Water flows through a pipe at a rate of 91 fluid ounces every 2.5 weeks. Express this rate of flow in cups per hour.

Answers

Answer 1

Answer:

[tex]Rate = 0.2167\ fl\ oz/hour[/tex]

Step-by-step explanation:

Given

[tex]Rate = \frac{91\ fl\ oz}{2.5\ weeks}[/tex]

Required

Express the rate as per hour

[tex]Rate = \frac{91\ fl\ oz}{2.5\ weeks}[/tex]

There are 168 hours in  a week;

So, the rate becomes

[tex]Rate = \frac{91\ fl\ oz}{2.5 * 168\ hours}[/tex]

[tex]Rate = \frac{91\ fl\ oz}{420\ hours}[/tex]

[tex]Rate = 0.2167\ fl\ oz/hour[/tex]

Hence;

The equivalent of the given rate is [tex]0.2167\ fl\ oz/hour[/tex]


Related Questions

A ternary digit is either 0, 1, or 2. How many sequences of 6 ternary digits containing a single 1 and a single 2 are there?

Answers

Answer:

30sequences

Step-by-step explanation:

Using nx (n-1)

And

n is the number of ternary digits in the number.

So For 6 digits n is 6 so the number of numbers that have exactly one 1 AND exactly one 2 is 30.

That is 6(6-1)= 30

Explain how to find the y-intercept of a linear equation.

Answers

Answer: simply

Step-by-step explanation: Example: 15y= -5x+0 First move -5 to other side of equal sign. So 15y+5x=0 Then simply by dividing by 5. So 5y+x=0

which is greater, a third of 36 or one-sixth of 138?​

Answers

Answer:

one-sixth of 138

Step-by-step explanation:

36÷3=12. 138÷6=23

12<23

Therefore, one-sixth of 138 is greater than a third of 36.

20 POINTS!!!!! A cartographer is making a city map. Line m represents Murphy Street. The cartographer translates points on line m along the vector angleleft1, −3angleright to draw Nolan Street. Draw the line for Nolan Street on the coordinate plane and complete its equation. What is the image of (0, 3) in this situation?

Answers

Answer:

[tex]y=2x-2[/tex] and image of (0,3) is (1,0).

Step-by-step explanation:

From the given graph it is clear that the line of Nolan Street passes through the points (0,-2) and (1,0).

So, the equation of Nolan Street is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{0-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=2x[/tex]

[tex]y=2x-2[/tex]

So, the equation of the Nolan Street is [tex]y=2x-2[/tex].

It is given that the cartographer translates points on line m along the vector <1, −3> to draw Nolan Street. So, the rule of translation is

[tex](x,y)\to (x+1,y-3)[/tex]

The image of (0, 3) in this situation.

[tex](0,3)\to (0+1,3-3)=(1,0)[/tex]

The image of (0,3) is (1,0).

Witch are examples of unit rates

Answers

Answer:

30 miles in 2 hours

Step-by-step explanation:

Answer:

A unit rate is a rate where the second quantity is one unit , such as $34 per pound, 25 miles per hour, 15 Indian Rupees per Brazilian Real, etc. Example 1: A motorcycle travels 230 miles on 4 gallons of gasoline. Find the average mileage per gallon.

Step-by-step explanation:

One number is eight less than a second number. Four times the first is 4 more than 5 times the second. Find the numbers

Answers

Question 958954: One number is five less than a second number. Five times the first is eight more than two times the second. Find the numbers.

hope this helps!

1. Is -2.75 a whole number rational number or a integer ?

Answers

Answer:

its an integer

Step-by-step explanation:

Because it has a negative sign

Review the graphs of f(x) = –x5 + 2x4 + 1 and g(x), which is a translation of f(x).

