a pool is in shape of a rectangular prism. on monday water was pumped out of the pool at a constant rate starting at 12:00 pm to 12:15 pm the water in pool was 45 inches deep. at 12:35 pm the water in the pool was 41 inches deep by how many inches does the depth of the water decrease each minute ?

Answers

Answer 1

From 12:15 to 12:35, 20 minutes have passed. 4 inches of water have drained in this 20 minutes.

4 inches in 20 minutes equals 1/5 inch per minute.

1/5 inch is the amount of decrease per minute.

Answer 2

The depth of the water decreases by each minute will be 1 / 5 inches.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a pool is in the shape of a rectangular prism. on Monday water was pumped out of the pool at a constant rate starting at 12:00 pm to 12:15 pm the water in the pool was 45 inches deep. at 12:35 pm the water in the pool was 41 inches deep

From 12:15 to 12:35, 20 minutes passed. 4 inches of water have drained in these 20 minutes.

4 inches in 20 minutes = 4 / 20 = 1/5 inch per minute.

Therefore, the depth of the water decreases by each minute will be 1 / 5 inches.

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Related Questions

your mom has to pay two bills. Taxes are $483 and the heating is $230. You want to find out how much total your mom will pay. How can you use skip counting to add these two numbers?

Answers

483 pluse 230 = 713
400 pluse 200 = 600
80 pluse 30 = 110
3 pluse 0 =3
600 pluse 110 pluse 3 equals 713

What is the associative property

Answers

The associative property is the ability to group certain numbers together in addition/subtraction and multiplication problems because their operations are interchangable.

Example 1:

1 + 2 + 3

We can solve this by first doing 1 + 2 = 3, and then adding 3 + 3 = 6. OR we can start with 2 + 3 = 5, and add 5 + 1 = 6. We can even do, 3 + 1 = 4, then add 4 + 2 = 6. Either way, we end up with the same correct answer.

Example 2:

1 x 2 x 3

Same thing applies to multiplication. We can start by doing 1 x 2 = 2, and then 2 x 3 = 6. OR we can do 2 x 3 = 6, then 6 x 1 = 6. Just like the one above, we can also do, 3 x 1 = 3, then 3 x 2 = 6. Either way you group them, you get the same answer.

Example 3:

- 1 - 2 - 3

We can do - 1 - 2 = - 3, then - 3 - 3 = - 6. OR - 1 - 3 = - 4, then - 4 - 2 = - 6. OR - 2 - 3 = - 5, then - 5 - 1 = - 6. Again, same answer, three different ways to group it.

THIS DOES NOT WORK WHEN THE ADDITION/SUBTRACTION and MULTIPLICATION OPERATIONS ARE IN THE SAME PROBLEM

If given 1 + 3 - 7 x 4, you cannot rearrange the components like you can with the associative property. You will end up with drastically different answer when there is only one way to do this.

Here is an incorrect example of it.

1 + 3 + 7 x 4
1 + 10 x 4
11 x 4
44.

That is wrong. The correct way is

1 + 3 + 7 x 4
1 + 3 + 28

Now because all of the operations match you can use associative property to arrive at the same answer the three different ways.

4 + 28 = 32. OR 1 + 31 = 32. OR 29 + 3 = 32. See the difference in the answers?

Lisa arranges six square paintings as shown in the area of the arrangement is 225 cm² what would it cost Lisa to frame her arrangement at a cost of $.12 per centimeter

Answers

Final answer:

To frame Lisa's arrangement of six square paintings, the total cost would be $43.20.

Explanation:

To find the cost of framing Lisa's arrangement, we need to calculate the perimeter of the arrangement and then multiply it by the cost per centimeter. Since the arrangement consists of six square paintings, we can calculate the side length of one square by taking the square root of the total area of 225 cm². The side length of one square is 15 cm, so the perimeter of one square is 4 multiplied by 15 cm, which is 60 cm. Since there are six squares, the total perimeter of the arrangement is 6 multiplied by 60 cm, which is 360 cm. Finally, we multiply the total perimeter by the cost per centimeter of $.12 to find the total cost of framing, which is 360 cm multiplied by $0.12, equaling $43.20.

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the difference between the product of 6 and a number and negative two times the number

Answers

Will equal 8 times that same number. This is because you have 6x and are subtracting -2x. Subtracting a negative is like adding a positive.

