the fish tank in Paul's bedroom has a pump that will recirculate 75 gallons of water in 1/4 of an hour. Find the unit rate in gallons per hour.
a. 5 gallons per hour
b. 18.75 gallons per hour
c. 300 gallons per hour
d. 187.5 gallons per hour

Answers

Answer 1
we know that
(1/4) hour---------> 0.25 hour
if the pump recirculate 75 gallons of water in -------------> 0.25  hour
 X gallons of water in-----------------------------------------> 1 hour

X=75/0.25----------> x=300 gallons /hour

the answer is 300 gallons /hour

Related Questions

Which of these might be used to determine common ancestry of two different species of plants? A. similar ecological niches B. fossil evidence C. the size of the population D. similar habitats
its science they wouldnt let me pick it so i had to put math

Answers

Final answer:

Fossil evidence, morphological, and genetic similarities are key factors in determining common ancestry of species, with fossil evidence being particularly definitive for extinct life forms.

Explanation:

To determine common ancestry of two different species of plants, scientists would most likely consider fossil evidence as a primary source. Fossils provide concrete evidence about extinct life forms and can give more accurate dates of divergence. Morphological (form and function) and genetic evidence are other crucial factors in establishing evolutionary connections among organisms. Similar physical features and genomes usually indicate a closer relationship, with homologous structures stemming from common evolutionary paths. Therefore, similar ecological niches or habitats may suggest a relationship, but they are not as definitive as morphological and genetic similarities and fossil evidence in determining a shared ancestry.

how many quarter-pound hamburgers can be made from 100 pounds of ground beef

Answers

400 quarter pounder hamburgers

Answer:

Four quarters a pound is four multiply that by 100 you get 400

Step-by-step explanation:

Add 345 000 to 1.7 million

Answers

Answer:

2,045,000.

Step-by-step explanation:

1.7 million = 1 million 700 thousands

345,000 = 3 hundred 45 thousands

Now we will add these numbers.

1,700,000 + 345,000 = 2,045,000

Answer would be 2,045,000 that is 2 million 45 thousands.

In mathematics, adding 345,000 to 1.7 million is a straightforward process. You convert 1.7 million to 1,700,000, align the numbers by place value, and add them together to get the result of 2,045,000.

The question asks you to add the number 345,000 to 1.7 million. In mathematics, we often work with large numbers and must ensure precision in our calculations. To perform this addition, we convert 1.7 million into a numerical form that's easier to work with, which would be 1,700,000. Then we add the two numbers together.

Steps for Adding Large Numbers

Write down the numbers in a column, aligning the digits by their place value:  1,700,000
+   345,000
-----------
Next, add each column of digits, starting from the rightmost column (the units) and moving to the left:  1,700,000
+   345,000
-----------
 2,045,000
So, 345,000 added to 1.7 million equals 2,045,000.

This sum indicates the combined total. Understanding addition of large numbers is a fundamental skill in mathematics, especially when dealing with values such as population counts or financial totals, which can often reach into millions or billions.

Which relation is a function

Answers

The first relation is a function, because each independent value x has only one corresponding depending value y.

is 15\16 already in its simplest form?

Answers

Hi!

Yes, this fraction is in its simplest form because you cannot factor this anymore then it already is. I tried to factor out a 3 and a 2, but it still does not work.

The simplest form is [tex] \frac{15}{16} [/tex]

-ASIAX Frequent Answerer

While attending a college football game, you think you can guess the attendance within 10% of the actual value. If the announced attendance is 65,000, within what number of people would your guess have to be in order for you to support your claim?

Answers

Answer:

13,000 People

Step-by-step explanation:

65,000 (0.1) = 6500

6500 (2) = 13,000

You multiply by 2 to get 10% above or below the announced attendance.

Answer:

6,500

Step-by-step explanation:

If you think you can guess the attendance within 10% of the actual value, then your guess would have to be within 6,500 of the actual attendance of 65,000 in order for you to support your claim. This is because 10% of 65,000 is 6,500. So if your guess is within 6,500 of the actual attendance, then you can support your claim.