On a coordinate plane, g (x) curves down through (negative 3, 3) to (negative 2, 1) and then curves up to (negative 0.5, 3.8). It then curves down through (0, 0) into quadrant 4. y = f (x) curves down through (negative 1, 3) to (0, 1) and then curves up to (1.5, 3.8). It then curves down through (2, 0).

How can g(x) be expressed in terms of f(x)?

g(x) = (–x5 + 2x4 + 1) + 2
g(x) = –(x + 2)5 + 2(x + 2)4 + 1
g(x) = (–x5 + 2x4 + 1) – 2
g(x) = –(x – 2)5 + 2(x – 2)4 + 1

Answers

Answer:

choice B

g(x) = –(x + 2)5 + 2(x + 2)4 + 1

The function g(x) can be represented in terms of f(x) like this:

g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.

Hence, 4th option is the right choice.

What does it mean to translate a graph?

The translation is the process of moving a graph horizontally or vertically. To put it another way, each point on the parent graph is translated to the left, right, up, or down, to get the translated graph.

How do we solve the given question?

We know that g(x) is a transformation of f(x) = -x⁵ + 2x⁴ + 1.

Since, g(x) is the transformation of f(x) we try to find the relation between the points on f(x) and g(x).

Let the point on f(x) be (x₁, y₁) and that on g(x) be (x₂, y₂).

f(x) passes through the points (-1, 3), (0,1), (1.5, 3.8), and (2, 0).

Corresponding points on g(x) are (-3, 3), (-2, 1), (-0.5, 3.8), and (0, 0).

We can see that the y-coordinate is the same for corresponding points. So, y₂ = y₁.

For the x-coordinate, we see that for every corresponding point on g(x), it is 2 less than the point on f(x). So, x₂ = x₁ - 2.

Now, in the function f(x), we have x = x₁. So to find the function g(x), we substitute the value of x₂ = x₁ - 2 = x - 2 in f(x) to get the equation of g(x).

∴ g(x) = f(x-2)

or, g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.

∴ The function g(x) can be represented in terms of f(x) like this:

g(x) = -(x - 2)⁵ +2(x - 2)⁴ + 1.

Hence, 4th option is the right choice.

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At 11:00 p.m. , the temperature in Alaska was -5 degrees. Four hours earlier, the temperature was 40 degrees warmer. What was the temperature at 7:00 p.m. ?

Answers

Answer:

35°

Step-by-step explanation:

-5° + 40° = 35°

So the ansWer is 35°

Find the decimal equivalent to 4/15

Answers

To find a decimal that is equavalent to 4/15, all we need to do is divide.

4 / 15 = 0.26666...

Best of Luck!

Madison's breakfast was a bagel and juice. She spent a total of $4.30.
Madeline spent $6.00 on 2 bagels. How much did Madison pay for her
juice? *

Answers

Answer:

$1.30 for juice

Step-by-step explanation:

If madeline bought 2 bagels for $6 then one bagel must be $3. Madison spent $4.30 so $3 was the bagel and $1.30 was the juice.

Need an answer quickly. Left my book at my friends house.​

Answers

Answer:

A. 3

B. 3/4

C. 1/4

Step-by-step explanation:

1/4 of 12 is 3

3 plus 6 is 9 and 9 is 3/4 of 12

12 minus nine is also three leaving the tank still a 1/4 tank empty

which graph shows the function f(x)=x with an input of (f(x-3)
please help me asap!!​

Answers

Answer:

Step-by-step explanation:

B

The correct graph of the function is shown in option (B).

What is graph?

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

The given function is,

f(x) = y = x          (1)

To find the graph of f(x -3),

Substitute x = x- 3 in equation (1),

y =  x- 3

The slope of the graph is 1,

And the y intercept at x = 0,

y = -3

So the graph of the function y = x - 3 can be plotted as,

Hence option (B) is correct option.

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What is the answer to 1/7 x 8

Answers

Answer:

8/7

Step-by-step explanation:

simplify the equation 3(u-6)-7u

Answers

Answer:

-4u-18

Step-by-step explanation:

What does the mean and median mean of numbers

Answers

Answer:

Mean is all numbers added up divided by the amount of numbers in the set.

