Nick cut a circular cookie into 5 equal slices. What is the angle measure of each slice.

Hi!

The answer is: 15 girls.

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Let

x-----> the number of girls

y-----> the number of boys

we know that

- x+y=27, Which is equation A.

- x/y = 5/4

- isolate the variable y

- y=4/5x, Which is equation B.

- 9/5x=27

- x=5x27/9

- 15 Girls.

__________________________________________________________

Hope this helps!

Answer:

Direct proportionality

If the value of y varies directly with x, the value of x when y=70 is 20.

Given that, the value of y varies directly with x.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

We know that, the value of y varies directly with x

y ∝ x

⇒ y = kx

⇒ k = y/x

⇒ k = 21/6

⇒ k = 7/2

So, k = y/x

7/2 = 70/x

⇒ 1/2 = 10/x

⇒ x = 20

Therefore, if the value of y varies directly with x, the value of x when y=70 is 20.

To learn more about the proportional relationship visit:

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Step-by-step explanation:

Similar triangles

[tex] \frac{6}{uv } = \frac{8}{3} [/tex]

uv=18/8

uv= 2.25

Answer:

25

Step-by-step explanation:

The kinetic energy of a ball with a mass of 2 kg that is rolling at a velocity of 5 m/s is 5 Joules

From the question, we are to determine the kinetic energy of the ball

From the given equation for the velocity,

[tex]v = \sqrt{\frac{2K}{m} }[/tex]

We will make K the subject of the equation

 [tex]v = \sqrt{\frac{2K}{m} }[/tex]

Take the squares of both sides

[tex]v^{2} ={\frac{2K}{m} }[/tex]

Multiply both sides by m

[tex]mv^{2} ={\frac{2K}{m} } \times m[/tex]

[tex]mv^{2} =2K[/tex]

∴ [tex]K = \frac{1}{2} mv^{2}[/tex]

Now, for the kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second

That is,

m = 2 kg

and v = 5 m/s

Putting the parameters into the equation, we get

[tex]K = \frac{1}{2} \times 2 \times 5^{2}[/tex]

K = 25 J

Hence, the kinetic energy of a ball with a mass of 2 kg that is rolling at a velocity of 5 m/s is 5 Joules

Learn more on Calculating kinetic energy here: https://brainly.com/question/25959744

Here is the complete question:

Select the correct answer from each drop-down menu. The velocity, v, in meters/second, of an object with a mass of m, in kilograms, and kinetic energy of K, in joules, is given by this equation.

[tex]v = \sqrt{\frac{2K}{m} }[/tex]

Use the equation to complete this statement. The kinetic energy of a ball with a mass of 2 kilograms that is rolling at a velocity of 5 meters/second is joules.

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Answer:

A

Step-by-step explanation:

-1 / 2 = -0.5

1/-2 = -/0.5

Answer:

b

Step-by-step explanation:

both the top and bottom are negative so there fore the whole fraction is negative.

Answer:

The square root function will turn to;

y = 3 √(x + 4) + 6

Step-by-step explanation:

Let the square root function be ;

y = √x

Now, let’s stretch this by a factor of 3

This means we are dilating by a factor of 3

Mathematically, this will be

y = 3 * √x = 3 √x

Shifting this 4 units up means that we are extending the x-axis value by 4 units

That will be ;

y = 3 √x + 4)

Now shifting this 6 units up, we finally will have;

y = 3 √(x + 4) + 6

Answer:

y=x times factor of 12 abstracted by -93

Step-by-step explanation:

The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1.

A slope is a tangent or angle at a point or a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

A linear equation or function is given as ;

y = mx + b

Now,

At x = 0 ⇒ y = b so it will be a y-intercept.

As per the given, y = x

The x's coefficient is 1 thus slope will be 1.

Or, y/x = 1

Hence "The slope is the ratio of y's coordinate to x's coordinate thus the slope of y = x will be y/x = 1".

To learn more about slopes,

https://brainly.com/question/3605446

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Answer:

13.5

Step-by-step explanation:

6 x^2

Let x= 1.5

6 ( 1.5) ^2

6 *2.25

13.5

Answer:

22

Step-by-step explanation:

add 11 + 8+ 3

Answer: 276,435

Step-by-step explanation:

yes

Answer:

The answer is B

hope it helps

Answer:

45 miles

Step-by-step explanation:

15 miles = 1 hour

15 x 3 = x

x = 45

45 miles = 3 hours

Answer:

The answer is option 3.

Step-by-step explanation:

When both lines are parallel, they will have the same gradient. In a linear equation, y = mx + b where m represents gradient and b is y-intercept :

Let m = -1, b = 1

y = -1x + 1

Answer:

the answer is option 3 like the first person said. no trollin

Step-by-step explanation:

Answer:

y = 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, 6) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = 2x - 4 ← equation of line

Answer:

the value of x is 46 round to the nearst tenth thatll be 50

Step-by-step explanation:

Answer:

400 times 8%= 32 times 3=96

Step-by-step explanation:

Answer:

Wal-mart

Step-by-step explanation:

you only get a discount from National Tire and Battery after you purchase 4 tires, which is not as good a deal as Wal-mart's

Answer:

Wal-mart.

Step-by-step explanation

20% of 225 is 45, therefore we subtract 45 from 225 and get 180.

180x4=$720

$720 is the least amount of money spent on 4 tires :)

Answer:

x=60

Step-by-step explanation:

X+2x=180degree because it is co interior angle

3x=180

X=180/3

X=60.

Verification

X+2x=180

60+2(60)=180

60+120=180

Answer:

Cole bought 7 pants and 9 shirts.

Step-by-step explanation:

Let p represent the number of pants and s represent the number of shirts.

Then using the provided data two equations can be formed.

p + s = 12...(i)

22p + 16s = 234...(ii)

Solve (i) and (ii) simultaneously.

Multiply (i) by 16 and subtract the resultant equation from (ii) as follows:

16p + 16s = 192

-22p - 16s = -234

-6p = -42

p = 7

Substitute p = 7 in (i) and solve for s as follows:

p + s = 16

7 + s = 16

s = 9

Thus, Cole bought 7 pants and 9 shirts.

Answer:

Okay will do!!

Step-by-step explanation:

Answer:

4.5 inch per 1 sec

Step-by-step explanation:

18/4=4.5

Answer:

13,000

_____

4%

I'm sorry if this is incorrect

Answer:

60/4 if i get right can i please get brainliest?

Answer:

60 miles/ 4 gallons

Step-by-step explanation:

60 divided by 4 is 15