Express in the form 1:n the ratio 56:7 give your answer as a decimal ​

Answer:

The length of the shorter part of the wire is 24 centimeters.

Step-by-step explanation:

Let [tex]L[/tex] the total length of the piece of wire, where [tex]L-x[/tex] and [tex]x[/tex] are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are [tex]\frac{L-x}{4}[/tex] and [tex]\frac{x}{4}[/tex]. From statement we find that the sum of the areas of the two squares ([tex]A[/tex]), measured in square centimeters, is represented by the following expression:

[tex]A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}[/tex] (1)

And we expand this polynomial below:

[tex]A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}[/tex]

[tex]A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}[/tex]

[tex]2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0[/tex] (2)

If we know that [tex]L = 76\,cm[/tex] and [tex]A = 205\,cm^{2 }[/tex], then the length of the shorter part of the wire is:

[tex]2\cdot x^{2}-152\cdot x +2496 = 0[/tex]

By the Quadratic Formula, we determine the roots associated with the polynomial:

[tex]x_{1} = 52\,cm[/tex], [tex]x_{2} = 24\,cm[/tex]

The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.

Answer:

B

Step-by-step explanation:

i did the same test

Answer:

...

Step-by-step explanation:

Answer:

125 is 1 1/4

so it would b before 1 1/2

and is im right it would b

1.26

125%

1 1/2

Step-by-step explanation:

Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

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Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

4x+20 = 75

4x = 75-20

4x = 55

x = 55/4

x = 13.75

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Explanations:

Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.

Step-by-step explanation:

Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.

With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.

Answer: I hope this helps^-^

Find the roots of (x+4)2=0 by solving for x

x=−4

Step-by-step explanation:

Answer:

Hi! The correct answer is y = 5

Step-by-step explanation:

~Solve for the first variable in one of the equations, then substitute the result into the other equation~

Answer:

the degree of the polynomial is 5

Answer:the

Step-by-step explanation:

Answer:

When f(n) = 12, what is the value of n? Answer: n=5

Step-by-step explanation:

Answer:

1. The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

2. The distance between the points (-3,8) and (-4, -2) is 10.04

Step-by-step explanation:

1. Which of the following is the correct form of the distance formula?

The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

2. Use the distance formula to find the distance between the points (-3.8) and (-4. -?)

Note: Since the y-term in (-4,-) is missing So, I am using -2 to solve the question and find distance. You can use the term given in question and replace it with -2 and use this solution as reference to solve and find the correct answer.

We have points (-3,8) and (-4,-2)

Putting values in distance formula and finding result:

[tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have x_1=-3, y_1=8, x_2=-4, y_2=-2

[tex]Distance=\sqrt{(-2-(-3))^2+(-2-8)^2}\\Distance=\sqrt{(-2+3)^2+(-2-8)^2}\\Distance=\sqrt{(1)^2+(-10)^2}\\Distance=\sqrt{1+100}\\Distance=\sqrt{101}\\Distance=10.04[/tex]

So, the distance between the points (-3,8) and (-4, -2) is 10.04

Answer:

40

Step-by-step explanation:

8 = x/5

x = 8*5

x = 40

Answer:

a) 26.3% b) 58.5%

Step-by-step explanation:

(5/19) * 100 = 26.3

(72/123) * 100 = 58.5

Answer:

thx for the free points

Step-by-step explanation:

Answer:

-4r + 9

Step-by-step explanation:

Join the r terms, you get -4r, join the numbers, you get 9.

Hope it helps!

Answer:

Step-by-step explanation:

Given formula:

Solving for n:

[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]

where, n =number of sides of polygon

S =sum of the degree measures of the interior angles of the polygon

Answer:

There are 72 crayons in the box

Step-by-step explanation:

Fractions

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]

Thus, the portion of yellow crayons is:

[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]

This fraction of x crayons is equal to 14, thus:

[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]

x = 72

There are 72 crayons in the box

Answer:

The answer is B

Step-by-step explanation:

All other fractions when simplified are equal to 2/5

Answer:

The regular costs 11 dollars each while the deluxe cost 23 each.

Step-by-step explanation:

You need to setup two equations.I used two variable for the prices of the types of pizzas because they are unknown.I used x for the cost of regular and y for the cost of deluxe.The equation I did are 10x+y=133 and 7x+9y=284.You need to solve one equation only.I solved the first one.

The answer i got is -1.55, im not sure though

The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given expression, x - y

x = - 5 1/4 = (-5 x 4 + 1)/4 = -19/4 = -4.75

y = -6.8

Substitute x and y into the above expression,

-4.75 - (-6.8) = 2.05

Hence "The value of the given algebric expression is x - y when x=−5 1/4 and y=−6.8 will be 2.05".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer:

1/5

Step-by-step explanation:

Look at it this way; 1/5th of a pizza. Five parts of a pizza, you only have one. But 4/5? You have four slices of the pizza! Much more! Yum.

Answer:

1/5<4/5

Step-by-step explanation:

Answer:

35/131

Step-by-step explanation:

Since 35 out of 131 students are freshmen, the fraction would be:

35/131

I hope this helps! :)

The fraction of the students are freshmen will be 35 / 131.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

There are 131 students at a small school, and 35 of them are freshmen.

Then the fraction of the students are freshmen will be

⇒ 35 / 131

More about the fraction number link is given below.

https://brainly.com/question/78672

#SPJ2

Answer:

Its XYW is half of LXYZ

Step-by-step explanation:

.

Answer:

this is the required solution

Answer:

n can be a number less than 3

Step-by-step explanation:

Hope this helps!

Answer:

N<3

Step-by-step explanation:

Answer:

πd X 27.5

π X 29.5 X 27.5= 2548.61704

2548.62cm