]. Note the range is all y-values less than or equal to 3 because of the vertical reflection.

c) x-intercept: 4.25; y-intercept: (none). The x-intercept is found by solving ...

  0 = -2√(x -2) +3

  (-3/-2)² = x-2

  2 +2.25 = x = 4.25

d) On the interval, [4, 7], the minimum is -2√(7 -2)+3 = 3-2√5 ≈ -1.47; the maximum is -2√(4-2)+3 = 3-2√2 ≈ 0.17. Min and max values are shown in the table in the second attachment.

Answer:

129-14 is 115 than minus 6 than add 12

Step-by-step explanation:

Answer:

The decrease is 21%

Step-by-step explanation:

So lets say the Original area is Pi X (Radius^2)

Lets call Radius as R

For the new radius, it would be: R + 0.1R which is 1.1R

The new area is: Pi X 1.1R^2, which going further is 1.21 after squaring 1.1.

The Original area is: Pi X Radius^2

To find the percent decrease, subtract the new area by the original, cross out Pi X Radius squared and you are only left with 21%

I am in middle school so I don't know if it is going to be incorrect, but I ask you to give it a try and tell me if it was right or not. I have barely done this topic but recently I had a bonus homework question on a question almost exactly like this and this is the way I did it and I was correct. Thanks! Hope it helped! :)

Answer:

19%

Step-by-step explanation:

I got it correct in the rsm

Answer:

357÷12

Step-by-step explanation:

You need to figure out how many are in one so you would have to divide it by 12 to get your answer.

Answer:

3650 yds

Step-by-step explanation:

Take the length that each person ran and multiply by the number of runners

5 * 730yds

3650 yds

Answer:

length that was ran along = length the first racer runs

= 1×730

= 730 yards

Answer:

What is your question? You just gave a balanced equation.