A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the original price of the backpack?

Answer:

-120/169

Step-by-step explanation:

Sin2theta = 2sintheta costheta

Given that tan theta = -12/5

Opposite = -12

Adjacent = 5

Using Pythagoras theorem

Hyp = √(-12)²+5²

Hyp = √144+25

Hyp = √169

Hyp = 13

Cos theta = adj/hyp

Cos theta = 5/13

Sin theta = opp/hyp

Sin theta = -12/13

Substitute

Sin2theta = 2(-12/13)(5/13)

Sin2theta = -120/169

Hence sin 2theta = -120/169

Answer:

Yes, the sides are in the ration 2:5!

Step-by-step explanation:

Hope this helps.

Answer:

  The correct answer is B. Yes, the sides are in the ratio 2:5.

Step-by-step explanation:

Hope this helps, and have a wonderful day! :)

⅘×25=20

of means times.

Answer:

C.  [tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]

Step-by-step explanation:

Answer:

One Solution

Step-by-step explanation:

Trust me

Answer:

x=(-40)

Step-by-step explanation:

x+29= (-11)

x+29=(-11)

  -29=-29

x=(-40)

Answer:

x=-11+29

x=18

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of  every given point we get the squares of x-coordinate:

(1, 0):   1² - 1 = 0

(2, 3):   2² - 1 = 4 - 1 = 3

(3, 8):   3² - 1 = 9 - 1 = 8

(4, 15):   4² - 1 = 16 - 1 = 15

So for any x:

(x, y)   y = x² - 1

Answer:

A. 2

B.1

C.3

D. (should be x and 7x but that isnt an answer choice so) no

Step-by-step explanation:

For given expression x + 3 + 7x,

a) the number of terms in an algebraic expression = 2

b) the numerical coefficient of the first term = 1

c) the constant term = 3

d) the like terms are x and 7x

"It is a mathematical expression that consists of variables, numbers and operations."

"It is a value or number that never changes in expression."

"The like terms are defined as the terms that contain the same variable which is raised to the same power."

For given example,

We have been given an expression  x + 3 + 7x

a) x + 3 + 7x = 3 + (1 + 7)x

                    = 3 + 8x

So, the number of terms in the algebraic expression = 2

b) for given expression x + 3 + 7x,

the first term is x

x = (1) × (x)

the numerical coefficient of the first term is 1.

c) for given expression x + 3 + 7x,

the constant term = 3

d) for given expression x + 3 + 7x,

the like terms are x and 7x

Learn more about expression here:

https://brainly.com/question/13947055

#SPJ2

Answer:

r = 4

Step-by-step explanation:

side of square is the same as the diameter of the circle

if diameter is 8 then radius is 4

Answer:

1

Step-by-step explanation:

d=-4 , f = 3

so, [8-(-4)]/4 × 3

= (8+4)/12

= 12/12

=1

Hope it helps

Answer:

1 is the answer

Step-by-step explanation:

8-(-4) / 4(3) = 1

Answer:

enerji dengesi korunur. Dayanıklılık ve performans yüksektir.Sporda oluşan kas ağrıları minimizedir ve doğru beslenme ile egzersizde yaşanılan kas yıkımı

telafi edilebilir

Answer:

When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:

(K*a, K*b)

In this case, we can find the original coordinates of the endpoints of the original segment.

Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.

The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).

The first endpoint is (6, 9) and (12, 12)

Now we apply a dilation with a scale factor K = 2/3.

then we get the points:

((2/3)*6, (2/3)*9) = (4, 6)

and the other point is:

((2/3)*12, (2/3)*12) = (8, 8)

Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)

The segment can be seen in the graph below.

Answer:

0.40m/s^2

Step-by-step explanation:

Given data

Mass= 133.5kg

Force F= 54.5N

The expression for the force acting is

F=ma

substitute

54.5=133.5*a

]Divide both sides by 133.5

a= 54.5/133.5

a= 0.40 m/s^2

Hence the acceleration is 0.40m/s^2

Answer:

Tenemos 3 formas de escribir cada intervalo, una es con solo texto, la otra es usando los símbolos { <, >, ≤, ≥ }, y la última es con intervalos, donde:

( se usa para " < x "

) se usa para " > x "

[ se usa para  " ≤ x "

] se usa para   " ≥ x "

a) -2 ≤ x ≤3

Esto se escribe como:

"números mayores o iguales que -2 y menores o iguales que 3"

y

[-2, 3]

b) Números mayores que –1

Las otras formas de escribir esto son:

-1 < x

y no tenemos limite mayor, entonces:

(-1, ∞)

con -∞ y ∞ siempre se usan los símbolos ( o )  

c) (–[infinity], –5]  

Las otras notaciones son:

"Un numero menor o igual que -5"

x ≤ -5

d)  Números mayores o iguales que –7 y menores que 19

Las otras notaciones son:

-7 ≤ x < 19

[-7, 19)

e) Números mayores que 9 y menores que 5.

