A wire that is 80 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. 80 cm wire Suppose that the side length (in centimeters) of one square is x cm. Express the perimeter of the big square in terms of x. (1 point)

Answers

Answer 1

Answer:

The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]

Step-by-step explanation:

From the information given:

The length of the piece of the wire  = 80 cm

When being cut into two pieces;

the length of the first wire = x

Then the length of the second(big) wire will be = 80 - x

However, when each piece is bent to a square shape

The length of one side of the first square = [tex]\dfrac{x}{4}[/tex]

The length of one side of the second(big) square; [tex]\dfrac{80-x}{4}[/tex]

Area of a square = l² ( where l is the length of the sides)

For the first square

A₁ = [tex](\dfrac{x}{4})^2[/tex]

A₁ = [tex]\dfrac{x^2}{16}[/tex]

The area of the second(big) square is:

A₂ = [tex](\dfrac{80-x}{4})^2[/tex]

A₂ = [tex](\dfrac{(80-x)^2}{4})[/tex]

The perimeter of the first square = [tex]4 \times \dfrac{x}{4}[/tex]

The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]


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Step-by-step explanation:

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This is a function because the Y values do not repeat.

A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep it out , and then pull out another one .

What is the probability of getting a yellow rock and then a n orange rock ?

Answers

Answer:

[tex]Probability = \frac{7}{253}[/tex]

Step-by-step explanation:

Given

[tex]Orange = 7[/tex]

[tex]Green = 6[/tex]

[tex]White = 1[/tex]

[tex]Black = 7[/tex]

[tex]Yellow = 2[/tex]

Required

Probability of selecting a yellow then orange rock

From the question, we understand that the probability is that of without replacement.

Since the yellow, is first picked.

We need to determine the probability of picking a yellow rock, first.

[tex]P(Yellow) = \frac{n(Yellow)}{Total}[/tex]

[tex]P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}[/tex]

[tex]P(Yellow) = \frac{2}{23}[/tex]

The rock has reduced by 1;

Next is to determine the probability of picking an orange rock

[tex]P(Orange) = \frac{n(Orange)}{Total - 1}[/tex]

[tex]P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}[/tex]

[tex]P(Orange) = \frac{7}{22}[/tex]

The required probability is calculated as thus:

[tex]Probability = P(Yellow) * P(Orange)[/tex]

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[tex]Probability = \frac{7}{253}[/tex]

Given: -4x + 2y = 8
Prove: y = 4 + 2x​

Answers

Answer:

Step-by-step explanation:

-4x+2y=8

2y=8+4x

y=[tex]\frac{8+4x}{2}[/tex]

y=[tex]\frac{2(4+2x)}{2}[/tex]

y=4+2x  

proved

Bobby and his brother had 3/4 of a pizza leftover after dinner. Their father came home and are 1/2 of the leftover pizza .how much pizza did their father eat

Answers

Answer:

3/8 of the pizza

Step-by-step explanation:

3/4*reciprocal of 2

3/4*1/2

3/8

3/8

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Answers

Answer:

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Step-by-step explanation:

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Answers

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step by step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Samuel drove 28 miles in 32 minutes. Beverly drove 42 miles in 48 minutes.

Are the ratios of miles to minutes for Samuel and Beverly proportional?

Drag and drop to correctly complete the statement.

Answers

= Ratio of minutes to miles in which Samuel drove = 28 : 32

= Ratio of minutes to miles in which Beverly drove = 42 : 48

To find whether the time they drove and the distance they covered were proportional or not , let us first change them into a fraction and then simplify them .

= 28 : 32 = 28/32

= 28/32

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Answer:

7:8 7:8

Step-by-step explanation:

if you subtract 28 from 42 and subtract 32 from 48 then you get 14-16. then double it and you get 28-32 then add 14-16 to those again and you get 42-48. because they add up and are equal, take 14-16 and simplify it to 7:8.

Pls I really need help

Answers

Answer:

Greater

Step-by-step explanation:

Greater
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Answers

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Suppose that a recent poll found that 50 ​% of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral​ values, complete parts​ (a) through​ (e) below.

Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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-45

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Answers

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Answers

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Answers

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