A mermaid has a terrarium that measures 42 inches × 10 inches × 9 inches. She also has a box that measures 3 inches × 3 inches × 3 inches. Every minute, the mermaid fills the box with sand from her backyard and then pours the sand into the terrarium. How many minutes does it take the mermaid to fill three-quarters of the terrarium with sand?

Answers

Answer 1

9514 1404 393

Answer:

  105 minutes

Step-by-step explanation:

The volume of the terrarium is ...

  V = LWH

  V = (42 in)(10 in)(9 in) = 3780 in³

The volume of a box is ...

  V = (3 in)(3 in)(3 in) = 27 in³

Then the number of boxes it takes to fill the terrarium is ...

  (3780 in³)/(27 in³/box) = 140 boxes

The mermaid wants to fill it 3/4 full, so only needs 3/4 this number of boxes. That is 105 boxes. At the rate of 1 per minute, ...

  it will take 105 minutes to fill 3/4 of the terrarium


Related Questions

HELP NEEDED!

Write down an algebraic expression for each of the following statements.

A. Subtract the cube root of the product of x and 3y from the square of the sum of a and b.

B. The total value of x 20-cent coins and y 5-dollar notes in cents.

Answers

Answer:

A)  [tex](a+b)^{2}- \sqrt[3]{x . 3y}[/tex]

B) 20 x + 500 y

Step-by-step explanation:

A. Subtract the cube root of the product of x and 3y from the square of the sum of a and b.  

A = The square of the sum of a and b is  [tex](a+b)^{2}[/tex]

B = The cube root of the product of x and 3y is  [tex]\sqrt[3]{x . 3y}[/tex]

They want us to subtract B from A so B - A, therefore the following.

[tex](a+b)^{2}- \sqrt[3]{x . 3y}[/tex]

B. The total value of x 20-cent coins and y 5-dollar notes in cents.

20x cents is already provided as they want the expression in cents. Moving on to the $5 dollar note. We will have to convert this $5 into cents in order to fulfill the question requirements.

Convert:

1 dollar = 100 cents

5 dollars = 100x5 = 500 cents

Therefore, 5y dollars = 500y cents. Finally, we end up with the following answer.

20 x cents + 500 y cents

20 x + 500 y

Mississippi has the lowest median income at 40.6 thousand dollars. Mississippi also has about 207 bachelor’s degrees per 1,000 people. What does the linear model estimate for the number of bachelor’s degrees per 1,000 people for Mississippi based on the median income? How good is this estimate?

Answers

Answer:

178

Step-by-step explanation:

Answer:

178

Step-by-step explanation:

I answered this so the other girl* can get the brainliest he deserves.

What is the value of z?
=

Answers

Answer:

[tex]z=133/6[/tex]

Step-by-step explanation:

All angles in a triangle added up are equal to 180 degrees.

We can make the equation:

[tex]2z+4z+47=180\\6z+47=180\\6z=133\\z=133/6[/tex]

Answer:

Step-by-step explanation:

We have 3 angles, 2z, 4z, 42

the sum of these angles equal to 180

2z+4z+42=180

6z=180-42

6z=138

z=138/6=23

z=23

7. A random selection will be made from a bag containing different
colored disks. Of the 25 disks in the bag, 5 are yellow,
so P(yellow) - 25
a. The probability that a yellow disk will be selected is O is
b. Complete the sentence to describe the likelihood of randomly
selecting a yellow disk,
It is
that a yellow disk will be randomly selected
from the bag.

Answers

There’s a 20% chance that the yellow disk will be selected from the bag.

Probability of yellow disk will be selected is  [tex]\frac{4}{5}[/tex]. probability [tex]\frac{5}{25}[/tex] that a yellow disk will be randomly selected from the bag.

What is probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.

Given

n(S) = 25

a. Probability of yellow disk will be selected is O is

n(E) = 25 - 5 = 20

P(E) = [tex]\frac{n(E)}{n(S)}[/tex] =  [tex]\frac{20}{25}[/tex] = [tex]\frac{4}{5}[/tex]

b. It is the probability [tex]\frac{5}{25}[/tex] that a yellow disk will be randomly selected from the bag.

