Water leaves a spigot at a rate of 462 cubic inches per minute. How many cubic feet of water is this per hour? (Round your
answer to the nearest whole number.)
cubic feet
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Answers

Answer 1

Answer:

2130 feet per hour

Step-by-step explanation:

462*60; because your trying to find out how many feet per hour so you have to multiply 462 inches by 60 minutes because 60 minutes= 1 hour.

462*60= 27720

27720/12; because you want to find out how many feet and not inches, so you have to divide 27720 by 12 because there is 12 inches in one foot.

27720/12= 2130

so your answer is 2130 feet per hour. Hope this helps :D


Related Questions

A vase is on sale at 50% off. The sale price is $160. What was the original price?

Answers

Answer:

$320

Step-by-step explanation:

To find the answer to this you would need to multiply the price by 2 so that you may find out what double the half of price would be, so in theory you and doing the reciprocal.

9. Identify the domain of the set (6,1),(-1, -8), (3,5), (9,1)
and tell if the relation is a function.

Answers

Step-by-step explanation:

[tex](x,\ y)\\\\x\in\text{Domain}\\\\y\in\text{Range}\\\\(6,\ 1),\ (-1,\ -8),\ (3,\ 5),\ (9,\ 1)\\\\\text{Domain}=\{-1,\ 3,\ 6,\ 9\}\\\text{Range}=\{-8,\ 1,\ 5\}\\\\\text{This relation is a function because each x is assigned one value of y.}[/tex]

Answer:

Yes, this relation is a function.

Step-by-step explanation:

Take the first element from each ordered pair to obtain the domain:

(6, -1, 3, 9).  Since the inputs are all unique (no duplication), the relation is a function.

Question 1
How would adding a score of O to this data affect the mean and
median game scores?
Game Scores
Both the mean score and the median
score would decrease by the same
amount.
100
120
The median score would decrease more
than the mean score.
130
150
The mean score would decrease more
than the median score.
mean: 125
median: 125
There would be no effect on either the
mean score or the median score.

Answers

Answer:the mean score would decrease more than the median score

Step-by-step explanation:

i did the quiz

Adding a score of 0 would decrease the mean more than the median, with the new mean being 100 and the new median 120.

Adding a score of 0 to the data set of game scores will impact both the mean and the median of the distribution. However, the way each measure of central tendency is affected will be different.

For the mean, which is the arithmetic average, adding a score of 0 will bring the average down. To find the new mean, you would add 0 to the sum of the existing scores and divide by the new total number of scores. Since 0 is lower than any of the existing scores (100, 120, 130, and 150), the mean will decrease.

The initial mean is 125, which is the sum of all the scores (500) divided by the number of scores (4).

Calculating the new mean after including the score of 0, we get (500 + 0) / (4 + 1) = 500 / 5 = 100. This shows the mean would decrease as a result of the 0 score.

As for the median, if we incorporate the score of 0 into the data set, it will become the new lowest score. With an odd number of scores (5), the median will be the middle value.

The scores in order would be 0, 100, 120, 130, and 150. So the new median would be 120. The median is less influenced by extreme values, especially when they are an outlier like the 0 in this case.

Therefore, the correct answer is that the mean score would decrease more than the median score when adding a 0 to the data set.


7 X 7 X 5 X 5 in exponential form

Answers

Answer:

7^2*5^2

Step-by-step explanation:

The equation contains two 7's and two 5's. 7 squared and 5 squared can be written like this, so the answer is 7^2*5^2

What is the slope between (-2,1) and (5,7)

Answers

Answer:

6/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-1)/(5-(-2))

m=6/(5+2)

m=6/7

Answer:

The slope is [tex]m=\frac{6}{7}[/tex]

Step-by-step explanation:

SEQUENCES AND SERIES
QUESTION 1: The 8th and 20th terms of an arithmetic sequence are respectively equal to
the 6th and 8th terms of a geometric sequence. In the arithmetic sequence the first term is
a and the non-zero common difference d, whilst r is the common ratio in the geometric
sequence.
(a) Show that r^2=a+19d/a+7d
(b) If the 5th term of the arithmetic sequence is 4 and r is an integer, determine all
possible General Terms of both sequences.