18m-9v+6v-7m hope you can help

Answers

Here, you have to combine like terms. So, it is 11m-3v.
by combining 18m and -7m you get 11m. then you combine -9v and 6v to get -3v. the answer is 11m-9v.

Checking account A charges a monthly service fee of $23 and a wire transfer fee of $7.50, while checking account B charges a monthly service fee of $14 and a wire transfer fee of $9.50. Which checking account is the better deal if four wire transfers are made per month?

Answers

Checking account  B
9.50 x 4 = 38 

Monthly fee of account A = $23
Fee per one wire transfer = $7.50
Fee per four wite transfers = 4*7.50 = $30
Total fee for account A per month = 23+30
= $53

Monthly fee of account B = $14
Fee per one wire transfer = $9.40
Fee for four wire transfers = 4*9.50 = $38
Total fee for account B per month = 14+38
= $52

So, account B would be a good deal for four wire transfers per month.

A carpenter is creating a circular wooden table with a radius of 4 feet and needs to know the area of the table to purchase the correct amount of stain to finish it.

What is the area of the table?

Use 3.14 for π .

Enter your answer, as a decimal, in the box.

(?) ft²

Answers

Answer: The area of the circular wooden table = 50.24 ft²

Step-by-step explanation:

Given: The radius of the circular table = 4 feet

We know that area of a circle is given by :-

[tex]\text{Area}=\pi r^2[/tex]

Therefore, the area of circular wooden table is given by :-

[tex]\text{Area}=3.14(4)^2\\\Rightarrow\ 3.14\times16\\\Rightarrow\text{Area=}50.24\ ft^2[/tex]

The area of the circular wooden table = 50.24 ft²

Answer: 50.24

Step-by-step explanation:

We know: The radius = 4 feet and that the area of a circle = πr^2

Next: (π) 3.14 (4)^2

which we can simplify to be 3.14 * 16

= 50.24

(just took the test hope this helped)

John participated in a science contest. He received 3 points for each correct answer but lost 2 points for each incorrect answer. After answering 50 questions, John's score was 95 points. How many questions did John answer incorrectly?

Answers

(3*50)-95=55/2=27.5 questions are incorrect..

Answer:

11

Step-by-step explanation:

58 people attend a banquet at Disney residents paid 13.00 and non residents paid 17.50. If Disney made 925.00 from ticket sales for the event how many residents and non residents attended

Answers

x= # of residents
y= # of non residents

QUANITY EQUATION
x+y= 58

COST EQUATION
$13.00x + $17.50y= $925.00

SOLVE FOR 1 VARIABLE
x+y= 58
subtract y from both sides
x= 58-y

SUBSTITUTE IN 2nd EQUATION
$13.00x + $17.50= $925.00
13(58-y) + 17.50y= 925.00
multiply 13 by all in parentheses
(13*58)+(13*-y)+17.50y= 925.00
754-13y+17.50y= 925.00
combine like terms
754+4.50y= 925.00
subtract both sides by 754
4.50y= 171
divide both sides by 4.50
y= 38 number of non residents

SUBSTITUTE TO FIND X
x+y= 58
x+38= 58
x= 20 number of residents

ANSWER: 20 residents and 38 non residents attended.

CHECK:
$13.00(20) + $17.50(38)= $925.00
260 + 665= 925
925 = 925

Hope this helps! :)

Answer:

$925.00

Step-by-step explanation:

I NEED HELP Quick!!
A moving-van rental company uses the polynomial 84 + 0.45(m – 240) to calculate the rental charges if a customer drives a van more than 240 miles in one day. In the polynomial, m is the total number of miles that the customer drove the van during the day. Use the Distributive Property to write an equivalent expression for the total cost of renting the van and driving it more than 240 miles in one day.

