What is the solution to the equation -5p = 24-p?
Op= -6
O p= - 27
Op
O p= 4
O p=
24
25

Answer:

a=1

Step-by-step explanation:

-20=-8(a+4)-5(1-5a)

Distribute

-20 = -8a -32 -5 +25a

Combine like terms

-20 =17a -37

Add 37 to each side

-20+37 = 17a-37+37

17 = 17a

Divide by 17

17/17 = 17a/17

1= a

two real solutions

b2-4ac>0

one real solutions and one imaginary solution

b2-4ac=0

no real solution

b2-4ac<0

a=7

b=3

c=8

(3)^2-4(7)(8)=-215 no real solution

Answer:

x = 9

Step-by-step explanation:

Corresponding sides are in proportion, that is

[tex]\frac{x}{24}[/tex] = [tex]\frac{3}{8}[/tex] ( cross- multiply )

8x = 72 ( divide both sides by 8 )

x = 9

Answer:

x=9

Angles = 50

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

4x+14 = 6x-4

Subtract 4x from each side

4x+14-4x = 6x-4-4x

14 = 2x-4

Add 4 to each side

14+4 = 2x-4+4

18 =2x

Divide by 2

18/2 =2x/2

9 =x

The angles are equal

4x+14 = 6x-4 = 4(9)+14 = 36+14 = 50

Answer:

1 ≥ n

Step-by-step explanation:

30 ≥ 5(6n)

Distribute

30 ≥ 30n

Divide each side by 30

30/30 ≥ 30n/30

1 ≥ n  

30 >= 5(6n)

Divide both sides. Y 5:

6 >= 6n

Divide both sides by 6:

1 >= n

Rewrite as: n ≤ 1

The answer is -15.

Because others are rational numbers but not integers.

-15 is the only rational number and integer.

Answer:

sen α  =  - 4/5

cos α  =  - 3/5

Step-by-step explanation:

tang α  = 4/3

De la relación fundamental de la trigonometría sabemos:

sen² α   +  cos²α  = 1

Dividiendo la ecuación anterior por cos² α

sen²α/cos²α   +  cos²α / cos²α   =  1 / cos² α

tang²α  +  1   = 1/ cos² α

(4/3)²  +  1  =  1/ cos² α    ⇒    16/9   +  1  = 1/ cos² α

1/ cos² α    =  ( 16  +  9  ) / 9

1/ cos² α    =   25/9

cos² α   = 9/25

cos α    =  3/5

y para calcular el sen α  

sen² α   =  1  - cos²α

sen² α   =  1  - 9/25

sen² α   =  ( 25  -  9 )/ 25

sen² α   =  16/25

sen α  = 4 / 5

Ahora bien el angulo α  está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.

Respuesta:

sen α  =  - 4/5

cos α  =  - 3/5

Answer:

the first thing that you need to know you need to know you invoice and then you will know how to calculate your equation

Answer:

The probability that I will choose a consonant is 62.50%.

Step-by-step explanation:

Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:

Vowels: 3

Consonants: 5

5/8 = X

0.625 = X

0.625 x 100 = 62.50

Therefore, the probability that I will choose a consonant is 62.50%.

Answer:

Step-by-step explanation:

y = (x + 5)(x - 5)

  = x² - 5²

 = x² - 25

Degree of this polynomial is 2.

Highest power of the variable x will be the degree of the polynomial.

1/√2

Step-by-step explanation:

Imagine a right-angled triangle, for e.g. Triangle ABC,

Where

B = 90°

Remember your Toa Cah Soh.

sin 45° = opposite / hypotenuse

If theta = 45°

Angles A and C = 45° (Sum of angles in a triangle equal = 180°)

Since theta are the same, we can also deduce that the length AB and BC are the same.

Take for example AB = BC = 1 = opposite

By the Pythagorean theorem,

AB² + BC² = AC²

1² + 1² = AC²

2 = AC²

AC = √2 = hypotenuse

Therefore:

sin 45° = opposite / hypotenuse

sin 45° = 1/√2

Answer:

5.50 Each

Step-by-step explanation:

Answer:

Step-by-step explanation:

3P + 4N = 28

6P+ 8N = 56

4P +8N  52

2P     = 4

P = 4/2 = 2  = $2

3(2)+4N = 28

4N = 28-6=22

N = 22/4 = 5.5= $5.50= cost of one notebook

Answer:

103.2 km

Step-by-step explanation:

Hi there!

