A concrete beam is used as a counterweight. The beam is 6 feet long with an 8-inch by 8-inch square base. If the beam has to be replaced by bags of sand, what is the volume (in ft^3) of the sand that will have the same weight as the beam?

Use the following densities for the materials involved (in pounds per cubic foot):

concrete 150
sand 100

Answers

Answer 1

4 cubic feet

Step-by-step explanation:

Step 1:

Length of the concrete beam = 6 feet

Side for the square base = 8 inch = 8/12 feet

So, volume of the concrete beam = 6*(8/12)*(8/12)= 2.67 cu ft

Hence mass of the beam = density of the beam * volume

= 150 * 2.67 = 400 kg

Step 2:

we need the the weight of sand equivalent to the concrete beam.

Mass of the sand bags = den of sand * vol

=> 100 * volume of sand = 400

=> Volume of sand = 400/100 = 4 cu feet.


Related Questions

a car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. write an equation to represent the distant d that the car travels in m minutes

Answers

Find how far the car traveled in one minute by dividing distance traveled by total time:

2 5/8 miles / 3 1/2 minutes = 3/4 mile per minute.

Now for distance (D) multiply miles per minute by number of minutes (m)

D = 3/4m

y=3/4 x-4
Any help?

(y=3
- x-4
4

Soo confused. What am I supposed to do?

Answers

Answer:

see graph of y=3/4 x-4

Step-by-step explanation:

Assuming you mean

[tex]y = \frac34x - 4[/tex]

Below is a graph of that one. The slope is 3/4 and the interception with the y axis is at y=-4. The equation is in its normal form y=ax+b with a=3/4 (slope) and b=-4 (y intercept), so no conversion needed.

You have to be careful on how you write these equations down. It might very well be that you meant:

[tex]y = \frac{3}{4x-4}[/tex] or [tex]y = \frac{3}{4x} - 4[/tex]

However, those are more complex so I'm hoping for the first one... ;-)

(X^2+2x+5)(2x) simplify this

Answers

Answer:

Step-by-step explanation:

(X²+2x+5)(2x)

= 2x(x²) +2x(2x) + 2x(5)

= 2x³ + 4x² + 10x


A box of chocolate has 45 pieces. 9 pieces have nuts in them, what percent of the candy is without nuts?

Answers

Answer:

80% of the candies are without nuts.

9/45 = 0.2

0.2 = 20%

The remainder is 80%

Which number is a rational number? A. B. C. D.

Answers

Answer:

a

Step-by-step explanation:

We can’t see the numbers next to the answer choices

KRISTIN SPENT 40$ on diapers. 8$ / package , how many packages did she buy

Answers

Answer:

5 packages                 . .

Step-by-step explanation:

Answer:

5 packages of diapers

GIVING BRAINLIEST Green Middle School has 270 boys, 250 girls, 26 teachers, and a supporting staff of 5 employees. The school uses an average of 126,776 gallons of water per week. Assuming that the water usage is proportional to the number of people in the school, about how much water do the students consume per month? a. 28,704 gal c. 478,400 gal b. 119,600 gal d. 507,104 gal

Answers

Answer:

b 119,600

Step-by-step explanation:

250+270+26+5=551 250+270 = 520 520/551 ~94%

94% of 126,776~ 119,600

Given a function described as equation y=3x+4, what is y when x is 1,2 and 3?

Answers

Answer:

x=1 y= 7

x=2 y= 10

x=3 y= 13

Step-by-step explanation:

y=3x+4

y=3(1)+4

=7

y=3(2)+4

=-10

y=3(3)+4

=13

For this case we have the following equation:

[tex]y = 3x + 4[/tex]

We must find the value of the variable y when the variable x takes certain values.

For [tex]x = 1:[/tex]

[tex]y = 3 (1) +4\\y = 3 + 4\\y = 7[/tex]

For [tex]x = 2:[/tex]

[tex]y = 3 (2) +4\\y = 6 + 4\\y = 10[/tex]

For [tex]x = 3:[/tex]

[tex]y = 3 (3) +4\\y = 9 + 4\\y = 13[/tex]

Thus, the values of y are 7,10,13 respectively.

Answer:

[tex]y = 7\\y = 10\\y = 13[/tex]

A car traveled 360 km in 6 h. A train traveled 400 km in 8 h. A boat traveled 375 km in 5 h. Which had the fastest average speed?

Answers

Answer:

boat 75

Step-by-step explanation:

Car--360/6=60

Train--400/8=50

Boat--375/5=75

Answer:

boat traveled the fastest by 35km/h

Step-by-step explanation:

car traveled= 360

                        6

train traveled= 400

                           5

boat traveled= 375

                           5

traveled:

Car= 60km/h

train= 50km/h

boat= 75km/h

Therefore BOAT WITH 75km/h has the FASTEST average speed

                                                                                                                           

Hope it is a proper explanation & correct answer

STAY SAFE

Kayla and he children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.

Answers

Answer:

Let x = the number of hotdogs

Let y = the number of tacos

3.5x+4y=63

x=y+3

Final answer:

This solution defines a system of equations for a problem about purchasing hotdogs and tacos at a certain value. Quantity and value equations are defined as H=T+3 and 3.50H+4T=63 respectively, with H and T standing for number of hotdogs and tacos.

Explanation:

The question asks us to define a system of equations for Kayla's purchase of hotdogs and tacos. Let's denote the number of hotdogs as H and the number of tacos as T. As per the question, we have two conditions: Kayla spent $63 in total and she bought 3 more hotdogs than tacos. Therefore we can define below equations:

Quantity equation: H = T+3 (Kayla bought 3 more hotdogs than tacos)Value equation: 3.50H + 4T = $63 (Total money spent)

These two equations can then be solved simultaneously to find the number of hotdogs (H) and tacos (T) Kayla bought.

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I don’t know how to figure out this question.

Kim wrote 57,000 in expanded form. Which number is NOT one of the numbers that Kim wrote?
A. 50,000
B. 7,000
C. 60
D. 4

Answers

57,000 in expanded form is 50,000 + 7,000. 60 and 4 have nothing to do with it

In expanded form, 57,000 equals 50,000 + 7,000 therefore, number 60 and 4 are NOT one of the numbers that Kim wrote.

What is meant by expanded form?

The expanded form of a number is the division of a number into place values, such as ones, tens, hundreds, thousands, ten thousand, and so on.

The number represented by the sum of each digit multiplied by its place value is known as its expanded form. When you write a number in expanded form, you write the value of each digit and then add them together to find the sum.

The number 1,24 has the following values, for example: it is in the thousands place, the value of one is written as 1,00. thus it is in the hundreds place, the value of 2 is written as 20.

Therefore,

Expanded Form of 57,000

57,000 =  50,000 + 7,000.

Hence, In expanded form, 57,000 equals 50,000 + 7,000.

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there were 15 questions of which nicole answered 8 incorrectly at this rate how many should she expect to answer correctly if she answers a total of 135 questions

Answers

Answer:

72 Wrong, so find how many are right with 135 total

Step-by-step explanation:

It's similar to saying if she answered half and this continued how many would she have answered after answering a bigger number, you would say half.

so she answered 8/15 incorrectly a a smaller number, so she will answer that ratio with a bigger number.  If it helps 8/15 is about 53%. just like 1/2 is half.  So to find half you would multiply something by 1/2 and int he same way you multiply something by 8/15 to get that proportion of it.

so 135, if you take this 53%, or simply multiply it by 8/15 you get your answer of 72.  So 72 wrong so al others are right, which you get with 135-72 = 63.

You could also do 135*(1-8/15) = 135 * 7/15.  if you ever want to find something NOT part of the proportion you do 1 - that proportion.

The length of a rectangle is 6 inches more than the width. The perimeter is 40 inches. Find the length and the width of the rectangle

Answers

Answer:

lenght = 13 inches

width = 7 inches

Step-by-step explanation:

p= 2(l+b)

let lenght be x

width be y

so x=y+6

40 = 2(y+6 + y)

40= 2( 2y+6 )

20= 2y +6

2y = 20-6

2y=14

y=7

x=7+6=13

so lenght is 13 inches

width is 7 inches

Final answer:

The problem is about finding the length and width of a rectangle given its perimeter and their relationship. Solve it by forming an equation from the given information and solving for 'x'. The resulting dimensions are a width of 7 inches and length of 13 inches.

Explanation:

The question given is a problem in algebra and pertains to the dimension of a rectangle. To solve it, let's assume the width of the rectangle to be 'x'. As per the information given, the length can be written as 'x+6'. The formula for the perimeter of a rectangle is 2*(Length + Width).

In this problem, we have perimeter = 40 inches. By substituting the values of length and width into the formula, we get: 2*(x + (x+6)) = 40.

By simplifying, you find that 2*(2x+6) = 40, which reduces to 4x+12 = 40. If you subtract 12 from each side, you get: 4x = 28. Finally, dividing each side by 4 you find the width 'x' equals 7.

Substituting x=7 in length equation: length = 7+6 = 13. So, the dimensions of the rectangle are width = 7 inches, and length = 13 inches.

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Margaret makes bracelets and sells them to tourists. The function s(t) approximates how many bracelets Margaret makes per hour. The function W(h) represents how hours per week Margaret spends making bracelets. What are the units of measurement for the composite function s(W(h))?


bracelets over hour

hours over week

weeks over bracelet

bracelets over week

Answers

Answer: bracelets over week

Step-by-step explanation:

A composite function f(g(x)) is a function made by combining two functions, where one function (g(x)) is behaving like independent variable and the other (f) is dependent such that the domain of f becomes g(x).

Given : Margaret makes bracelets and sells them to tourists.

The function s(t) approximates how many bracelets Margaret makes per hour.

The function W(h) represents how hours per week Margaret spends making bracelets.

Here in s(W(h)) , the domain of s becomes W(h).

Thus, the units of measurement for the composite function s(W(h)) is bracelets over week.

Is 4÷2/7 the same as 4 groups of 2/7 yes or no explain your answer

Answers

Answer:

14

Step-by-step explanation:

4/(2/7)=(4/1)(7/2)=28/2=14

Each baby dinosaur made 15 paintings and each adult dinosaur made 7 paintings. The entire herd made
208 paintings in total, and there were 3 times as many baby dinosaurs as adult dinosaurs.
How many baby dinosaurs and adult dinosaurs were there?

Answers

Answer:

12

Step-by-step explanation:

baby = b

adult = a

b=3a

15*3a + 7a = 208

45a + 7a = 208

52a = 208

a=4

there were 4 adult dinosaurs

there were 12 baby dinosaurs

Answer:

12 adults 4 babies

Step-by-step explanation:

Brian drank 4.4 gallons of water today. There are approximately 3.8 liters in 1 gallon. How many liters did her drink? Round to the nearest hundredth.

Question 4 options:

0.6 L


7.33 L


0.86 L


1.16 L

Answers

Answer:

Step-by-step explanation:

16.72 or 17

Answer:

16.72

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, all you would have to do is multiply 3.8*4.4

3.8*4.4=16.72

However, I'm not sure why {maybe a typo?}, but 16.72--nor any other numbers similar are listed.

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Solve for x.

6.5 cm

8 cm

7.5 cm

7.2 cm

Answers

Answer:

  7.2 cm

Step-by-step explanation:

For the similar triangles, the ratio of the length of the bottom side to the right side is the same:

  bottom/right = (x cm)/(6 cm) = (12 cm)/(10 cm)

  x cm = (6 cm)(12/10) = 7.2 cm

_____

Technically, x = 7.2, not 7.2 cm.

Which of the following expressions have a quotient of −17?
Question 6 options:



A)
(−)7




B)
17

C)
1(−7)

D)
−(17)

E)
(−1)(−7)

Answers

Answer:

C = -6

Step-by-step explanation:

1 +-7 =-6:::::::::::::::::::

Denzel does not want to lock up his money in Investments that have a long maturity period, nor does he like to take big risks. So, he'd like to see

some moderate return on his investments in a year. He also has more faith in Investments issued by the government than those issued by

private companies. Which investment would be a good choice for Denzel?

A commodity stocks

B. retirement accounts

ec short-term bonds

D. US Treasury bonds

Answers

Answer:Its D, just took the test.

Step-by-step explanation:

Final answer:

The US Treasury Bonds is the best choice for Denzel's investment based on his preference for moderate risk, trust in government-issued investments, and a desire for a return within a year.

Explanation:

Based on Denzel's investment preferences, the ideal choice for him would likely be D. US Treasury bonds. US Treasury bonds are direct obligations of the federal government, making them quite secure because they carry the full faith and credit of the U.S. government. Also, given that these bonds often provide moderate returns and can be purchased with various maturity dates (including one-year bonds), they line up with Denzel's desire to see a return on his investment in a year and his reluctance to lock his money up for long periods without realizing gains.

It's worth noting that, while the other options listed might also be suitable investments for different scenarios, they do not align as well with Denzel's specific risk tolerance, investment timeline, and trust in government-issued investments.

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Find each function value f(7) if f(x) =5x

Answers

The value of f(7) is 35

Solution:

Given function is:

f(x) = 5x

We have to find the value of f(7)

The value of f(7) can be found by substituting x = 7 in given function

Plug in x = 7 in function

[tex]f(x) = 5x\\\\f(7) = 5(7)\\\\f(7) = 5 \times 7\\\\f(7) = 35[/tex]

Thus the value of f(7) is 35

Final answer:

To find f(7), substitute x = 7 into the function f(x) = 5x. The value of f(7) is 35.

Explanation:

To find the value of f(7) if f(x) = 5x, substitute x = 7 into the function. We get:

f(7) = 5(7)f(7) = 35

Therefore, the value of f(7) is 35.

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Dave drove 55 mph for part of the trip and 60mph for the rest. The 245 mile trip took him 4 hours 12 minutes. How long did the 2nd part of the trip take? How far did he drive during the 2nd part of his trip?

Answers

Answer:

Dave drove 168 miles during the 2nd part of the trip

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed of Dave for part of the trip = 55 mph

Speed of Dave the rest of the trip = 60 mph

Total time of the round trip = 4 hours 12 minutes

Total distance of the trip = 245 miles

2. How far did Dave drive during the 2nd part of his trip?

Let's recall that the formula of speed is:

Speed = Distance/Time, therefore Distance = Speed * Time

x = Time of part of the trip

4 hours 12 minutes - x = Time of the rest of the trip

4.2 hours - x = Time of the rest of the trip

Now, we can write solve for x, this way:

55 * x + 60 (4.2 - x) = 245

55x + 252 - 60x = 245

-5x = 245 - 252

-5x = -7

x = -7/-5 = 7/5 = 1.4 ⇒ 4.2 - x = 2.8

1st part of the trip = 55 * 1.4 = 77 miles

2nd part of the trip = 2.8 * 60 = 168 miles

Dave drove 168 miles during the 2nd part of the trip and 77 miles during the 1st part

Kroger has 12 ounces of orange juice for $1.95 and Food Lion has 18 ounces for $2.10. Which store has the better but. Round to nearest hundredth place.

Answers

Answer: the one that sells 12 ounces for 1.95

Step-by-step explanation:

A: 1.95÷12=0.1625

B: 2.10÷18=0.1166666667

A gets more money.

Hope this helps ca.you tell me if it does and can you give me brainliest plzzz???

What is the inequality x+5<2

Answers

Answer:

x < - 3

Step-by-step explanation:

Given

x + 5 < 2 ( subtract 5 from both sides )

x < - 3

Yo sup??

x+5<2

adding -5 on both the sides

x+5-5<2-5

x<-3

Therefore x can take any value from -3 (-3 not included) to negative infinity.

Hope this helps.

Solve 4(4f-9)=-(2-f)

Answers

Answer:

f = [tex]\frac{7}{15}[/tex]

Step-by-step explanation:

1. 4(4f - 9) = -(2-f)               distribute the negative

2. 4(4f - 9) = -2 + f           Distribute the 4

3. 16f - 9 = -2 + f            Subtract f on both sides

4. 15f - 9 = -2                  Add 9 on both sides

5. 15f = 7                 Divide both equations by 15

6. [tex]\frac{15f}{15} = \frac{7}{15}[/tex]  

f = [tex]\frac{7}{15}[/tex]

100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.

b = 30 ft

b = 5x ft

b = 10 ft

Answers

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

[tex]\frac{1}{2}[/tex] × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = [tex]\frac{30x+150}{3x+15}[/tex] ← factor numerator and denominator

  = [tex]\frac{30(x + 5)}{3(x+5)}[/tex] ← cancel the factor (x + 5) on numerator/denominator

  = [tex]\frac{30}{3}[/tex]

  = 10

Answer:

b = 10ft

Step-by-step explanation:

Area = ½ × base × height

15x + 75 = ½ × base × (3x + 15)

30x + 150 = base × (3x + 15)

10(3x + 15) = base × (3x + 15)

base = 10

Match the expression with corresponding x- and y- values so that all three expressions are equivalent to one another.

Answers

Answer:

x = 4, y = 1---->7(4)(1) - 3 = 28 - 3 = 25

x = 1, y = 6---->1 + 4(6) = 25

x = 1, y = 3---->(1 + 3 + 1)² = 5² = 25

URGENT 20 POINTS

Which experiment has a non-uniform probability model? SELECT TWO ANSWERS.

A.Tossing a fair coin one time

B.Randomly guessing the answer to a question on a multiple choice test that has four answer choices for each question

C.Spinning a spinner with sections that are different sizes

D.Pulling a red marble out of a bag with 6 red marbles, 3 green marbles, and 1 yellow marble

E.Spinning a spinner on which all sections are the same size

Answers

Answer: the answer is c,d or b,d but i think it i c and d

Step-by-step explanation:

Find the area of the shape shown

Answers

Answer:

The area is 18un^2

Step-by-step explanation:

The trapezoid area formula is (b1+b2)*h/2

so the two bases are 9 and 3. add them 9+3 = 12

the height is 3 multiply 12*3 = 36

then divide by two 36/2 = 18

a jet travels 520 miles in 5 hours at this rate how far could the jet fly in 11 hours what is the rate of speed of the jet

Answers

The rate of speed of jet is 104 miles per hour

The jet could cover 1144 miles in 11 hours

Solution:

Given that,

A jet travels 520 miles in 5 hours

Find the miles traveled in 1 hour ( speed in miles per hour)

[tex]speed = \frac{distance}{time}[/tex]

[tex]Speed = \frac{520}{5}\\\\Speed = 104\ miles\ per\ hour[/tex]

How far could the jet fly in 11 hours

Time = 11 hours

Speed = 104 miles per hour

[tex]Distance = speed \times time\\\\Distance = 104 \times 11\\\\Distance = 1144[/tex]

Thus the jet could cover 1144 miles in 11 hours

Other Questions
Thorsten Veblen's concept of conspicuous consumption asserts that Select one: a. we must merely possess power and wealth in order to gain social prestige. b. wealth and power must be put on public display. c. little evidence of wealth is required. d. we must engage in appropriate conspicuous buying rituals to maintain our personal identity. The chart shows the costs associated with the purchase of a new home. A 2-column table has 5 rows. The first column is labeled Components with entries principal after down payment, origination fee, closing costs, total principal, and additional taxes. The second column is labeled Cost with entries 240,000 dollars, 1,200 dollars, 4,800 dollars, 246,000 dollars, 4,000 dollars. What is the best conclusion that can be drawn from the information in the chart? It is too expensive for most people to buy a new home. There are additional fees and costs involved in taking out a mortgage. Making a down payment means taxes do not have to be paid. Fees and taxes make up about 50 percent of the costs of buying a home. The client is a healthy 19 year old college student who is interested in maintaining a healthy weight by following a 2000 calories diet. How many servings of vegetables should he eat on a daily basis?A) 2 cupsB) 2 cupsC) 3 cupsD) 3 cups A learning organization is an organization that actively creates, acquires, and transfers knowledge within itself and is able to modify its behavior to reflect new knowledge. According to Senge from MIT, learning organizations are places "where people continually expand their capacity to create the results they truly desire, where new and expansive patterns of thinking are nurtured, where collective aspiration is set free, and where people are continually learning how to learn together." This activity is important because learning is a key component of organizational success. The goal of this exercise is to challenge your knowledge of what learning organizations are and how to build them. What is the code for girls, girl code? Which of the following numbers is rational?Select all that apply.7.622/71.01n mattez au futur! What does this word mean explain how the two-point discrimination test illustrates how the density of touch receptors in a receptive field varies in different areas of the body? Present three reasons for the growth of European cities in order of importance On January 1, 2021, Twister Enterprises, a manufacturer of a variety of transportable spin rides, issues $580,000 of 8% bonds, due in 10 years, with interest payable semiannually on June 30 and December 31 each year.Required:1. If the market interest rate is 8%, the bonds will issue at $580,000. Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. 2. If the market interest rate is 9%, the bonds will issue at $542,277. Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021.3. If the market interest rate is 7%, the bonds will issue at $621,216. Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. Naturally occurring element X exists in three isotopic forms: X-28 (27.979 amu, 92.21% abundance), X-29 (28.976 amu 4.70% abundance), and X-30 (29.974 amu 3.09% abundance). Calculate the atomic weight of X. a. 29.09 amu b. 28.09 amu c. 35.29 amu d. 86.93 amu e. 25.80 amu : Let x represent any number in the set of odd integers less than 5. Which inequality is true for all values of x? A x0 C x5 ________ is the use of systematic methods of empirical investigation, the analysis of data, theoretical thinking, and the logical assessment of arguments to develop a body of knowledge about a particular subject matter. 14. What is the function of the ribosome in a cell?A. production of ATPB. absorption of sunlightC. packaging proteins into membrane-bound vesiclesD. addition of amino acids to growing polypeptide chains A ball is thrown straight up from the ground with speed v0. At the same instant, a second ball is dropped from rest from a height H, directly above the point where the first ball was thrown upward. There is no air resistance. (a) Find the time at which the two balls collide. (b) Find the value of H in terms of v0 and g such that at the instant when the balls collide, the first ball is at the highest point of its motion. 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Write a linear equation in which y represents the total value of the car and x represents the age of the car.