An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.

Answer:

domain: 2x+1 not equal to zero, then x not equal to -1/2

Set 2x+1>0

then x>-1/2

100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)

100^(3-4x)<=0.01^(5x-8)

(10^2)^(3-4x)<=[10^(-2)]^(5x-8)

10^[2*(3-4x)]<=10^[(-2)*(5x-8)]

10^(6-8x)<=10^(16-10x)

6-8x<=16-10x

2x<=10

x<=5

combine x>-1/2 and x<=5

then - 1/2<x<=5

Set 2x+1<0

then x<-1/2

100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)

100^(3-4x)>=0.01^(5x-8)

(10^2)^(3-4x)>=[10^(-2)]^(5x-8)

10^[2*(3-4x)]>=10^[(-2)*(5x-8)]

10^(6-8x)>=10^(16-10x)

6-8x>=16-10x

2x>=10

x>=5

combine x<-1/2 and x>=5

, then x does not exist while 2x+1<0

so answer is - 1/2<x<=5

Answer:

i need the answer to pleasee... asnwer this question

a is answer please tell brinlest answer

Answer:

17

Step-by-step explanation:

Given

3n - 4 = 8 ( add 4 to both sides )

3n = 12 ( divide both sides by 3 )

n = 4

Thus

5n - 3 = 5(4) - 3 = 20 - 3 = 17

Answer:

Jamal has the the better record

Answer:

This is the sample response from Edge

Step-by-step explanation:

Jamal has the better record because his record is 0.7 and Brian’s record is 0.625. Jamal made more free throws.

Answer:

c

Step-by-step explanation:

Answer:

There would be 500 pages.

Answer:

24%

Step-by-step explanation:

Step 1: Shift the decimal point two places to the right: 0.24 → 2.4→ 24.

Step 2: Add a percent sign: 24%

and that's how you get your answer

The .24 written as a percent is 24%.

To convert .24 to a percent, multiply it by 100.

.24 ×100 = 24

When we express a number as a percent, it represents a proportion out of 100. In this case, .24 as a percent means that .24 is equivalent to 24 out of 100 or 24%. The percent symbol (%) indicates that the number is being represented as a fraction of 100. This can be interpreted as .24 representing 24 parts out of 100, or 24 hundredths.

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Answer: x=−1

Step-by-step explanation: hope this helps!

Answer:

whats the question here

Step-by-step explanation:650 rent

Answer:

 Slope = 3

 x-intercept = 5/3 = 1.66667

 y-intercept = 5/-1 = -5.00000

Step-by-step explanation: Notice that when x = 0 the value of y is 5/-1 so this line "cuts" the y axis at y=-5.00000

 y-intercept = 5/-1  = -5.00000

When y = 0 the value of x is 5/3 Our line therefore "cuts" the x axis at x= 1.66667

 x-intercept = 5/3  =  1.66667

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -y+3x-5  = 0 and calculate its properties

Answer: your picture doesnt have all the options for the answer but the first two are incorrect. The correct one would have both little dots filled in with black

Step-by-step explanation:

Answer: 3 ≤ x ≤ 7

Step-by-step explanation:

The number line will have a filled in circle at 3 and a filled in circle at 7.

A filled in circle indicates that the number IS a solution.

An open circle indicates that the number is NOT a solution.

Hope this helps!

Answer:

I am terrified of the Teletubbies. I always have been, I even hated it as a young child. (I'm 15 now) I still love Blues Clues though. Still slaps.

Step-by-step explanation:

Answer:

tramuatized

Step-by-step explanation:

teletubies are h e l l a wierd

Answer:

Carina make an error because her solving problem, Carina should have subtracted 3.40 from 5.27.

Answer:

Carina should have subtracted 3.40 from 5.27

Step-by-step explanation:

i took the quiz, hope this helps<3

Answer:

There were 6 reserved tickets, 3 field level tickets and 1 box seat tickets

Step-by-step explanation:

Let x represent the number of reserved tickets, y represent the number of field level tickets and z represent the number of box seat tickets.

Given that 10 total tickets were bought for $370, hence this can be represented by the equation:

20x + 50y + 100z = 370          (1)

x + y + z = 10        (2)

Also there was twice as many reserved tickets as field-level tickets. This can be represented by the equation:

x = 2y

x - 2y = 0             (3)

solving equations 1, 2, and 3 simultaneously gives:

x = 6, y = 3 and z = 1

There were 6 reserved tickets, 3 field level tickets and 1 box seat tickets

Answer:

X=30

Step-by-step explanation:

The answer is X=30

Answer:

area of rectangle =length multiplyed by breath

4x multiplied by x=26.8

4x²=26.8

x²=26.8 divided by 4

x²=6.7

x=2.59

Answer:

Part A-

Answer- f(x) is the profit made from selling 'x' number of salads.

Part B-

Question- Identify and interpret the key features of the function in the context of the situation you described in part A.

Answer-

End behavior- As 'x' approaches 25, f(x) approaches 20. As 'x' approaches 1, f(x) approaches 4.

Domain- 1, 4, 9, 16, 25

Range- 4, 8, 12, 16, 20

x and y- intercepts- None

Maximum- 20

Minimum- 4

Step-by-step explanation:

Mark as brainliest please :)

Answer:

4-(2x+5) = 1/2(-4x-2)

4-2x-5=-2x-1

-1-2x-=-2x-1

Infinite solution

Step-by-step explanation:

Branliest pls

Answer:

Step-by-step explanation:

Given  x^2 - 16x + 60 = -12

Using the completing the square method to find x;

subtract 60 from both sides

x2 - 16x + 60-60 = -12-60

x2 - 16x  = -72

Add square of the half of the coefficient of x to both sides

x2 - 16x + (1/2(-16))²  = -72 +  (1/2(-16))²

x^2 - 16x +64 = -72+64

(x-8)² = -8

Take the square root of both sides

√(x-8)² = √-8

x - 8 = ±√8i

x =  ±√8i+8

x =  ±2√2i+8

The solution of the given equation is:  [tex]x = 8+\sqrt{-8}[/tex]  and  [tex]\\x = 8-\sqrt{-8}[/tex].