Cody and Ashley are helping their dad fertilize the lawn. They have 3 1/3 pounds of fertilizer and 3 buckets. Each bucket will get the same amount of fertilizer. Cody measures 1 pound of fertilizer into each bucket. The following equation represents this situation, where x represents the additional amount of fertilizer each bucket will get. 3 (x+1) = 3 1/3

How much more fertilizer should each bucket get?
A. 1/9 of a pound
B. 2/3 of a pound
C. 2/9 of a pound
D. 1/3 of a pound

Answers

I believe your answer is A, one-ninth of a pound.

Answer:

1/9 pound

Step-by-step explanation:

Native Americans once lived near Cartersville, Georgia, in an area that is now a state park. They constructed burial mounds that often contained artifacts, such as beads, feathers, and copper ear ornaments. One of the park's mounds is 63 feet in height. Be a Math Detective. If the top of the mound is rectangular in shape with a perimeter of 322 yards, what could be the side lengths of the rectangle?

Answers

Final answer:

The sides of the rectangle atop of the mound could be multiple pairs of measurements. One such possible example is 100 yards by 61 yards which satisfy the perimeter equation, given the perimeter of the rectangle is 322 yards.

Explanation:

The question is asking about the side lengths of the rectangular top of an ancient mound in Cartersville, Georgia. This is a math problem that uses the concept of perimeter.

The perimeter of a rectangle is given by the formula: P = 2l + 2w where P is the perimeter, l is the length, and w is the width. We know that the perimeter of the rectangle is 322 yards. We can solve for the sides (length and width) by setting up equations using various combinations of numbers that, when plugged into the formula, result in a sum of 322.

It's important to note that we won't have a unique solution to this because a rectangle's perimeter doesn't determine its side lengths uniquely, but only within certain limits. So, there could be multiple correct answers.

For example, if we consider the length to be 161 yards, and the width to be 0 yards, it would still satisfy the perimeter equation. But since width cannot be zero, we can suppose the length to be longer side and width to be smaller, say 100 yards and 61 yards, which also add up to produce a perimeter of 322 yards. So, one possible solution is 100 yards by 61 yards.

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the drawing is composed of a rectangle and a semicircle 18 cm 22 cm

Answers

What do you need?
The perimeter is L + w + L + perimeter of a semicircle.
L = 22 cm
W = 18 cm
Perimeter can be one of two answers. You need to specify where the semicircle is. Formula for semicircle is
pi * r
r = 18/2 = 9 or
r = 22/2 = 11
So the perimeter of the semi circle is pi * 9 = 25.12 The total Perimeter = 22 + 22 + 18 + 25.12 = 87.12

It can also be 22 + 18 + 22 + 34.54 = 96.54 There are even more possiblities for perimeter. I would have the same problem if you asked about area.

Why not put more details in and I'l give you the correct answer. Here is what we need to know
1. Where is the circle on the 22 cm side or the 18 cm side?
2. What are you looking for: perimeter or area? As soon as you answer these I'll be back.

Find the value of X in the isosceles triangle shown below. How do I find X?

Answers

To get the value of x you need to use the Pythagorean Theorem

a²+b²=c² → 3²+b²=6.708204² (√45)
9 +b² =45.000001
-9 ↓ ↓-9
---------------------------
zero pair √b² = √36.000001
b = 6
One side of the isosceles the x is 6, but we need the whole part so for last you just multiply 6×2= 12
The answer is...... X=12

what is produced in photosynthesis

Answers

Photosynthesis produces glucose from carbon dioxide and water.

Hope this helps!

Answer:

The answer is oxygen and glucose

Step-by-step explanation:

Science man

can someone please help me?

Answers

Comment
The diameter of the large circle = 3 diameters of the small circle.
The radius of the large circle = 3 radii of the small circles.

Step one
Find the radius of the large circle.
r_small = 5 cm Given
r_large = 5 * 3 cm Construction
r_large = 15 cm

Step Two
Find the Area of the large circle
Area = pi * r^2
Area = 3.14 * 15^2
Area = 3.14 * 225
Area = 706.5.

Step Three
Find the area of the 7 small circles.
r = 5 cm given
pi = 3.14

Area = 3.14 * 5^2
Area = 3.14 * 25
Area = 78.5 cm^2

Area of 1 circle = 78.5 cm^2
Area of 7 circles = x Cross multiply
x * 1 = 78.5 cm^2 * 7
x = 549.5 cm^2

Step four
Find the area of the 6 congruent shapes (one of which is shaded).

Area of the six congruent shapes = area of the large circle - area 7 small circles.

Area of seven large circle = 706.5 cm^2
Area of 7 small circles = 549.5 cm^2 Subtract
Area of 6 congruent shapes 157 cm^2

Step 5
Find the area of the shaded area
6 congruent shapes = 157 cm^2 Cross multiply
1 shaded = x

6x = 1 * 157 Divide by 6
x = 157 / 6
x = 26.166667 cm^2 <<<<<<<<<<< answer

If your answer is in terms of pi then the answer us

X = 50 pi / 6 or 25 pi / 3 Alternate possibilities.

