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75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

penguin walks 10 feet in 6 seconds

At the same rate we need to find the distance walked by penguin in 45 seconds

Let x be the distance travelled by penguin in 45 seconds

10/6=x/45

Apply cross multiplication

45(10)=6x

450=6x

Divide both sides by 6

x=75

So 75 feet the penguin walk in 45 seconds.

Now let us find how long it takes for penguin to walk 45 feet.

Let x be the time

10/6=45/x

Apply cross multiplication

10x=270

Divide both sides by 10

x=27

In 27 seconds the penguin walk 45 feet.

Hence,  75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.

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Answer:

1. a)x² + y² = 29  ------------------(1)      

y² - x² = 23 ----------------(2)

y²  = 23 + x²

Using the value of y² in the first equation:

x²  + y²  = 29

x²  + (23 + x²)  = 29

2x²  = 6

x² = 3

x = √3

Using the value of x in equation (2)

y²  - x²  = 23

y²  - 3 = 23

y²  = 26

y = √26            and            x = √3

b) ( 1 - 12x) / 3 < 0   =   1-12x < 0  =  x > 1 / 12

(1-x) / 2 ≤ (3-x) 3  =  3 - 3x ≤ 6 - 2x  =   -3 ≤ x

In these 2 equations, the value of x will be the values of x common to both the inequalities

Since the second equation starts at a much lower value than the first equation, and they are both going up, all the values for the first equation will also stand for the second equation

Hence, the value of x for the given system of equations is

x  > 1/12

2.

3x² - 7x  + 2 ≥ 0

3x² -6x -1x  + 2 ≥ 0       (splitting the middle term)

3x(x - 2) -(x - 2) ≥ 0

(3x - 1)(x-2) ≥ 0

(3x-1) ≥ 0         or     (x-2) ≥ 0

x ≥ 1/3       or    x ≥ 2

Written above are the 2 solutions for the given equation

4.

We are given that Sin α = (2√3) / 3  or 2/√3

According to the pythagorean law:

sin²α + cos²α = 1

4 / 3  + cos²α = 1

cos²α = (3-4)/3

cos²α = -1/3

cos α = √(-1/3)      or    i / √3    since √-1 is also known as i

Cosec α = 1/ Sin α

Cosec α = 1 / (2/√3)

Cosec α = √3 / 2

Sec α = 1 / cos α

Sec α = 1 /  √(-1/3)

Sec α = (√3)  / (√-1)

Since (√-1) is also known as i , we can write this as:

Sec α = (√3)  / i

Tan α = Sin α / Cos α

Tan α = (2√3 / 3) / (i / √3)

Tan α = (2√3 * √3) / 3 * i)

Tan α = 2 / i

Cot α = 1/Tan α

Cot α = 1 / (2 / i)

Cot α = i / 2

Answer:

1,2,3,5

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

All you have to do is divide the t on both sides and you'll get...

[tex]r=\frac{d}{t}[/tex]

Answer:

y= 2x + 6

Y=2x + 6

Step-by-step explanation:

The graph of this system of equations will have two lines exactly on top of each other.

Answer:

No

Step-by-step explanation:

The triangle inequality rule states that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

Answer:

No

Step-by-step explanation:

It doesn't agree to Pythagoras Theoram.

But if they were the sqrt values, it would work.

Answer:The multiples of 15 are the numbers which are n-times of 15, where n = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. So, basically, multiples are n-times of any number, where n is the list of natural numbers. Thus, number 15 has multiples in the form of 15n, such that: 15 x 1 = 15

Answer:

15

Step-by-step explanation:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735,

Answer:

see below

Step-by-step explanation:

2d+21 ≤11

Subtract 21

2d+21-21 ≤11 -21

2d ≤-10

Divide by 2

2d/2 ≤-10/2

d≤-5

Answer:

-9

Step-by-step explanation:

ya want me to explain or not?

Answer:

a. 16

b. 80

c. Blood type AB

Step-by-step explanation:

Given:

O = 45%

A = 40%

B = 11%

AB = 4%

Total number of donors = 145

a. No. of donors that had type B blood = [tex] \frac{11}{100}*145 = \frac{1,595}{100} = 15.95 [/tex]

Type B blood donors ≈ 16

b. No. of blood donors without blood type O = [tex] \frac{40 + 11 + 4}{100}*145 = \frac{55}{100}*145 = \frac{7,975}{100} = 79.75 [/tex]

Those without blood type O ≈ 80

c. Find the number of people that had type AB:

Type AB = [tex] \frac{4}{100}*145 = 5.8 [/tex] ≈ 6. This is less than 10 donors.

Therefore, blood type AB had less than 10 donors.

Answer:

11/100

123/100

103/100

7/100

Step-by-step explanation:

simplify the answers

Answer:

6 − 4  x = 6 x − 8 x − 2  Since  x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

6 x − 8 x − 2 = 6− 4 x  Subtract  8 x  from  6 x . − 2 x − 2 = 6 − 4 x

Move all terms containing  x

to the left side of the equation.

Tap for fewer steps...

Add  4 x

to both sides of the equation.

− 2 x − 2  +  4  x =  6  Add  − 2 x  and  4 x . 2 x − 2 = 6

Move all terms not containing  

x  to the right side of the equation.

Tap for fewer steps...

Add  2

to both sides of the equation.