1) Draw a diagram

Please see the picture below.

2) Solve for the length of the diagonal

Because Jacob's path creates a right triangle, we can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where c is the side opposite the right angle and a and b are the other sides

Plug in the known information

[tex]64^2+81^2=c^2\\64^2+81^2=c^2\\10657=c^2[/tex]

Take the square root of both sides to isolate c

[tex]10657=c^2\\103.2=c[/tex]

I hope this helps!

Answer:

the circumference is 37.7 cm

Answer:

circumference = 37.7

Step-by-step explanation:

in the photo I explained the formula of how to find the circumference

Answer:

Step-by-step explanation:

Answer:

x = 12.26

Step-by-step explanation:

sin  = opp/hyp

sin 50 = x/16

multiply both sides by 16

16 * sin50 = x

Use calculator

x = 12.256711089903649

Rounded

x = 12.26

The answer is:

12.26

you multiply both sides

Answer:

100

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

5+x  +75 = 180

Combine like terms

x+80 = 180

Subtract 80 from each side

x +80-80=180-80

x = 100

Answer:

x=100°

Step-by-step explanation:

(5+x)°+75°=180°(being a straight line)

x=100°

Answer:

33.48

Step-by-step explanation:

Find the diagram attached

Opposite  = 32

Hypotnuse = 58

Sin theta = opposite/hypotenuse

Sin theta = 32/58

Sin theta = 0.5517

theta = arcsin(0.5517)

theta = 33.48

Hence the value of x to the nearest tenth is 33.48

Given:

Lena rolled two number cubes and recorded the results.

To find:

The experimental probability that the sum of the next two numbers rolled is greater than 5.

Solution:

If two number cubes rolled, then the total possible outcomes are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (21,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Total number of possible outcomes = 36

The possible cases in which the sum is less than or equal to 5 are (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1).

In 10 cases the sum is less than or equal to 5. So, the number of cases in which the sum is greater than 5 is:

[tex]36-10=26[/tex]

So, the number of favorable outcomes = 26.

Now, the experimental probability that the sum of the next two numbers rolled is greater than 5 is:

[tex]P=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P=\dfrac{26}{36}[/tex]

[tex]P=\dfrac{13}{18}[/tex]

Therefore, the required probability is [tex]\dfrac{13}{18}[/tex].

9514 1404 393

Answer:

  a  (3,-1)

Step-by-step explanation:

The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...

  f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1

  f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form

Comparing this to the generic vertex form ...

  f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)

we see that h=3 and k=-1.

The vertex is (h, k) = (3, -1).

Answer:

x+6 and x+7

Step-by-step explanation:

Given the quadratic equation;

x^2 + 13x + 42

Factorize

x^2+13x+42 = 0

x^2 + 7x + 6x + 42 = 0

x(x+7)+6(x+7) = 0

(x+6)(x+7) =0

Hence the required binomials are x+6 and x+7

Answer:

0,1

Hope it helps!

if your talking about edge

slope: -½

y-intercept: 1

Step-by-step explanation:

B

Answer:

1,138 steps

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Steps counted to school = 1,138

So, we can calculate the steps he take walking to school by using following formula,

Steps take walking to school = Steps he counted to school

So, Steps take walking to school = 1,138 steps

Hence, Esteban take 1,138 steps while walking to school.

Answer:

you torched a kid today

Step-by-step explanation:

i hope you are happy:(

Step-by-step explanation:

write what you know

P = 1,000

n = 5 years

Plan 1

i = 0.04 / 2 months = (0.04 / 2 months) x (12 months / year) = 24%

write and solve

future value = p(1+i)^n = 1000(1+0.24)^5

plan 2

i = 0.10 / 6 months = (0.10 / 6 months) x (12 months / year) = 20%

write and solve

future value = p(1+i)^n = 1000(1+0.20)^5