2) The marked price of a laptop is Sh.47500. Mimo bought the laptop after the shopkeeper allowed her a
discount of 5°. If the shopkeeper made a profit of 25%, calculate the price at which the shopkeeper
bought the laptop from the manufacturer.
(3 marks)​

Answer: Su salario regular por hora es $12

Step-by-step explanation:

Hola, para resolver este problema debemos plantear una ecuación:

A el hombre le pagan doble el tiempo que trabaja por encima de las 40 horas, el trabajo 47, o lo que es equivalente = 40+7.

Las primeras 40 horas recibió su salario regular por hora (x) y las otras 7 recibió el doble (2x). LA suma de esos productos da un total de $648.

Matemáticamente hablando:

40 x+ 7 (2x) = 648

Resolviendo para x (salario regular por hora)

40x +14x =648

54x =648

x = 648/54

x = 12

Answer :

Given that the base of the triangle is x m, the height is 3m less than twice it's base then the height will be represented by the equation:

(2x-3) m

Thus the area will be:

Area=1/2bh

Area=1/2x(2x-3)=17.5

x^2-1.5x=17.5

Writing the above equation is quadratic form of ax^2+bx+c=0 we get:

x^2-1.5x-17.5=0

Answer:

Starting with the smallest, we will have; D , C, A, B

Step-by-step explanation:

Given;

A = 3/4

B  = 5/6

C = 16/25

D = 9/15

Convert the fractions to decimal, to determine their sizes;

A = 3/4 = 0.75

B  = 5/6 = 0.833

C = 16/25 = 0.64

D = 9/15 = 0.6

From the decimal form of the fractions, it be observed that,

B > A > C > D

Starting with the smallest, we will have; D , C, A, B

Answer:

y = 40.5 cm

Step-by-step explanation:

The total area of the shape is 792 cm²

let's find the area of the four parallelograms

To do that we should calculate the area of the rhombus inside and then substract it from the total area

The area of a rhombus is given by the formula:

Let A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms

Let a be the area of the single parallelogram

the area of a parallelogram is fiven by the formula :

let's find y

Answer:

Benoit Mandelbrot

Step-by-step explanation:

I googled it.

Answer:

B MANDLEBROT

Step-by-step explanation:

Who coined the term “fractal”?

a.

Sierpinski

c.

Sapoval

b.

Mandlebrot

d.

Amalgamated Research

Answer:

[tex]\huge\boxed{SA=2466\ (mm^2)}[/tex]

Step-by-step explanation:

The formula of a Surface Area of a rectangular prisms:

[tex]SA=2(lw+lh+wh)[/tex]

l - length

w - width

h - height

We have:

[tex]l=39mm;\ w=12mm;\ h=15mm[/tex]

Substitute:

[tex]SA=2\bigg((39)(12)+(39)(15)+(12)(15)\bigg)\\\\SA=2(468+585+180)\\\\SA=2(1233)\\\\SA=2466\ (mm^2)[/tex]

Answer:

A is wrong

B is correct

C is correct

D is wrong

E is wrong

F is correct

Step-by-step explanation:

Here, we want to select the correct options about the sine function.

A. is wrong

Let’s use a case of 30 degrees angle

Sin(-30) = -0.5

Sin(30) = 0.5

B is correct

sin(-30) = -0.5

-sin(30) = -0.5

C. C is correct

Sine function is an odd function.

By mathematical definition, we say a function is odd if for any value x of the function; f(-x) = -f(x)

This is obtainable and clear about the sine function from earlier options

D. Is wrong

E. is wrong

F. is correct

The period of the sine function is 2 pi

The period of a function is the time distance between two peaks or crests

Answer:

45°

Step-by-step explanation:

To find you answer, we take the inverse sin(√2/2). When you plug that into your calc, you get 45°.

Alternatively, if you learned and remembered your unit circle, inverse sin(√2/2) would be π/4.

Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]

Step-by-step explanation:

Any negative exponent can be moved to the other side of the fraction as a positive exponent.

Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4.  Then, use the exponent rule to get 5a^2/-10a^4b^9

Hope it helps <3

Answer:

The equation of the line is

y = 2x + 2

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the gradient

c is the y intercept

From the question m is 2

Equation of the line using point (1,4) is

y - 4 = 2( x - 1)

y - 4 = 2x - 2

y = 2x - 2 + 4

y = 2x + 2

Hope this helps you

Answer:

C

Step-by-step explanation:

Equation A

16x - 7 = 11x - 32

(16x - 7) - 11x = (11x - 32) -11x

5x - 7 = -32

(5x - 7) + 7 = (-32) + 7

5x = -25

(5x)/5 = (-25)/5

x = -5

Equation B

-4x - 10 = 2x + 20

(-4x - 10) - 2x = (2x + 20) - 2x

-6x - 10 = 20

(-6x - 10) + 10 = (20) + 10

-6x = 30

(-6x)/-6 = (30)/-6

x = -5

Both Equation A and Equation B have a solution of -5.

Answer:

False

Step-by-step explanation:

A ball is a three dimensional object and it is spherical in shape.

Answer:

A ball is spherical

it's shaped like a sphere

Answer:

Perimeter of big rectangle = 38 units

Step-by-step explanation:

Let the sides of rectangle (1) = a and c cm

Sides of rectangle (2) = b and c cm

Sides of rectangle (3) = b and d cm

Sides of rectangle (4) = a and d cm

Perimeter of (1) = 2(length + width)

2(a + c) = 10

a + c = 5 ---------(1)

Perimeter of (2) = 2(b + c)

2(b + c) = 20

b + c = 10 -------(2)

Perimeter of (3) =2(b + d)

2(b + d) = 28

b + d = 14 --------(3)

Perimeter of (4) = 2(a + d)

2(a + d) = 18                      

a + d = 9 -------(4)

Since perimeter of the big rectangle = 2(a + b + c + d)

By adding equations (1) + (2) + (3) + (4),

(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9

2(a + b + c + d) = 38

Therefore, perimeter of the rectangle ABCD = 38 units

Answer:

180 grams

Step-by-step explanation:

2 people = 5 ounces

6 people= 5*3= 15 ounces

1 ounce= 28 grams

15 ounces= 15*28 grams= 420 grams

There is 240 grams already on the weight, so

420- 240= 180 grams more of diced onions are required

Answer:

x = 23

Step-by-step explanation:

CU + UB = CB

Since U is the midpoint that means CU = UB = 18

18+ 18 = 2x-10

36 = 2x-10

Add 10 to each side

36+10 = 2x

46 =2x

Divide by 2

23 = x

Answer:

Step-by-step explanation:

CB/2 = CU

CB = (2)CU

2x - 10 = (2)18

2x - 10 = 36

Add 10 on both sides.

2x = 46

Divide both sides by 2.

x = 23

Answer:

y = -3/4

Step-by-step explanation:

1. Simplify all terms - 8y + 6 = ?

2. Set to two sides - 8y = -6

3. Solve - y = -6/8 = -3/4

Hope this helps:)

Answer:

43.3 m

Step-by-step explanation:

you can use Tangent and calculator or table to find it.

tan ∅ = opp/adj

tan 61° = r/24

1.804 = r/24

r = 1.084 * 24 = 43.297 m

r = 43.3 m

Answer:

[tex]P = \frac{5}{282} = 0.0177[/tex]

Step-by-step explanation:

First we need to find the total amount of apples in the crate:

Total = 10 + 14 + 4 + 18 = 46 apples

The probability of the first apple being a golden delicious apple is the number of those apples over the total number of apples:

[tex]P(golden) = \frac{N(golden)}{N(total)}[/tex]

[tex]P(golden) = \frac{4}{48} = \frac{1}{12}[/tex]

Then, the probability of the second apple being a granny Smith apple is the number of those apples over the total number of apples, but now the total number of apples is one less, because one apple was removed from the crate:

[tex]P(granny) = \frac{N(granny)}{N(total)-1}[/tex]

[tex]P(granny) = \frac{10}{47}[/tex]

The final probability we want is the product of those two probabilities:

[tex]P = P(golden) * P(granny) = \frac{1}{12} \frac{10}{47} = \frac{10}{564} = \frac{5}{282}= 0.0177[/tex]

Answer:

Step-by-step explanation:

Total no of beads = 2 + 1 + 3 = 6

No of red beads = 2

p ( red ) = 2/6 = 1/3

No of non - yellow beads = 5

p ( yellow ) = 5/6

Hope this helps

plz mark as brainliest!!!!!!!!

Answer:

Step-by-step explanation:

There are total 6 beads in all.

2) Since there are 5 non-yellow beads, the probability that the bead is not yellow will be 5/6

Since there are 2 red beads, the probability that the bead is red will be 2/6 = 1/3

Answer:

The speed of a car.

