Landscapers plan to spread a layer of stone on a path. The number ss of bags of stone needed varies directly with the depth dd (in inches) of the layer. They need 20 bags to spread a layer of stone that is 2 inches deep. How deep will the layer of stone be when they use 15 bags of stone?

Answers

Answer 1

2/20 = x/15

cross multiply

20x/30

x = 30/20 = 1.5

it will be 1.5 inches deep


Answer 2

2/20 = x/15

cross multiply

20x/30

x = 30/20 = 1.5

it will be 1.5 inches deep



Related Questions

how do i sketch the graph of each function?

Answers

check the picture below.

notice the hole in the line going to the right-side, because x > -3, meaning "x is greater, BUT not -3".

What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit? a.13.4 units b.17.9 units c.26.8 units d.40.0 units

Answers

To calculate the perimeter, consider each side separately. Since this is a rectangle, you have 2 pairs of sides of equal length, so you just have to calculate the length of one of each pair of sides and then double each and add them to find the perimeter.

Top side: If you look carefully, this side is really the hypotenuse of a triangle that is 4 units tall and 8 units long. Using the Pythagorean Theorem, you can calculate the length of the hypotenuse to be 8^2 + 4^2 = c^2 --> c = 8.9

Left side: Just like the top side, this side is the hypotenuse of a triangle that is 4 units tall and 2 units long. Pythagoras again: 4^2 + 2^2 = c^2 --> c = 4.5

Since you have two of each side that are the same length, double each and add for the final perimeter: 8.9*2 + 4.5*2 = 26.8

A coordinate plane is a graphical image that shows two number lines. These number lines have a y-axis and x-axis. The y-axis is the vertical number line and the x-axis is the horizontal number line.

The perimeter of the rectangle is 26.8 units

We would be applying Pythagoras Theorem to find the length and breadth of the rectangle.

Pythagoras Theorem states that:

c² = a² + b²

Note that c = The length or breadth of the rectangle

Step 1 : Looking at upper part, and dividing the rectangle into a triangle,

We have 4 units and 8 units.

a = 4 units

b = 8 units

Using the Pythagorean Theorem, you can calculate the length of the hypotenuse to be

c² = 4² + 8²

c² = 80

c = √ 80

c = 8.9 units

Applying this to the lower part,

We have 4 units and 2 units.

a = 2 units

b = 4 units

Using the Pythagorean Theorem, you can calculate the length of the hypotenuse to be

c² = 2² + 4²

c² = 20

c = √20

c = 4.5 units

Step 2: We find the Perimeter of a rectangle

Formula = 2L + 2B

Where

L = Length = 8.9 units

B = Breadth = 4.5 units

Hence:

8.9 x 2 + 4.5 x2 = 26.8 units

Therefore, the perimeter of the rectangle is 26.8 units

Option C is the correct answer

To learn more, visit the link below:

https://brainly.com/question/1972439

A wire 360 in. long is cut into two pieces. one piece is formed into a square and the other into a circle. if the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

Answers

The length of piece of wire for square = 230 inches

The length of piece of wire for circle = 130 inches.

The given length of  wire = 360 inches

Now let it cuts into lengths r' and r

Therefore,

⇒ r' + r = 360   ...(i)

Now let with length r' square is formed

Therefore,

Area of square = r'xr'

                         = (r')²

And with length of r circle is formed,

Area of circle = π r²

According to the question

Both area are same,

⇒ (r')² =  π r²

Taking square root both sides,

⇒ r' = √π r    ......(ii)

Now from (i) and (ii);

⇒ √π r + r = 360

⇒ r(1 + √π) = 360

⇒      2.77 r = 360

⇒              r = 129.96 ≈ 130 in

Then r' = 360 - 130

            = 230

Hence length are 130 inches and 230 inches.

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ1

what is (4a-3)^2 simplified

Answers

Use the formula (a+b)^2=a^2+2ab+b^2, you'll get 16a^2 -24a+9

PLZZZZZZ HEEEEELLLLLLPPPPPPPP!!!!!!!!!!

Given the system of equations, what is the solution?

3x - 2y + 10 = 0
5y = 4x + 8

A.){(-34/7, 16/7)}
B.){(34/7, -16/7)}
C.){(-34/7, -16/7)}

Answers

The correct answer is C) 

I can confirm that Option C is correct, just finished the assignment.