Answers

Answer:

Step-by-step explanation:

As we Know that formula for arithmetic sequence is

[tex]a_n=a_1+(d-1)[/tex]

and for geometric sequence is

[tex]a_n=a1*r^(n-1)[/tex]

So,

According to given conditions

     [tex]a+7d=a*r^5 (i)\\ a+19d=a*r^7 (ii)[/tex]

By dividing equation (i) and (ii)

Hence proved that

[tex]r^2=a+19d/a+7d[/tex]

Help me, is correct? Thanks

Answers

Answer:

Step-by-step explanation:

Yes

Yes it is correct :)

Which equation represents the line that passes through the points (4, 7) and (-2, -2) ?
y = 3/2x + 1
y = -5/2x + 17
y = 5/2x - 3
y = -3/2x + 13

Answers

Answer:

y=3/2x + 1

•••••••••••••

Please help. Write as a single logarithm, a) log(13)+log(4) b) log(small 5)(14)-log(small 5)(2)

Answers

Answer:

a) [tex]\log 52[/tex]

b) [tex]\log_57[/tex]

Step-by-step explanation:

Use logarithm properties:

[tex]\log_ab+\log_ac=\log_a(b\cdot c)\\ \\\log_ab-\log_ac=\log_a\dfrac{b}{c}[/tex]

Then

a) [tex]\log 13+\log 4=\log 13\cdot 4=\log 52[/tex]

b) [tex]\log_514-\log _52=\log _5\dfrac{14}{2}=\log _57[/tex]

Find the measure of an exterior angle of a regular polygon with 6 sides. Round to the nearest tenth if necessary.

a.
720

b.
60

c.
120

d.
360

Answers

Answer = b. 60

Firstly, find out how many degrees are in the 6 sided polygon, you can use this equation

(n stands for the number of sides)
(n - 2) x 180
(6 - 2) x 180 = 720

Afterwards, to find out the interior angle (in order to find out the exterior angle), divided 720 by the number of sides the polygon has, which is 6.

720 / 6 = 120

Afterwards, you do:
180 - 120 (in order to find out the exterior angle)

180 - 120 = 60

So then the exterior angle should be 60.



I’m pretty sure there’s a quicker method but i can’t remember it sorry lol

Always the sum of the exterior angles of a regular polygon is 360.

A data set has nine values. The mean of the set is 5. When a tenth value is added, the mean becomes 6. What is the tenth value?

Answers

The tenth value is 15

Solution:

Given that, data set has 9 values

The mean of the set is 5

Number of values = 9 and mean = 5

The mean is given by formula:

[tex]mean = \frac{\text{Sum of terms}}{\text{Number of terms}}[/tex]

[tex]5 = \frac{\text{Sum of 9 terms}}{9}\\\\sum\ of\ 9\ terms = 5 \times 9 = 45[/tex]

When a tenth value is added, the mean becomes 6

Let the tenth value be "x"

New mean is given as:

[tex]6 = \frac{\text{sum of 9 terms} + x}{10}\\\\sum\ of\ 9\ terms + x = 60[/tex]

The tenth value is given as:

sum of 9 terms + x = 60

45 + x = 60

x = 60 - 45

x = 15

Thus the tenth value is 15

Evaluate the expression when b=6 and x=-6

Answers

Answer:

x = -6

=b=6=

Step-by-step explanation:

Answer:

Step-by-step explanation:

Incomplete question!

Help?????? I have two of these that need answering. ​

Answers

Answer:

The value of 'x' is 7 that will make make L║M.

Step-by-step explanation:

Given,

Line segment L and line segment M are cut by a transversal line.

We can name it as 't' transversal line and also the given angle measures as ∠1 and ∠2.

