The peak of Mount Everest, Earth's tallest point, is about 5 1/2 miles above sea level. The bottom of the Mariana Trench, Earth's deepest point, is about 6 9/10 miles below sea level. If you could place Mount Everest at the bottom of the Mariana Trench, how far from sea level would its peak be?

Answer:

A) La traducción algebraica de la oración es [tex]x^{2}-5=220[/tex].

B) La traducción algebraica de la oración es [tex]4\cdot x^{2} = 100[/tex].

C) Ese problema se traduce bajo esta forma lógica como [tex]w\cdot l = 5625\,m^{2}[/tex] [tex]\land[/tex] [tex]w = l[/tex] [tex]\implies[/tex] [tex]w = 75\,m[/tex] [tex]\land[/tex] [tex]l = 75\,m[/tex].

Step-by-step explanation:

Debemos proceder en este ejercicio como sigue:

1) Leer cuidadosamente la frase.

2) Escribir su equivalente matemático a medida que se lee y hasta culminarlo.

A continuación, presentamos el desarrollo y la conclusión de cada ejercicio:

A) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:

(i) El cuadrado de un número:

[tex]x^{2}[/tex]

(ii) El cuadrado de un número menos cinco:

[tex]x^{2}-5[/tex]

(iii) El cuadrado de un número menos cinco es igual a:

[tex]x^{2}-5=[/tex]

(iv) El cuadrado de un número menos cinco es igual a doscientos veinte:

[tex]x^{2}-5=220[/tex]

La traducción algebraica de la oración es [tex]x^{2}-5=220[/tex].

B) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:

(i) Alejandra pensó un número:

[tex]x[/tex]

(ii) Alejandra pensó un número, lo elevó al cuadrado,:

[tex]x^{2}[/tex]

(iii) Alejandra pensó un número, lo elevó al cuadrado, multiplicó el resultado por cuatro:

[tex]4\cdot x^{2}[/tex]

(iv) Alejandra pensó un número, lo elevó al cuadrado, multiplicó el resultado por cuatro y obtuvo cien:

[tex]4\cdot x^{2} = 100[/tex]

La traducción algebraica de la oración es [tex]4\cdot x^{2} = 100[/tex].

C) Interpretamos la oración paso a paso conforme al lenguaje matemático conocido:

(i) Si una pista de baile tiene un área de 5625 m²:

[tex]A = 5625\,m^{2}[/tex]

(ii) Si una pista de baile tiene un área de 5625 m² y se sabe que su ancho mide lo mismo que su ancho:

Lo que se infiere de la afirmación es que la pista de baile sería un cuadrilátero y más precisamente, un cuadrado:

[tex]A = 5625\,m^{2}[/tex]

[tex]A = w\cdot l[/tex] ([tex]l[/tex] - Largo, [tex]w[/tex] - Ancho)

[tex]w = l[/tex]

Entonces la ecuación algebraica sería:

[tex]l^{2} = 5625\,m^{2}[/tex]

(iii) Si una pista de baile tiene un área de 5625 m² y se sabe que su ancho mide lo mismo que su ancho, cuanto medirán las dimensiones de la pista de baile:

Lo que se infiere de la afirmación es que la pista de baile sería un cuadrilátero y más precisamente, un cuadrado:

[tex]A = 5625\,m^{2}[/tex]

[tex]A = w\cdot l[/tex] ([tex]l[/tex] - Largo, [tex]w[/tex] - Ancho)

[tex]w = l[/tex]

Entonces la ecuación algebraica sería:

[tex]l^{2} = 5625\,m^{2}[/tex]

Y obtenemos la longitud por despeje:

[tex]l = \sqrt{5625\,m^{2}}[/tex]

[tex]l = 75\,m[/tex]

[tex]w = 75\,m[/tex]

Ese problema se traduce bajo esta forma lógica como [tex]w\cdot l = 5625\,m^{2}[/tex] [tex]\land[/tex] [tex]w = l[/tex] [tex]\implies[/tex] [tex]w = 75\,m[/tex] [tex]\land[/tex] [tex]l = 75\,m[/tex].

Given:

The complex fraction is

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]

Esmerelda simplified a complex fraction and steps are given.

To find:

The mistake of Esmerelda.

