It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 20 min, the bucket is 1/8 of the way full. What is the rate at which the water is leaking per hour? and what is the longest time he can be away from the house before the bucket will overflow?

Answers

Answer 1

Step-by-step explanation:

You start by asking yourself or as I call it crossmultiply

if 20 min the bucket is 1/8 full what about 8/8 or a whole

20×8/8×1/8

=160 min or 2.6 hrs

Answer 2

Answer:

[tex]2\frac{1}{2} hours[/tex]

Step-by-step explanation:

What is the rate at which the water is leaking per hour?

rate: [tex]\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr[/tex]

Write an equation that represents the relationship between the number of buckets filled, , in hours.

[tex]y=\frac{2}{5}x[/tex]

What is the longest that Jeremy can be away from the house before the bucket will overflow?

[tex]\frac{5}{2}[/tex] or  [tex]2\frac{1}{2} hours[/tex]


Related Questions

After the first four games of a professional football season, three players scored a total of 80 touchdowns.

Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns.
Andre Roberts scored the remaining touchdowns.

How many touchdowns did Andre Roberts score?
A.20 touchdowns
B.28 touchdowns
C.32 touchdowns
D.52 touchdowns

Answers

Answer:

b

Step-by-step explanation:

Andre Roberts scored a total of 34 touchdowns

An equation is an expression that shows the relationship between two or more variables and numbers.

The total touchdowns is 80.

Duke Johnson scored 14 of the touchdowns.

Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32

Let x represent the number of touchdowns scored by Andre Roberts, hence:

x + 14 + 32 = 80

x + 46 = 80

x = 34

Andre Roberts scored a total of 34 touchdowns

Find more about equation at: https://brainly.com/question/2972832

You are going to a private apple orchard to pick apples. There is a one-time entry fee that everyone pays, and you also pay a certain amount per pound of apples you pick. It costs $46 to buy 5 pounds of apples, and it costs $58 to buy 7 pounds of apples.

Answers

The one-time entry fee is $6 and the price per pound is $4.

In order to determine the one time entry fee and the cost to pick an apple per pound, two equations would be formed from the question:

x + 5y = 46 equation 1

x + 7y = 58 equation 2

Where:

x = one-time entry fee

y = price per pound

In order to determine the value of y, subtract equation 1 from 2

2y = 12

y = 12 / 2  = 6

In order to determine the value of x, substitute for y in equation 1:

x + 5(6) = 46

x + 30 = 46

x = 40 - 36

x = 4

For more information, please check: https://brainly.com/question/25802822

Trevor is fishing from a small boat. His fishing hook is 8 meters below him, and a fish is swimming at the same depth as the hook, 5 meters away. How far away is Trevor from the fish? If necessary, round to the nearest tenth.

Answers

A ray from Trevor to the fish is the hypotenuse side of a right triangle  with

vertices at Trevor's position, the hook and the fish.

The distance from Trevor to the fish is approximately 9.4 meters.

Reasons:

The distance of the hook below Trevor, y = 8 meters

The horizontal distance of the fish from the hook, x = 5 meters

Required:

The distance of the fish from Trevor

Solution:

A line drawn from Trevor's position to the fish, h, then to the hook, x, and

then to Trevor, y, forms a right triangle with the distance from Trevor to the

fish being the hypotenuse side, h.

Therefore, by Pythagorean theorem, we have;

h² = y² + x²

Which gives;

h² = 8² + 5²

h = √(8² + 5²) = √(89 ≈ 9.4

The distance from Trevor to the fish given to the nearest tenth , d ≈ 9.4 meters

Learn more about Pythagorean theorem here:

https://brainly.com/question/18206420

The Gonzales family has three children. On summer break they went to an amusement park they bought 3 child tickets for 18.50 and 2 adult tickets If they spent a total of 104.50 how much was the price of the adult ticket?

I need a complete equation and step by step explanation showing the numbers, not how you did it.

Answers

Answer:

= 24.5

Step-by-step explanation:

1 child ticket = 18.50 and they bought 3 so 18.50 x 3 = 55.5

55.5 + 2 adult tickets = 104.50

104.50 - 55.5 = 2 adult tickets

= 49 for 2 adult tickets

49/2 = 1 adult tickets

= 24.5

what's the difference between (F(x))^2 and F^2(x) ?​

Answers

Answer:

f^2(x) means f(f(x)). [f(x)]^2 means the square of the function.