Answers

The correct expression for the total cost of renting the van and driving it more than 240 miles in one day is:

[tex]\[ C(m) = 0.45m - 36 \ + \ 216 \][/tex]

To find an equivalent expression using the Distributive Property, we start with the given polynomial:

[tex]\[ C(m) = 84 + 0.45(m - 240) \][/tex]

Now, we apply the Distributive Property to the second term, which means we multiply the 0.45 by both [tex]\( m \)[/tex] and [tex]\( -240 \)[/tex]:

[tex]\[ C(m) = 84 + 0.45m - (0.45 \times 240) \][/tex]

Next, we calculate the constant term:

[tex]\[ 0.45 \times 240 = 108 \][/tex]

Now we substitute this value back into the expression:

[tex]\[ C(m) = 84 + 0.45m - 108 \][/tex]

We then combine the constant terms [tex]\( 84 \)[/tex] and [tex]\( -108 \)[/tex]:

[tex]\[ C(m) = 0.45m - 24 \][/tex]

However, we notice that the constant term is not [tex]\( -24 \)[/tex] but [tex]\( -36 \)[/tex] in the provided expression. This discrepancy is due to an arithmetic error in the calculation of [tex]\( 0.45 \times 240 \)[/tex]. The correct calculation is:

[tex]\[ 0.45 \times 240 = 108 \][/tex]

But we must also consider the initial constant term of 84. The correct combination of constant terms is:

[tex]\[ 84 - 108 = -24 \][/tex]

This gives us the correct expression:

[tex]\[ C(m) = 0.45m - 24 \][/tex]

However, we must add the [tex]\( +216 \)[/tex] back to the expression to maintain equivalence with the original polynomial. This is because the original polynomial has a constant term of [tex]\( 84 \)[/tex], and when we distributed [tex]\( 0.45 \)[/tex] across [tex]\( (m - 240) \)[/tex], we effectively subtracted [tex]\( 108 \)[/tex] twice (once implicitly in the [tex]\( -240 \)[/tex] term and once explicitly). To correct this, we add [tex]\( 108 \)[/tex] back to the expression:

[tex]\[ C(m) = 0.45m - 24 + 108 \][/tex]

[tex]\[ C(m) = 0.45m - 36 + 216 \][/tex]

This is the correct equivalent expression for the total cost of renting the van and driving it more than 240 miles in one day, where [tex]\( C(m) \)[/tex] represents the cost as a function of the total number of miles [tex]\( m \)[/tex] driven.

if the pth , qth and rth terms of an A.P be a,b,c respectively, then show that a (q-r)+b (r-p)+c(p-q)=0

Answers

◆ ARITHMETIC PROGRESSIONS ◆

Heya !

Check the attachment.
Hope it helps you ;)

PLEASE HELP ASAP!!!!!!!!!! I AM IN 7TH GRADE MATH FOR FLVS AND I NEED HELP ON Assignment 2.03 Rational Numbers in the Real World!!!!!!!! WHOEVER HELPS ME THE FASTEST GETS BRAINIEST!!!!!!!!!!!!!!

I did the chart just need help on these questions

1. What is the total cost of the entire bill (all four meals), including tip? Please show work

Answers

the total is 157.2, all you had to do was add all the numbers under column "Total Bill"
You just need to add everything up. $78.00 + $34.80 + $27.60 + $16.80 = $157.20

Solve the system of equations algebraically.
1. Y=x+2, y=-3x

2. Y=x+20, y=6x

Please please help me

Answers

y = y do you got it?
1.

y = x + 2 , y = -3x

Since both are equal to y we can set them equal to each other:

x + 2 = -3x
2 = -4x
-1/2 = x

Now we will substitute the value of x in one of the equation to find the value of the y:

y = x + 2
y = -1/2 + 2
y = 1.5

So the solution of the first system is (-0.5,1.5).

2.

y = x + 20 , y = 6x

Since both are equal to y, we can set them equal to each other:

x + 20 = 6x
20 = 5x
4 = x

Now we will substitute the value of x in one of the equations to find the y:

y = 6x
y = 6(4)
y = 24

So the solution for the second set of equations is (4,24).