Solution:

We have,

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}[/tex]

Convert the mixed fraction in improper fraction.

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{5\times 4+1}{4}}{\dfrac{3}{2}}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{20+1}{4}}{\dfrac{3}{2}}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=\dfrac{-\dfrac{21}{4}}{\dfrac{3}{2}}[/tex]

Use the reciprocal of the divisor.

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21}{4}\times \dfrac{2}{3}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{21\times 2}{4\times 3}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{42}{12}[/tex]

[tex]\dfrac{-5\dfrac{1}{4}}{\dfrac{3}{2}}=-\dfrac{7}{2}[/tex]

Therefore, the correct value of given fraction is [tex]-\dfrac{7}{2}[/tex].

Three mistakes of Esmerelda are:

1. Esmerelda added the numerators.

2. Esmerelda added the denominators.

3. Esmerelda did not use the reciprocal of the divisor.

Answer:

B,C,E

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

The definition of an acute angle is less that 90 degrees.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

answer is 1 ) ( -2 -1 )

Step-by-step explanation:

4* (-1) - 2 (-2) = 0

Answer:

x = -5

Step-by-step explanation:

I hope this helps!

Answer:

if you need to find the value of x then I can help

First the equation looks like this:

2x + 3 = -7

first find the value of "x" which will be -5 then the equation will look like this:

2(-5) then multiply 2 and -5 which is equal to -10

this will make the equation look like this:

-10 + 3 = -7

then evaluate

-10 + 3 = -7

-7 = -7

Therefore the value of "x" is -5

Answer:

y = -4x + 19

Step-by-step explanation:

We will use the linear equation y = mx + c for this

m is our slope and c is our offset (y-intercept)

We are informed that our slope is -4 so

y = -4x + c

To find the equation of a line passing through the point (5,-1) we simply plug in our values into our equation

-1 = -4(5) + c

Then we can find c

-1 = -20 + c

19 = c

Now that we have our m and c, we can form an equation of a line that passes through our point:

y = -4x + 19

Answer:

Answer is x and y

Step-by-step explanation:

hope this will help you

The answer is three

Step-by-step explanation:

75 plus 160 is 235 and 235+235+235= 705

Answer:

this is the answer for first question with this i bet you can do the rest

Step-by-step explanation:

first one 3.99 cent for small bag and 3.349 cent in big bag

You can write a ratio in 3 ways… example-7lb/27.93 or 7:27.93 or 7 to 27.93. Or you can actually divide the number and get a smaller version.

Part B is the answer you get when you divide 7/27.93. Equivalent fraction would be 1/?? Whatever the answer is.

Part C is which ever one is the lesser amount per 1/??

better way and help for rest

Answer:

Woah this is hard

Step-by-step explanation:

Answer:

6,500 = 4th year

6,000 = 5th year

5,500 = 6th year.

The amount of depreciation of the piece of machinery in the sixth year is $5000.

A reduction in the value of an asset over time, due in particular to wear and tear.

Given that, a piece of machinery depreciates $8000 the first year, $7500 the second year, and $7000 the third year

The rate of depreciation is $500 per year

For 6 years the reduction is = 6*500 = $3000

Therefore, after 6 years = $8000 - $3000 = $5000

Hence, The amount of depreciation of the piece of machinery in the sixth year is $5000

For more references on  depreciation, click;

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Answer:

Step-by-step explanation:

Area of a rectangle = Length x Breadth.

Area= L x B

We are told the length is twice the breadth.

You can write this as :

Length = 2 x Breadth

L = 2B

If you put that into the area formula at the beginning, we get:

Area = L x B

Area = 2B x B = [tex]2B^2[/tex]

They also told us that the area of the field is 3200 square meters. So,

Area = [tex]2B^2[/tex] = 3200

Divide both sides by 2

[tex]B^2[/tex]= [tex]\frac{3200}{2} = 1600[/tex]

Now to solve for B we need to square root both sides.

[tex]B = \sqrt{1600}[/tex] = 40

So now we know the Breadth is 40meters

Remember earlier we said Length = 2 x Breadth

[tex]L = 80[/tex]

Cost of fencing the field = 2L + 2B

Cost of fencing the field = 2 x 80 + 2 x 40 = $240

Answer:

Step-by-step explanation:

There is no answer if the question is as written. If you subtract 2/3 h from 2/3 h you get 0.