Step-by-step explanation:

All the other answers are discrete.

Answer:

second one

Step-by-step explanation:

The speed of a car is a data that changes over time and it is a countinuous data

While other examples are only discrete data since they contain quantities

Answer:

No Like terms

Step-by-step explanation:

x^3-y^3= No like terms (its simplified)

x^6-y^6= No like terms  (its simplified)

x^4+ x^2y^2+y^4​ = No like terms  (its simplified)

Hope this helps! Have a nice day :)

Answer:

x^2+xy+y^2

Step-by-step explanation:

HCF is x^2+xy+y^2 as it is the factor of all three polynomials

Answer:

Step-by-step explanation:

hello,

pls find below the graph

we need to find the point of intersection between both lines

which is (4,3)

hope this helps

The solution for the given system of linear equations is (4, 3).

Given that, here is a graph of y=7-x for values x from 0 to 7.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

The given system of linear equations

y=7-x -------(I) and y=x-1 -------(II)

From equation (I) and (II),

7-x=x-1

⇒ 2x=8

⇒ x=4

So, y=7-x=3

Thus, (x, y)=(4, 3)

Therefore, the solution for the given system of linear equations is (4, 3).

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ5

Answer:

[tex] \frac{80}{100} = \frac{4}{5} [/tex]

Answer: 10:19

Step-by-step explanation:

Time she plays on computer = 10 minutes

Time she plays outside = 19

Ratio will be 10:19

Answer:

t = 2,22 h

Step-by-step explanation:

At the beginning with the first processor, we download in 5 hours the whole movie, then in 1 hour, that processor downloads 1/5 of the movie.

If with the two processors we download the movie in 4 hours in 1 hour we download 1/4 of the movie.

In 1 hour with the two processors,  we get    1/4,  and in 1 hour with the old processor we get 1/5  

Then in 1-hour the old processor  plus contribution of the new one will download 1/4 of the movie or

 1/5  +  x   = 1/4

x  = 1/4 - 1/5

x(h) =  5 + 4 /20        x = 9/20    or   0,45 of the movie in  1 hour

Working along the new processor will do 0,45 ( 9/20) in 1 hour, to finish the whole movie it will need to download 11/20

If   in 1 hour download    9/20

            x                          11/20

x(r)   = (11/20) / (9/20)    = 11/9     x(r) =  1,22 (h)

Then total time for the new processor to download the movie is:

t = 1,22 + 1

t = 2,22 h

Answer:

x = [tex]5\sqrt{2}[/tex].

Step-by-step explanation:

The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.

Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).

Since the hypotenuse is 10, and the side length is x, we can make a proportion.

[tex]\frac{10}{\sqrt{2}} =\frac{x}{1}[/tex]

[tex]x\sqrt{2}[/tex] = 10

x = [tex]\frac{10}{\sqrt{2} }[/tex]

x = [tex]\frac{10 * (\sqrt{2} )}{(\sqrt{2})(\sqrt{2} ) }[/tex]

x = [tex]\frac{10\sqrt{2} }{2}[/tex]

x = [tex]5\sqrt{2}[/tex]

Hope this helps!

Answer:

The answer is option C.

Step-by-step explanation:

Angles in a triangle add up to 180°

To find x add up all the angles in the triangle and subtract it from 180°

Thus

x + 95 + 57 = 180

x = 180 - 152

x = 28°

Hope this helps

Answer:

the answer is (x+6)2-4

The correct equation of the translated function, g(x) is,

⇒ g(x) = (x + 4)² 6

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

here, we have,

Given that:

The function is,

,⇒ f (x) = x²

Here, f(x) has vertex point is (0,0)

and g(x) vertex point is (-4,6)

Hence, The general form of equation with vertex is

⇒ y = a (x - h)² + k

where (h, k) are the vertex.

So, the equation of g(x) form is

⇒ g(x) = (x + 4)² + 6

Therefore, Option D is correct.

Learn more about the function visit:

brainly.com/question/11624077

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Answer:

3n + 5

1. Substitute the numbers

3(5) + 5 = 15 + 5 = 20

2. Substitute the second number

3(6) + 5 = 18 + 5 = 23

This is because I realized I got the number of 4 last because I did 1*2 = 2.

Then I did 2*2 = 4.

So you have to multiply by two to get the next number. Or you can put it to the 4th or 5th exponent of 2.

1.  1

2.  1*2 = 2

3.  2*2 = 4