2 x = 6 +  2  Add  6  and  2 . 2 x = 8

Divide each term by  

2  and simplify.

Tap for fewer steps...

Divide each term in  

2 x = 8  by  2 .  2 x 2 =  8  2  Cancel the common factor of  

2  .  Tap for more steps...

x = 8  2  Divide  8  by  2 .

x = 4

Answer:

Andy is incorrect

Step-by-step explanation:

[See attachment for complete question]

Andy is incorrect because of the following.

Filling the empty boxes with any real numbers does not guarantee that the expression will be a polynomial.

For instance, if the expression is completed as thus:

(5x⁴ + 4x³)(4x^(2.7981) - 6) = A

This expression is not a polynomial because all powers of x must be non negative and it must be an integer.

So, Andy's statement is incorrect

Answer:  see below

Step-by-step explanation:

Speed = | Velocity |

4.

   Velocity         -14   20   -2    0    25    -15

   Speed             14   20    2    0    25     15

5.

   Velocity         -16   16

    Speed            16   16

6.

    3 is greater then -4

       |---------|---------|

     -4         0         3

7.

    A velocity of -4 has a greater speed than a velocity of 3

  Velocity        -4     3

  Speed            4     3  

Answer: B. subtract

Step-by-step explanation: x-5=12

5-5

Answer:

Hello. The answer is A.

Step-by-step explanation:

You should add five to left side to make x alone.

For avoiding changing the equation you should add another five to left side.

I hope you understand

the answer is 1 unit

that's the answer

Answer:

8 4/7

Step-by-step explanation:

Use a proportion.

Let the unknown number of laps for 30 minutes be x.

7 minutes is to 2 laps as 30 minutes is to x laps

7/2 = 30/x

Cross multiply.

7x = 2 * 30

7x = 60

x = 60/7

x = 8 4/7

Answer: 8 4/7

Isabella walks twice around the gym track in 7 minutes. She can do 60/7 laps of the track in a half hour if she continues moving at this pace.

Running a lap is equivalent to making a full circle of a track during a race or while exercising while walking. the front portion of the human body, when seated, from the waist to the knees. the area of clothing that, while a person is sitting, covers the front of their body from the waist to their knees. a location, setting, or circumstance that promotes rest or nurturing: the lap of luxury.

Laps are being done to get a good workout. For beginners, 20–30 laps in 30 minutes is frequently an effective and reachable target. If you're more advanced, try to do 40 to 50 laps in the same amount of time, and aim for 60 or more.

Let x equal the undetermined number of laps for 30 minutes.

7 minutes equals 2 laps, while 30 minutes equals x laps.

[tex]\frac{7}{2} = \frac{30}{x}[/tex]

Cross multiply.

[tex]7x = 2 \times 30\\7x = 60\\x = \frac{60}{7}\\[/tex]

Therefore, Isabella can do 60/7 laps of the track in a half hour if she continues moving at this pace.

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Answer:

the length of MR = 9

Step-by-step explanation:

Looking at the figure, we can tell that segment TR is congruent to segment RA, meaning TR has equal length to RA and the same goes to MR and RH. Since the problem gives us the total length of line TA and line MH, we can say that the length of MR is half of the total length of MH. Therefore, length of MR is 9.

Answer:

esta Frase es correcta se a los amigos de mis Padres true false

Answer:

A COMPIONY FARTED AND THEN YEAH 13256326

Step-by-step explanation:

Answer:

yyeeeett

Step-by-step explanation:

just a guess y'know

Answer:

Step-by-step explanation:

Why, it’s quite simple: yeet plus yeet =2yeet. Or if one of those yeets yeeted themselves out the window like Papyrus yeeted himself out of Undyne’s window, then only one sad yeet is left without a friend to yeet.

HOPE THIS HELPS NYHEHEHEHEH

-Signed by The Great Papyrus Spagettitore

Answer:

first u find a common denominator for all of them and then add them all together

Step-by-step explanation:

I really do hope this helps!!!

Answer:

35.61

Step-by-step explanation:

Add 10 +2+16+5= 33

Then add 5/8+7/8= 1.5

Then add 8/9+2/9= 1.1

Then add 33+1.5+1.1= 35.61

Mark me as Brainliest.

Answer:

[tex]\left|x\right|<-3\\\\\\No\: solution\\[/tex]

Step-by-step explanation:

[tex]|x| + 7 < 4\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\\left|x\right|+7-7<4-7\\\\Simplify\\\left|x\right|<-3\\\\\mathrm{Absolute\:value\:cannot\:be\:less\:than\:0}\\\mathrm{No\:Solution\:for}\:x\in \mathbb{R}[/tex]

Answer:

3 2/5

Step-by-step explanation:

Answer:

10 teaspoons

Step-by-step explanation:

1 dozen of cookies= 12 cookies

4 teaspoon of cinnamon ----- 2(12)= 24 cookies

Amount of cinnamon needed per cookie

[tex] = \frac{4}{24} \\ = \frac{1}{6} \: teaspoon[/tex]

Teaspoons of cinnamon needed for 60 cookies

[tex] = 60( \frac{1}{6} ) \\ = 10[/tex]

Thus, 10 teaspoons of cinammon is needed for 60 oatmeal cookies.

Answer:

36

Step-by-step explanation:

Answer:

the answer is lines that do connect