The construction crew for a new house will dig a hole in the shape of a rectangular prism for the house's foundation. the hole will be 48ft long, 39ft wide, and 9ft deep. to haul away all of the dirt from the hole, a dump truck will take trips to a nearby landfill. the crew knows the amount of dirt the truck can hold each trip in cubic yards.

(a) find the volume of dirt that will be hauled away in cubic yards. use the table of conversion facts, as needed.
____yd3???

(b) each trip, the truck can haul away 11yd3 of dirt. to save gas, the crew wants to take as few trips as necessary to haul all of the dirt away. since all of the dirt needs to be hauled away, the crew might have to take a partial load for one trip. how many trips are needed to haul away all of the dirt? count each trip it makes the same, even if the truck isn't full.
_______trips???


c) if it costs $1175 for each trip that the truck makes, how much will it cost to haul away all the dirt?

$____ ???

Answers

Answer 1
The volume of the dirt hauled away is 624 yards³The number of trips needed to haul away the dirt is 57 tripsThe total cost of the trips is $66,975.What is the total cost?

The first step is to convert feet to yards.

1 feet = 1/3 yards

48 / 3 = 16 yards 39 / 3 = 13 yards 9/3 = 3 yards

Volume of the dirt hauled away = 16 x 13 x 3 = 624 yards³

Number of trips needed to haul away the dirt = 624 / 11 = 56. 7 = 57 trips

Total cost = 57 x 1175 = $66,975

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Related Questions

A jar contains 8 red marbles, 6 blue ones, and 6 yellow ones. One marble is chosen at random. The color is
recorded in the table, and then it is returned to the jar. This is repeated 40 times.
Red Blue Yellow
11
11
18

Answers

Answer:

Step-by-step explanation:

Comment

The theoretical probabilities are

Red: 8/20 = 0.4

Blue:6/20 = 0.3

yellow:6/20 = 0.3

The experimental Probabilities are

Red: 11/40 = 0.275

blue: 11/40 = 0.275

Yellow: 18/40=0.45

Both probabilities add to 1 as they should

The yellow is the highest disproportionate answer and it really shouldn't be. If anything it should be red. (0.45 > 0.4 comparing yellow experimental with red theoretical. The yellow is way more than it should be)

The number of trials is double the number of marbles in the jar. The number of trials would be double for each color in the jar. Both blanks are double.

Joe started 125 miles in 5 hours. How many miles would travel in 1 hour

Answers

do 125 divided by 5=25. so, in 1 hour you would drive 25 miles.

Answer:

Hope this helps :D

Step-by-step explanation:

Explanation on picture

The equation of a circle is given below:

x squared minus 8 x plus y squared plus 6 y minus 11 equals 0

Identify the center and radius of the circle.

Group of answer choices

center: left parenthesis 4 comma minus 3 right parenthesis
radius: 6

center: left parenthesis negative 8 comma 6 right parenthesis
radius: 6

center: left parenthesis 4 comma minus 3 right parenthesis
radius: 36

center: left parenthesis negative 8 comma 6 right parenthesis
radius: 36

Answers

The center of the circle will be (4, -3) and the radius of the circle will be 6 units. Then the correct option is A.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

The equation is given below.

x² - 8x + y² + 6y - 11 = 0

     x² - 8x + y² + 6y = 11​​

Then the center and the radius of the circle will be

x² - 8x + 16 + y² + 6y + 9 = 11​ + 16 + 9

             (x - 4)² + (x + 3)² = 36

             (x - 4)² + (x + 3)² = 6²

Thus, the center and the radius of the circle will be (4, -3) and 6 units respectively.

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A triangle has a base of 53 and a height of 21. What is the hypotenuse?

Answers

Answer:

Approximately 57

Step-by-step explanation:

The Pythagorean theorem says that a^2+b^2=c^2, where a and b are the base and height, while c is the hypotenuse. 53^2+21^2=2809+441=3250. The square root of 3250 is 57.008771255, which rounded to the nearest tenth is 57. Hope this helped!

Answer:

57.008771255 or 57

Step-by-step explanation:

53^2+21^2=57.008771255^2

What is 4 ( x − 1 ) ≥ 2 x + 6 as an improper fraction?

Answers

Answer:

18/5

Step-by-step explanation:

you have to times then divide

Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline as x approaches 0? 0 4 64 128

Answers

The limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64

Limit of a function

Given the following limit of a function expressed as;

[tex]\lim_{x \to 0} f(x)=4[/tex]

We are to determine the value of the function

[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]


This can also be expressed as

[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64[/tex]

Hence the limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64

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Find the mean of a student test scores if he earned 5, 93, 85, 90 and 91 points on five tests

Answers

Answer:

72.8

Step-by-step explanation:


[tex]1. \frac{1}{3} + \frac{3}{2} + \frac{6}{5} - \frac{1}{2 = } [/tex]
[tex]2. \frac{7}{5} - \frac{4}{2} + \frac{4}{5} - \frac{3}{2} = [/tex]
[tex]3. \frac{9}{8} + \frac{7}{8} - \frac{6}{7} + \frac{8}{7} + \frac{1}{3} = [/tex]
[tex]4. \frac{11 }{8} + \frac{11}{5} + \frac{8}{5} - \frac{9}{6} - \frac{5}{3} = [/tex]
can you please solve it​

