A swimming pool sets a maximum number of swimmers that can be in the pool based on the number of lifeguards on duty.

The points on the following coordinate plane show the maximum number of swimmers that can be in the pool when 2, 4, and 5 lifeguards are on duty.


What is the maximum number of swimmers that can be in the pool with 3 lifeguards on duty?

Answer:

3/2

Step-by-step explanation:

If you want to get the coefficient of x to be 1, you multiply by the reciprocal of the coefficient. The reciprocal is 3/2, so you multiple by 3/2

Answer:

16

Step-by-step explanation:

simplify

2(9) - 2

18 - 2

16

Answer:

1:2:3

Step-by-step explanation:

The ratio 20:40:60 is simplified by dividing each number by the greatest common divisor (GCD), which is 20, giving us the simplest form of the ratio as 1:2:3.

To write a ratio in simplest form, you have to find the greatest common divisor (GCD) of the numbers and then divide all numbers by the GCD. In the ratio 20:40:60, the GCD is 20. Therefore, when you divide each number of the ratio by the GCD you get 1:2:3. So, the ratio 20:40:60 in its simplest form is 1:2:3.

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Answer:

=-372a^2-384a

Step-by-step explanation:

6a^2-378a^2-384a

=-372a^2-384a

Answer:

any other info pls tell me

Step-by-step explanation:

Answer:the answer is yes

Step-by-step explanation:

Answer:

First lets find the solutions to each inequality.

-2x[tex]\geq \\[/tex]10 and -2x>10 (divide both sides by -2 to solve)

x[tex]\leq[/tex]-5 and x<-5

x[tex]\leq[/tex]-5 tell us that x could be -5 or less.

x<-5 tells us that x could be -6 or less.

The first one is less than or equal to which tells you that there is a possibility that the number is shows is could be an answer

Hope this helps ;)

Answer:

5 times 12 = 12 times 5

Step-by-step explanation:

You flipped the factors since they were the same. 5 times 12 = 60 when you flip the factors 12 times 5 = 60

Answer:

VERTICLE AXIS IS THE ANSWER

Step-by-step explanation:

BRAINLIEST PLEASE????

Answer:

Dependent Variable

Step-by-step explanation:

Answer:

Sample 1: 1.5

Sample 2: -2.5

Sample 3: 5.5

Step-by-step explanation: I just did it

Answer:

(3, 4.6)

Step-by-step explanation:

Took the test on edge.

Answer:

28 inches

Step-by-step explanation:

2 x 4=8

8-4=4

4 x 5 = 20

20+8=28

area of the x and w rectangle is 8

area of the y and z rectangle is 20

Given:

Given that the height of the pyramid is 12 units.

The base of the triangle is 8 units.

The height of the triangle is 6 units.

We need to determine the volume of the pyramid.

Area of the triangle:

The area of the triangle can be determined using the formula,

[tex]A=\frac{1}{2} bh[/tex]

where b is the base of the triangle and h is the height of the triangle.

Substituting the values, we get;

[tex]A=\frac{1}{2}(8)(6)[/tex]

[tex]A=\frac{1}{2}(48)[/tex]

[tex]A=24[/tex]

Thus, the area of the triangle is 24 square units.

Volume of the pyramid:

The volume of the pyramid can be determined using the formula,

[tex]V=\frac{1}{3}AH[/tex]

where A is the area of the triangle and H is the height of the pyramid.

Substituting the values, we get;

[tex]V=\frac{1}{3}(24)(12)[/tex]

[tex]V=\frac{1}{3}(288)[/tex]

[tex]V=96[/tex]

Thus, the volume of the pyramid is 96 cubic units.

Answer:

Step-by-step explanation:

Given a parallelogram with points

X(4, 0)

W(0, -1)

Y(3, -2)

Z(-1, -3)

We want to find the perimeter, perimeter is the total sum of the lengths

So, we need to find the length of the sides using distance between two points

D = √(x2-x1)² + (y2-y1)²

So, applying this

WX = √(0-4)²+(-1-0)² = √(16 + 1) = √17

XY = √(4-3)² + (0--2)² = √(1+4) = √5

Since the opposite sides of a parallelogram are equal, we don't need to find the other length

Then,

Perimeter = 2(WX + XY)

Perimeter = 2(√17 + √5)

Perimeter = 2√17 + 2√5

The correct answer is B.

Work Shown:

a = x, b = 3, c = 4

a^2 + b^2 = c^2  ... pythagorean theorem

x^2 + (3)^2 = (4)^2

x^2 + 9 = 16

x^2 = 16 - 9

x^2 = 7

x = sqrt(7)

x = 2.64575131106459

x = 2.6

In a right triangle with one leg of length 3, the other leg of length 4, and the hypotenuse of length x, the Pythagorean theorem formula (3² + 4² = x²) gives the length of x as √25, or 5 units.