So, ∠1 = [tex]7x+9[/tex]

∠2 = [tex]8x+2[/tex]

We have to find the value of 'x'.

Solution,

Since L and M are two line segment which is cut by another line segment 't'.

For L║M, the measure of ∠1 and ∠2 must be equal according to corresponding angle property.

"When the measure of a pair of same side corresponding angle is equal, then the line segments are parallel".

[tex]\therefore \angle1=\angle2[/tex]

On substituting the values, we get;

[tex]7x+9=8x+2[/tex]

Combining the like terms, we get;

[tex]8x-7x=9-2\\\\x=7[/tex]

Now we will find out the measure of  ∠1 and ∠2.

[tex]\angle1=7x+9=7\times7+9=49+9 =58[/tex]

[tex]\angle2=8x+2=8\times7+2=56+2=58[/tex]

Hence The value of 'x' is 7 that will make make L║M.

Circle the answer. ​

Answers

< right angle is the right answer
< right angle
Because it’s less than a right angle

Ben drove his car 467 kilometer in 5 hours while he was on vacation in Italy. He was trying to estimate how far he could drive in 7 hours the next day, so he set up the following proportion: . Is his proportion correct? Or, incorrect? Explain your choice and support with appropriate mathematical terminology.

Answers

Answer:653.8

Step-by-step explanation:

467 /5=93.4 miles in five hours.   93.4 *7 =653.8

Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a
pound of sugar. How much more butter than sugar was used?
Write your answer as a fraction or as a whole or mixed number.
pounds

Answers

[tex]\frac{1}{6}[/tex] or 0.167 pounds more butter was used than sugar

Solution:

Given that, Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a  pound of sugar

To find: Amount of butter used than sugar

From given information,

[tex]\text{Butter used} = \frac{2}{3} \text{ pound }[/tex]

[tex]\text{Sugar used } = \frac{1}{2} \text{ pound }[/tex]

To find how much butter is used than sugar, find the difference between them

[tex]Difference = Butter\ used - Sugar\ used[/tex]

[tex]Difference = \frac{2}{3} - \frac{1}{2}\\\\Difference = \frac{2 \times 2-1 \times 3}{3 \times 2}\\\\Difference =\frac{4-3}{6}\\\\Difference =\frac{1}{6} = 0.167\\\\[/tex]

Thus [tex]\frac{1}{6}[/tex] or 0.167 pounds more butter was used than sugar

Smith Elementary School scored 30 less points in their track meet than Jones Elementary School. If Jones Elementary School scored x points, write an expression to represent how many points Smith Elementary School scored.

Answers

The expression that represents the points of Smith Elementary School scored is x - 30

Step-by-step explanation:

Let us revise some words that means operations in mathematics

The sum ⇒ add (the sum of x and y is x + y)The difference ⇒ subtract (the difference between x and y is x - y)The product ⇒ multiply (the product of x and y is x × y)The quotient ⇒ divide (the quotient of x divided by y is x ÷ y)Less than ⇒ minus (x less than y by n is x = y - n)More than ⇒ plus (x is  more than y by m is x = y + m)

∵ Smith Elementary School scored 30 less points in their

   track meet than Jones Elementary School

- That means the score of Smith Elementary School is less than

   the score of Jones Elementary School by 30

∵ Jones Elementary School scored x points

- Subtract 30 from x to find the score of Smith Elementary School

∴ Smith Elementary School scored = x - 30

The expression that represents the points of Smith Elementary School scored is x - 30

Learn more:

You can learn more about the expressions in brainly.com/question/13087541

#LearnwithBrainly

Answer:

x-30

Step-by-step explanation:

We know that Jones Elementary has x points. If Smith Elementary has 30 less points then we should subtract 30 from x to get x-30.

