Find the 17th term of the arithmetic sequence -12, -8, -4, 0, ...

Answer:

a) 40 euros

b) 416 pages

c) 25%

Step-by-step explanation:

This question can be translated to:

Maria bought a book, discounted by 15%, at the price of 34 euros. After reading 1/4 of the pages of the book. She reads 2/3 of the remaining pages and at this point, she has 104 pages left to read. Determine:

a)  The price of the book before the discount

b) The total number of pages in the book

c) The percentage that represents the number of pages that Maria has left to read out of the total number of pages.

I will answer in English.

a) If P is the price of the book, with a discount of the 15% the price will be:

P' = P - P*(15%/100%) = P - P*0.15 = P*0.85

and P' = 34 eur

34 eur = P*0.85

34 eur/0.85 = 40 eur = P

The original price was 40 euros.

b) Now suppose that the book has N pages.

First, she reads 1/4 of the pages, then we have:

N - (1/4)*N =  (3/4)*N pages left.

Then she reads (2/3) of the remaining (3/4)*N pages.

Then there are:

(3/4)*N - (2/3)*(3/4)*N = (1/3)*(3/4)*N = (1/4)*N

And we know that at this point, there are 104 pages left, then:

104 = (1/4)*N

104*4 = N = 416

c) The total number of pages is 416, this is the 100%

there are 104 pages left in the book, this will represent X%, and we want to find the value of X.

then:

416 = 100%

104 = X%

Let's take the quotient of those two equations:

(416)/(104) = (100%/X%)

Now let's isolate X%.

X% = (104/416)*100% = 0.25*100% = 25%

Answer:

yes

Step-by-step explanation:

it comes to an end im so sorry if this is wrong

Answer:

It is irrational, if its not a perfect square. Since 45 is not a perfect square, it is an irrational.

Step-by-step explanation:

Answer:

the 3ed one distributive property

Step-by-step explanation:

Awnser: 4. 4/8 simplified=1/2 6/8 simplified=3/4.

Answer:

c

Step-by-step explanation:

i got irt right on the test

Answer:

Step-by-step explanation:

a=3/4

Answer:

Well, if -1/2 and 2 are slopes of 2 lines, then yes, they are perpendicular.

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal of another line.

Normal line's slope: x

Perpendicular line's slope: -1/x

Answer:

The answer is 88%

Step-by-step explanation:

To find a percentage, just divide the top number by the bottom. 22 divided by 25 is 0.88 which means 22 out of 25 is 88%.

Another way to do it is to multiply both 22 and 25 by 4. The denominator will now equal 100 so now the top number will be the percentage. 22*4 is also 88.

Hope this helped.

Answer:

-5 1/2

i hope this helps <3

Answer:

[tex]-\frac{11}{2}[/tex] is the number which represents the expression [tex]-2+\left(\frac{-7}{2}\right)[/tex].

i.e.

[tex]-2+\left(\frac{-7}{2}\right)=-\frac{11}{2}[/tex]

Step-by-step explanation:

Given the expression

[tex]-2+\left(\frac{-7}{2}\right)[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=-2+\frac{-7}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=-2-\frac{7}{2}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:2=\frac{2\cdot \:2}{2}[/tex]

[tex]=-\frac{2\cdot \:2}{2}-\frac{7}{2}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=-\frac{2\cdot \:2}{2}-\frac{7}{2}[/tex]

[tex]=\frac{-2\cdot \:2-7}{2}[/tex]

[tex]=\frac{-11}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=-\frac{11}{2}[/tex]

Therefore, [tex]-\frac{11}{2}[/tex] is the number which represents the expression [tex]-2+\left(\frac{-7}{2}\right)[/tex].

i.e.

[tex]-2+\left(\frac{-7}{2}\right)=-\frac{11}{2}[/tex]

Answer:

543

Step-by-step explanation:

Answer:

13.1 m

Step-by-step explanation:

From the diagram attached :

Using Sine rule :

a / sin A = b/Sin B = c / sin C

h / sin 25 = 30 / sin 75

Cross multiply :

h * sin 75 = 30 * sin 25

0.9659258 * h = 30 * 0.4226182

h = 12.678547 / 0.9659258

h = 13.125798

Length of flagpole h = 13.1 m

Answer:15.5

Step-by-step explanation:

Answer: 6x -9

Step-by-step explanation:

Answer:

6x - 9

Step-by-step explanation:

8 - 2x + 4 + 8x - 21

combine like terms

6x - 9

Answer:

1 is least 2 is greatest

Step-by-step explanation:

Answer:

[tex]\approx 6^\circ[/tex]

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in  the answer area.

The situation can be represented by a right angled [tex]\triangle ABC[/tex] in which we are given the base and the height of the triangle.

And we have to find the value of [tex]\angle BAD \ or \ \angle C[/tex] (Because they are the internal vertically opposite angles).