Answers

Answer:

1. 3.33333333333

2. -1.3

3. 2.61904761905

4. 2.00833333333

1. How many ways can Grant arrange 3 of his 10 plants on a window ledge?


2. A parade organizer received 8 entries for floats. How many ways can he arrange 4 floats out of the 8 entries?


3. Express 4! in expanded form.


4. The number of ways 15 members of a 24-member club can be arranged. ( use permutation notation). PLEASE HELP ME!! and thankyou

Answers

The number of ways that Grant can arrange 3 of his 10 plants on a window ledge is 120 ways

How to solve the combination problem?

The number of ways that Grant can arrange 3 of his 10 plants on a window ledge will be:

= 10!/(10! - 3!)3!

= 10!/7!3!

= (10 × 9 × 8)/(3 × 2)

= 120

When the parade organizer received 8 entries for floats, the number of ways that he can arrange 4 floats out of the 8 entries will be:

= 8!/(8! - 4!)4!.

= 8!/4!4!

= (8 × 7 × 6 × 5)/(4 × 3 × 2)

= 70

4! in expanded form will be:

= 4 × 3 × 2

= 24

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what is the slope of (4, −6) and (0, 2)

Answers

Step-by-step explanation:

please mark me as brainlest

Does anyone know the answer to this ?

Answers

Answer:

5182

Step-by-step explanation:

To figure out the mean of a number, you must add all of the numbers together and divide by the amount of numbers you added up.

To find the total sum, we just need to reverse this process.

We are already given the final number so all we have to do is multiply the mean by 100 and we have our answer of 5182.

Hope this helps :D

In a coin box there are 20-cent, 50-cent and $1 coins. The number of 20-cent coins is 2x, the number of 50-cent coins is y and the number of $1 coins is 4x. If the total value of the coins is $58.80, what is the total number of coins?

Answers


13 coins (50 cent)

24 coins (20 cent)

A typewriter types 750 words per hour. If she works for 8 hours a day, find the number of words she type
in a day.

Answers

Answer:

8,000 words

Step-by-step explanation:

If a typewriter types 750 words per hour and she types 8 hours a day she would write 8,000 words a day because 750 x 8 = 8,000.

Can someone please help? This is sooooooooo hard!!! :(

Answers

Answer:

BD = BE

Step-by-step explanation:

If BD = BE , angle BED = angle BDE.

Because they are in a same triangle.

And also they are congruent.

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?


Answers

Therefore, 110 calories are in 1 serving of milk.

Given, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda.

Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk.

Marian consumes 510 calories by drinking 3 servings of milk and 1 soda.

What are Linear Programming problems?

Linear programming, commonly known as LP, is a straightforward technique for representing complex real-world interactions by means of a linear function.

Now,

Let the calories in one serving of milk be x

Let the calories in one serving of juice be y

Let the calories in one serving of soda be z

For Joe, the equation to show the amount of calories is

2x + y + z = 530 -----(1)

For Darius, the equation to show the amount of calories is

x + 2y = 370 ------(2)

For Marian, the equation to show the amount of calories is

3x + z = 510 ------(3)

Now, y=370/2-x/2 and z=510-3x substitute in the equation 2x + y + z = 530.

2x+185-0.5x+510-3x=530

⇒695-1.5x=530

⇒1.5x=165

x=110 calories

Hence, 110 calories are in 1 serving of milk.

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Anna and Brian share £24.50
in the ratio 2:5. How much
does each person get?

Answers

Anna gets £7
Brian gets £17.50

2+5=7
24.50 divide 7= 3.50
3.50 x 2 = 7
3.50 x 5 = 17.60

And to check if it’s correct do 17.50 + 7 = 24.50

Select the elements in A.
A = {x: 10 < x < 30}
= {x:x is a square number}

Answers

Answer:

A= 4,5

Step-by-step explanation:

the required ans is above

Answer:

[tex]\{ 16, 25\}[/tex]

Step-by-step explanation:

[tex]x~ \text{is a perfect square and}~ 10 < x < 30 \\\\\text{The possible values of x are}:\\\\4^2 = 16\\\\5^2 = 25[/tex]

Simplify to create an equivalent expression. 2(-n-3)-7(5+2n)

Answers

Answer:

-16n-41

Step-by-step explanation:

Answer:

-16n - 41

Step-by-step explanation:

(2 • (-n - 3)) -  7 • (2n + 5)

-n - 3  =   -1 • (n + 3)

-2 • (n + 3) -  7 • (2n + 5)

-16n - 41  =   -1 • (16n + 41)

Use the leading term for your answer

-16n - 41

what letter and the answer

Answers

Your answer for this question should be A because you just need to count them and then your good
The answer is letter A.
The average amount of milk used for an orders of pancakes can be found by taking the total number of cups used for the 10 pancakes and take the answer divided by 10 (the amount of total pancakes)
We have 6 of 1/2 cups, 2 of 1/4 cups and 2 of 3/4 cups
So there are a total of [6•(1/2)]+[2•(1/4)]+[2•3/4]=5 cups for the total of 10 pancakes
Therefore, the average amount of milk used for an order of pancakes is 5/10=1/2 cups.

Which rule describes a translation 3 units down?
A (x, y) → (x+3, y + 3)
B (x, y) → (x, y - 3)
(x, y) → (x, y + 3)
D (x, y) → (x, -3y)

Answers

B; the y axis is what moves up and down

Please help me, I have more

Answers

Answer:

i dont have it the answer ofvthis

PLEASE HELP!!! LOOK AT PIC PLEASE!!

Answers

Answer: C, D

Step-by-step explanation:

Acute angles of right triangles are complementary, and the sine of an angle is equal to the cosine of its complement.

Make c the subject:

A=b+cd

Answers

C= ab/d

All you have to do is this! Please mark me as brainliest

Answer:

C = A/d - b/d or C = (A - b)/d

Step-by-step explanation:

A = b + cd

A - b = cd

A/d - b/d = c

The vertices of an isosceles triangle are a(3, 6), b(7, 2), and c(4, 3). what is the equation of the triangle's line of symmetry?
y = x + 1
y = x - 1
y = x
y = -x + 1

Answers

Based on the calculations, the equation of the triangle's line of symmetry is equal to: B. y = x - 1.

How to determine the equation of the triangle's line of symmetry?

First of all, we would determine the midpoint where the line of symmetry passes through points A and B:

Midpoint at point A = (3 + 7)/2 = 10/2 = 5.

Midpoint at point B = (6 + 2)/2 = 8/2 = 4.

Point D = (5, 4)

Mathematically, the standard equation of a line is given by y = ax + b.

D(5, 4); 4 = 5a + b   ....equation 1.

C(4, 3); 3 = 4a + b    ....equation 2.

Subtracting eqn. 2 from eqn. 1, we have:

1 = a

Next, we would find the value of b:

4 = 5a + b

4 = 5(1) + b

b = 4 - 5

b = -1.

Therefore, the equation of the triangle's line of symmetry is given by:

y = ax + b

y = x(1) + (-1)

y = x - 1.

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A motorbike was discounted by 10% and sold for $5220. What was the cost of the motorbike before the discount was applied?​

Answers

Answer: $5,800

So the motorbike was discounted by 10% and sold for $5220, that means $5220 is 90% of x. Let x be the original value. Now, set up a proportional equation. 5220/90=x/100. Multiply 5220 by 100, that will give you 522,000. Now let’s divide that by 90, and the answer will be $5800.

-4.625,-5.2,-4 4/5, -4 8/11 order least to greatest

Answers

Answer:

-4.625, -4 8/11, -4 4/5, -5.2

Step-by-step explanation:

-4 8/11 = -4.72727272723

-4 4/5 = -4.8

Pineapples were packed in three large crates. for each crate, the weight of every pineapple in the crate was recorded. here are three box plots that summarize the weights in each crate. select all of the statements that are true, according to the box plots. (select all that apply. ) the weights of the pineapples in crate 1 were the most variable. the heaviest pineapple was in crate 1. the lightest pineapple was in crate 1. crate 3 had the greatest median weight and the greatest iqr. more than half the pineapples in crate 1 and crate 3 were heavier than the heaviest pineapple in crate 2

Answers

The correct statements are:
the weights of the pineapples in crate 1 were the most variable.The heaviest pineapple was in crate 1.More than half the pineapples in crate 1 and crate 3 were heavier than the heaviest pineapple in crate 2.

What are the correct statements?

A box plot is used to study the distribution and level of a set of scores. The box plot consists of whiskers which measure the minimum and maximum numbers. The difference between these numbers is the range which measures variability.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.  The difference between the first quartile and the third quartile is the interquartile range.

For the first box plot:

Maximum number = 6Minimum number  = 1.5Range = 6 - 1.5 = 4.5Median  = 4First quartile = 3Third quartile = 4.5IQR = 4.5 - 3 = 1.5

For the second box plot:

Maximum number = 3.5Minimum number  = 1 Range = 3.5 - 1 = 2.5Median  = 2First quartile = 1Third quartile = 2.5IQR = 2.5 - 1 = 1.5

For the third box plot:

Maximum number = 5Minimum number  =2.5Range = 5 - 2.5 = 2.5Median  = 4First quartile = 3.5Third quartile = 4.5IQR = 4.5 -  3.5 = 1

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Order these numbers from least to greatest. 6.2052, 6.2, 6.75, 6.705

Answers

Answer:

6.2 , 6.2052 , 6.705 , 6.75

Step-by-step explanation:

Least to Greatest!

20 divided by tann(45°)

Answers

Answer:

20

Step-by-step explanation:

as we know

[tex] \tan {45}^{0} = 1 \\ [/tex]

20/ 1=20

is correct answer

What is the total number of different 10-letter arrangements that can be formed using the letters in the word FORGETTING?

Answers

Answer:

1814400

Step-by-step explanation:

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