Susan received grades of 78, 93, 82, and 76 on four math exams. What is the lowest score she can receive on her next math exam and have an average of at least 85 on the five exams?

A) 96
B) 94
C) 92
D) 90
E) 88

Answers

Answers:
Choice A) 96

==========================================

Explanation:

The original list of scores is {78, 93, 82, 76}
Add x to the list to get this new list {78, 93, 82, 76, x}

Let's find the average of the new set
Add up the values and divide by 5. We force this average to be 85 since this is the grade Susan wants
(78+93+82+76+x)/5 = 85
(329+x)/5 = 85
329+x = 85*5
329+x = 425
x = 425-329
x = 96

So if Susan gets a 96 or greater on the fifth test, then she'll have an average of at least 85 (that score or greater)

What does volume mean

Answers

Volume is the amount of space inside a solid figure like a ball or a cube ect.

Hope this Helps!!

Volume is the amount of space an object has

Which is an equation of the given line in standard form?

A. -6x+5y=13
B. -6x+7y=-11
C. -6x+7y=11
D. -7x+6y=-11

Answers

The slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The coordinates of the points:
[tex](-3;\ -1)\to x_1=-3;\ y_1=-1;\ \left(\dfrac{1}{2};\ 2\right)\to x_2=\dfrac{1}{2};\ y_2=2[/tex]

Substitute:
[tex]m=\dfrac{2-(-1)}{\frac{1}{2}-(-3)}=\dfrac{3}{3\frac{1}{2}}=\dfrac{3}{\frac{7}{2}}=3\cdot\dfrac{2}{7}=\dfrac{6}{7}[/tex]

We have:
[tex]y=\dfrac{6}{7}x+b[/tex]

Substitute the coordinates of the point (-3; -1) to the equation of the line:

[tex]-1=\dfrac{6}{7}\cdot(-3)+b\\\\-1=-\dfrac{18}{7}+b\ \ \ |+\dfrac{18}{7}\\\\b=\dfrac{11}{7}[/tex]

Therefore we have:
[tex]y=\dfrac{6}{7}x+\dfrac{11}{7}\ \ \ |\cdot7\\\\7y=6x+11\ \ \ |-6x\\\\\boxed{-6x+7y=11}[/tex]

Answer: C. -6x + 7y = 11

If the sum of three numbers is 144, what is the average of the three numbers?

Answers

For 33, add consecutive odd numbers until the sum is greater than 33: 3 + 5 ... more efficient and which (if used properly) find all the answers for a given "n". ... 33 as the sum of 3 consecutive odd integers whose average is 11.

draw an angle measuring 700 degrees in standard position.

Answers

A screenshot of the angle is attached.

700 is almost 2 complete revolutions around the graph. 700-360=340; this means it is the same as going 20° backwards from the starting point.

Find the quotient: 744 ÷ 3.1
A) .024
B) 2.4
C) 24
D) 240

Answers

I think the answer is d)240

The answer is D) 240.

744 / 3.1 = 240
Check
3.1 * 240 = 744

744 = 744

Hope this helps you! (:
-Hamilton1757

Which of the following functions are quadratic functions? (Select all that apply.)
A.f(x) = 2x − 4
B.f(x) = 3 − x2
C.f(x) = 3x2 − x − 6
D.f(x) = 3 x2

Answers

C. because in order for it to be a quadratic the equation has to have a squared value
(ax2+bx+c)

He counted 206 wheels and 170 pedals. How many bicycles and tricycles does he have.

Answers

bicycle has 2 wheels and 2 pedals
tricycle has 3 wheels and 2 pedals

EQ 1 : 2b + 2t = 170 pedals

EQ 2: 2b +3t = 206 wheels

subtract EQ 1 from EQ 2

2b +3t = 206 - 2b + 2t = 170 = t=36

there were 36 tricycles

36 x 2 = 72 pedals

170 pedals - 72 = 98 pedals left
98/2 = 49 bicycles

36 Tricycles and 49 bicycles

What is the equation for the sum of three consecutive even numbers totaling 198.

Question 4 options:

n+n+1+n+2=198

n+n+2+n+4=198

3n=198

n+3=198

Answers

Let the first number be represented by x. Then the next is x+2, the next x+4. Add these 3 expressions together and equate the sum to 198.

Final answer:

Option B: n+n+2+n+4=198

The equation for the sum of three consecutive even numbers totaling 198 can be represented as

n + (n+2) + (n+4) = 198,

where n is the first even number.

