Divide $1600 In The Ratio Of 3:7:10 (2024)

Answer:

5/6 of the room would be painted if both of them painted the room together in 1 hour

Step-by-step explanation:

Work done by A in 1hour=1/2

Work done by B in 1hour=1/3

Therefore total work done by both in 1hr=1/2+1/3

LCM of 2 and 3 is 6

therefore 1/2+1/3=3/6+2/6=5/6

Answer:

2x -3y = 19

Step-by-step explanation:

For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (-5-(-1))/(2 -8)(x -8) +(-1)

y = -4/-6(x -8) -1

3y = 2x -16 -3 . . . . multiply by 3

2x -3y = 19 . . . . . . rearrange to standard form

__

The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.

Answer:

2x + -3y = 19

Step-by-step explanation:

I promise

Answer:

(f-g) (x) is

[tex] {4}^{x} - 5x - 14[/tex]

Step-by-step explanation:

f(x)=4ˣ - 8

g(x)=5x+6

(f-g) (x) is

[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]

The final answer is

[tex] {4}^{x} - 5x - 14[/tex]

Hope this helps you.

Answer: x≈3.7

Step-by-step explanation:

7x+4=30

-4 on both sides

30-4=26

7x=26

divide 7 on both sides

x=3.7142...

Answer:

3.7

Step-by-step explanation:

7x+4=30

7x=30-4

7x=26

26/7

3.7

Answer:

-16d+24

Step-by-step explanation:

=> -8(2d-3)

Expand the brackets and use distributive property.

=> (-8 × 2d)+(-8 × -3)

Multiply

=> (-16d) + (24)

=> -16d+24

Answer:

-16d + 24

Step-by-step explanation:

-8(2d - 3)

Expand or distribute.

-8(2d) -8(-3)

Multiply the terms.

-16d + 24

Answer:

The first term is 42.

Step-by-step explanation:

The common difference is 142 - 140 = 2 so we have

50th term = a1 + 2(50 -1) = 140 where a1 is the first term

a1 + 98 = 140

a1 = 140 - 98 = 42.

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:

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 :

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:

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

If you mean to simplify it’s

80
——
100

What is the highest multiple that can go into both numbers, is it 10? 15? 20?

Lets try 20

80/20 = 4
100/20 = 5

4/5

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: [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 answer is (x+6)2-4

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

⇒ g(x) = (x + 4)² 6

What is mean by Function?

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

#SPJ7

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:

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:

[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:

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:

A = [tex]\frac{d*d'}{2}[/tex] where d and d' are the diameters

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

A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex] A" = 729 cm²

Let a be the area of the single parallelogram

a = A"/4 since the parallelograms are congruent a = 729/4 a = 182.25 cm²

the area of a parallelogram is fiven by the formula :

A = b*h b is the base (here y/2) and h the height (here 18/9)

let's find y

a = [tex]\frac{y}{2}[/tex] * 9182.25*2 = y*9 364.5 = y*9 y = 364.5/9 y = 40.5

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:

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:

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:

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:

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:

x = 23

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:

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:

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:

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:

x^3-y^3= (x-y)((x^2+xy+y^2)x^6-y^6=(x^3+y^3)(x^3-y^3)= (x^3+y^3)(x-y)(x^2+xy+y^2)x^4+ x^2y^2+y^4​= x^4+2x^2y^2+y^4 - x^2y^2= (x^2+y^2)^2 -x^2y^2=(x^2+xy+y^2)(x^2-xy+y^2)

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

Answer:

x = 7, -6

Step-by-step explanation:

Since they already give you the binomial factors, all you need to do is set them equal to 0 to find your roots:

x - 7 = 0

x = 7

x + 6 = 0

x = -6

Answer:

The zeros are 7 and -6

Step-by-step explanation:

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

x-7=0/(x+6)

x cannot be -6

x-7=0

x=7

x+6=0/(x-7)

x+6=0

x=-6

The zeros are 7 and -6

Answer:

i. weight of wastage(kg) = 179.775 kg

ii. weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

Step-by-step explanation:

A land of 1000 sq. meter is used to cultivate 765 kg of rice with wastage of 23.5%.

i. The wastage in percentage is 23.5% but the weight of the wastage in weight is 23.5% of 765 kg

weight of wastage = 23.5/100 × 765

weight of wastage = 17977.5/100

weight of wastage(kg) = 179.775 kg

ii. weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

Answer:

√126

Option D is the right option.

solution,

[tex] \frac{ac}{bc} = \frac{bc}{dc} \\ or \: \frac{18}{ m} = \frac{m}{7} \\ or \: m \times \: m = 18 \times 7(cross \: multiplication) \\ or \: {m}^{2} = 126 \\ m = \sqrt{126} [/tex]

Hope this helps..

Good luck on your assignment.

Hope