The hard-cover edition of a book cost 3 times as much as the paperback edition. Both editions together cost $26.60. Find the cost of each.

Answer:

(n - 1)/2

Step-by-step explanation:

F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)

  = (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)

     (there are n terms of 1)

  = n - (1 + 2 + 3 + ... + n)/n

  = n - [n x (n + 1)/2]/n

  = n - [n x (n + 1)]/[2 x n]

  = n - (n+1)/2

  = (2n - n - 1)/2

  = (n - 1)/2

Hope this helps!

Answer:

$15.70

Step-by-step explanation:

The total Cost is 101.40

The tax is               7.20    Subtract the tax

=====================

The cost of 6 CDs=94.20

1 CD costs 94.2 / 6

1 CD costs 15.70

Answer:

x=11/36

Step-by-step explanation:

1. Move the 4/9 to the right side to isolate valu e"x."

2. Create a common denominator between "4/9" and "3/4"

3. Your equation should look like this;

x=3/4-4/9

x=27/36-16/36

x=11/36

Answer:

11/36

Step-by-step explanation:

all work is in the image below!

Answer:

144

Step-by-step explanation:

b2 – 4ac =

(–8)^2 – (4)(2)(–10) =

64 + 80

144

Answer:

a = -5

Step-by-step explanation:

negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3)) can be expressed mathematically as follows.

- (5 - (a + 1)) = 9 - (5 - (2a - 3))

using the principle of PEMDAS, all the parenthesis values are first solved

- (5 - a - 1) = 9 - (5 - 2a + 3)

-5 + a + 1 = 9 - 5 + 2a - 3

collect like terms

-5 + 1 - 9 + 5 + 3 = 2a - a

-5 = a Therefore,

a = -5

Answer:

-5

Step-by-step explanation:

Answer:

First notice that they’re asking for the absolute value of the equation.

The absolute value is how far that number is from 0.

Basically it’s the number without a negative sign.

ok so 6-27 = -21

The product for 6-27 (21) is 21 spaces away from 0.

|6-27| = 21

21 is the answer to your question.

Hope this helped and pls mark me brainliest if it did :)

Answer:

The number line is attached below.

Step-by-step explanation:

The number to be plotted on the number line is:

[tex]x=-1\frac{7}{8}[/tex]

The value of x lies between -2 and 0.

Draw a number line from -2 to 0 with intervals at every one-eight value.

Mark the point at [tex]x=-1\frac{7}{8}[/tex].

The number line is attached below.

Answer:

38.88

Step-by-step explanation:

72% of 54

= [tex]\frac{72}{100}[/tex] × 54

= 0.72 × 54

= 38.88

Answer:

38.88

Step-by-step explanation:

so if you work it out like me then you break it down

100% = 54

10% = 5.4

1% = 0.54  

you would take the 10% (5.4) and times it by 7 to get 70% (37.8) now you would take 1% (0.54) and times that by 2 and then add the 70% and the 1% times 2 together and you should get 38.88

Answer:

About 198.6 feet

Step-by-step explanation:

This situation essentially forms a sideways triangle with height 80 feet. It can be divided into two right triangles, which you can each find the base length for, and then add them together to find the total height of the building.

Let's start with the lower base (with the angle measure of 56 degrees), which we'll call b. The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side, meaning that:

[tex]\tan 56=\dfrac{b}{80} \\\\b=80 \cdot \tan 56\approx 118.6[/tex]

Now, let's do it for the upper part, which we'll call y:

[tex]\tan 45=\dfrac{y}{80} \\\\y=\tan 45 \cdot 80=1 \cdot 80 =80[/tex]

Adding these together, you get a height of approximately 198.6 feet. Hope this helps!

Answer:

answer is 198.6

Step-by-step explanation:

Answer:

$16

Step-by-step explanation:

First subtract $351 from $895 to find the dollar amount we're considering.

($895 - $351 = $544)

Then, divide the 34 teams into the $544 to yield the dollar amount each team should be charged.  ($544 / 34 = $16)

Answer:

The value to be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x² is -(x + 11)

Step-by-step explanation:

By long division, we have;

[tex]{\left ({x^{3}-6x^{2}+11x+8} \right )\div 1 - 3x + x^{2}}[/tex] = x - 3

-(x³ - 3·x² + x)

     -3·x² + 10·x + 8

     -(-3·x² + 9·x -3)

                  x + 11

Therefore, -(x + 11) should be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x².

That is  (x³ - 6·x² + 11·x + 8 - x - 11) ÷ (1 - 3·x + x²) = x - 3.

Description:

Formula:  length * width * height    (L*W*H)

volume of larger prism

vp=45/4 ft^3 =11.25

vs=1/2*1/2*1/2

vs=0.125 ft^3

n=vp/vs

n= 11.25/.125

n=90

Answer: 90 smaller cubes will completely fill in the prism

Please mark brainliest

Hope this helps.

The unit rate would be points per game.

To find the points per game, divide both numbers by 6:

288/6 = 48

the unit rate would be 48 points / 1 game.

The answer is the first choice.

Answer:

[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex] or the 1st option

Step-by-step explanation:

[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex]

We get this answer because to find the unit rate, we need to get however many points over one game.

Answer:

Brainliest goes to me!

Step-by-step explanation:

3

3.268

lets only look at 3.2   .......

3.2 is rounded down to 3

Answer:

3.268 rounds to 3

Step-by-step explanation:

Please mark Brainliest

Answer:

34/50 = 68%

14/20 = 70%

answer: the German test

can i get brainliest?