Number 2 can someone help

Answers

Answer:

it's dilation by 2 because the purple one is 2x bigger

You are part of a construction company that is supposed to build houses. An architect has left plans to build houses on each island. Bridges connect the islands. Island A and island B have a total of 15 houses. Island A and island C have a total of 17 houses. Island B and island C have a total of 12 houses. A total of 22 houses is to be built on the three islands. Determine how many houses are to be built on each island. Explain how you arrived at your answer in detail.

Answers

Answer:

Island A, B and C has 10, 5 and 7 houses respectively.

Step-by-step explanation:

Let, the three islands A, B and C has a, b and c houses respectively.

According to the question, a + b = 15; a + c = 17; b + c = 12; a + b + c = 22.

Adding [ a + b = 15; a + c = 17]-these two, we get, [tex]a + (a + b + c) = 15 + 17 = 32\\a + 22 = 32\\a = 10[/tex].

Now, [tex]a + b = 15\\10 + b = 15\\b = 5[/tex].

[tex]a + c = 17\\10 + c = 17\\c = 7[/tex].

I need the last two

Answers

Answer:

Part 5) Option b [tex]2x\sqrt{3}\ ft[/tex]

Part 6) Option d. [tex]4y\sqrt[3]{2}\ mm[/tex]

Step-by-step explanation:

Part 5) we know that

The area of a square is equal to

[tex]A=b^2[/tex]

where

b is the length side of the square

we have

[tex]A=12x^2\ ft^2[/tex]

substitute

[tex]12x^2=b^2[/tex]

Solve for b

take square root both sides

[tex]b=\sqrt{12x^{2}}[/tex]

Remember that

[tex]12=(2^2)(3)[/tex]

substitute

[tex]b=\sqrt{(2^2)(3)x^{2}}[/tex]

Applying property of exponents

[tex]b=\sqrt{(2^2)(3)x^{2}}=[(2^2)(3)x^{2}]^{\frac{1}{2}}=[2^2x^2]^{\frac{1}{2}}3^{\frac{1}{2}}=2x\sqrt{3}\ ft[/tex]

Part 6) we know that

The volume of a cube is equal to

[tex]V=b^3[/tex]

where

b is the length side of the cube

we have

[tex]V=128y^3\ mm^3[/tex]

substitute

[tex]128y^3=b^3[/tex]

Solve for b

take cubic root both sides

[tex]b=\sqrt[3]{128y^3}[/tex]

Remember that

[tex]128=(2^7)=(2^6)(2)=(2^2)^3(2)[/tex]

substitute

[tex]b=\sqrt[3]{(2^2)^3(2)y^3}[/tex]

Applying property of exponents

[tex]b=\sqrt[3]{(2^2)^3(2)y^3}=[(2^2)^3(2)y^3]^{\frac{1}{3}}=[(2^2)^3y^3]^{\frac{1}{3}}2^{\frac{1}{3}}=2^2y\sqrt[3]{2}=4y\sqrt[3]{2}\ mm[/tex]

Why do intrest rates on loans tend to be lower in a week economy than in a strong one?

Answers

Answer:

Interest rate tend to be lower in weak economy than in strong economy to encourage people to borrow money to invest in businesses, the lower the interest rate, the more willing people are to borrow money to make big purchases and this will make economic growth tend to be faster.

Moreso a weak economy tends to have low inflation, so interest rates drop to match.

A 12 ounce can of Coke costs $1.00 when purchased from the soda machine at the school. An 16 oz bottle of Pepsi from the soda machine at the local gas station costs 1.35. Is the can of coke or bottle of Pepsi the best buy?

Answers

Answer:

Can of Coke

Step-by-step explanation:

Calculate how much money each ounce of drink costs, or the money per ounce ($/oz).

Coke:

$/oz = $1 ÷ 12oz = $0.083333/oz

Pepsi:

$/oz = $1.35 ÷ 16oz = $0.084375/oz

Coke < Pepsi

0.083333 < 0.084375

The calculations show that you would pay more money for one ounce of Pepsi than for one ounce of Coke. Coke costs less than Pepsi.

Therefore the can of Coke is the best buy.

