The price of a book, which regularly sells for $24, was marked down by 25%. A coupon reduced the price by another 10%. What was the final selling price?

Answer:

6.1

Step-by-step explanation:

is the answer

Answer:

2x(2x - 3)

Step-by-step explanation:

Given:

(3x^2+2y^2-3x)+(2x^2+y^2-2x)-(x^2+3y^2+x)

Written as:

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

= 3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x

Collect like terms

= 3x² + 2x² - x² + 2y² + y²- 3y² - 3x - 2x - x

= 4x² + 0 - 6x

= 4x² - 6x

= 2x(2x - 3)

Answer:

answer is:

Circum: 25.13274 cm^2

Area: 50.26548 cm^2

Step-by-step explanation for the CIRCUMFERNCE ONLY:

Original equation for the circumference of a circle:

C=2(pi)r

We will use 3.14 as pi

We know that the diameter of a circle is 2 times the radius, so in order to find the radius all we have to do is divide the diameter by 2.

8/2 = 4

So now we know what the radius is equal to.

4

So now just plug in your numbers to the original equation

2 X (3.14) X 4

25.13274

If we were to round up the answer would be

25.13

Hope this helps!

9514 1404 393

Answer:

  $109.97

Step-by-step explanation:

Each straight piece of wire is the diagonal of a square that is 3" on a side. The Pythagorean theorem tells you the length of that diagonal is ...

  d = √(3^2 +3^2) = √18 = 3√2 . . . inches

There are 4 such diagonals on each trivet, so the total length of wire for 12 trivets is ...

  (12)(4)(3√2) = 144√2 . . . inches

At a cost of $0.54 per inch, the total cost for 12 trivets will be ...

  ($0.54)(144√2) = $109.97

The cost of the copper wire for making 12 trivets is $109.97.

Answer:

[tex]4[/tex] x [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

4*10^6

Step-by-step explanation:

9514 1404 393

Answer:

  ∠D = 68°

Step-by-step explanation:

In a quadrilateral that is inscribed in a circle, opposite angles are supplementary.

  ∠D = 180° - ∠B

  ∠D = 180° -112°

  ∠D = 68°

Answer:

Replace w and z with the given values:

5^2 + 2 + 48 / 2(8)

Simplify:

75/16 = 4 and 11/16

Step-by-step explanation:

hopes this helps

-Unknown

Answer:

$1.21 per song

Step-by-step explanation:

6 × $1.21 = $7.26

17 × $1.21 = $20.57

20 × $1.21 = $24.50

Answer:

2 2/3

Step-by-step explanation:

7-5 =2

2/3+2= 2 2/3

hope this helpes

Answer:

329

Step-by-step explanation:

thanks for points have a blessed day

Step-by-step explanation:

329 :) i kinda don't know how to explain

Answer:

3y + 6

Step-by-step explanation:

3 x y = 3y

3 x 2 = 6

3y + 6

Answer:

A. The perimeter of the third triangle will be equal to the perimeter of the second triangle because the lengths of line segments are preserved during translations.

Step-by-step explanation:

When a shape is translated, it simply means it is moved. Nothing about it is being changed besides the location. Therefore, it will have the same perimeter because its sides are the exact same.

I hope this helps! ☺

Answer:

Younger: 12.78 per item

Older: 9.67 per item

Step-by-step explanation:

Well, if all the shirts and shorts were the same price divide the total price and total amount of items they bought.

Younger Brother:

8 shirts + 10 shorts = 18 items for $230

$230 ÷ 18 items = about 12.78 per item (it comes out to a lot of number so I estimated it the nearest hundredth)

Older Brother:

8 shirts + 4 shorts = 12 items

$116 ÷ 12 items = about 9.67 per item (estimated again)

Answer:

200

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

[tex]x^y=z\\log_xz=y[/tex]

which means that

[tex]log_{1.06}2.594=n[/tex]

Solve and get

16.362

which rounds to 17

Answer:

x = 38.05

Step-by-step explanation:

Using the Pythagoras theorem to find x

x is the hypotenuse

The other sides are opposite and adjacent

x² = 30²+25²

x² = 900+625

x² = 1525

x = √1525

x = 39.05

Answer:

SAS

Step-by-step explanation:

In triangle ABC and triangle EFD

1. BC = CD (S) Given

2. < BCD = < EFD (A) being vertically opposite. angles.