Hence, Probability of yellow disk will be selected is  [tex]\frac{4}{5}[/tex]. probability [tex]\frac{5}{25}[/tex] that a yellow disk will be randomly selected from the bag.

Find out more information about probability here

https://brainly.com/question/11234923

#SPJ3

a bracelet is now reduced to £420.
this is 70% of the original price.

work out the original price of the bracelet.

Answers

Answer:

420÷70=6

6×100= 600

Step-by-step explanation:

not sure if it's correct tho

I NEED THIS FONE ASAP HELP!!!!!

Answers

it seems there is NO SOLUTION

The area of a circle is 36π in². What is the circumference, in inches? Express your answer in terms of \piπ.

Answers

Answer:

[tex]12\pi in[/tex]

Step-by-step explanation:

We are given that

Area of circle=[tex]36\pi in^2[/tex]

We have to find the circumference of circle in inches.

We know that

Area of circle=[tex]\pi r^2[/tex]

Using the formula

[tex]36\pi=\pi r^2[/tex]

[tex]r^2=36[/tex]

[tex]r=\sqrt{36}=6[/tex] in

Circumference of circle=[tex]2\pi r[/tex]

Using the formula

Circumference of circle=[tex]2\pi (6)=12\pi in[/tex]

Hence, the circumference of circle=[tex]12\pi in[/tex]

.
The maximum marks of each subject are 150. A student scores 80% in Maths. In English, he scores 70% of his
score in Maths and in
Hindi, he scores 75% of his score in English. Find his score in each subject.​

Answers

Answer:

Maths = 120

English = 84

Hindi = 63

Step-by-step explanation:

First, solve for Maths since the others require that answer.

Using decimals, 80% of 150 can be written as 0.8 x 150 = x (where x is 80% of 150).

0.8 x 150 = x

120 = x

Since you know the score for maths, you can find the score for english, which is 70% of 120.

0.7 x 120 = y

84 = y

Since you now have the score for English too, that can be used to find the score for Hindi, which is 75% of the English score (84)

0.75 x 84 = z

63 = z

PLEASE HELP I SUCK AT MATH

Answers

Answer:

wouldent that be C?

Step-by-step explanation:

Pleaseeee helppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

⦣ACB = 76º

Step-by-step explanation:

⦣DCB = ⦣BAD because one of the rules of a parallelogram is that opposite angles are equal

⦣BAD = 76º so ⦣ACB = 76º


A car drives 160 km in 2 hours.
What is the average speed of the car?

Answers

Answer:

The car travelled an average speed of 80 km/h.

Step-by-step explanation:

Distance travelled by the car = 160 km

Time taken by the car = 2 hours.

Average speed =?

Average speed = Distance/Time

Average speed = 160/2

Average speed = 80 km/h

The car travelled an average speed of 80 km/h.

EXPERTS!!! PLEASE HELP

Answers

Answer:

32, 47, x+17, 43

Step-by-step explanation:

just add or subtract by 17

what equation contains the given point ( -3,5)

Answers

Answer:

y = x + 8

Step-by-step explanation:

Answer:

To determine if a point is on a line you can simply subsitute the x and y coordinates into the equation. Another way to solve the problem would be to graph the line and see if it falls on the line. Plugging in will give which is a true statement, so it is on the line.

Step-by-step explanation:

Off the inter net... sorry

If 40 crayons cost $1.60, how much would 8 crayons cost?

Answers

Answer:

0.32

Step-by-step explanation:

1.60/4=0.04

0.04*8+=0.32

Write the slope intercept form of the graph. I will give brainliest

Answers

Answer:

Step-by-step explanation:

(0,3)  (3, 5)

(5-3)/(3-0)= 2/3

y - 3 = 2/3(x - 0)

y - 3 = 2/3x - 0

y = 2/3x + 3

Determine a series of transformations that would map Figure B onto Figure C

Answers

Answer:

Reflect across the y-axis. Then, translate 7 units up.

