Water runs from a faucet into a bucket at a steady rate. After 4 seconds, there are 32 ounces of water in the bucket. Write an equation that shows the relationship between time and ounces of water. Use t for time in seconds and w for ounces of water.

Answers

Answer 1

9514 1404 393

Answer:

  w = 8t

Step-by-step explanation:

If we assume that the ounces of water are proportional to the time, then the equation will look like ...

  w = kt

for some constant k.

Solving for k, we find ...

  k = w/t

Using the given values, we find k to be ...

  k = (32 ounces)/(4 seconds) = 8 ounces/second

The units are stated in the definitions of the variables, so we can write the equation as ...

  w = 8t


Related Questions

Can y’all help me please

Answers

Answer:

w = 5

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)

28 = 2(2w-1 + w)

Combine like terms

28 =2(3w-1)

Divide each side by 2

28/2 = 2/2(3w-1)

14 = 3w-1

Add 1 to each side

14+1 = 3w-1+1

15 = 3w

Divide each side by 3

15/3 =3w/3

5 =w

Amy's art class is 6 hours long. How long is her class in minutes?

Answers

Answer:

360 minutes.

Step-by-step explanation:

Answer:

360 minutes

Step-by-step explanation:

The perimeter of a rectangle is 64 cm. The length is 15 cm, how wide is rectangle?

Answers

The width is 17 centimeters

Answer:

17 cm

Step-by-step explanation:

Rectangle perimeter: length*2 + width*2

Substitute width with "x".

Length is given as 15 cm

Perimeter is given as 64 cm

Plug in the values and solve for x.

64 = 2*15 + 2x

64 = 30+2x

2x = 34

x = 17

so width is 17 cm

What is the scale factor from Polygon A to Polygon B? Explain your reasoning.
B Find the missing length of each side marked with ? in Polygon B.
C Determine the measure of each angle marked with ? in Polygon A.

Answers

Answer:

for the lengths, just double the numbrrs

1.5 -> 3

2.5 -> 5

bc the scale factor is two (the upper edge is given)

the angles are just the same, no matter the zoom factor

There are two polygons where B is greater than A.

One side in polygon A has a length of 2.5 and the corresponding length in polygon B is 5.

So, the scale factor is

[tex]\dfrac{5}{2.5}=2[/tex]

So, the missing sides in polygon B are

[tex]1.5\times2=3[/tex]

[tex]2.5\times 2=5[/tex]

The angles in polygon A will be the same as B as all the sides of the polygon have changed according to the scale factor.

So, the missing sides in polygon B are 3 and 5, and the angles in polygon A are [tex]53^{\circ}[/tex] and [tex]82^{\circ}[/tex].

Learn more:

https://brainly.com/question/16315840

https://brainly.com/question/13156698

What is the slope of the line that contains the points (-2, 2) and (3, 4)?
O A.
-
5
2
B.
UIN
O c.
O D.

Answers

Answer:

2/5

Step-by-step explanation:

(-2 , 2) = (x1 , x2)

(3 , 4) = (x2 , y2)

slope = y2 - y1/x2 - x1

=4 - 2/3 - (-2)

=2/3+2

=2/5

What is the value of x?

Answers

Answer:

i think its 29

Step-by-step explanation:

180-64=116

116/2=58

58/2=29

Answer:What is the value of x?

Step-by-step explanation: x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

The cost of 5 diesels is $1025. Calculate the cost of 17diesels

Answers

To calculate the cost of 1 diesel divide the cost of 5 by 5 to get 1 or $1025/5=205
To get the cost of 17, multiply the cost of 1 which is 205x17=3,485 so 17 is $3,485

a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.​

Answers

Answer:

40 cm

Step-by-step explanation:

57600 is the volume here

Because "was filled with 57600cm of water."

- NOTE :  Volume can Never change unless There is a Subtracted amount of water That's Removed

36 x 40 x n = 57600

n = 40

Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?

Answers

9514 1404 393

Answer:

  105°

Step-by-step explanation:

The sum of measures of angles in a triangle is 180°. The third angle is ...