Using tangent ratio:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tanC = \dfrac{AC}{BC}\\\Rightarrow tanC = \dfrac{91}{865}\\\Rightarrow tanC = 0.105\\\Rightarrow \angle C \approx 6^\circ[/tex]

Therefore, the angle of depression is: [tex]\approx 6^\circ[/tex]

Answer: 25

Step-by-step explanation:

Answer:

the fourth option

Step-by-step explanation:

i googled it

Answer:the 2nd to the very bottom one

Step-by-step explanation:

Don’t wanna tell

Answer:

Hi, I'm new can I get marked as brainlieser? It would be highly appreciated.

Hope my answer helps :)

lets get into answering your question.

Step-by-step explanation:

first sub x into the equation (x=5) [it is already given]

9 ( 4*5 + 2) 36*5 + 18

= 9 (20+2) 180+18

= 9(22) + 198

198+198

= 369

369 makes a circle So YES

it is a circle.

Answer:

Yes

Step-by-step explanation:

Answer:

no

Step-by-step explanation: it crosses the x axis two times

Answer:

A

Step-by-step explanation:

Answer:

-1.5,0, 0,3 and -4,-5

Step-by-step explanation:

Answer:

$86.40

80 + 8%= 86.40

Answer:

$86.40..

Step-by-step explanation:

80 + 8%= 86.40

Answer:

x<-3

Step-by-step explanation:

Let's do this step by step:

1) isolate 4x : 4x<-6-6

2) so then we get : 4x<-12

3) isolate x :  x< -12/4

WHICH GETS YOU TO: x<-3

Answer:

4x + 6 < -6 = x < −3

The value of x = -2 or greater

Answer:

No

Step-by-step explanation:

It would work for the bottom equation, but plugging in to the top equation would equal -4>3, which is false.

Answer:

no

when the point is plugged into the first inequality, it does not work therefore it is not a solution

Answer:

64

Step-by-step explanation:

it's 64

Answer:

x ≈ 44.69

Step-by-step explanation:

x² = 30² +21² -2(30)(21)Cos123°

x² = 900 + 411 - 1260cos123°

x² = 1311 - 1260cos123²

~Take square root of both sides

x = √1997.245184111

x ≈ 44.69

Best of Luck!

Answer:

21

Step-by-step explanation:

[tex]\frac{7}{5}[/tex] = [tex]\frac{x}{15}[/tex]

x = 21 chocolate chip cookies.

There are 21 chocolate chip cookies do you bake.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.

Given that;

The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5.

And,  You bake 15 oatmeal cookies.

Now,

Since, The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5.

Hence, The amount of chocolate chips = 7x

And, The amount of oatmeal cookies = 5x

Here, You bake 15 oatmeal cookies.

Hence, We get;

The amount of oatmeal cookies = 5x = 15

So, we get;

⇒ 5x = 15

⇒ x = 3

So, The amount of chocolate chips = 7x

                                                      = 7 × 3

                                                      = 21

Thus, There are 21 chocolate chip cookies do you bake.

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ2

Answer:

[tex]p\leq 56[/tex]

Step-by-step explanation:

Plz mark brainliest!

Answer:

$1729

Step-by-step explanation:

[tex]\frac{100-9}{100} * 1900[/tex]

Answer:

1729

Step-by-step explanation:

1900 divided by 100 is 19

1% equals 19

1 times 9 equals 9

19 times 9 equals 171

171 = 9%

171 - 1900 = 1729

price after a 9% discount is 1729

9514 1404 393

Answer:

  3x +2y = -38

Step-by-step explanation:

When a point and the slope are given for a line, the point-slope form of the equation is useful.

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = -3/2(x -(-10))

  y + 4 = -3/2x -15

Multiplying by 2 gives ...

  2y +8 = -3x -30

Adding 3x-8, we get ...

  3x +2y = -38

Answer:

3x + 2y = -38

Just plug in the x and y values to get the answer!

We already know that when x is -10 y = -4 so all we have to do is substitute them.

y = mx + b

-4 = -3/2(-10) + b

-4 = 30/2 + b

-4 = 15 + b

-19 = b

Answer:

To find the slope you do rise/run and the slope for 4 is 6/5 the slope for 5 is ZERO slope or 0/5 I know because it goes 0 times up and 5 times to the right.  And for 6 is UNDEFINED slope or 6/0 because it goes 6 times up and 0 time to the sides

Step-by-step explanation:

Answer:

4. 6/5 5.zero 6. undefined

Step-by-step explanation:

so you do y1-y2/x1-x2

4-(-2)/2-(-3)

6/5

5. because it doesn't go up or down

6. because the x doesn't change

Answer:

48

Step-by-step explanation:

800/100=8.

6/100 said yes. so 6*8 which is 48.

Hope this helps plz hit the crown :D