Final answer:

After calculating the cost per ounce for both the Coke and Pepsi, the 12 ounce can of Coke at $1.00 is the better buy as it costs approximately $0.0833 per ounce compared to the 16 ounce bottle of Pepsi at $1.35, which costs approximately $0.0844 per ounce.

Explanation:

To determine whether the can of Coke or the bottle of Pepsi is the better buy, we will calculate the cost per ounce for each.

For the 12 ounce can of Coke priced at $1.00, the cost per ounce is calculated as follows:

Divide the total cost by the number of ounces: $1.00 \/ 12 ounces.

This results in approximately $0.0833 per ounce for the Coke.

For the 16 ounce bottle of Pepsi priced at $1.35, the cost per ounce is calculated in a similar manner:

Divide the total cost by the number of ounces: $1.35 \/ 16 ounces.

You get approximately $0.0844 per ounce for the Pepsi.

Comparing the two, the cost per ounce of Coke is cheaper than the cost per ounce of Pepsi. Thus, the can of Coke is the best buy.

Solve using elimination.

10x + 6y = –2
2x + 6y = –10

Answers

Answer:

(1, - 2 )

Step-by-step explanation:

Given the 2 equations

10x + 6y = - 2 → (1)

2x + 6y = - 10 → (2)

Multiplying (2) by - 1 and adding to (1) will eliminate the y- term

- 2x - 6y = 10 → (3)

Add (1) and (3) term by term

(10x - 2x) + (6y - 6y) = (- 2 + 10), that is

8x = 8 ( divide both sides by 8 )

x = 1

Substitute x = 1 into either of the 2 equations.

Substituting x = 1 into (1)

10(1) + 6y = - 2

10 + 6y = - 2 ( subtract 10 from both sides )

6y = - 12 ( divide both sides by 6 )

y = - 2

Solution is (1, - 2 )

y = 2x – 5 2y – 4x =

Answers

Answer:

2y-4x

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

y=2x-5

Putting the value of y in 2y-4x

2(2x-5)-4x

4x-10-4x

0-10

-10

What is 2X +3+ 3X equals X +11

Answers

Answer:

Part 1) x=5

Part 2) x=2

Step-by-step explanation:

The question is solve for x

Part 1) we have

[tex]x+3x=x+x+10[/tex]

Combine like terms both sides

[tex]4x=2x+10[/tex]

subtract 2x both sides

[tex]4x-2x=10\\2x=10[/tex]

divide by 2 both sides

[tex]x=5[/tex]

Part 2) we have

[tex]2x+3+3x=x+11[/tex]

Combine like terms left side

[tex]5x+3=x+11[/tex]

subtract x both sides

[tex]5x+3-x=11\\4x+3=11[/tex]

subtract 3 both sides

[tex]4x=11-3\\4x=8[/tex]

divide by 4 both sides

[tex]x=2[/tex]

ill give brainlist on whoever gets right!!!

Answers

Answer:

c&d

Step-by-step explanation:

because they are connected

Jennifer says that you can also write (12-3) X 2 for the phrase 12- (3x2) is she correct? Explain why or why not

Answers

Answer: She isn't correct.

Step-by-step explanation: The BODMAS rule must be strictly followed and as such gives different answers to the two expressions.

(12-3)*2 basically gives:

9*2 (Dealing with the bracket first)

18.

While 12-(3*2) while dealing with the bracket first will give:

12-6; which would eventually give

6.

At soccer practice, for every 5 minutes that Bob runs, e spends 20 minutes practicing dribbling. If Bob keeps the same ratio and he spends 36 minutes practicing dribbling, how many minutes does he spend running?

Answers

5/20=x/36

1/4=x/36

x=9

9 minutes.

Final answer:

To determine the time Bob spends running, a proportion is set up based on the original 5:20 running to dribbling ratio. Solving this proportion shows that Bob runs for 9 minutes when he spends 36 minutes dribbling.