Median is the number that occurs the most in a set.

Step-by-step explanation:

PLease school is almost over HELP 30x+60x=?

Answers

Answer:

[tex]90x[/tex]

Step-by-step explanation:

[tex]30x+60x=?[/tex]

If you want to solve this easily, you can just remove x and add 30x + 60x.

[tex]30+60[/tex]

We know that 30 + 60 is 90. So we will add x to 90.

[tex]90x[/tex]

Now you have your answer!

Hope this helps!

Answer:

90x

Step-by-step explanation:

To solve, add 30+60.

30 + 60 is equal to 90.

Add x and it will be 90x.

That is your answer!

Hope I helped!

If (42)p = 414, what is the value of p? 7 8 12 16

Answers

Answer:

the correct answer is not there

Step-by-step explanation:

I'm not sure if "7, 8, 12, and 16" were answer choices but none of those are correct

Step-by-step explanation:

to find the value of p you'd need to divide 441 by 42 and the answer is 9.9

choose all expressions that are equal to 28.3. A. 27 + 0.91 + 0.39 B. 0.01 + 28.02 C. 9.9 + 9.8 + 9.6 D. 0.02 + 28 + 0.28 E. 27.3 + 1

Answers

The answer is A, D, and E because when you add them up they give you 28.3

Answer:

i think... a d and e?

Step-by-step explanation:

Which single transformation can be applied to the graph of y = 72 [tex]\sqrt{x}[/tex] to produce the graph of y = 9 [tex]\sqrt{x}[/tex]?

A.vertical translation
xxB.vertical compression
C.horizontal translation
D.horizontal compression
its b

Answers

Answer:

B. Vertical Compression

Step-by-step explanation:

You've answered the question; However, I'll assist with the explanation;

Given

Original: [tex]y = 72\sqrt x[/tex]

Translated: [tex]y = 9\sqrt x[/tex]

Required

Determine the type of transformation applied to the original function

Observing both functions, we notice that [tex]\sqrt x[/tex] is a common factor;

This implies that the function was compressed or stretched along the y axis (vertically)

To determine if its vertical compression or stretch;

We have to divide the translated function by the original function;

[tex]Ratio = \frac{9\sqrt x}{72\sqrt x}[/tex]

[tex]Ratio = \frac{9}{72}[/tex]

[tex]Ratio = 0.125[/tex]

Because 0.125 < 1, then the transformation is a vertical compression

Answer:

B

Step-by-step explanation:

Maria has an 8 sided die that is numbered 1 to 8. She rolls the die 96 times. About how many times can she expect to roll an 8?

Answers

Answer:

12 times.

Step-by-step explanation:

96÷8=12

The dimensions of a right rectangular prism are 1.5 cm, 0.5 cm and 2. 25 cm.
What is the volume of the prism?
A. 0.75 cm
B. 1.6875 cm
C. 3.375 cm
D. 4.25 cm

Answers

The volume of the right rectangular prism having dimensions  1.5 cm, 0.5 cm and 2. 25 cm. will be V=1.6875 [tex]cm^3[/tex]

What is Volume?

Volume is defined as the space covered by any object in the three dimensions having coordinates in all three sides is called as volume.

We know that the volume of the Rectangular prism is given as:

[tex]\rm V=L\times W\times D\\\\\\V=1.5\times 0.5\times 2.25\\\\\\V=1.6875\ \ \ cm^3[/tex]

Hence the volume of the right rectangular prism having dimensions  1.5 cm, 0.5 cm and 2. 25 cm. will be V=1.6875 [tex]cm^3[/tex]

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evaluate 6 to the power of -3

Answers

Use exponent rule: x^-y = 1/x^y

6^-3

= 1/6^3

= 1/216

Best of Luck!