Answer:34/50 = 68%

14/20 = 70%

Step-by-step explanation:mark me as brainest and vote for me plssss

Answer:

A. 4 hours

Step-by-step explanation:

100 divided by 25

Answer:

m=-16

Step-by-step explanation:

To solve the equation, we want to find out what m is. In order to do this, we have to get m by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-35=m-19

19 is being subtract from m (-19). The opposite of subtraction is addition. Add 19 to both sides (+19) The -19 and +19 equal 0, and therefore cancel each other out.

-35+19=m-19+19

-35+19=m

-16=m

Let's check our solution. Plug -16 back in for m in the original equation.

-35=m-19

-35=-16-19

-35=-35

Both sides of the equation are the same, so we know that m is equal to -16.

Answer:

Length of AC segment=10 units

Step-by-step explanation:

We are given that AB and DA are radius of circle.

BC and DC are tangents of circle which intersect at point C.

AB=8 units

BC=6 units

Angle CAD=37 degree

We know that radius is always perpendicular to the tangent.

Therefore, AB is perpendicular to BC.

Using Pythagoras theorem

[tex](Hypotenuse)^2=(Base)^2+(perpendicular\;side)^2[/tex]

[tex]AC^2=AB^2+BC^2[/tex]

[tex]AC^2=8^2+6^2=100[/tex]

[tex]AC=\sqrt{100}=10 units[/tex]

Answer:

a.) 10 units

Step-by-step explanation:

correct on edg.

Answer:

x = -63

Step-by-step explanation:

If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.

The line passes B and C has the form of y = ax + b

=> -4  = a(-3) + b

    -5  = a(7) + b

=> Subtraction 1st equation from 2nd equation, we have:

    -1 = 10a

=> a = -1/10

=> b = -4 + 3(-1/0) = -43/10

=> This line has form of y = (-1/10)x -43/10

This line passes A(x, 2)

=> 2 = (-1/10)x - 43/10

=> 2 + 43/10 = (-1/10)x

=> 63/10 = (-1/10)x

=> x = -63

Hope this helps!

Answer:

118,900,000,000,000 (1.189 × 10^14)

Step-by-step explanation:

First, assume that a cell is roughly a sphere with radius 10−³cm (. Let's compute the volume of the cell from the relation between radius and volume:

The volume V of a sphere with radius r is

V=(4π)/3 r³

where r³ and V have the same units. The volume of a cell with radius 10−³cm is therefore

V=4π³/3(10−³)3≈4.1888×10−⁹ cm³.

Next, we use the fact that the density of a cell is approximately the density of water which is 1g/cm³. Let's compute the mass of a cell from its volume and density using the definition of density:

density = mass/volume

which is equivalent to

mass = density×volume.

The mass of a cell is therefore

1 (g)/cm³×4.1888×10−⁹cm³ ≈ 4.1888×10−⁹g.

Now you know the mass of a cell, what other piece of information do you need to work out the number of cells in your body? Your mass in grams (if you know your weight in pounds, you can convert: 1 lb≈453.6 grams).

Number of cells=Your Mass/Mass of Cell

For example, the mass of a 175 lb is about 45,360 grams. We have that

‪79378g/4.1888×10−⁹g≈11.89 × 10^14

so there are approximately 1×10¹⁴=118,900,000,000,000 (1.189 × 10^14) cells in the human body!

Answer:

m∠BCD = 120°

Step-by-step explanation:

Since the interior angles of a quadrilateral add up to 360°, then we get:

2x+x+2x+x=360°

6x=360°

Divide both sides by 6

x=60°

Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.

Answer:

The inverse is x-8

Step-by-step explanation:

g(x) = x+8

y = x+8

To find the inverse, exchange x and y

x = y+8

Solve for y

Subtract 8 from each side

x-8 = y+8-8

x-8 = y

The inverse is x-8

Answer:h=f(X)-x-k

Step-by-step explanation:

F(x)=x+ h+k

h = F(x)-x -k

Answer:

-1.5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A line that shows all solutions

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?

a. The data are skewed left, so most student's practice times are more than the mean practice time.

b. The data are skewed left, so most student's practice times are less than the mean practice time.

c. The data are skewed right, so most student's practice times are less than the mean practice time.

d. The data are skewed right, so most student's practice times are more than the mean practice time.

Answer:

The correct option is a.

The data are skewed left, so most student's practice times are more than the mean practice time.

Step-by-step explanation:

Refer to the attached box plot which shows number of hours the students spent on practice for playing their instrument each week.

When the data distribution is not symmetric around the mean then it is either skewed to right or skewed to left.

The given box plot is skewed to the left since the tail of the distribution on the left side is longer than the right side or in other words, most of the data is leaning to the right side of the curve.

Due to this, most student's practice times are more than the mean practice time.

A left skewed distribution is also known as negatively skewed distribution.

Therefore, we can conclude that the correct option is a.

a. The data are skewed left, so most student's practice times are more than the mean practice time.

Answer:

0.25 rad to the nearest hundredth radian

Step-by-step explanation:

Here is the complete question

Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.  

R(θ) = v₀²sin2θ/32

If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.

(θ)= ?rad

Solution

R(θ) = v₀²sin2θ/32

If v₀ = 80 ft/s and R(θ) = 95 ft

θ = [sin⁻¹(32R(θ)/v₀²)]/2

= [sin⁻¹(32 × 95/80²)]/2

=  [sin⁻¹(3040/6400)]/2

=  [sin⁻¹(0.475)]/2

= 28.36°/2

= 14.18°

Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad

= 0.25 rad to the nearest hundredth radian

Answer:

Theta= 0.32 rad

or Theta= 1.25 rad

Step-by-step explanation:

On the Aleks explanation

Answer: No

Explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relation shown here, notice that

the x-coordinate 2 appears twice.

In one case, 2 corresponds to -4 and in

the other case, 2 corresponds to -4.

Since the x-coordinate 2 corresponds to more than one

y-coordinate, no, this relation is not a function.