3. AC = CE (S) Given

Hence

By SAS postulate Triangle ABC and triangle EFD are congruent.

HOPE IT HELPS :)❤

Answer:

B

Step-by-step explanation:

You just subtract

Answer:

Step-by-step explanation:

height of post ÷ length of shadow = 2/10 = ⅕

height of tower is ⅕ the length of its shadow.

⅕×125 = 25

The tower is 25 feet tall

Answer:

100 - 60 is 40 so it is 40%

Step-by-step explanation:

Answer:

(1,-1)

Step-by-step explanation:

The intersection of the two lines

Answer:

13/14

Step-by-step explanation:

3/7+1/2

LCM = 14

6/14+7/14=13/14

Answer:

6/14 + 7/14 = 13/14

Answer:

31.42 ft.

I dont know if this answer is fully correct because i hate doing circles so sorry if im wrong

Step-by-step explanation:

Answer:

20 is your diameter

Step-by-step explanation:

radius is half of a diameter

Answer:

Range: [1, ∞)

Step-by-step explanation:

[tex]f(x)=2(x+3)^2+1[/tex]

Range: [1, ∞)

Answer:

Line A and Line C are parallel

Step-by-step explanation:

Slope Equation: [tex]m=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Step 1:  Find the slope of the first line

Line a passes through (-1, -2) and (1, 0).

[tex]m = \frac{(0- (-2))}{(1 - (-1))}[/tex]

[tex]m=\frac{2}{2}[/tex]

[tex]m=1[/tex]

Step 2:  Find the slope of the second line

Line b passes through (4, 2) and (2, -2).

[tex]m = \frac{(-2- 2)}{(2 - 4)}[/tex]

[tex]m = \frac{-4}{-2}[/tex]

[tex]m=2[/tex]

Step 3:  Find the slope of the third line.

Line c passes through (0, 2) and (-1, 1).

[tex]m=\frac{(1-2)}{(-1 - 0)}[/tex]

[tex]m=\frac{-1}{-1}[/tex]

[tex]m=1[/tex]

Answer:  Line A and Line C are parallel

Option b. 0.496

we know that

f(x)=0.01(2^{x})

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

where

a=3

b=8

f(a)=f(3)=0.01(2^{3})=0.08

f(b)=f(8)=0.01(2^{8})=2.56

Substitute

\frac{2.56-0.08}{8-3}

\frac{2.48}{5}

0.496

Answer:

A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.

Answer:

A. 4

B. 2

C. 3

D. 2

Step-by-step explanation:

Multiplication!!! Always remember that a right angle is 90 degrees, also a straight angle is 180 degrees..

Remember like this:

90 x 1 =90

90 x 2 =180

90 x 3 = 270

90 x 4 = 360

Answer:

-3

Step-by-step explanation:

slope = Δy / Δx = -6/2 = -3

Answer:

4

Step-by-step explanation:

Greatest common factor (GCF) of 36 and 56 is 4.

Step-1: Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 2^2 × 3^2

Step-2: Prime Factorization of 56

Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:

56 = 2^3 × 7^1

Step-3: Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Step-4: Factors of 56

List of positive integer factors of 56 that divides 36 without a remainder.

1, 2, 4, 7, 8, 14, 28

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36 and 56. The biggest common factor number is the GCF number.

So the greatest common factor 36 and 56 is 4.

The highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.

It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.

It is given that:

The two numbers are: 36 and 56

As we know GCF means highest common factor, the factor which presents the in both numbers:

The GCF(36, 56) can be found using the Division Lemma:

56 = 36x1 + 20

36 = 20x1 + 16

20 = 16x1 + 4

16 = 4x4 + 0

The value of GCF(36, 56) :

GCF(36, 56)  = 4

Thus, the highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.

Learn more about the LCM here:

brainly.com/question/20739723

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