In Mathematics, a right triangle has one angle that is a right angle (90 degrees). In these triangles, the Pythagorean theorem applies, which says that the square of the length of the longest side (hypotenuse) is equal to the sum of squares of the other two sides (legs).

If x is a leg of the triangle, then its length can be found by rearranging the Pythagorean theorem formula. If the length of one leg is 3, the other is 4, and the length of the hypotenuse is x, then the equation is: 3² + 4² = x².

That simplifies to 9 + 16 = x², and further to x² = 25. Taking the square root of both sides gives us the length of x as 5 units.

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Answer:

i can help!

Step-by-step explanation:

all you have to do is first add all the # after you should be left with 2 # multiply them together and there you have your answer!

Answer:

13 units

Step-by-step explanation:

Use the pythagorean theorem and find the hypotenuse.

a^2 + b^2 =c^2  

Draw the triangle by connecting the dots so you can see the legs.

one leg is 8 units and one leg is 10 units

8^2 + 10^2 = c^2

64 +100= c^2

164 = c^2

Find the square root of 164 which is 12.8. Round to 13

Answer:the answer is D

Step-by-step explanation:

The correct solution of the expression is,

⇒ log (125u³v⁶ / w⁹)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3 log (5uv²/w³)

Now, We can simplify by the definition of logarithmic function as;

⇒ 3 log (5uv²/w³)

⇒ log (5uv²/w³)³

⇒ log (125u³v⁶ / w⁹)

Thus, The correct solution of the expression is,

⇒ log (125u³v⁶ / w⁹)

Learn more about the mathematical expression visit:

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Answer:

153.94

Step-by-step explanation:

Let w represent width of the pathway.

We have been given that a rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it.

Since pathway will be on all sides, so new length and width of garden with pathway would be [tex]13+2w[/tex] by [tex]15+2w[/tex].

We are also told that there is enough gravel to cover 80 square meters. This means that area f pathway should be equal to 80 square meters.

The area of the pathway will be equal to area of garden with new dimensions minus area of garden with original dimensions.

We know that area of rectangle is width times length.

[tex]\text{Area of pathway}=(15+2w)(13+2w)-15(13)[/tex]

Since we are asked to write an inequality that represents all possible widths(w), in meters, of the pathway, so area of pathway should be less than or equal to 80 square meters.

[tex](15+2w)(13+2w)-15(13)\leq 80[/tex]

Therefore, our required inequality would be [tex](15+2w)(13+2w)-15(13)\leq 80[/tex].

Answer:

4 participants

Step-by-step explanation:

The name of the chart is "Participants PER race"

That means they tall you how many people did the race now all you gotta do is, Count up the numbers more than 61- So look at the 6 in the "stem" portion

it has 67, 67 they are both more than 61

Then look at the next "stem" number- 7

that has 74 which is more than 61 but less than 85

Then we look at the 8 in the "stem" it has three numbers- 84, 86, 89

but 86 and 89 are more than 85 so 84 is the only one which will go through

So the numbers are: 67, 67, 74, and 84

Thus 4 participants

I hope this explained it!

Answer:

D) 7.5 mi/h. hcbhcvu yc yv. y yv yh

Answer:

D

Step-by-step explanation:

7.5

Answer:

B. 4

Step-by-step explanation:

The sign [tex]\geq[/tex] means greater than or equal to

The sign > just means greater than

4 is a solution for x [tex]\geq[/tex]4, because 4 is equal to 4, but not a solution for x>4, because 4 is not greater than 4

Hope this helps! :)

Answer:

~102 per square mile.

Step-by-step explanation:

9883640 divided by 96,716 is 102.19 so rounding down to 102.

Answer: root13/13

Step-by-step explanation:

Answer:

root13/13

Step-by-step explanation:

Answer:

188.23 ft

Step-by-step explanation:

8.33ft x 6.75ft

56.23ft

now add the other room

56.23ft+132ft

The total area of the two rooms is..

188.23 ft

Answer:

33pi or 103.62 square units

Step-by-step explanation:

central \: angle \: ( \theta)  \\ =  \frac{11}{6}  {\pi}^{c}  = \frac{11}{6} \times 180 \degree = 330 \degree  \\  \\ area \: of \: sector  \\ =  \frac{ \theta}{360 \degree}  \times area \: of \: circle \\  \\  = \frac{ 330 \degree}{360 \degree}  \times 36 \: \pi \\  \\  = \frac{ 330 }{10 } \pi \\  \\  =  \red{ \bold{33\pi}} \:  {units}^{2}  \\  = 33 \times 3.14 \\  = 103.62 \: {units}^{2}  \\

Answer:

enervsorry it glitched, but the expected value would be 50  

Step-by-step explanation:

Let

L--------> the length of the rectangle

y------> the width of the rectangle

x------> the perimeter of the rectangle

we know that

The perimeter of the rectangle is equal to

In this problem we have

For a width  

Find the value of the perimeter

so

therefore

the answer is the option A

No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y. .