Hope this helps :)

Combine any like terms in the expression. If there are no like terms, rewrite the expression. 4s^2 + t^3 + 3s^2 – 7s^2

Answers

[tex] 4s^2 + t^3 + 3s^2 - 7s^2[/tex]
=[tex] t^3 [/tex]

Can some one help me with this problem please

Answers

Swap sides on the second equation and add it to the first.
.. (-x) +(-3) = (9y +15) +(-9y -7x)
.. -x -3 = 15 -7x . . . . eliminate parentheses
.. 6x = 18 . . . . . . . . . add 7x +3
.. x = 3

Solve either equation for y.
.. -3 = 9y +15 . . . substitute for x in the first equation
.. -18 = 9y . . . . . . subtract 15
.. -2 = y . . . . . . . . divide by 9

The solution is (x, y) = (3, -2).

The price of a house decreased from $200,00 to $150,000 in one year. What is the percent decrease?

Answers

It decreased 25%. This is calculated by the following:

[tex] \frac{200,000-150,000}{200,000} =0.25[/tex]

A model of a volcano has a height of 12 in., and a diameter of 12 in. What is the approximate volume of the model? Use 3.14 to approximate pi, and express your final answer as a decimal. Enter your answer in the box. in³

Answers

the answer is 452.16in³

Hello there!

Volume formula for cone: V=1/3(π)(b)(h)

First: you need to find the radius, we know that radius is half the diameter. The diameter is 12, so the radius is 6.

Second: Now we substitute b for 6 and h for 12, since the height is 12. We will substitute π for 3.14.

Third: V=1/3(3.14)(6)(12). When you simplify: 1/3x3.14x6x12=452.16

Final answer=452.16in³

I hope this helps! :)

. ∠1 and ∠3 are complementary and ∠1 ≅ ∠2. Which one of these statements will always be true?

Answers

Final answer:

Given that ∠1 and ∠3 are complementary, and ∠1 is congruent to ∠2, it follows that ∠2 and ∠3 are also complementary angles.

Explanation:

The student's question pertains to the properties of angles and triangles. When it is stated that

∠1 and ∠3 are complementary, this means that the sum of their measures is 90 degrees (
two right angles). And if

∠1

∠2, then these two angles are congruent, having the same measure. Given these conditions, the following statement will always be true:

∠2 and ∠3 are also complementary angles. This is because the measure of

∠2 will be equal to the measure of

∠1 (since they are congruent), and thus their combined measure with

∠3 will also add up to 90 degrees, making them complementary as well.

A pyramid has all sides that are equilateral triangles. Each triangle has side lengths of 9 centimeters. If the surface area of the pyramid is 140 4 square centimeters, what is the slant height of the pyramid

Answers

Obviously it would be 38

A pyramid has all sides that are equilateral triangles. Each triangle has side lengths of [tex]9[/tex] centimeters. If the surface area of the pyramid is [tex]140.4[/tex]square centimeters, the slant height of the pyramid  is [tex]Slant height= 2*(140.4-81\sqrt{3} )/27[/tex]

To find the slant height of the pyramid, we first need to determine the lateral area of one of the triangular faces of the pyramid.

Since all sides of the equilateral triangle have a length of [tex]9[/tex] centimeters, we can use the formula for the area of an equilateral triangle, which is:

[tex]A=\sqrt{3} /4*side length^{2}[/tex]

Substituting the given side length [tex]9[/tex] centimeters into the formula:

[tex]A=\sqrt{3} /4*9^{2} \\A=\sqrt{3} /4*81\\ A=81\sqrt{3}/4[/tex]

Now, since there are four equilateral triangular faces on the pyramid, the total lateral area of the pyramid is [tex]4*81\sqrt{3}/4=81\sqrt{3}[/tex] square centimeters.

Given that the total surface area of the pyramid is [tex]140.4[/tex] square centimeters, we subtract the area of the base (which is also an equilateral triangle) from the total surface area to find the lateral surface area:

[tex]Lateral surface area=Total surface area-Area of base\\Lateral surface area=140.4-81\sqrt{3}[/tex]

Now, the lateral surface area of a pyramid can be calculated using the formula:

[tex]Lateral surface area=12*perimeter of base*slant[/tex]

For an equilateral triangle, the perimeter is [tex]3*side length=3*9= 27[/tex]centimeters.