Solving the equation, the first even number is 64, and the consecutive even numbers are 66 and 68.

Explanation:

The equation for the sum of three consecutive even numbers can be represented as n + (n+2) + (n+4) = 198, where 'n' is the first even number. Let's solve the equation:

Combine like terms: 3n + 6 = 198Subtract 6 from both sides: 3n = 192Divide both sides by 3: n = 64

So, the first even number is 64, and the consecutive even numbers are 66 and 68.

Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?

Answers

d= # of dimes
q= # of quarters

QUANTITY EQUATION:
d + q= 64

COST EQUATION:
0.10d + 0.25q= $9.25

STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2

(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40

STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q

Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40

0.15q= 2.85
divide both sides by 0.15

q= 19 quarters

STEP 3:
substitute q value in step 2 into either original equation to find d value

d + q= 64

d + 19= 64
subtract 19 from both sides

d= 45 dimes

CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25

ANSWER: There are 45 dimes and 19 quarters.

Hope this helps! :)

Haley has some cubes each cube has a side length of 4 inches what is the volume in cubic inches of each cube

Answers

Volume of a cube is a^3 so 4^3=64in^3

the formula for Volume is
V=s*s*s
where s represents a side
so...
V=4in.*4in.*4in.
4*4*4=64
V=64 in. cubed

∠YXZ and ∠ZXW are adjacent and supplementary angles. If m∠YXZ = 37°, what is m∠ZXW?

A. 143°
B. 37°
C. 53°
D. unknown

Answers

Answer: Choice A) 143 degrees

To get this answer quickly, you subtract the given angle (37) from 180 to get 180-37 = 143

The more longer answer would look something like this
x+37 = 180 .... the two supplementary angles add to 180 degrees
x+37-37 = 180-37 .... subtract 37 from both sides
x+0 = 143
x = 143
where x is the measure of angle ZXW

simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39)

Answers

[tex]5.23x + 3.76 - 3.67x + 6.39 \\ = 1.56x + 10.15[/tex]

Answer:

1.56x + 10.15

Step-by-step explanation:

(5.23x + 3.76) – (3.67x – 6.39)

(a + b) – (c – d) = a + b – c + d

Remove the parentheses and change the signs as needed:

5.23x + 3.76 – 3.67x + 6.39.

Group the like terms and simplify:

5.23x – 3.67x + 3.76 + 6.39

1.56x +10.15.

The simplified form of (5.23x + 3.76) – (3.67x – 6.39) is 1.56x + 10.15.

there are a total of 122 countries in Africa, Europe, and North America. Europe has twice as many countries as North America, and Africa has seven more than Europe. How many countries are in each continent? write an equation and solve it to answer the question

Answers

E = 2N

A = E + 7 = 2n + 7

n + 2n + 2n +7 = 122

The height of a model rocket is 4.5% of the height of the actual rocket. The model is 1.32m high. How high is the actual rocket? Please show your work.

Answers

1.32 meters = 4.5%x

x is the actual height of the rocket.

4.5% is really 0.045 (move the decimal place 2 times to the left).

1.32 = 0.045x
Divide both sides by 0.045.

x = 29.3

The height of the actual rocket is 29.3 meters.

To find the height of the actual rocket given the height of the model rocket, we can use the ratio between the two. By setting up and solving a simple equation, we can determine that the height of the actual rocket is 29.33 meters.

To find the height of the actual rocket, we need to start by determining the ratio between the height of the model rocket and the actual rocket. Given that the model rocket is 4.5% of the height of the actual rocket, we can use this ratio to solve for the height of the actual rocket.

Let's denote the height of the actual rocket as x. Since the model rocket is 4.5% (or 0.045) of the actual rocket's height, we can set up the equation:

0.045x = 1.32

To solve for x, we divide both sides of the equation by 0.045:

x = 1.32 / 0.045

Calculating this expression gives us the height of the actual rocket as 29.33 meters.

HEEEEEEEEEELLLLLLLLLLLLLLLLLPPPPPPPPPPPPPP PLZZZ

Use the expression 4(8 + 3x) to answer the following:

Part A: Describe the two factors in this expression.

Part B: How many terms are in each factor of this expression?

Part C: What is the coefficient of the variable term?

Answers

Asked and answered elsewhere.
https://brainly.com/question/9954194

The expression 4(8 + 3x) has two factors: the number 4 and the binomial (8 + 3x). The number 4 has one term, and the binomial has two terms (8 and 3x). The coefficient of the variable term 3x is 3.