Given that:

Equation:  [tex]x^2 - 16x + 60 = -12[/tex]

Simplify the above equation as:

x² - 16x + 60 = -12

x² - 16x = -12 - 60

x² - 16x = -72

Add 64 to each side of the equation to complete the square.

x² - 16x + 64 = -72 + 64

x² - 16x + 64 = -8

Write x² - 16x + 64 as (x - 8)² since it is a perfect square trinomial.

(x - 8)² = -8

Take the square root of both sides to get the solutions.

[tex]x - 8 = \±\sqrt{-8}\\x = 8\±\sqrt{-8}\\x = 8+\sqrt{-8}\\x = 8-\sqrt{-8}[/tex]

where i is the imaginary unit.

Hence, the value of x are:  [tex]x = 8+\sqrt{-8}[/tex]  and  [tex]\\x = 8-\sqrt{-8}[/tex].

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Answer:

i hope this helps

Step-by-step explanation:

ggbsus dvrjsjagaubs don't mind this

Answer:

[tex]\frac{23}{4}[/tex] feet

Step-by-step explanation:

The depth of the fish to the surface of water at 1:00 pm = 2 [tex]\frac{1}{2}[/tex] feet

                                                                             =   [tex]\frac{5}{2}[/tex] feet

The depth of the fish to its initial position at 4:00 pm = 3 [tex]\frac{1}{4}[/tex] feet

                                                                              = [tex]\frac{13}{4}[/tex] feet

The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm

                                        =  [tex]\frac{5}{2}[/tex] + [tex]\frac{13}{4}[/tex]

                                        = [tex]\frac{10 + 13}{4}[/tex]

                                         = [tex]\frac{23}{4}[/tex]

The position of the fish with respect to the water's surface at 4:00 pm is [tex]\frac{23}{4}[/tex] feet.

The constant of proportionality is the slope.

The slope is the change in Y over the change in x. (Y2 -y1) / (x2 -x1)

From a table use two set of values (x,y) subtract two y values from each other and then subtract the two corresponding x values from each other. Depending on the size of the table it’s a Leah a good idea to use the first and last set of values from the table.

From a graph locate two points on the line that you can get an accurate x and y value and subtract the two y values and the two x values: (y2 -y1) / (x2-x1).

From a written description there should be a reference two two different points, using the two referenced point subtract them like in the directions given above.

The image of the triangle is missing, so i have attached it.

Also, the options are;

A) The apothem can be found using the Pythagorean theorem.

B) The apothem can be found using the tangent ratio.

C) The perimeter of the equilateral triangle is 15 cm.

D) The length of the apothem is approximately 2.5 cm.

E) The area of the equilateral triangle is approximately 65 cm².

Answer:

Options A, B & D are true

Step-by-step explanation:

A) We are told that the triangle is an equilateral triangle.

Thus, the 3 sides equal 8.7 cm.

Now from the image, b is half of one of the sides.

Thus, b = 8.7/2 = 4.35 cm

Now, we want to find the apothem "a".

Using Pythagoras theorem, we have;

a² + 4.35² = 5²

a² = 25 - 18.9225

a² = 6.0775

a = √6.0775

a ≈ 2.5 cm.

Thus, option A is true as pythagoras theorem was able to calculate the apothem "a"

B) since the main triangle is equilateral, it means each angle is 60°.

Now,the radius line from one corner point to the centre will divide the 60° angle into 2 equal parts.

Thus, the angle made by the radius line with the base of the triangle is 60/2 = 30°

Now,from tangent ratios, we know that;

Opposite/Adjacent = tan θ

In the small triangle, opposite is apothem "a" while adjacent is b = 4.35 cm

Thus;

a/4.35 = tan 30

a = 4.35 tan 30

a ≈ 2.5 cm.

Thus, option B is correct as Tangent ratio can be used to find the apothem

C) The perimeter of equilateral triangle = 3x

Where x is length of one side.

One side is 8.7 cm

Thus, perimeter = 3 × 8.7 = 26.1 cm

Thus option C is not correct.

D) From calculations above, we saw that in both options A & B, the apothem is approximately 2.5 cm.

Thus, option D is true.

E) Area of triangle is;

A = ½ × base × height

Base = 8.7 cm

To get height, we will use trigonometric ratio. Thus;

h/8.7 = sin 60°

h = 8.7 sin 60°

Thus;

A = ½ × 8.7 × 8.7 sin 60°

A = 32.77 cm²

Thus is not equal to 65 cm². Thus, option E is not correct.

Answer:

A, B, D

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

All the correct conclusion from her work are,

1) The scenario is represented by a linear function, since the rate of change is constant.

2) The berries are picked at a constant rate of 53 per hour.

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given that;

Rachel found the following rate of change for the scenario represented in this table.

Now, By the given table,

Rate of change to picked berries = (181 - 128) / (5 - 4)

                                                   = 53 / 1

                                                   = 3

Which is similar in all given values.

Hence, We can conclude that;

The scenario is represented by a linear function, since the rate of change is constant.

And, The berries are picked at a constant rate of 53 per hour.

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Answer:

7×=5 ×=5/7

Step-by-step explanation: