Trucks are delivering gravel to a construction site each truck hold 7.5 cubic yards of gravel. The weight of 1 cubic yard of gravel is 1.48 tons. The gravel will be placed in containers that each hold 3.7 tons of gravel. how many contaoners of this size are needed to hold all the gravel from one truck

Answers

Answer 1

The first thing you must do is to calculate the weight of the gravel (w) that the truck holds (7.5 yards³). So, you have:

If the weight of 1 yard³ is 1.48 tons, then the weight of 7.5 yards³ is:

w=7.5x1.48 tons
w=11.1 tons

The problem says that the gravel will be placed in containers that each hold 3.7 tons of gravel,so, If they need 1 cotainer to place 3.7 tons, how many containers they need to place 11.1 tons?

1 container-------3.7 tons of gravel
x-------11.1 tons of gravel

x=(11.1x1)/3.7
x=11.1/3.7
x=3 containers

How many containers of this size are needed to hold all the gravel from one truck?

The answer is: 3 containers.

Related Questions

The area of a rectangular television screen is 3456 in^2. The width of that screen is 24 inches longer than the length. What is a quadratic equation the represents the area of the screen? What are the dimensions of the screen?

Answers

1. The problem says that the television has a rectangular shape. So, the formula for caculate the area of a rectangle is:

A=LxW

"A" is the area of the rectangle (A=3456 inches²).
"L" is the the length of the rectangle.
"W" is the width of the rectangle.

2. The width of the screen is 24 inches longer than the length. This can be expressed as below:

W=24+L

3. Then, you must substitute W=24+L into the formula A=LxW:

A=LxW
3456=L(24+L)
3456=24L+L²

4. The quadratic equation is:

L²+24L-3456=0

5. When you solve the quadratic equation, you obtain:

L=48 inches

6. Finally, you must substitute the value of the length, into W=24+L:

W=24+L
W=24+48
W=72 inches

7. Therefore, the dimensions of the screen are:

L=48 inches
W=72 inches

Final Answer:

Quadratic equation: [tex]$ x^2 + 24x - 3456 = 0 $[/tex]

Dimensions: Length = 48 inches, Width = 72 inches

Explanation:

To find the quadratic equation representing the area of the screen, we first need to express the area as a product of its length (L) and width (W). Given that the width is 24 inches longer than the length, we can represent the width as [tex]$ L + 24 $[/tex]. Thus, the equation becomes [tex]$ L \times (L + 24) = 3456 $[/tex], which simplifies to the quadratic equation [tex]$ x^2 + 24x - 3456 = 0 $[/tex], where x represents the length of the screen. Solving this equation yields the length x as 48 inches. Substituting this value back into [tex]$ L + 24 $[/tex] gives the width as 72 inches. Therefore, the dimensions of the screen are 48 inches by 72 inches.

PLEASE HELP ME! 50 POINTS IF YOU GET IT RIGHT!!

Darren flipped a quarter 40 times. The quarter landed on heads 65% of the time. How many times did the quarter land on tails ?

A 14

B 26

C 35

D 65

Answers

The correct answer is A, because if it was b, that would not be possible. Because the total is 40, the answer cannot be more than 20.

Solve these simultaneous equations:

5x+2y=24 and 4x+3y=10

Answers

From the second equation: y=(10-4x)/3
Substitute y to the first equation:
5x+2[(10-4x)/3] = 24

5x+[(20/3)-(8x/3)]=24

5x-(8x/3)=24-(20/3)

(15x-8x)/3=17.333

7x=17.333(3)

x=7.428

Using the second equation to find value of y:

y=(10-4x)/3; Substitute the value of x=7.428

y=[10-4(7.428)]/3

y= -6.571 (negative 6.571)

To solve the simultaneous equations 5x+2y=24 and 4x+3y=10, we use the elimination method, leading to a solution of x = 7.43 and y = -6.575.

To solve the simultaneous equations 5x+2y=24 and 4x+3y=10, we can use the method of elimination or substitution. Here, we will solve it using the elimination method.

Multiply the first equation by 3 and the second equation by 2 to make the coefficients of y equal in magnitude. This gives us 15x + 6y = 72 and 8x + 6y = 20.

Subtract the second new equation from the first to eliminate y. This gives 7x = 52.

Divide by 7 to solve for x, which gives x = 52 / 7 or x = 7.43 (approximately).

Substitute x = 7.43 back into one of the original equations to solve for y. Using the first equation, 5(7.43) + 2y = 24, we get 2y = 24 - 37.15, which simplifies to 2y = -13.15, and finally y = -6.575.

Therefore, the solution to the simultaneous equations is x = 7.43 and y = -6.575.

There are 18 girls and 12 boys in class. What is the probability that a new kid in senior class will be a boy?

Answers

there are 18 + 12 total students.

18 are girls and 12 are boys, since the total is 30 students, that's the amount of probable outcomes, and since there are 12 boys, that's the amount of favorable outcomes, thus

12/30 or 0.4, 0.4 * 100 is 40%.

99 POINTS! NEED HELP ASAP! WILL GIVE BRAINLIEST ANSWER!

Jenny is baking three dozen cookie sandwiches for her friend’s birthday party. She plans to transport the cookie sandwiches in the same food storage container but is not sure if all 36 will fit inside of the container.

Part A: Calculate the volume of one cookie sandwich to the nearest cubic unit. Use 3.14 for

Part B: Calculate the total capacity of the food storage container to the nearest cubic unit. Use 3.14 for [tex] use 3.14 for \pi
use this equation for Parts B and A[/tex]

Part C: Given your calculations regarding the volumes in Parts A and B, do you anticipate that Jenny will be able to transport all of the cookie sandwiches in one food storage container? In two or more complete sentences, explain your reasoning.

Answers

A) cookie = 1.5h and r =1
volume = PI x r^2 x h
volume = 3.14 x 1^2 x 1.5 = 4.71in^3 = 5 in^3 ( one cookie)

B) container volume = 3.14 x 3.5^2 x 5 = 192.3in^3 = 192 in^3

C) 36 cookies x 5in^3 = 180 in^3
this is less than the volume of the container so they will all fit

Alright to solve it

Part A)

C = 1.5

F =1

You will need to solve it for volume= length times width and times height

3.14 x 1^2 x 1.5

The answer you will get is 5 in^3

Part B) Just do the same proccess as i did on the first one

CV= 192 in^3

Part C)

C=36x5in^3

So this is going to be 180 in^3 because is the less volume.

Hope this helps

Tobey

A gift bag is shaped like a rectangular prism and has a volume of 1152 cubic inches. The width of the bag is w, the length is 2w+4, and the height of the bag is 18-w (which is greater than the width). What are the dimensions of the bag?

Answers

1. You must use the formula for calculate the volume of a rectangular prism, which is:

V=(h)(l)(w)

V: It is the volumen of the rectangular prism (V=1152 inches³).
h: It is the height of the rectangular prism (h=18-w).
l:It is the lenght of the rectangular prism (l=2w+4).

2. When you substitute these calues into the formula, you obtain:

V=(h)(l)(w)
1152=(18-w)(2w+4)(w)
(18-w)(2w+4)(w)-1152=0

3. Then, you should mutiply them:

36w²-2w³+72w-4w²-1152=0
32w²-2w³+72w-1152=0

4. When you factor, you obtain:

2(w-16)(w-6)(w+6)

w1=16
w2=6
w3=-6

5. The problem says that the height is greater than the width, therefore, the widht is:

w=6 inches

6. The length is:

l=2w+4
l=2(6)+4
l=16 inches

7. And the height is:

h=18-w
h=18-6
h=12 inches

What are the dimensions of the bag?

The dimensions of the bag are:

l=16 inches
h=12 inches
w=6 inches

Final answer:

In this high school math question, you will solve for the dimensions of a gift bag shaped like a rectangular prism using the given volume and expressions for width, length, and height.

Explanation:

The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. In this case, the volume of the gift bag is 1152 cubic inches, so we have 1152 = w(2w+4)(18-w).

Solving this equation leads to w = 8, which means the width is 8 inches, length is 20 inches, and height is 10 inches.

Therefore, the dimensions of the gift bag are 8 inches width, 20 inches length, and 10 inches height.

Po has a frame that is 9 in x 8 in. What is the maximum area the picture can have to fit in the frame? A) 63 sq in B) 72 sq in C) 81 sq in D) 96 sq in

Answers

B. 72. that seems to be a rectangle. area for a rectangle is Length times Width. so 9x8=72.

Answer:

B) 72 sq in

Step-by-step explanation:

The maximum size of the picture that can fit into the frame must be equivalent to the area of the shape. Given that the frame is 9 in x 8 in, it may be safe to conclude that the frame is a 4 sides plane shape, a rectangle.

The area of a rectangle is given as the product of it's length and breadth, which are 9 in and 8 in respectively. Hence, maximum area the picture can have to fit in the frame

= 9 in * 8 in

= 72 sq in

An ice-cream shop sold 2.87 gallons of rocky road ice cream yesterday. The shop sold 0.449 gallons of rocky road ice cream today. What was the total amount of Rocky Road ice cream sold yesterday and today? Enter your answer, as a decimal, in the box.

Answers

2.28 + 0.449 = 3.319

What is the factored form of 6x2 + 13x + 6? (x + 4)(x + 9) (2x + 3)(3x + 2) (2x + 6)(3x + 1) (6x + 1)(6x + 1)?

Answers

6x2 + 13x + 6 = (2x + 3)(3x + 2)

Answer: B

Step-by-step explanation:

just did on edge

How will buying auto insurance help you?

Answers

if you get in a wreck they help pay for the damage

When buying a (auto insurance), this can help you so as if you were about to get in a wreck, this insurance can help you pay to what ever happened, but it also depends on the case, either the other person will pay it though his own insurance, so yes, this would really help you.

If you see these clouds in the sky, which type of weather might you expect?

(Points : 3)
fog
no precipitation
heavy rain or snow
thunderstorms

Answers

The answer to your question is thunderstorms.
The picture is filled with a lot of dark clouds, in which there will be a probability for thunderstorms to occur. We all know that when there is lightning, thunder will occur after it. With the photo given, there will be the probability of thunderstorm with heavy rain.

A farmer can buy two types of plant food, mix a and mix
b. each cubic yard of mix a contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. each cubic yard of mix b contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. the minimum monthly requirements are 440 pounds of phosphoric acid, 990 pounds of nitrogen, and 200 pounds of potash. if mix a costs $20 per cubic yard and mix b costs $30 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? what is this cost?

Answers

Final answer:

To find the minimum cost of blending the plant food mixes, set up a system of equations to calculate the quantities of each mix needed. Solve the equations to find the values of x and y, then calculate the cost using the mix prices.

Explanation:

To find the minimum cost of blending the plant food mixes, we need to set up a system of equations and solve for the quantities of each mix needed. Let's let x be the number of cubic yards of mix a and y be the number of cubic yards of mix b that the farmer needs.

The total pounds of phosphoric acid required from mix a and mix b should equal the minimum monthly requirement of 440 pounds. This gives us the equation: 20x + 10y = 440.

The total pounds of nitrogen required from mix a and mix b should equal the minimum monthly requirement of 990 pounds. This gives us the equation: 30x + 30y = 990.

The total pounds of potash required from mix a and mix b should equal the minimum monthly requirement of 200 pounds. This gives us the equation: 5x + 10y = 200.

Solving this system of equations will give us the values of x and y. Once we have these values, we can calculate the cost by multiplying the quantity of each mix by their respective prices and adding them together.

x = y−4, 2x−5y = 3
Which one-variable linear equation represents the system of equations?
2(y-4)-5y = 3
2x-5(y-4) = 3
2x-5y = y-4
2x-5(x-4) = 3

Answers

x=y-4 Let's make this eqn 1 and

2x-5y=3 this eqn 2..

Two things are possible here...
Its either you substitute for x in equation 2... Or you substitute for y...

x=y-4 put this in the equation 2..

2x-5y=3.. Replace the x with (y-4)

2(y-4)-5y = 3...
Since this is In the option no point in substituting for y...

Hope this helped...?

The solution is Option A.

The value of the equation is 2( y - 4 ) - 5y = 3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the value of x = y - 4 be equation (1)

Let the value of the equation 2x - 5y = 3 be equation (2)

Now ,

We know the value of the equation x = y -4

Substituting the value of equation (1) in equation (2) , we get

2 ( y - 4 ) - 5y = 3

So , the equation has now become ,

2 ( y - 4 ) - 5y = 3

Hence , the value of the equation is 2 ( y - 4 ) - 5y = 3

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ6

Cylinder a has a radius of 6 cm. Cylinder b has the same height and a radius half as long as cylinder a. What fraction of the volume of cylinder a is the volume of cylinder b what fraction of the volume of cylinder is the volume of cylinder? Explain.

Answers

The formula for the volume of a cylinder is π × radius^2 × height. The π and height will remain the same, so the only difference will be in the radius. 6^2 = 36, and 3^2 = 9, so 9 is 1/4 of 36 (36 ÷ 4 = 9) which means that the answer is 1/4. I hope this helps!

Answer:

the answer is 1/4

Step-by-step explanation:

an architect created plans for a house using a scale factor of 1:16 . In the plans, the floor of the house has an area of 7 square feet. What is area of the floor in the actual house?

Answers

To figure this out you would need to create a rectangle with dimensions that give you an area of 7 ft.². The easiest example would be a rectangle that is one by seven. If the scale is 1:16, that means for every foot it is actually representing 16 feet. The actual length and width would be found by multiplying 1×16 and 7×16. The true dimensions then would be 16 x 112. Multiply this together to get a total area of 1792 ft.².

Answer:

The answer above me is correct

Step-by-step explanation:

Cause he big brain

Simplfy the expression: (x - 9)^2

Answers

The answer would be x^2-18x+81. This can be found be writing "(x-9)^2" twice, and distributing. Combine like terms, and you should get this answer.

Find the area of the figure.

Answers

Area of the big rectangle =
40yd x 36yd = 1440yd2

Area of the small rectangle =
20yd x 10yd = 200yd2

area of the figure = big rectangle - small rectangle

1440-200
=1240yd2

helpppppppppppppppppppppppppppppp

Answers

The answer is A. \sqrt(-108)=sqrt(-1*108)=sqrt(-1)*sqrt(108)=i*\sqrt(36*3)=i*\sqrt(36)*\sqrt(3)=6i*\sqrt(3). \sqrt(-3)=\sqrt(-1*3)=\sqrt(-1)*\sqrt(3)=i*\sqrt(3). \sqrt(-108)-\sqrt(-3)=6i*\sqrt(3)-i*\sqrt(3)=5i*\sqrt(3).

root (-108) -raiz (-3)
First we rewrite the expressions:
root (-36 * 3) -raiz (-3)
6 * root (-3) -raiz (-3)
5 * root (-3)
5 * root (3) * root (-1)
By definition:
i = root (-1)
Substituting:
5 * root (3) * i
Answer:
5 * root (3) * i
option 1

Which of the six trigonometric functions do not depend on the value of r?

Answers

If we construct a triangle in a circle of radius [tex]r[/tex], the radius of the circle will be the hypotenuse of our triangle, and the legs will be [tex]x[/tex] and [tex]y[/tex] as you can see in the picture.
Now we can construct our trigonometric ratios for our triangle as usual:
[tex]sin \alpha = \frac{y}{r} [/tex]
[tex]cos \beta = \frac{x}{r} [/tex]
[tex]tan \beta = \frac{y}{x} [/tex]
[tex]csc \beta = \frac{r}{y} [/tex]
[tex]sec \beta = \frac{r}{x} [/tex]
[tex]cot \beta = \frac{x}{y} [/tex]

As you can see the only two trigonometric functions that don't depend on the value of [tex]r[/tex] are tangent and cotangent.

x + y = 21 3y + x = 19 Which value of x is part of a solution to this system of equations?

Answers

we have that
x + y = 21
3y + x = 19

using a graph tool
see the attached figure

the solution is the point (22,-1)

the answer is
the value of x is 22

Final answer:

The value of x that is part of a solution to this system of equations is 22.

Explanation:

To find the value of x in the system of equations:

x + y = 213y + x = 19

We can use the method of elimination or substitution. Let's use substitution for this example:

Solve the first equation for y: y = 21 - x.Substitute the expression for y into the second equation: 3(21 - x) + x = 19.Simplify and solve for x: 63 - 3x + x = 19.Combine like terms: 63 - 2x = 19.Subtract 63 from both sides: -2x = -44.Divide by -2: x = 22.

Thus, the value of x that is part of a solution to this system of equations is 22.

Which expressions is not a polynomial

A. z + 1
B. 2x^4 - y
C. 6 + w
D. y^2 - ^3âˆšy + 4

Answers

dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

In the problem · N = 1, N must be _____. the additive inverse of the multiplicative inverse of the additive identity the multiplicative identity NEXT

Answers

The value N as shown in the question must be the multiplicative identity.

Multiplicative identity

The term multiplicative identity refers to that with which a number is multiplied and the result remains that number. Multiplying a number by its multiplicative identity returns the same value.

Therefore, the the problem, we can see that the value N as shown in the question must be the multiplicative identity.

Learn more about multiplicative identity: https://brainly.com/question/514731

Answer: the multiplicative inverse of 3/4

Step-by-step explanation: its right :)

There are 60 sixth graders, 50 seventh graders, and 70 eighth graders at your school. Every student gets entered in a raffle. What is the probability that an eighth-grade student will win the raffle?

Answers

There is a 10% chance that an eighth grader will in

7/18
Hope this helps:)

12 is 0.3% of what number?

Answers

Hello,

Here is your answer:

The proper answer to this question is "4,000".

Your answer is 4,000!

If you need anymore help feel free to ask me!

Hope this helps!

Answer:

4,000

Step-by-step explanation:

SHIFT 2: 18 25 56 42 29 38 54 47 35 30. SHIFT 2: 23 19 50 49 67 34 30 59 40 33. SHIFT 3: 19 22 24 40 45 29 33 29 39 59. SHIFT 4: 21 23 25 40 35 19 70 40 22 23. The summary statistics for all of the workers at a steel factory are shown. Four sample groups were taken from each of the four shifts. For which sample group is the mean closest to the population mean?

Answers

To answer this question you will need to calculate the mean for each of the Shifts and then compare those means to the mean of all the data given. I have attached a picture of the means for each shift and the population mean (all the data).

Shift 1 is the closest to the population mean. It is 37.4, and the population mean is 35.9.

How do you simplify (t^2 over 3)^5 ?

Answers

I believe it would be, (t^10 Over 243 )
Hope this helps
Btw- I used photo-math, its a app you should probably get

How can I find the measurements for this questions?

Answers

S +T add to 180°.
Since the trapezoid is isosceles, U = T, V = S.

a) T = 109°
b) U = 109°
C) V = 71°

The sequence an= 27(1/3)^n-1 is graphed below. find the average rate of change between n=2 and n=4

A. - 1/4
B. 1/4
C. -4
D. 4

Answers

the average rate of change, is pretty much just the "slope" of the graph, therefore since we know that when n = 2, y = 9, notice the point (2,9), and when n = 4, y = 1, notice the point (4,1), thus

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 2 &,& 9~) % (c,d) &&(~ 4 &,& 1~) \end{array} \\\\\\ % slope = m \stackrel{\textit{average rate of change}}{slope} = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-9}{4-2}\implies \cfrac{-8}{2}\implies -4[/tex]

A jar contains 3 red, 4 blue, and 2 white marbles. What is the probability that a marble drawn at random is not red?

Answers

2/3 is the probability that a marble drawn at random is not red.

Answer:

Probability that a marble drawn at random is not red = [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

Given : A jar contains 3 red, 4 blue, and 2 white marbles.

To find : What is the probability that a marble drawn at random is not red.

Solution : We have given that

Red marbles = 3.

White marbles = 2.

Blue marbles = 4

Total marbles = 9

Marbles that are not red = white + blue =2+4 = 6.

Probability that a marble drawn at random is not red = [tex]\frac{Number\ of\ marbles\ not\ red}{Total\ that\ number\ of\ marbles}[/tex].

Probability that a marble drawn at random is not red = [tex]\frac{6}{9}[/tex].

Probability that a marble drawn at random is not red = [tex]\frac{2}{3}[/tex].

Therefore, Probability that a marble drawn at random is not red = [tex]\frac{2}{3}[/tex].

Solve 5kx + 6 = 7kx for x

Answers

Right now we have:
5kx + 6 = 7kx
First, divide both sides by k to eliminate that variable:
5x + 6 = 7x
Then subtract 5x from each side:
6 = 2x
Lastly, divide each side by 2 to solve for x:
3 = x
Hope this helps!

First, you would subtract 5kx from 7kx and get 2kx. Then, you will divide 2k from 6 and get 3k=x.

Hope this helped!!
Xoxo~ Melis

Other Questions

Did Christina Aguliera have other jobs or careers before becoming a celebrity? Scientists studied reproduction in the New Zealand mud snail to answer the question, Are there benefits to reproducing sexually or asexually? Which of these hypotheses would least likely aid the scientists as they worked to answer the question? A. Sexual reproduction is advantageous over asexual reproduction because it reduces the rate of mutation accumulation. B. Asexual reproduction is advantageous over sexual reproduction because it allows the snails to produce more offspring. C.Sexual reproduction is advantageous over asexual reproduction because it allows for snails to have increased genetic variation. D.Asexual reproduction is advantageous over sexual reproduction because it decreases the snails need for social interaction. Nucleotides in dna are made of three basic components: a sugar called which comes after a period of recovery in the business cycle?depressionboomrecessionhyperinflation Which is expressed with the MOST concise language? A. The tardy policy should be revoked. B. We need to plan ahead for our field trip. C. The students protested against the tardy policy. D. The end result is a short story about an elephant. The next number in the arithmetic sequence 15, 22, 29, ___ is:A. 34B. 35C. 36D. 37 Why is crooks named called crooks and how does this reflect his personality in the book of mice and men According to Hamlet Fortibras is an admirable man. how does the sight of Fortinbras and his troops change hamlets attitude instead of relying upon a small, stable, well-paid, and will train or Force, the fast food industry seeks out part-time, unskilled workers who are willing to accept low pay. Teenagers have been the perfect candidates for these jobs, not only because they are less expensive to higher than adults, but also because their youthful inexperience makes them easier to control. PLEASE HELP ASAP!!!!! LOTS OF POINTS What is the difference between spyware and adware Choose the correct conditional tense form of the verb in parentheses. Ellos (saber) la verdad. sabra sabras sabramos sabran How did Asoka apparently feel after conquering Kalinga? Why did he feel that way? Talia has 80 pounds of soil she wants to divide it into bucket so that each bucket weighs 4/5 lb how many buckets will she need Which component of earth's motion causes the stars to rise earlier on successive nights? The broadest trade association in the united states today is Which account is an example of a contra-expense account? Factor completely: x2 + 6x + 8 * (x + 8)(x + 1) * (x + 2)(x + 4) * (x2 + 8)(x + 1) * Prime Figure A is reflected over the y-axis and then lowered 6 units. Which sequence describes these transformations. How does co2 move from your blood cells into your lung cells?