How can percent help you understand situations involving money?

In a polygon with n sides, the sum of the measures of the interior angles, S, is

[tex] S = (n - 2)180 [/tex]

In a regular polygon with n sides, the measure of each interior angle, a, is the sum of the measures of the interior angles divided by the number of sides, or

[tex] a = \dfrac{(n - 2)180}{n} [/tex]

In this case, we know the measure of one angle, a = 157.5°, so we plug it into the second formula and solve for n.

[tex] a = \dfrac{(n - 2)180}{n} [/tex]

[tex] 157.5 = \dfrac{(n - 2)180}{n} [/tex]

[tex] 157.5n = (n - 2)180 [/tex]

[tex] 157.5n = 180n - 360 [/tex]

[tex] -22.5n = -360 [/tex]

[tex] n = 16 [/tex]

Answer: The polygon has 16 sides.

In order to find the number of sides for a regular polygon with an interior angle of 157.5°, we use the formula n = 360 / (180 - 157.5), which gives us n = 16. Hence, the polygon has 16 sides.

In mathematics, the number of sides of a regular polygon can be found if the measure of an interior angle is known. Given that the interior angle is 157.5° we use the formula for calculating the measure of an interior angle in a regular polygon:

n = 360 / (180 - 157.5)

Where 'n' represents the number of sides in the polygon. Substituting 157.5 into the formula, the calculation becomes n = 360 / 22.5. By performing the calculation, we find that n = 16. Therefore, the regular polygon with an interior angle of 157.5° has 16 sides.

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I believe that the equations answer is around 1170. The answer to the equation is 1172

Answer:

1172

Step-by-step explanation:

Hey there!

25% of 1,000

= 25% * 1,000

= 25/100 * 1,000/1

= 25 ÷ 5 / 100 ÷ 5 * 1,000/1

= 5 / 20 * 1,000/1

= 5 ÷ 5 / 20 ÷ 5 * 1,000/1

= 1 / 4 * 1,000 / 1

= 1/4 * 1,000/1

= 1(1,000) / 4(1)

= 1,000 / 4

= 1,000 ÷ 4

= 250

Therefore, your answer should be: 250

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

It's B)

Sorry... I was late

Answer:

-7m - 8 = m - 4

Step-by-step explanation:

Our original equation is

-2m - 5m - 8 = 3 + (-7) + m

Combining like terms on the left, we have

-7m - 8 = 3 + (-7) + m

Combining like terms on the right, we have

-7m - 8 = -4 + m

Writing the equation with the variable first on the right hand side, we have

-7m - 8 = m - 4

$1.99/12

hope this helps

Hi, here is the solution...

Part B)

The Navy Pier Ferris has the circumference is 56% of the circumference of the first Ferris wheel.

The Navy Pier Ferris Circumference = 439.6 feet

Let's assume "x" be circumference of first Ferris wheel.

56% of x = 439.6

0.56 x = 439. 6     [56% = 0.56]

x = 439.6/0.56

x = 785.

Therefore, the circumference of the first Ferris wheel is  785.

It is diameter = 785/3.14 = 250 feet

So it is radius = 250/2 = 125 feet.

Part C)

The circumference = 785 feet

Speed = Distance/Time

Speed = 785/9

Speed = 87.2 feet per minute.

That's it. Hope you will understand the steps.

Thank you. :)

Let us assume Brian's one item cost = $ x.

Chris one item cost is $2.50 more than Brian’s items each cost.

Therefore, Chris one item cost is = $(x+2.50).

Total cost of Brian's 4 items = 4*x = 4x.

Total cost of Chris's 3 itmes = 3*(x+2.50) =3(x+2.50)

It is said that Brian and Chris both paid the same amount of money.

Therefore,

Total cost of Brian's 4 items = Total cost of Chris's 3 itmes.

a) We can setup an equation now,

b) Let us solve above equation for x.

4x = 3(x+2.50)

distributing 3 over (x+2.50), we get

4x = 3x + 7.50.

Subtracting 3x from both sides we get

4x-3x = 3x-3x =7.50.

Therefore, the cost of one of Brian's items = $7.50.

Chris one item cost is $2.50 more than Brian’s items each cost.

Chris one item cost is = 7.50 +2.50 = $10.00.

c) Plugging x=7.50 in the equation we get to check the solution.

4x = 3(x+2.50)

4(7.50) = 3(7.50+2.50).

30 = 3(10.00)

30=30.

Therefore, solution x=7.50 is correct.

Answer:

Brians is $7.50 and chris is $10.00!

I'm sorry I don't have the math but I submitted the assignment and got a 100!

You would add up all the food items total, and then compare that to only the fruit. so the total number is 21, and the number of fruit is 6. So the ratio should be 6:21

fruit:total food items

I believe that this is the answer, but I am not 100% sure

10x0.25=2.50-4.90=2.40/.010= 24

24 dimes

Answer:

D)0.25 • 10 + 0.1 • d = 4.90

Step-by-step explanation:

p^2+6p+9=0

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

b^2−4(ac)

Substitute in the values of

a, b, and c.

6^2−4(1⋅9)

Evaluate the result to find the discriminant.

36-4(9)

36-36

0

The discriminant of the quadratic equation p²+6p+9=0 is zero, suggesting that it has exactly one real, repeated solution.

The discriminant of the quadratic equation p²+6p+9=0 is calculated using the formula D=b²-4ac, where a, b, and c are the coefficients of the quadratic equation ax²+bx+c=0. In this equation, a=1, b=6, and c=9. Substituting these values into the discriminant formula gives us:

D = b² - 4ac

D = (6)² - 4(1)(9)

D = 36 - 36

D = 0

The discriminant is zero, which indicates that the quadratic equation has one real, repeated solution, meaning the parabola touches the x-axis at a single point.