Las otras formas de escribir esto son:

5 < x < 9

(5, 9)

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

[tex]A = B[/tex]

Step-by-step explanation:

See comment for complete question

Given

[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]

[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

[tex]A: (4x^2 - 4x)(x^2 - 4)[/tex]

Factor out 4x

[tex]A: 4x(x - 1)(x^2 - 4)[/tex]

Apply difference of two squares on x^2 - 4

[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex]

For, Polynomial B: We have:

[tex]B: (x^2 + x - 2)(4x^2 - 8x)[/tex]

Expand x^2 + x - 2

[tex]B:(x^2 + 2x - x - 2)(4x^2- 8x)[/tex]

Factorize:

[tex]B:(x(x + 2) -1(x + 2))(4x^2- 8x)[/tex]

Factor out x + 2

[tex]B:(x -1) (x + 2)(4x^2- 8x)[/tex]

Factor out 4x

[tex]B:(x -1) (x + 2)4x(x- 2)[/tex]

Rearrange

[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]

The simplified expressions are:

[tex]A: 4x(x - 1)(x - 2)(x+2)[/tex] and  

[tex]B: 4x(x - 1)(x - 2)(x+2)[/tex]

Hence, both polynomials are equal

[tex]A = B[/tex]

Answer:

option A

Step-by-step explanation:

option A y = 9√3 is the correct answer .

In∆ PQR

cos 30 = y /18

√3/2 = y / 18

y = 9√ 3

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Answer:

Option a.) an = -4(-3)^(n-1)

Answer:

pls mark brainlest Even though it landed on heads 8/10 times, ther's still a 50% chance that it will land on tails.

Answer:

0.019404

Step-by-step explanation:

0.75/38.652 is 0.019404.

Answer:

Divide  0.75  by  38.652  =

0.01940391

and

Divide  38.652  by  0.75 =

51.536

Step-by-step explanation:

Answer:

Mean- 14.5

Median- 15.5

Interquartile Range- 7.5

Step-by-step explanation:

The mean is a type of average. It is the sum (total) of all the values in a set of data.

The median is the middle number in a sorted, ascending or descending, list of numbers.

The interquartile range describes the middle 50% of values when ordered from lowest to highest.

Answer:

Tried my best..... Hope it helps! :)

Answer:

1/6 of the cereal box

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

Substitute the given to its corresponding places.

30 = [tex]\frac{1(10)h}{2}[/tex]

30 = 10h/2

Multiply both sides by two to remove the denominator.

2 [30 = 10h/2] 2

60 = 10h

Divide both sides by 10 to isolate h.

h = 6

To check, substitute everything to the original equation:

A = [tex]\frac{1(10)(6)}{2}[/tex]

A = 30 !

Answer:

Your answers are correct; decreases by 31.50

Step-by-step explanation:

Answer:

El lado de cada mosaico tiene una longitud de 30 cm.

Step-by-step explanation:

El area de un mosaico cuadrado es:

[tex]A=l^{2}[/tex]

Donde l es el lado del mosaico.

Entonces, si sabes que el area es 900 cm², el lado valdra:

[tex]900=l^{2}[/tex]

[tex]l=\sqrt{900}[/tex]

[tex]l=30\: cm[/tex]

Por lo tanto el lado de cada mosaico tiene una longitud de 30 cm.

Espero te haya servido!

Answer:

25×2,06 5,2×7,6

4,002×35 45,07×5,1

103×2,12 3,02×0,25

12,5×11 7,52×6,002

Step-by-step explanation:

;lfk;dlj

Answer: He split it into unequal halves which would make his way wrong. the correct way to do it would be to cut it so all the lines met in the middle of the pie

Step-by-step explanation:

Answer:

area = 472 in^2

Step-by-step explanation:

19 x 8 x 3 = 456 in^2 for large rectangle

1/2 x 2 x 8 x 2 = 16 in^2 for triangles

area = 456 + 16 = 472 in^2