After excavating a lot, workers removed an estimated 7,000 cubic yards of dirt from the area. If this dirt were spread in an even layer over an empty lot with dimensions 30 yards by 64 yards, about how deep, in yards, would the layer of dirt be? Can you help me with this?

Answers

Answer 1

Answer: $V=7,000\ yd^3\ \ \ and\ \ \ V=30\ yd\ \cdot64\ yd\ \cdot x\n \n30\cdot64\cdot x=7,000\ /:(30\cdot64)\n \nx= (7\cdot25\cdot4\cdot10)/(3\cdot10\cdot16\cdot4) \n \nx= (7\cdot25)/(3\cdot16) \n \nx= (175)/(48)\ [yd] \ \ \ and\ \ \ 1\ yd=36\ in\n \n(175)/(48)\ yd =(175)/(48)\cdot 36\ in= (175\cdot3)/(4)\ in=131.25\ in$

Related Questions

If f(x)=log2(x+4), what is f^-1(3)?
Help please math really fast asap
The gas tank of Tyrell's truck holds 19.8 gallons. When the tank is empty, tyrell fills it with gas that costs 3.65 per gallon. about how much will it cost to fill the tank?
A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given s=-16t^2+v0t. Find the tim(s) that the projectile will (a) reach a height of 128 ft and (b) return to the ground when v0 is 64 feet per second
Car rental company A charges $45 a day to rent a certain car. Car rental B charges $30 a day plus $0.20 per mile to rent a similar car. For how many miles is the cost at car rental Company B more than the cost at car rental company A?

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.X + 3y = 9

3x –y = 7

Answers

Let's write both equations in the standard form of [ y = mx + b ],
and then see what we can tell about their graphs.

First equation:   x + 3y = 9
Subtract 'x' from each side: 3y = -x + 9
Divide each side by 3: y = -1/3 x + 3
This line crosses the y-axis at y=3, and it has a slope of -1/3 .

Second equation:    3x - y = 7
Subtract 3x from each side: -y = -3x + 7
Multiply each side by -1 : y = 3x - 7
This line crosses the y-axis at y=-7, and it has a slope of 3 .

-- The two lines have different slopes, so they're not parallel.
They must intersect somewhere.
-- They're not the same line, so they can't 'intersect' everywhere.
-- They have slopes of -1/3 and 3 . Their slopes are negative reciprocals,
so the lines are perpendicular.

All of this says that the two equations can't have no solution, and they can't have
infinitely many solutions. They must have one and only one solution.
I guess that means that it's our job to find it now.

============================================

For each equation, the "mx + b" form is equal to 'y' . Since these two things are
equal to the same thing, they must be equal to each other, and we can write:

   -1/3 x + 3 = 3x - 7

Multiply each side by 3 : -x + 9 = 9x - 21

Add 'x' to each side: 9 = 10x - 21

Add 21 to each side:    30 = 10x

Divide each side by 10 : 3 = x

The intersection/solution is some place where x=3 .
Let's put that back into the first equation:

   x + 3y = 9

   3 + 3y = 9

Subtract 3 from each side:   3y = 6

Divide each side by 3 : y = 2

And there's your solution: x = 3
   y = 2
On the graph, the two lines intersect at the point (3, 2) .

We used the first equation to get part of the solution, so we can't use
the same equation to check the solution. We'll put our solution into the
second equation, and see whether it checks there:

   3x - y = 7

3(3) - (2) = 7

   9 - 2 = 7

   7 = 7 yay !

The two equations have one and only one solution,
and it is definitely x = 3, y = 2 .

Substitution or Elimination

im using substitution

1. solve for variable for one of the equation

x + 3y = 9

x = 9 - 3y

2. Substitute the variable into one of the equation

3 (9-3y) - y = 7

27 - 9y - y = 7

27 - 10y = 7

-10y = 7 - 27

-10y = -20

y = 2

3. sub y = 2 into any equation to find x

3x - 2 = 7

3x = 7 -2

3x = 5

x = 5/3

X+3(2) = 9

x + 6 = 9

x = 9-6

x= 3

therefore there are two solutions x = 3 and x= 5/3

write an equation in standard form for the line that passes through the points (4,5) and has a slope m= 2/3

Answers

$standard\ form: \ Ax+By=C\n\nslope\ intercept\ form:\ny=mx+b\nm=(2)/(3)\n\ny=(2)/(3)x+b\ \ \ \ | substitute\ point\ (4,5)\n\n5=(2)/(3)*4+b\n\n5=(8)/(3)+b\ \ \ \ | subtract\ (8)/(3)\n\n5-(8)/(3)=b\n\nb=5-2(2)/(3)=2(1)/(3)\n\ny=(2)/(3)x+2(1)/(3)\ \ \ | subtract\ (2)/(3)x\n\nSolution:\ -(2)/(3)x+y=2(1)/(3)$

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:y > 1/2x + 2

a)The origin is not included in the shaded region, and the shaded area is above the line.

b)The origin is not included in the shaded region, and the shaded area is below the line.

c)The origin is included in the shaded region, and the shaded area is above the line.

d)The origin is included in the shaded region, and the shaded area is below the line.

Answers

Answer:

The origin is not included in the shaded region, and the shaded area is above the line.

Step-by-step explanation:

We need to find the shaded region for the given inequality

y > 1/2x +2

To determine whether the origin is included in the shaded region, we use origin (0,0)

Plug in x=0 and y=0 in the given inequality

0> 1/2(0) +2

0 > 2 that is false

So (0,0) origin is not included in the shaded region

In the inequality we have greater than symbol

for > symbol we shade above the line

The origin is not included in the shaded region, and the shaded area is above the line.

the origin (0,0) is not in the shaded region and the shaded region is above the line because of the (>) greater then sign

On a vacation to Puerto Rico Rose jumped off a cliff into a river in Elion forest preserve her height as a function of time to be modeled by the function HFT equal 16 T squared +16 T +480 where T is the time after jumping in seconds and H is the height in feet how many seconds it take Rose to hit the water round your answer to the nearest hundredth

Answers

To solve for t, you will use the equation given: -16t^2 + 16t + 480 = 0. First, simplify the equation by dividing everything by 16: -t^2 + t + 30 = 0. Then complete reverse FOIL: (-t + 6)(t + 5) = 0. Next, set each of these equations to 0 separately, and solve for t. You will get t = 6, and t = -5. Since time can't be negative (Rose can't have hit the water after a negative number of seconds), the answer is 6.

If the zoo had 6 dolphins how many penguins would there be?

Answers

The number of penguins is 15.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of dolphins to penguins = 2:5

This means,

For every 2 dolphins, there are 5 penguins.

Now,

For 6 dolphins,

2 dolphins = 5 penguins

Multiply 3 on both sides.

6 dolphins = 15 penguins

Thus,

There will be 15 penguins.

Learn more about ratios here:

brainly.com/question/2462048

#SPJ2

The zoo would have 15 penguins.

If f(x) and 1(x) are inverse functions of each other and f(x) = 2x+5, what is ri(8)?-1
3/2
41/8 23

Answers

Answer:

3/2

Step-by-step explanation:

Other Questions

What percentage of coach passengers did not check bags? Round to the nearest tenth.

5. Assuming that a is not equal to c, find the x-value of the intersection point of the lines y = ax +b and y = cx + d.

What is the equation of a circle with center (-2, 3) and radius 4?A. B. C. D.

The Anderson can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?They can set up _____tables in 5 hours.