In response to the question about using the expression 4(8 + 3x), let's break it down.

Part A: Describe the two factors in this expression.

The expression has two factors: the numeral 4 and the parenthetical (8 + 3x).

Part B: How many terms are in each factor of this expression?

The first factor, 4, consists of one term because it is a single number. The second factor, (8 + 3x), consists of two terms: the constant term 8, and the variable term 3x.

Part C: What is the coefficient of the variable term?

The coefficient of the variable term 3x is 3.

rectangle A is 15cm long. rectangle B is 40cm long and its width is 8 less than rectangle A. The area of Rectangle B is double Rectangle A. what is the width of Rectangle B?

Answers

The width is 24.

You can get this by setting the rectangle A width to x and the rectangle B width to x - 24. Then set the area of A multiplied by 2 equal to the area of B. You can then solve for x.

Y = 2x - 1 and y = x + 3 find the solution by graphing or substitution

1. ( 4,7)
2. ( 7,4)
3. ( -7,-4)
4. Infinite solutions

Answers

The answer is the 3rd one

Answer:

Ripboodap9urmy you are wrong utterly wrong. I had a feeling you were guessing why would you say it's the third choice out of the blue

Step-by-step explanation:

And person who's asking this believe me it is (4,7) I ligit just took the test and got it correct and it's the first choice.

Plzz give me brainlist!!

write the equation 12=3x + 6 in the form ax + b = c with c=12 what are the values of a & b?

Answers

12=3x+6
is effectively c=ax+b
meaning
a is 3
b is 6 and
c is 12

If c = 12,
[tex]ax + b = c \\ 3x + 6 = 12[/tex]

Answer : a = 3, b = 6

Hope this helps. - M

A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama use to make the cookies?

Answers

Multiply the total amount of 2/3 cups by the portion size of 3/4.

= (2/3)(3/4)
multiply numerators; multiply denominators

= (2*3)/(3*4)
= 6/12
simplify by 6

= 1/2 cup

ANSWER: Rama should use 1/2 cup of butter.

Hope this helps! :)

Other Questions

Identify the mood of the following sentence.Go home. solve for z (attachment) If your percentile on the SAT is 76, it means that you did as well as or better than: A.76 percent of last year's graduating class. B.24 percent of your state's college-bound seniors. C.24 percent of students throughout the country. D.76 percent of students who took the test. PLEASE ANSWER + BRAINLIEST!!!What is the value of 3x^2 - 5xy + 5y^2 for x = -6 and y = 2?A. -68B. -4C. 188D. 208 In which substance does phosphorus have a +3 oxidation state i need alot of help in math Which of the following gives all of the coefficients of the algebraic expression -2x^2 +17-15x+7xy If placed in tap water, an animal cell will undergo lysis, whereas a plant cell will not. what accounts for this difference? if placed in tap water, an animal cell will undergo lysis, whereas a plant cell will not. what accounts for this difference? the expulsion of water by the plant cell's central vacuole the relative inelasticity and strength of the plant cell wall the relative impermeability of the plant cell wall to water the fact that plant cells are isotonic to tap water The primary point of view of the author is that of A)a mound-builder seeking a safe location. Eliminate B)a student of the past speaking in our time. C)an early European settler looking for land. D)a Mississippian tribal member faced with extinction In 1884 who constructed a 10-story office building in chicago? Which of the following is NOT true about "yield"? a. The value of the actual yield must be given in order for the percent yield to be calculated. b. The percent yield is the ratio of the actual yield to the theoretical yield. c. The actual yield may be different from the theoretical yield because reactions do not always go to completion. d. The actual yield may be different from the theoretical yield because insufficient limiting reagent was used. If you add the lengths of the focal radii of an ellipse, what other value will you produce? 2a 2b 2c The eccentricity Given the equation f(x) = (x + 3)2 8, fill in the blanks: Axis of symmetry: x = Vertex:( , ) Number of real solutions: Nancy wove a pot holder with a area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions make the most sense for a potholder? Explain As a young adult, what is the most important thing you can invest in? A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional fence parallel to two sides. find the dimensions of the land that require the least amount of fencing. Decision support systems support optimization, satisficing, and heuristic approaches.a. trueb. false The pathogen that causes the appearance of genital warts in both males and females: How did the Civil Rights Movement inspire other minority groups in U.S. society? Why did it take so long for rights guaranteed by the Constitution become reality for minorities? Does everyone share in these equal rights? Which of the following statements does not accurately describe Paris when Napoleon III became emperorA. there were broad tree-lined boulevardsB .diseases were killing thousands of residentsC. the stinking sewers were crumblingD. the crime rate very high