  180° -22° -53° = 105°

help with this please. Thanks​

Answers

9514 1404 393

Answer:

  3.0

Step-by-step explanation:

The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values

  x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3

  x ≈ 3.0

A train traveled for T = 2.0 hours at a constant speed of R = 36 miles per hour. Use the formula D = R · T to find the total distance the train traveled (in miles). Do not include the units in your answer.

Answers

Answer:  T=1700

Step-by-step explanation:

anyone know the missing angle ?

Answers

Answer:48.013

Step-by-step explanation: just found it



। Find the H.C. F. of :
x2+ 2xy+y and 3ax+3ay​

Answers

Answer:

Factorizing 4x2 - 9y2, we get

(2x)2 - (3y)2, by using the identities of a2 - b2.

= (2x + 3y) (2x - 3y)

Step-by-step explanation:

Bob has been alive for 21,900 days. How old is Bob?

Answers

Answer:

32 Years, 7 Months, 2 Days old

Step-by-step explanation:

if the coordinates are ( -1 , 5) and moved 9 units to the left what is the final answer?

Answers

Answer:

Directions: Write the new coordinates for each point or figure.

Sample Question:

Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?

Answer:

The coordinates of its image point after the translation are (-12, 0).

Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.

Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?

Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?

Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?

Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?

Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?

Answer:

(-10,5)

Step-by-step explanation:

identify EFG

Answer Options:

= 45
= 35
= 22.5
=27.5

Answers

Answer:

22.5

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

F = 1/2 (45)

<F = 22.5

Determine the time 2 hours and 7 minutes after 22:57

Answers

Answer:

01:04

Step-by-step explanation:

add 7 minutes to 22:57 to get 23:04. then add 2 hours to get to 01:04.

Graph the inequality. y ≥ |x + 5| - 3

Answers

Answer:

1

Step-by-step explanation:

Rewrite each side with a common base and solve. Round your answer to two decimal places.

3^4x=1/27

Answers

x = -3/4

Explanation:

3^(4x) = 1/27
3^(4x) = 27^(-1)
3^(4x) = 3^(-3)
4x = -3
x = -3/4

calculate the circumference of a circle with a radius of 7.5. show or explain your reasoning.

Answers

Circumference: Pie D (length of the entire shape) D= 7.5 times 2= 15 so, C= 3.14 times 15= 47.1 . So the final answer is 47.1

The missing number in the arithmetic sequence 60, 51,
33 is:
43.
41.
ОООО
40.
42.

Answers

Step-by-step explanation:

missing where ?

I guess you mean that there is one element missing between 51 and 33 (based on the readable answer options).

if that is true, then the missing element is 42.

the difference between 60 and 51 is 9.

the difference between 51 and 33 is 18.

if there is an engender missing in between 51 and 33, then it is logical to put it in the middle cutting the interval of 18 in half to 2 times 9. which is also supported by the first interval between 60 and 51 (9).

so, it would be 51 -9 = 42

Which point is a good approximation of a turning point
of the graph?
0 (-1.5,3)
0 (-0.5, -1)
0 (0,0)
O (1.0)

Answers

Answer:

(-0.5, -1)

Step-by-step explanation:

A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising)

Find the focus of the parabola whose equation is y=1/8 x^2

Answers

Answer:

The focus is: [tex](0,2)[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{1}{8}x^2[/tex]

Required

Determine the focus

The focus of a parabola

[tex](x- h)^2 = 4p(y - k)[/tex]

is:

[tex](h,k+p)[/tex]

So, we have:

[tex]y = \frac{1}{8}x^2[/tex]

Cross multiply

[tex]8y = x^2[/tex]

Rewrite as:

[tex]x^2 = 8y[/tex]

Rewrite as:

[tex](x - 0)^2 = 8(y - 0)[/tex]

Express 8 as 4 * 2

[tex](x - 0)^2 = 4 * 2(y - 0)[/tex]

By comparison with: [tex](x- h)^2 = 4p(y - k)[/tex]

[tex]h = 0[/tex]    [tex]p =2[/tex]     [tex]k = 0[/tex]

So, the focus [tex](h,k+p)[/tex] is:

[tex](h,k+p) = (0,0+2)[/tex]

[tex](h,k+p) = (0,2)[/tex]

how to solve 11/8 ÷ 4/9

Answers

[tex]3.09375[/tex] ✅

Step-by-step explanation:

[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

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