That means that 11 = 8 which has no meaning.

Answer:

That would be the origin, (0,0).

Please let me know if I'm incorrect!

Answer:

the ordered pair you see is (0,0) or the origin

Answer:

9

Step-by-step explanation:

81^1/2 is actually √81

square root of √81 is 9

Pls mark me as brainliest

Step-by-step explanation:

need staff how do u apply that

Answer:

66 candies

Step-by-step explanation:

70-4=66

Answer:

27/20

Step-by-step explanation:

The absolute value of any expression is always positive or zero

3/5 + 3/4

Add the fractions

27/20

Solution

27/20

Alternate form

1 7/20, 1.35

Answer:

1.35

Step-by-step explanation:

I hope this helps!

Answer:

The home team with 3 touchdowns

Step-by-step explanation:

A touchdown in football is equal to 6 points

6*3=18

A field goal is equal to 3 points

4*3=12

The home team scored more points at 21 points than the visiting team which had only scored 12 points.

Given that, the home team scored 3 touchdowns. The visiting team scored 4 field goals.

We need to find which team scored more points.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now,

If you are including the extra point as the touchdown it would be 7 points times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)

For the 2nd team, they have 3 pts times 4 field goals which would put the visiting team at 12 points total.

Therefore, the home team scored more points at 21 points than the visiting team which had only scored 12 points.

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Answer:

The angle is 90, my friend gave the answer as 10, so he is incorrect

The complement of the angle is not 10 but 0

The measure of the supplement is 90 degrees

Step-by-step explanation:

The complement of an angle is simply the value of 90 minus the angle

The supplement of an angle is simply the value of 180 minus the angle

So let’s say the angle we are looking at is x

The complement of the angle will be 90 - x

The supplement of the angle will be 180-x

so from the question;

x = 90-x + 180-x

x = 270 - 2x

2x + x = 270

3x = 270

x = 270/3

x = 90

The measure of the angle is 90 degrees

the measure of the complement of this angle is 90-90 = 0 degrees

The measure of the complement is 180-90 = 90 degrees

Answer:

(4-3i)(-3+6i)-(2-i)=

1i×9i-1i=

9i-1i=

8i

Answer:

A square has equal width and length. To find the area, you have to multiply the width by length but because they are the same length, you may some time see the formula written as L*L or [tex]L^{2}[/tex].

The area of used up by the squares is 150sq feet. I found this by dividing 600 by 4. You can find an estimate by equating 150 the L*L. This gives you an approximate value of 12.  

Answer:

5.14

Step-by-step explanation:

The similarity ratio is 4/7 we can write an equation to find x

4/7 = 9/x cross multiply

7x = 36 divide both sides by 7

x = 5.14 approximately

Answer:

The answer is B

Step-by-step explanation:

5.14 hope this helps. :)

Answer:

775/25

Step-by-step explanation:

Huge is incorrect, because subtraction is not commutative.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Hugh says that “one less than four times a number” can be written as two expressions,

⇒ 1 - 4n and 4n - 1.

Now, We know that;

The subtraction property is not commutative.

And,  1 - 4n ≠ 4n - 1

Hence, Hugh is incorrect.

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Answer:

English people often say: 'A dog is a man's

best friend', and I agree.

I live with my parents on a farm in the country It is a long way from my school, and I haven't got any

brothers or sisters, so I am often alone.

My dog, Bella, is like a best friend to me. When I am at home, she

is with me all the time.She follows me arond the house, and she sleeps next to my bed at night. Bella always wakes up early in the

morning. She has lots of energy and she likes to play. We usually get

up at 6 a.m. and walk in the fields behind my house.

Of course, Bella doesn't talk to me, but she always looks at me

and concentrates when I talk to her. I think she knows when I am happy and when I am sąd. She always knows how

to make me feel better.

When I come home from school, I sit at my desk and do my

homework."

Bella usually relaxes under the desk. When I finish, she jumps up and we go

out again.English people often say:A dog is man's best friend, and I agree. I live

Answer:

B)129.1

Step-by-step explanation:

see the graph of cos