14. A real estate agent sells a house for $176,500. She earns a 3.5% commission. To the nearest dollar, how much does she earn? * A $61,775 B $6178 C $617,750 PLZ HELP ILL GIVE BRAINLIEST​

Answers

Answer: $6,178

Step-by-step explanation:

176,500 x 3.5%

3.5% = .035

176,500 x .035 = 6,177.5

$6,177.5 rounded = $6,178

Which has a larger surface area a prism or a cylinder? Explain

Answers

Answer:

A prism is a solid figure that has two parallel congruent sides that are called bases that are connected by the lateral faces that are parallelograms. ... A cylinder is a tube and is composed of two parallel congruent circles and a rectangle which base is the circumference of the circle.

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are

produced when the cost is $19. Round your answers to the nearest whole number

All work must be clearly shown, step by step, to receive full credit. Separate your work. Each new statement or

equation, must be on a new line.

Answers

Answer:

66 coolers

Step-by-step explanation:

C = 0.005x² - 0.3x + 17

When C = $19

19 = 0.005x² - 0.3x + 17

19 - 17 = 0.005x² - 0.3x

2 = 0.005x² - 0.3x

0.005x² - 0.3x - 2 = 0

x = -b ± √b² - 4ac / 2a

= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005

= 0.3 ± √ 0.09 - (-0.04) / 0.01

= 0.3 ± √ 0.09 + 0.04 / 0.01

= 0.3 ± √ 0.13 / 0.01

= 0.3/0.01 ± √0.13/0.01

= 30 ± 0.36/0.01

x = 30 ± 36

x = 30 + 36 or 30 - 36

x = 66 or -6

Number of coolers can not be negative

Therefore, number of coolers produced when the cost is $19

is 66 coolers

What is the median of 5,7,4,9,7,6,4,6

Answers

Answer:

6

Step-by-step explanation:

4,4,5,6,6,7,7,9 line them up from least to greatest then find the middle number

since 2 sixes are in the middle add them together and divide by 2 normally but these numbers are equal so the median is 6

Answer below ↓

Mean x¯¯¯ 6

Median x˜ 6

Mode 7, 4, 6

Hope this helps

Which is the correct answer?
A) 3.41 m
B) 2.29 m
C) 1.59 m
D) 2.71 m

Answers

Answer:

its b or c ( im not for sure tho)

Step-by-step explanation:

Write the equation of a line that is perpendicular to the given line and that passes through the given
point.
y=
-(4,-3)

Answers

Answer:

hopes this helps

Step-by-step explanation:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

in a school,7÷16of the students are girls. what fraction of the students are boys?
[tex]ln \: a \: school \: \frac{7}{16} of the \: students \: are \: girl \: what \: fraction \: of \: the \: students \: are \: boy[/tex]

Answers

Answer:

9/16

Step-by-step explanation:

Which of the following could be the side measures of a right triangle?

Answers

Answer:

c

Step-by-step explanation:

if you use the Pythagorean Theorem and take the sum of the square of the legs, it will equal the square of the hypotenuse in answer (c)

8² + 6² = 10²

64 + 36 = 100

100 = 100

Answer:

Step-by-step explanation:

C

2 points
A phone store is having a sale for 40% off. If a mobile phone has a sale
price of $180, what was the original price?"
S200
$280
$300
$320

Answers

It is $300 that is the original price of the phone.

which number line shows the solution to the inequality
5x + 3 ≥ - 17?​

Answers

Answer:

C.

Step-by-step explanation:

help, need instant answer will mark brainliest.​

Answers

Answer:

Step 1 is incorrect

3x +15= 2x+35

Answer: step 2

Step-by-step explanation:

Cuz the opposite of addition is subtraction so they should ve subtracted -2x from both sides and not add.

There are 104 coins in a bottle.

1/2 of the coins are £1 coins.

The rest of the coins are 20p coins.

Work out the total value of 104 coins.

Answers

Answer:

its easy solve it with calculator

Step-by-step explanation:

James has one 10p coin, one 50p coin and some 20p coins.
Altogether he has £2.00
How many 20p coins does he have?​

Answers

Answer:

James has 7 20p coins.

Step-by-step explanation:

£2.00

- 50p

--------------

£1.50

- 10p

--------------

£1.40

--------------

140/20

14/2

7 (20p)

30 times 40 divided by 5

Answers

Answer:

240 is the awnser hope i helped

Step-by-step explanation:

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