Find the surface area of the figure above:

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:

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:

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:

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:

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: 34 yards

Step-by-step explanation:

A Square has all its sides having equal lengths so all the sides of this playing field will be the same.

The area of a square is calculated by multiplying the length of the field by its Width.

To find the length of each side therefore, one can simply find the square root of the area;

= √1,156

= 34 yards

Step-by-step explanation:

need staff how do u apply that

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:

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: 2x=56

Step-by-step explanation:

Answer:

The correct answer would be A.

Step-by-step explanation: Because If you look at it closly you'll see how their equivalent.

Answer:

66 candies

Step-by-step explanation:

70-4=66

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].

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:

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:

slope = -3

Step-by-step explanation:

slope is: (delta y)/(delta x)

so slope = (15-3)/(0-4)

               = -3

there are many ways

in 4 minutes, you will have 24 flyers passed out

in 6 minutes, your partner will have 24 passed out.

in 6 minutes, you will have 36 flyers passed out

in 9 minutes, your partner will have 36 flyers passed out.

you can use numbers that can be multiplied with each other or also known as multiples

Answer:

no solution

Step-by-step explanation:

24 + 6k < -6(-4-k)

Distribute

24+6k< 24 +6k

Subtract 6k from each side

24 < 24

This is never true so there are no solutions

Answer:

there is nothing to graph because there is no solution.

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

Answer:

answer is 1 ) ( -2 -1 )

Step-by-step explanation:

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

Answer:

Answer is x and y

Step-by-step explanation:

hope this will help you

Answer:

775/25

Step-by-step explanation:

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

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:

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