The yearbook staff receive 75 submissions for yearbook articles. Paul will accept 2/5
of all submissions. Currently, Paul plans for the yearbook to have 156 pages.
How many more pages will Paul need to add to the yearbook to have 2 articles on every 13 pages? Show your work and explain your thinking.

Answer:

60% decrease in area

Step-by-step explanation:

12 x5 == 60 sq feet (original area)

9 x 4 == 36 sq feet (new area)

36/60 = 6/10 = 60%

Answer:

D.  The average time spent is 11 average.

Step-by-step explanation:

The mean is the average.  The average time spent is 11 average.

Answer:

-1 * (x/y)

Step-by-step explanation:

-x/y = x /-y

Factor out the negative

-(x/y) = -(x/y)

This is equal to -1 * (x/y)

Answer:

I have not solved

Step-by-step explanation:

I am human being sonI didn't answer

Mark me as brainliest

Answer:

sorry no answer

I apologize

Answer:

32

Step-by-step explanati

everyone knows that

Answer:

[tex]16[/tex]

Step-by-step explanation:

The discriminant of a quadratic in standard form [tex]ax^2+bx+c[/tex] is given by [tex]b^2-4ac[/tex].

The quadratic [tex]-3=-x^2+2x[/tex] in standard form is [tex]-x^2+2x+3[/tex]. Thus, we can assign the following values:

Therefore, the discriminant of this quadratic is [tex]2^2-4(-1)(3)=4+12=\boxed{16}[/tex]

Answer: 88% increase

Answer:

No

Step-by-step explanation:

Given 3 angles, the shape is a triangle.

The sum of all angles in a triangle = 180°

60° + 62° + 60° = 182°

Since it doesn't equal to 180°, it can't form a polygon

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

21

Step-by-step explanation:

Range is the largest value minus the smallest value

25 is the largest value

4 is the smallest value

25-4 =21

Answer:

b. 21

Step-by-step explanation:

biggest number - smallest number

25 - 4 = 21

Answer:

0

Step-by-step explanation:

Plug p and q in

1+-1/2

0/2

0

If this helps please mark as brainliest

Answer:

see below

Step-by-step explanation:

p+q/2

If

p  + q/2

1 + -1/2

1/2

If (p+q)/2

 (1-1)/2

0

Answer:

d. Keisha did not make a mistake

Step-by-step explanation:

3+(-4)-7

3+(-4)+(-7) adding negatives is the same as subtracting

3+(-11) -4 and -7 do make -11

-8 3 and -11 do make -8

So she did it correctly, which means d is the right answer.

:) ur welcome

Answer:

[tex] \rm \displaystyle \theta = \{ {150}^{ \circ} , {240}^{ \circ} \}[/tex]

Step-by-step explanation:

we would like to solve the following equation:

[tex] \displaystyle 2 \sin( \theta) \tan( \theta) = - 3[/tex]

to do so we need to put the equation in term of a function of a angle therefore rewrite tanθ:

[tex] \displaystyle 2 \sin( \theta) \cdot \frac{ \sin( \theta) }{ \cos( \theta) } = - 3[/tex]

simplify multiplication:

[tex] \displaystyle \frac{ 2\sin^{2} ( \theta) }{ \cos( \theta) } = - 3[/tex]

cross multiplication:

[tex] \displaystyle 2\sin^{2} ( \theta) = - 3 \cos( \theta) [/tex]

isolate -3cosθ to left hand side and change its sign:

[tex] \displaystyle 2\sin^{2} ( \theta) + 3 \cos( \theta) = 0[/tex]

well we can rewrite sin²θ by applying Pythagorean theorem and that yields:

[tex] \rm \displaystyle 2(1 - \cos^{2} ( \theta)) + 3 \cos( \theta) = 0[/tex]

distribute:

[tex] \rm \displaystyle 2 - 2\cos^{2} ( \theta) + 3 \cos( \theta) = 0[/tex]

now notice that our equation ended up with a pattern and that is Quadratic thus by letting cosθ be x to transform the equation:

[tex] \rm \displaystyle 2 - 2 {x}^{2} + 3 x = 0[/tex]

rearrange it to standard form:

[tex] \rm \displaystyle - 2 {x}^{2} + 3 x + 2 = 0[/tex]

divide both sides by -1:

