Pam and her brother both open savings accounts. Each begins with a balance of zero dollars. For every two dollars that Pam saves in her account, her brother saves five dollars in his account. 1. Determine a ratio to describe the money in Pam’s account to the money in her brother’s account.

The circumference of the outer edge of the path around the pool is 113.04 ft.

The Circumference (or) perimeter of circle = 2πR. where, R is the radius of the circle.

Given

A circular swimming pool has a radius of 15 ft.

There is a path all the way around that pool that is three feet wide.

A circle has a radius of 15 feet.

A larger circle goes around the smaller circle that is 3 feet wide.

The radius of the outer edge of the path around the pool = Radius of circle + width of outer circle.

The radius of the outer edge of the path around the pool = 15 + 3

The radius of the outer edge of the path around the pool = 18ft

The circumference of the outer edge of the path around the pool is;

[tex]\rm Circumference=2\pi r\\\\Circumference = 2\times 3.14 \times 18\\\\Circumference=113.04 \ ft[/tex]

Hence, the circumference of the outer edge of the path around the pool is 113.04 ft.

To know more about circumference click the link given below.

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Answer:

2/4a-4

Step-by-step explanation:

dividing 2/4a-4 is =1/2a-4

Answer:

[tex]x = \frac{ - 4 \frac{ + }{} \sqrt{ - 16} }{2} \\ \\ x = \frac{ - 4}{2} \frac{ + }{} \frac{ \sqrt{ - 16} }{2} \\ \\ x = \frac{ - 4}{2} \frac{ + }{} \frac{ \sqrt{16} \sqrt{ - 1} }{2} \\ \\ x = \frac{ - 4}{2} \frac{ + }{} \frac{4i}{2} \\ \\ x = - 2 \frac{ + }{} 2i[/tex]

x = – 2 + 2i , x = – 2 – 2i

Answer:

m < 1 = 35

Step-by-step explanation:

this is because the lines are parallel therefore m<5=m<1

Answer: 8/9

Step-by-step explanation:

First, we can find a common denomiator.

The least common multiple of 2, 9, and 6 is 18.

Therefore, the lcd is 18.

1/2 = 1/2 * (9/9) = 9/18

2/9 = 2/9 * (2/2) = 4/18

1/6 = 1/6 * (3/3) = 3/18

Therefore, 1/2 + 2/9 + 1/6 = 9/18 + 4/18 + 3/18.

We can add the numerators together.

= 16/18

Divide the nuumerator and denominator by 2:

= 8/9

Answer:

1) 12 cm
2) 20 cm

Step-by-step explanation:

Those are my guess but it is simple math just take the cm of the flag for the length and width and multiple the cm by the 4 to get the answer hope it helps

Answer:

x = 24; x = 25

Step-by-step explanation:

Question 1

x/4 = 6

x = 24  *multiply both sides by the denominator to isolate the x value

Question 2

x/2 = 12.5

x = 25 *multiply both sides by the denominator to isolate x

Answer: I believe the answer you're looking for is -66.

Step-by-step explanation:

(-15) / (-1.25) = 12.

12 x 4 1/2 = 54

54 - 120 = -66.

Hope this helps!

Answer:

Step-by-step explanation:

[tex]( - 15) \div ( - 1.25) \: . \: 4 \frac{1}{2} - 120 \\ = \frac{ (- 15)}{( - 1.25)} \: . \: 4 \frac{1}{2} - 120 \\ = \frac{( - 15) \times 100}{( - 1.25) \times 100} \: . \: 4 \frac{1}{2} - 120 \\ = \frac{ - 1500}{ - 125} \: . \: 4 \frac{1}{2} - 120 \\ = 12 \: . \: \frac{9}{2} - 120 \\ = 6 \: . \: 9 - 120 \\ = 54 - 120 \\ = ( - 66) \\ [/tex]

Answer:

$ 204

Step-by-step explanation:

f(x)=8(x-2)

if i did this right then you would substitute 30 in for x------------8 (30-2) - 20

next you would multiply 8 times 30 and 8 times -2 and you would get 240-16-20

then you would subtract and get....................... 204

hope this helps if not then pls know that i tried

Answer:

I don't clearly understand your question pls can you rearrange it to a simpler form

Answer:

yo I'm looking for the same answer I need it ASAP before Friday

Answer:

X = 10

Step-by-step explanation:

if we say 1/2 base = a

a² = 13² - 12²

a² = 25

a = √25

a = 5

if 1/2 base = 5 then x = a × 2

hence X = 5 × 2 = 10

Answer:

i dont understand either

Step-by-step explanation:

A normally distributed set of data has been generated where 50% of the data lies below 97 and 70% lies below 104. Then, mean of the data is equal to 97 and standard deviation is equal to 13.358.

Normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Given that 50% of the data lies below 97, implies that median of the data is equal to 97. In a normal distribution, mean = median = mode, therefore, mean = 97.

Given the mean and value at 70th percentile, we can find the standard deviation.