Step-by-step explanation:

I am sorry to say so, but the other answer is rubbish.

there is no difference.

both mean the same thing : f(x) × f(x).

f(f(x)) is exactly what that expresses (f of f(x)).

another way of writing for this would be (f○f)(x).

but never ever f²(x).

please ignore the other answer.

How about: 37×13×78. Simplify this, if you please.

Answers

Answer:

37518

Step-by-step explanation:

Clear your calculator.  Enter 37, followed by ×, and then 13, followed by ×, and then 78 and the ENTER key.  Result:  37518.

I’ll give 5 stars but you have to explain how you got 4.

Answers

Answer:

.

Step-by-step explanation:

I used the division, 36/9, which has the same end result. It is a similar equation, because of the numbers.

Answer:

4

Step-by-step explanation:

[tex]\frac{0.36}{0.09}[/tex]

Expand  [tex]\frac{0.36}{0.09}[/tex]  by multiplying both numerator and the denominator by 100.  

= [tex]\frac{36}{9}[/tex]

Divide 36 by 9 to get 4.

[tex]4[/tex]

I hope this helps :)

Which expressions are equivalent to -2(2h+10)+4h

Answers

-4h-20+4h
combine like terms that equals zero
so 20 is your answer

okay what is 14.45 rounded to the nearest whole number​

Answers

Answer:

14

Step-by-step explanation:

When rounding, 5+ you round up. below that, you round down.

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is
53. What is the height of the tree rounded up to the nearest hundredth.

Answers

Answer:

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot.

I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since I'm finding the foot of the tree

Step-by-step explanation:

.

The graph of a function is shown on the grid.

Answers

Answer:

B (0, -2)

Step-by-step explanation:

Since the line intercepts at -2 on the y-axis, -2 is the y-intercept.

Four times a number decreased by 5 is 67. Find
the number…

Answers

Answer:

288

Step-by-step explanation:

Do the reverse.

67+5= 72

72*4= 288.

hope this helped :)

(7g+2)(5g+4)=

help please !

Answers

Answer:

35g^2+38g+8

Step-by-step explanation:

(7g+2)(5g+4)

35g^2+10g+28g+8

35g^2+38g+8

what is 17/5 - 16/5 as an improper fraction

Answers

Answer: 1/5 is a proper fraction, it can not be written as a mixed or improper fraction

Step-by-step explanation:

17/5 - 16/5

1/5

HI CAN YOU PLEASE HELP ME

Answers

Answer:

11 C

12 D

13 B

14 E

15 A

Step-by-step explanation:

pure definition case. there is nothing to solve, and not really anything to explain in addition to the assigned texts.

im stumped on this question. please help:)​

Answers

Answer:

(-2,6)

Step-by-step explanation:

the actual solution to the system of equations is (-(64/27),(56/9)).

however, we can estimate by looking at the graph. the solution is where both lines intersect, and that looks to be around (-2,6) as an approximation. hope this helps!

(-2 , 6 )

Sorry for the late answer!

May I please receive help?

Answers

Answer:

24°

Step-by-step explanation:

(4y-4)+(180-52)+3y = 180°

4y-4+128+3y = 180

7y+124 = 180

7y = 56

y = 8

SO ∠x = 3y

∠x = 3(8)

∠x = 24

Answer:

24

Step-by-step explanation:

to find the measure of angle X we must first find y

An exterior angle of a triangle is equal to the sum of the opposite interior angle

angle wyz is an exterior angle and the opposite interior angles are w and x

this means that angle wyz = angle w + angle X

if angle wyz = 52 , angle X = 3y and angle w = 4y-4 then 52 = 3y + 4y - 4

note that we just created an equation that we can use to solve for y

we now solve for y using the equation we just created

52 = 3y + 4y - 4

combine like terms

52 = 7y - 4

add 4 to both sides

56 = 7y

divide both sides by 7

we're left with y = 8

Now to find the measure of angle X we simply plug in the value of y into 3y because angle X = 3y

angle X = 3y

y = 8

angle X = 3(8)

multiply 3 and 8 to get 24

angle X = 24

and we are done!

In May, Ali was charging
$20 for individual
basketball lessons and in
August started charging
$25. What percent did
she increase her prices?

Answers

Answer:

25%

Step-by-step explanation:

25 - 20 = 5

20/4 = 5

100 / 4 = 25

Answer:

20+25%=25% Ali Has increased 25%

On a field trip, there were 5 girls for every 8 boys how many girls attended the 130-student field trip?