Explanation:

Bob's practice ratio for running and dribbling is 5 minutes running to 20 minutes dribbling. To find how many minutes Bob spends running when he practices dribbling for 36 minutes, we set up a proportion using the original ratio. The proportion is:

5 minutes running / 20 minutes dribbling = x minutes running / 36 minutes dribbling

To solve for x, we cross-multiply:

(5 minutes running) × (36 minutes dribbling) = (x minutes running) × (20 minutes dribbling)

This gives us:

180 = 20x

Now divide both sides by 20 to solve for x:

x = 180 / 20

x = 9 minutes

Thus, Bob spends 9 minutes running when he practices dribbling for 36 minutes.

1. Andy has 5 pots, and each pot can hold 3/8 pound of soil. how much soil does he need to fill all of the pots?
2. Find the product. 4 2/3 x 3 3/4
3. Evaluate the expression for x= 2 1/4. 12x + 6

Answers

(1)  [tex]1\frac{7}{8}[/tex] pounds of soil   (2) [tex]\frac{35}{2}[/tex]   (3)  33

Solution:

(1) Number of pots = 5

Quantity of soil each pot can hold = [tex]\frac{3}{8}[/tex] pounds

Quantity of soil need to fill all the pots = [tex]5\times \frac{3}{8}[/tex]

                                                               = [tex]\frac{15}{8}[/tex] pounds

                                                               = [tex]1\frac{7}{8}[/tex] pounds

Therefore, [tex]1\frac{7}{8}[/tex] pounds of soil need to fill all of the pots.

(2) To find the product of [tex]4\frac{2}{3}[/tex] and [tex]3\frac{3}{4}[/tex].

Let us first convert the mixed fraction into improper fraction.

[tex]4\frac{2}{3}\times3\frac{3}{4}=\frac{(4\times3)+2}{3}\times\frac{(3\times4)+3}{4}[/tex]

             [tex]=\frac{14}{3}\times\frac{15}{4}[/tex]

             [tex]=\frac{210}{12}[/tex]

This can be simplified. Divide both numerator and denominator by 6.

             [tex]=\frac{35}{2}[/tex]

[tex]4\frac{2}{3}\times3\frac{3}{4}=\frac{35}{2}[/tex]

(3) To evaluate the expression 12x + 6 for [tex]x=2\frac{1}{4}[/tex].

Let us first convert the mixed fraction into improper fraction.

[tex]x=\frac{(2\times4)+1}{4}=\frac{9}{4}[/tex]

[tex]12x+6=12(\frac{9}{4})+6[/tex]

            [tex]=(\frac{108}{4})+6[/tex]

            [tex]=27+6[/tex]

12x + 6 = 33

Sammy is taking a test. Each correct question gives him 5 points and each incorrect question causes him to lose a point. He answers all 20 questions and gets a score of 64. How many questions did he answer correctly?

Answers

Answer:14

Step-by-step explanation:

figure out 5x20,, which gives you 100 points

use trial and error is my method :)

if he answered 10 correct, he would get 50 points and lose 10. this gives 40 points. its an error

we now know its between 11 right and 19 right

we continue to do this till we get it right

14 x 5 = 68. - 4 makes 64.

Sammy answered 14 questions correctly on his test, as determined by setting up and solving the equation 5x - (20 - x) = 64, where x represents the number of correct answers.

Sammy is taking a test where each correct question awards him 5 points and each incorrect one deducts a point. With 20 questions in total and a score of 64, we can set up an equation to find out how many questions he answered correctly. Let x represent the number of correct answers. Then, the number of incorrect answers would be 20-x. The scoring system gives us the following equation:

5x - (20 - x) = 64

By solving this equation, we can find out how many questions Sammy answered correctly:

Combine like terms: 5x - 20 + x = 64

Simplify: 6x - 20 = 64

Add 20 to both sides: 6x = 84

Divide both sides by 6: x = 14

Thus, Sammy answered 14 questions correctly on his test.

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