Using the z score - percentile table, we find that the z score corresponding to the given percentile.

z score corresponding to 70th percentile = 0.524

[tex]0.524 = \frac{x - mean}{standard\ deviation}\\ \\0.524 = \frac{104 - 97}{standard\ deviation} \\\\standard\ deviation = \frac{7}{0.524} = 13.359[/tex]

Learn more about normal distribution here

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Answer:

5 people

Step-by-step explanation:

1/10 meaning for every 10 people there will be 1 person with red hair.

50 people is 10×5=50

also do it to the 1: 1×5=5

then we get a ratio of 5/50

5/50 reduced is still 1/10

Answer:

see below

Step-by-step explanation:

given function: [tex]Cos(x)=\frac{1}{3}[/tex]

Cosine - (In a right triangle, the ratio of the length of the adjacent side to the length of the hypotenuse.)

#1: Take the inverse cosine of both sides of the equation to extract [tex]x[/tex] from inside the cosine.

[tex]x=arccos\frac{1}{3}[/tex]

#2: Evaluate

[tex]x=1.23095941[/tex]

#3: The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from [tex]2[/tex]π to find the solution in the fourth quadrant.

[tex]x=2(3.14159265)-1.23095941[/tex]

#4: Simplify the equation above.

- Multiply [tex]2[/tex] by [tex]3.14159265[/tex]

[tex]x=6.2831853-1.23095941[/tex]

- Subtract [tex]1.23095941[/tex] from [tex]6.2831853[/tex]

[tex]x=5.05222588[/tex]

#5: Find the period.

- The period of the function can be calculated using [tex]\frac{2\pi }{|b|}[/tex].

[tex]\frac{2\pi }{|b|}[/tex]

- Replace [tex]b[/tex] with [tex]1[/tex]  in the formula for period.

[tex]\frac{2\pi }{|1|}[/tex]

#6: Solve the equation.

- The absolute value is the distance between a number and zero. The distance between [tex]0[/tex] and [tex]1[/tex] is [tex]1[/tex].

[tex]\frac{2\pi }{1}[/tex]

- Divide [tex]2\pi[/tex] by [tex]1.[/tex]

[tex]2\pi[/tex]

The period of the [tex]cos(x)[/tex] function is [tex]2\pi[/tex] so values will repeat every [tex]2\pi[/tex] radians in both directions.

[tex]x=1.23095941+2\pi n,5.05222588+2\pi n[/tex], for any integer [tex]n[/tex]

Answer:  14cm

Step-by-step explanation:

The diameter of a circle is twice the radius.

Therefore, the diameter = 2*7 cm = 14cm

Answer:

14 cm

r=7

d=2r

d=2×7

d=14

Step-by-step explanation:

please mark me as brainlest

Answer:

My answer would be Frothy-five thousand and one hundred (45,100).

Step-by-step explanation:

Answer:

[tex]\displaystyle 3x - y = 19\:or\:y = 3x - 19[/tex]

Step-by-step explanation:

Plug the information into the Slope-Intercept Formula:

[tex]\displaystyle 5 = 3[8] + b \hookrightarrow 5 = 24 + b; -19 = b \\ \\ y = 3x - 19[/tex]

Suppose you need to write this equation in standard form. You would follow these procedures:

y = 3x - 19

- 3x - 3x

__________

[tex]\displaystyle -3x + y = -19[/tex]

*Now, you can leave the standard equation like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.

[tex]\displaystyle \boxed{3x - y = 19}[/tex]

I am joyous to assist you at any time.

Answer:

F

Step-by-step explanation:

75.00-67.50 is 7.5

8-6 is 2

7.5/2 is 3.75

Answer:

Its A women

Step-by-step explanation:

There are 675 different combinations.

The number of combinations is given by the product between the numbers of options.

So the total number of different combinations is just given by:

C = 15*15*3 = 675

There are 675 different combinations.

If you want to learn more about counting, you can read:

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Answer:

4 years

Step-by-step explanation:

Sara saved $16,000 for a new car that costs $10,500, plus $1200 each year for insurance.

Let the number of years she can pay for insurance be written as: x

$10,500 + $1200 × x = $16,000

$1200 × x = $16,000 - $10,500

x = $5,500/1200

x = 4.5833333333 years

Since the number of years is in decimal, we would pick the whole number there as the maximum number of years.

Therefore, the maximum number of years, x, she could pay insurance with her current savings is 4 years.

Answer:

a. = 30

c. = 29

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

g(5)=6

Step-by-step explanation:

g(5)=(5)(2)-4

g(5)=10-4

g(5)=6

Answer:

Isn't it 18?

Step-by-step explanation:

Because you need to add 4 and 2 then multiply it with 3?

Answer:

The answer is 41,472

Step-by-step explanation:

We know, that when you find the area of a quadrilateral(4 sided figure) we multiply all of the sides together.

Answer:

3 feet

Step-by-step explanation:

To begin, find the width of the first painting by dividing 32 by 4. You get 8 feet as the width. Since the second painting has a width of 8, divide 24 by 8 to get the length (area of a rectangle is length times width). You get that the length of the second painting is 3 feet.

Hopefully this helps- let me know if you have any questions!