Suppose three candidates are running in the texas democratic primary for governor. what happens if candidate x wins 45% of the vote, candidate y receives 30% of the vote, and candidate z wins 25% of the vote?

Answers

winners in primary elections in TX are determined by majority vote. If no candidate receives 50% of the vote, then the top 2 candidates proceed to a run-off election.

So in the above problem, since nobody received the majority vote of 50%, the candidate X and candidate Y are going to proceed to a run-off election to determine the democratic candidate for governor

Final answer:

Since no candidate won an absolute majority in the Texas Democratic Primary for governor, a runoff election is necessitated between Candidate X and Candidate Y, the top two vote-getters, to ensure the nominee is chosen by a majority.

Explanation:

In the scenario where Candidate X wins 45% of the vote, Candidate Y receives 30%, and Candidate Z wins 25% in the Texas Democratic Primary for governor, no candidate has achieved an absolute majority, as required by Texas law to win the primary outright. An absolute majority means that a candidate must have more than 50% of the votes, specifically fifty percent plus one vote. Since this did not happen, a runoff election is triggered.

The runoff will take place between the two candidates who received the most votes, which in this case, would be Candidate X and Candidate Y. This runoff ensures that the final nominee for governor from the Democratic Party will have the support of a majority of its voters, reflecting a more democratic outcome. The system prevents a candidate from winning the primary nomination with only a plurality of the vote, which could be less representative of the party's voters as a whole.

The measure of an angle is equal to the meausure of its complement. find the degree measure of the angle

Answers

sine they are equal and a complement means add up to 90, they are 45.
45+45 =90

Simplify.

i^74



1
i
−i
−1

Answers

the answer to this is 1:). I hope this helped you out :)

Actually the real answer is:

-1.

Triangle PQR has vertices at the following coordinates : P(0,1) Q(3,2) R(5,-4) . Determine wether or not triangle PQR is a right triangle . Show all calculations for full credit .

Answers

Here is my answer. Hope this help.

The sum of the squares of two sides is not equal to the square of the third side, the triangle PQR is not a right triangle.

What is Pythagoras Theorem?

According to Pythagoras Theorem, in a right angled triangle the square of the side opposite to the right angle is equal to the sum of squares of the other two sides.

Height² + Base² = Hypotenuse²

If a triangle is a right angle, then its sides should satisfy Pythagoras theorem.

The distance formula will be used to determine the length of the sides.

PQ² =  ( 3 - 0)² + (2-1)²

PQ² = 10

PQ = √10

RQ² =  ( 5 - 3)² + (-4-2)²

RQ² = 40

RQ = √40

RP² =  ( 5 - 0)² + (-4-1)²

RQ² =  25 + 36

RQ² =  61

Applying the Pythagoras's Theorem,

61 ≠ 40 + 10

Therefore, it is not a right angled triangle.

To know more about Pythagoras Theorem

https://brainly.com/question/343682

#SPJ5

Evaluate this exponential expression

Answers

5 (3 + 6) ^2 − 6^2= 5 (92) − 62= (5) (81) − 62= 405 − 62= 405 − 36= 369
Your answer is A) 369

Determine whether the following pair of lines is parallel, perpendicular or neither 2x+3y=3: 2y=3x-4

Answers

First, you have to simplfy your equations, 2x+3y=3. Subtract 2x from both sides, get 3y=-2x+3. Divide each side by 3, get y=-2/3x+1.
Simplify your other equation, 2y=3x-4. Divide each side by 2, get y=3/2x-2.
Now you have your 2 equations, y=-2/3x+1, and y=3/2x-2. These lines are perpendicular if you make a graph and plot the lines.

Which defines a circle?

Answers

A circle is defined as all co-planar points equidistant from a given point

Further Explanation; Circle A circle is a shape with all points the same distance from its center. It is one of the important shapes in geometry.A circle locus would be defined as a set of points at a given distance from a given point in a 2-dimensional plane.The given distance is the radius and the given points is the center of the circle.The diameter of a circle is equal to twice its radius (d equals 2 times r). The circumference of a circle is the line that goes around the center of the circle.An angle An angle is defined as the union of two rays with a common endpoint.The common end point is known as the vertex of the angle while the rays are known as the sides of the angle.Line segment

A line segment is a piece of a line that has two endpoints.

A ray

It is a part of a line with one end point and proceeds on in one direction.

A line

A line refers to collection of line along a straight path proceeding in opposite directions with no endpoints.