1/216 would be correct

-35x+85x-4=26 what is x

Answers

X=3/5 just add 4 to 26 then combine -35x and 85x to get 50x then divide both sides by 50 and simplify
the answers for the problem is x=0.6

round 2481.65 to the neartheast 10 tenth

Answers

2481.7

         ^ is the tenth place.

The 5 would either round it up or down by one-tenth. Since we like big numbers... we'll round it to 7 from 6.

Answer:

2481.7

Step-by-step explanation:

Find the number in the tenth place

6

and look one place to the right for the rounding digit

5

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

Among all baskets purchased in the South or West neighborhoods, what is the Basket ID of the basket with the largest total revenue? Click here to reference the data needed to answer the question. a. 5531 b. 718 c. 5056 d. None of these choices are correct

Answers

Answer:

c. 5056

Step-by-step explanation:

The revenue is maximized when the units sold are increased if the selling price is constant. The basket ID 5056 has more units then the other two baskets and its invoice total is greater than the other baskets. The basket 5056 has largest total revenue to the company.

Help me plz ASAP explain why

Answers

Answer:

a. -2

b. 3

c. 3

d. -3

e. x=-2

Step-by-step explanation:

When a question asks for f(x), it is basically just asking for what the y-value is at the given point of x. So for example, to solve the first one: f(-4), we see that the x-value is -4. This means it is asking for the y-value at x=-4. As we can see from the graph, where x = -4, the y-value is -2 (along the bottom flat line) therefore f(-4) = -2.

This is the same for the other three, f(0) = 3 because the line at x=0 is crossing at y=3. etc.

Finally e is difference because it is instead asking for the x-value when y=6. To solve this we just need to find a point on the graph where the line is at y=6. This, as we can see is at the top of the highest point and occurs where x=-2.

Hope this helped!

On a map, 2.5 inches represents 300 miles. How many miles are represented by 6 inches?
А .05 miles
00
.40 miles
С
600 miles
D
720 miles

Answers

Answer:

D. 720 miles

Step-by-step explanation:

First, we know that 2.5 inches represents 300 miles. This means that we have to find out how much 1 inch represents in miles. So, we take 300/2.5. This results in 120. So, 1 inch represents 120 miles. Then, we take 6*120 which gets us 720 miles.

A map of 720 miles represented by 6 inches.

It is given that 2.5 inches represent 300 miles.

It is required to find the miles represented by 6 inches.

How many miles are represented by 6 inches?

First we have to find how many miles we get in one inch. Then we find in how many miles does 6 inches have.

In  2.5 inches, the map represents 300 miles.

In 1 inch, a map represents 300/2.5 miles which are equal to 120 miles.

So, in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

Thus in 6 inches, a map represents (120×6) miles which are equal to 720 miles.

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Determine the simple interest. The rate is an annual rate. Assume 360 days in a year. p = $502.45,r=5.3%,t = 53days The simple interest is ​$ ​(Do not round until the final answer. Then round to the nearest cent as​ needed.)

Answers

First, converting R percent to r a decimal
r = R/100 = 5.3%/100 = 0.053 per year.

Putting time into years for simplicity,
53 days / 360 days/year = 0.147222 years.

Solving our equation:
A = 502.45(1 + (0.053 × 0.147222)) = 506.3704997767
A = $506.37

The total amount accrued, principal plus interest, from simple interest on a principal of $502.45 at a rate of 5.3% per year for 0.147222 years (53 days) is $506.37.

The perimeter of a triangle is 105 cm. If each of the two legs is exactly twice the length of the
base, how long is each leg?

Answers

Greetings from Brasil...

According to the question of the statement, we can conclude that

PQ = 2B

QR = 2B

PR = base = B

Perimeter = P = 105

P = PQ + QR + PR

105 = 2B + 2B + B

B = 21

PQ = 2B = 42QR = 2B = 42
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