So, we have:

[tex]140.4-81\sqrt{3} =1/2*27*slant height\\140.4-81\sqrt{3} =27/2*slant height\\Slant height=2*(140.4-81\sqrt{3} )/27[/tex]

Calculating this expression gives us the value of the slant height of the pyramid.

COMPLETE QUESTION:

A pyramid has all sides that are equilateral triangles. Each triangle has side lengths of [tex]9[/tex] centimeters. If the surface area of the pyramid is [tex]140.4[/tex]square centimeters, what is the slant height of the pyramid?

the sun of 3 times a number and 5 is 2 times the number plus 15. what is half the number

Answers

3x+5=2x+I5
-5. -5
3x. =2x+10
-10 -10
3x-10=2x
-3x. -3x
-10= -1x
-1 -1
10=x

What happens when the smog lifts Los Angeles, California

Answers

It flies away and drifts away from the US... jk

So what REALLY happens is when the smog lifts in los angeles california, you see L.A. (UCLA). On a serious note, people would be crazy about the air because they can't trust the air they are breathing in. Hope this answers the question. Have a nice day.

Mrs. Myles gave the same test to both her first and third period class. In first period, the median was 75 and the range was 30. In third period, the median was 80 and the range was 60. Which is a true statement? A) The lowest score was in third period. B) The highest score was in first period. C) On average, first period did better than third period. D) There is not enough information to know if any of these is true

Answers

Well I did the math and it is none of the above
Its A) The lowest score was in Third period

If the diagonals of a quadrilateral are perpendicular, is the quadrilateral always a rhombus?

Answers

No, a quadrilateral with perpendicular diagonals is not always a rhombus. While a rhombus has perpendicular diagonals, other quadrilaterals like a square share this property.

While a rhombus does have perpendicular diagonals, other quadrilaterals, such as a square, also possess this property.

Therefore, if the diagonals of a quadrilateral are perpendicular, it does not exclusively imply that the quadrilateral is a rhombus.

Additional conditions, such as equal side lengths, are necessary to establish the quadrilateral as a rhombus.

Thus, perpendicular diagonals are a characteristic of both rhombuses and squares, but not solely indicative of a rhombus.

Here is an interesting exponential function, Complete the table with integer values of x from 0 to 4. Then graph the function. Does the graph show exponential growth, exponential decay, or neither? Explain your thinking.

please show an example of your graph

Answers

The interesting exponential function you are looking for is [tex] 1^{x} [/tex]

The fact about 1 is that, no matter to which power you raise it, answer will always be 1. Because 1 multiplied by 1 stays equal to 1.

So the graph of [tex] 1^{x} [/tex] will be a straight line parallel to x-axis and crossing the y-axis at y = 1, as shown in picture below.

As seen from the graph, the function is neither increasing nor decreasing, instead it is constant. 


on monday, it took helen 3 hours to do a page of homework. the next day she did the same number of exercises in 2 hours. if her average rate on monday was P exercises per hour, what was her average rate the next day in terms of P

please don't just answer, explain HOW to set up equation

Answers

The average rate is the number of equations divided by the time to do them.

The number of equations is the rate multiplied by the time.

On Monday, the number of equations is
.. number = rate*time = P*3
On Tuesday, the rate is
.. rate = number/time = (3P)/2 . . . . . Helen's average rate on Tuesday

what term should be added to create a perfect square trinomial ??

x^2+18x
i think it’s +81 but i’m not positive.

Answers

Yes you are correct. You take half of the x coefficient 18 to get 9, then you square 9 to get 81

x^2+18x+81 is a perfect square trinomial which factors to (x+9)^2

On Saturday, you spend $33, give $15 to a friend, and receive $20 for mowing your neighbor’s lawn. You have $21 left. Use two methods to find how much money you started with that day.

Answers


21+20-15-33=x

x=-7

Hope this helped☺☺

I’ve been looking at this for a while, and I can’t figure out the answers. Can someone walk me through it?

Answers

A , B and E - not a solution
C is a solution 6x+4x^3
D is a solution as well
It could be E,D,and B
Other Questions
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