Keywords; Co-planar points, circle, end points

Learn more about;Co-planar points: brainly.com/question/10672783A circle: https://brainly.com/question/1745042Line segment: https://brainly.com/question/1745042A ray: https://brainly.com/question/1745042A line: https://brainly.com/question/1745042

Level: Middle school

Subject: Geometry

Topic: Shapes and terms in geometry

What is the slope intercept form of the equation of the line with a slope of 1/4 and y intercept at the origin?

Answers

The slope intercept form of the equation is...
y=(1/4)x
with a y-intercept at the origin because the origin is 0 leaving you y=(1/4)x

If two pyramids are similar and the ratio between the lengths of their edges is 3:11, what is the ratio of their volumes?

Answers

The Answer is 27:1331

Answer:  The ratio of the volumes of two pyramids is 27 : 1331.

Step-by-step explanation:  Given that two two pyramids are similar and the ratio between the length of their edges is 3 : 11.

We are to find the ratio of the volumes of two pyramids.

Let a units and b units be the lengths of the edges of the two pyramids.

The, according to the given information, we have

[tex]a:b=3:11.[/tex]

We know that the ratio of the volumes of two similar pyramids is equal to the ratio of the cubes of the lengths of edges of the two pyramids.

Therefore, the ratio of the volumes of two pyramids will be

[tex]V:V'=\dfrac{V}{V'}=\dfrac{a^3}{b^3}=\left(\dfrac{a}{b}\right)^3=\left(\dfrac{3}{11}\right)^3=\dfrac{27}{1331}=27:1331\\\\\\\Rightarrow V:V'=27:1331.[/tex]

Thus, the ratio of the volumes of two pyramids is 27 : 1331.

If 20 pounds of flour were needed to make 31 pounds of bread, how many pounds of other ingredients would be needed to produce 60 pounds of bread?

Answers

you have some growth ratio r:

20 pounds flour make 31 pounds bread
20*r=31
r=31/20

x pounds flour make 60 pounds bread
x*r=60
x=60/r
x=60/(31/20)
x=20*60/31

or about 38.7 pounds of flour

Other ingredients:

11 pounds "other" for 31 pounds of bread
-> 11/31 per pound
-> 60*11/31 pounds of "other" for 60 pounds breads
=660/31
=21+(9/31)

What is the slope of the line tangent to the curve 3y2 - 2x2 = 6 - 2xy at the point (3,2)?

Answers

Answer:  The slope of the tangent line at the point (3, 2) is [tex]\dfrac[4}{9}.[/tex]

Step-by-step explanation:  We are given to find the slope of the line tangent to the following curve at the point (3, 2).

[tex]3y^2-2x^2=6-2xy~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that the derivative of a function at any given point is equal to the slope of the tangent at that point.

Now, differentiating both sides of equation (i) with respect to x, we have

[tex]\dfrac{d}{dx}(3y^2-2x^2)=\dfrac{d}{dx}(6-2xy)\\\\\\\Rightarrow 6y\dfrac{dy}{dx}-4x=0-2\left(y+x\dfrac{dy}{dx}\right)\\\\\\\Rightarrow 2x\dfrac{dy}{dx}+6y\dfrac{dy}{dx}=4x-2y\\\\\\\Rightarrow \dfrac{dy}{dx}=\dfrac{4x-2y}{2x+6y}\\\\\\\Rightarrow \dfrac{dy}{dx}=\dfrac{2x-y}{x+3y}.[/tex]

So, at the point (3, 2), we get

[tex]\dfrac{dy}{dx}=\dfrac{2\times3-2}{3+3\times2}=\dfrac{6-2}{3+6}=\dfrac{4}{9}.[/tex]

Thus, the slope of the tangent line at the point (3, 2) is [tex]\dfrac{4}{9}.[/tex]

The slope of the tangent at point (3,2) will be ([tex]5\div 18[/tex]) and it can be evaluated by differentiating the given equation of curve.

Given :

Curve - [tex]3y^2-2x^2=6-2xy[/tex] ---- (1)Point - (3,2)

To determine the slope of the tangent, differentiation of the given equation of curve is carried out.

Differentiating equation (1) with respect to x.