Answers

Answer:

5 / 13 is the fraction of girls on the field trip

5/13 * 130 = 50 girls on the trip

Or 10 groups of 13 and each group of 13 had 5 girls giving a total of

5 * 10 = 50 girls

I need help on this question

Answers

x = -7

hope this helps!

This is so stressful, i’ve tried everything and I don’t get this at all.

Answers

n = 5

These are similar triangles so their sides are proportional. The scale factor is the smaller triangle to the large triangle is

5/12.5 = 4/10 = 2/5

So if AB corresponds to QR (2 corresponds to n) then n = 5

A nursery has 15 bags of topsoil. Each planter holds 1/8 of a bag.

How many planters can be filled with the topsoil?


Enter your answer in the box.


|__| planters


MUST HAVE:
*Show work*

Answers

Answer:

120 planters can be filled with topsoil.

Step-by-step explanation:

Since each planter can hold 1/8th of a bag of topsoil, this means that one bag of topsoil can fill up 8 planters.

15 x 8 = 120, so this means that 120 planters can be filled with topsoil.

:)

29) What is the slope of the line x = -5?

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

x=-5 is not a function, therefore, the slope would be undefined.

PLEASE ANSWER THIS !!!
m>17.2
What word sentence represents this inequality?

3: A number is less than 17.2
2: A number is greater than 17.2
1: A number is at most 17.2

Answers

Answer:

2. "a number is greater than 17.2"

Step-by-step explanation:

m > 17.2 can be read by saying "the number m is greater than the number 17.2" which also can be read as 2. "a number is greater than 17.2"

PLS ANSWER
I WILL MARK AS BRAINLIST

Answers

Answer:

Option 3

Step-by-step explanation:

This may not be the most efficient way, but I solved each one and option 3 had the same answer as the question.

(BRAINLIEST TO THE PERSON WHO HELPS ME WITH THESE FOUR QUESTIONS)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable.

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote

4. If Kevin wrote 21 posts, how many did Cheryl write?

Answers

Answer:

Cheryl's posts + 7 posts =Kevin Posts

K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin

Operation=subtraction or addition because it could be K-C=7 or C+7+K

Cheryl wrote K-7=C posts

Cheryl wrote 7 posts

F(x) = 3x2+ 6x - 18 find f (10)

Answers

Answer:

f(10) = 342

Step-by-step explanation:

f(x) = 3x² + 6x - 18

f(10 = 3(10)² + 6(10) - 18

f(10) = 3(100) + 60 - 18

f(10) = 300 + 60 - 18

f(10) = 360 - 18

f(10) = 342

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? (1 point)

Answers

Answer: 5, -1/3 and 1/2

Did this question before and I have many study guide websites

Calculate the volume of a regular octahedron whose edges are all 10 cm (do not use the formula to find the volume)​

Answers

Answer:

V≈471.4cm³

Step-by-step explanation:

V =

[tex] \frac{1}{3} \times \sqrt{2} \times {a}^{3} [/tex]

V= 471.4

Answer:

Solution :

Here we have given that the all edges if octahedron are 10 cm. We need to find the volume of regular octahedron.

[tex] \rule{300}{1.5}[/tex]

As we know that the formula of volume of octahedron is :

[tex]\longrightarrow{\pmb{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]

Substituting all the given values in the formula to find the volume of regular octahedron :

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10)}^{3}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10 \times 10 \times 10)}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(1000)}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{ \sqrt{2} }{3} \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = 0.471404 \times 1000}}}[/tex]

[tex]{\longrightarrow{\sf{\underline{\underline{\red{Volume_{(Octahedron)} \approx 471.404 \: {cm}^{3}}}}}}}[/tex]

Hence, the volume of regular octahedron is 471.404 cm³.

[tex] \rule{300}{1.5}[/tex]

When the swimming pool is 25% full, it takes 2250 cubic meters (m3) to fill it up from that point. When it is full, it can be emptied at a rate of 120 m3/h. How many hours does it take to empty an 80% full pool?

Answers

Answer:

  20 hours

Step-by-step explanation:

The volume of water when the pool is 80% full can be found using the proportion ...

  2250/75% = v/80%

  v = (80/75)(2250) = 2400 . . . cubic meters

Emptying at the rate of 120 m³/h will take ...

  time = volume/rate

  time = (2400 m³)/(120 m³/h) = 20 h

It will take 20 hours to empty the pool from 80% full.

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