Answer:

I think you need to put more info

Step-by-step explanation:

Answer: Option D. x>=3   or   x<=-5

Solution:

3x+4>=13 or 2x-1<=-11

3x+4-4>=13-4   or   2x-1+1<=-11+1

3x>=9   or   2x<=-10

3x/3>=9/3   or   2x/2<=-10/2

x>=3   or   x<=-5

Answer:

D

Step-by-step explanation:

A P E X

Answer:

greater

Step-by-step explanation:

bc 2/5 x 20 ( which makes the denominator 100) makes 2/5 —> 40/100.

The water is rising at a rate of 1/3 foot per hour. That means it will take 3 hours to fill 1 foot. Now multiply 3 times 4, because it takes 3 hour for every foot. That equals 12. That means it will take Natasha 12 hours to fill the 4 foot pool. Hope that helps!

The correct answer is [tex]y=3x-8[/tex] as shown by the green line on the graph attached to this answer.

You would solve the problem by substituting 9 for x in the equation f(x) = 50(0.952)^x. After calculating it, the estimated number of feral cats in 9 years is 32.

The function given is f(x) = 50(0.952)^x, which models a declining feral cat population. To find out how many feral cats there will be in 9 years, plug in 9 for x in the formula: f(9) = 50(0.952)^9. Upon calculation, this equals approximately 32, hence, there would be about 32 feral cats after 9 years.

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The model f(x) = 50(0.952)x is used to predict the declining feral cat population over time. By substituting x = 9, we can predict there will be about 32 feral cats in 9 years.

The function f(x) = 50(0.952)x describes the declining population of feral cats over years. To determine the number of feral cats in 9 years, we substitute x = 9 in the function.

Therefore, f(9) = 50 * (0.952)9.

When you compute this, you get approximately 32, so at the end of 9 years, we expect about 32 feral cats.

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x + y = 20

30x + 25y = 550

Using the first equation, we can find a temporary value of x.

x = 20 - y

Now that we have a value of x, we can plug it into the second equation to find the exact value of y.

30x + 25y = 550

30(20 - y) + 25y = 550

Distributive property.

600 - 30y + 25y = 550

Combine like terms.

600 - 5y = 550

Add 5y to both sides.

600 = 550 + 5y

Subtract 550 from both sides.

50 = 5y

Divide both sides by 5.

y = 10.

Now we can plug the value of y into the original equation to find the value of x.

10 + x = 20

Subtract 10 from both sides.

x = 10

The value of x is equal to 10, and the value of y is also equal to 10.

solution is (x, y ) = (10, 10)

given

x + y = 20 → (1)

30x + 25y = 550 → (2)

from (1) y = 20 - x → (3)

substitute y = 20 - x in (2)

30x + 25(20 - x) = 550

30x + 500 - 25x = 550

5x + 500 = 550 ( subtract 500 from both sides )

5x = 50 ( divide both sides by 5 )

x = [tex]\frac{50}{5}[/tex] = 10

substitute x = 10 in (3) : y = 20 - 10 = 10

thus x = 10, y = 10 is the solution

[tex]3(x-3)-4x\geq-3\\\\3x-9-4x\geq-3\\\\-x\geq6\\\\x\leq-6[/tex]

5:00 practice - 20 minute walk - 60 minutes in science lab - 10 minutes to get ready for the lab.

5:00 - 90 minutes

3:30 for class end time

Answer: x = -2

Step-by-step explanation:

vertical line means it will be x = ___

Set the x-values equal to each other and solve for x.

3 - 2x = x + 9

   +2x +2x    

3        = 3x + 9

-9                -9

-6       =3x

    [tex]\frac{-6}{3} = \frac{3x}{3}[/tex]

     -2 = x

The line passing through the points F(3−2x, 12) and G(x+9, 7) will be vertical if x = -2

For two points (X₁, Y₁) and (X₂, Y₂) to form a vertical line, the x-coordinates must be equal

The given points are F(3-2x, 12) and G(x+9, 7)

X₁ = 3 - 2x

X₂ = x + 9

For the points to form a vertical line:

X₁  =  X₂

3  -  2x    =  x   +  9

Collect like terms

x  +  2x   =  3   -  9

3x    =   -6

Divide both sides by 3

3x / 3  =  -6/3

x    =   -2

The line passing through the points F(3−2x, 12) and G(x+9, 7) will be vertical if x = -2

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Remember to follow the FOIL method.

Note that: FOIL = First, Outside, Inside, Last.

Multiply

First: (3x)(x) = 3x²

Outside: (3x)(-7) = -21x

Inside: (2)(x) = 2x

Last: (2)(-7) = -14

-------------------------------------------------------------------------------------------------------------

3x² -21x + 2x -14

Combine like terms

3x² (-21x + 2x) - 14

3x² - 19x - 14

3x² - 19x - 14 is your answer

~Rise Above the Ordinary

The expression you would use is 15 + .65x = 80. If you solve for x, Beth swam 100 laps.

Hope its correct and good luck :)

In order to get your answer add 8.1 + 4.9 = 13. Then to double check subtract 13 by 8.1 which equals 4.9. Hope this helps!

We can round 29 up to 30, and 309 up to 310. This gives us a rough estimate of about  9,300.

The scale factor would be 0.5 or 1/2

Answer:

7 days

Step-by-step explanation:

First let's start with the wheat. If you know that there is 75 acres of wheat, and you can harvest 12 acres in one day, all you have to do is 75 divided by 12.

This would get you at 6.25, but a whole day would be 7.

Corn, you know that there is 62.5 acres. Same thing, you do 62.5/10, and will get you around 7 again.

greater is Mary, lesser is tom