[tex] \rm \displaystyle 2 {x}^{2} - 3 x - 2 = 0[/tex]

well we can factor the quadratic to do so rewrite -3x as -4x+x:

[tex] \rm \displaystyle 2 {x}^{2} - 4 x + x - 2 = 0[/tex]

factor out 2x:

[tex] \rm \displaystyle 2x ({x}^{} - 2)+ x - 2 = 0[/tex]

factor out 1:

[tex] \rm \displaystyle 2x ({x}^{} - 2)+ 1(x - 2 ) = 0[/tex]

group:

[tex] \rm \displaystyle (2x + 1)(x - 2 ) = 0[/tex]

by Zero Product property we obtain:

[tex] \rm \displaystyle \begin{cases} 2x + 1 = 0\\ x - 2 = 0 \end{cases}[/tex]

cancel 1 from the first equation and add 2 to the e equation:

[tex] \rm \displaystyle \begin{cases} 2x = - 1\\ x = 2\end{cases}[/tex]

substitute back:

[tex] \rm \displaystyle \begin{cases} 2 \cos( \theta) = - 1\\ \cos( \theta) = 2\end{cases}[/tex]

since cosθ is only defined for the interval [1,-1] the second equation is false for any value of θ but we can still continue the first equation

[tex] \rm \displaystyle \begin{cases} 2 \cos( \theta) = - 1\\ \cos( \theta) \neq 2\end{cases}[/tex]

divide both sides by 2:

[tex] \rm \displaystyle \cos( \theta) = \frac{ - 1} {2}[/tex]

by unit circle we acquire:

[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} \\ \theta = {240}^{ \circ} \end{cases}[/tex]

add period of 2nπ:

[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} + 2n\pi\\ \theta = {240}^{ \circ} + 2n\pi \end{cases}[/tex]

for the interval [0,2π) θ is only defined when n is 0 Thus:

[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} + 2(0)\pi\\ \theta = {240}^{ \circ} + 2(0)\pi \end{cases}[/tex]

simplify:

[tex] \begin{cases} \rm \displaystyle \theta = {150}^{ \circ} \\ \theta = {240}^{ \circ} \end{cases}[/tex]

hence,

θ is equal to 150° and 240°

Answer:

x =12

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(4+x) * 4 = 8^2

Distribute

16+4x = 64

Subtract 16 from each side

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12

Answer: 12

Step-by-step explanation: 8*8 = 4(4+x), which is equal to 64 = 16 + 4x, subtract 16 from both sides, 48 = 4x, divide both sides by 4 to isolate x, 12 = x

Answer:

0.00042

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: Median!

Step-by-step explanation: If it's easier you can just use this website so your math will be easier: https://www.calculatorsoup.com/calculators/statistics/mean-median-mode.php

Answer:

Firstly arrange the numbers in order then cancel from the beginning numbers to end numbers then middle one is the answer

Answer:

Step-by-step explanation:

volume of cylinder=πr^2h

=3.14*4=2^2*6

=4=3.14*4*6

=3.14*24

=75.36

=75.4 inches ^3

=

Answer:

-1

Step-by-step explanation:

To find the slope given two points

m = ( y2-y1)/(x2-x1)

    = ( 8 - 2)/( -3 -3)

    = 6 / -6

    = -1

c. 734.76 cm3 espero que te sirva :)

Answer:

(x - 9)(x + 2)

Step-by-step explanation:

x² - 7x - 18

x² + 2x - 9x - 18

x(x + 2) - 9(x + 2)

(x - 9)(x + 2)

Answer:

Step-by-step explanation:

(1;3) ∈ g(x) ⇒ Only D is

Answer:

Step-by-step explanation:

Answer:

24 sq. in

Step-by-step explanation:

To find the area of a triangle, you multiply both sides by one another, then divide the product in half.

In this case it would go along the lines of:

6 x 8 = 48

48/2 = 24

And 24 is the desired answer.

Answer:

Step-by-step explanation:

plot 3 unit right from the origin and then 2 units up.

Answer:

i will say the first one cannot, the second one cannot and the third one can

Step-by-step explanation:

but i am not 100% sure sry

Is there any more info on this?

Step-by-step explanation:

.

Step-by-step explanation:

which which equation you want me to use it to x + y is equal to 7 or 1 x - 2 xis equal to 1