[tex]\dfrac{d}{dx}(3y^2-2x^2) = \dfrac{d}{dx}(6-2xy)[/tex]

[tex]6y \dfrac{dy}{dx}-4x = 0-2y-2x\dfrac{dy}{dx}[/tex]

Now, further simplification of the above equation gives:

[tex]\dfrac{dy}{dx}(6y+2x)=4x-2y[/tex]

[tex]\dfrac{dy}{dx}= \dfrac{4x-2y}{6y+2x}[/tex]

Now, at point (3,2) the slope of the tangent will be:

[tex]m = \dfrac{4\times 3-2\times 2}{6\times 2+2\times3}[/tex]

[tex]m = \dfrac{5}{18}[/tex]

So, the slope of the tangent at point (3,2) will be ([tex]5\div 18[/tex]).

For more information, refer the link given below:

https://brainly.com/question/20036619

(42 pts)  What is the value of g(−3) when g(x)=2x−2 ? Enter your answer in the box.

Answers

-8 is the answer to the equation. Plug -3 into the equation then solve 

equation = g(x) = 2x-2

 when g(-3) replace x with -3

 so you get g(-3) = 2(-3)-2

2*-3 = -6-2 = -8

g(-3) = -8

2(4x-3)-8=4+2x solving equations plz help ASAP show work and ill give brainliest

Answers

8x - 6 - 8 = 4 + 2x
8x - 14 = 4 + 2x
8x = 4 + 2x + 14
8x = 2x + 18
8x - 2x = 18
6x = 18
x = 18/6
x = 3 

*Answer is x = 3 because 18/6 is 3 since 3 * 6 = 18.
First you will distribute
8x - 6 - 8 = 4 + 2x
Then combine like terms
8x - 14 = 4 + 2x
6x = 18
Divide
x = 3

What is the value of x?

Answers

GDH=180 because it is a supp. So 62+(x+2)=180
Subtract 62 from both sides
(X+2)=118
Den subtract 2
Which is 116
Hope this helps good luck

Divide. write your answer in simplest form. ÷34 710

Answers

17/355 is probably the answer. Hope this helps. :)

The simplest form of 34 / 710 is 17 / 355.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.

Given that the expression 34 / 710.

Now to write the above expression in simple form, we divide the numerator and denominator by 2

34 / 710 = 34/ 2 ÷ 710 / 2

34 / 710 = 17 / 355

Now the above expression is not easily divisible by any number.

Therefore, The simplest form of 34 / 710 is 17 / 355.

To learn more about the division;

https://brainly.ph/question/1720114

#SPJ5

In rectangle ABCD, the length of BD is 10x + 8 and the length of AC is 9x + 20. What is the value of x ?

Answers

10x+8=9x+20    subtract 9x from both sides
x+8=20              subtract 8 from both sides
x=12

Final answer:

In rectangle ABCD, the value of x, given that the lengths of the diagonals BD and AC are expressed as 10x + 8 and 9x + 20 respectively, is 12.

Explanation:Solution

In a rectangle, the diagonals are equal in length. This gives us the following equation,

10x + 8 = 9x + 20, where BD and AC represent the lengths of the diagonals respectively.

To solve this for x, we subtract 9x from both sides, which gives: x + 8 = 20. Then, subtracting 8 from both sides of the equation gives: x = 20 - 8 = 12.

So, the value of x that suits this rectangle is 12.

Learn more about Geometry here:

https://brainly.com/question/31408211

#SPJ11

Name the intersection of XW and WV

Answers

The intersection of two lines is always a shared point. The shared point in this case is W.

Hope this helps!

1. Pressure P (in pounds per square foot) on a diver at a depth of D feet. Solve for D: P=64d+2112

2. The selling price of a pair of pants is $34. If the store paid $8 less for the pants, find the price the store paid.

3. The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is 6 more than three times the first number. Find the three numbers.

Answers

1. P=64d+2112 ; solve for D.
P=64d+2112
P - 2112 = 64d
(P - 2112)/64 = d

2. The store is selling pants for $34, but they bought it for $8 less.
34 - 8 = 26
They paid $26 for the pair of pants.

3. x + y + z = 123
y = (2x) - 9
z = (3x) + 6
x + (2x - 9) + (3x + 6) = 123
6x - 3 = 123
6x = 126
x = 21
y = 2(21) - 9
y = 42 - 9
y = 33
z = 3(21) + 6
z = 63 + 6
z = 69
20 + 33 + 69 = 123
The three numbers are 21, 33, and 69.

Convert this number to a percent. .000103 = _____

Answers

The answer should be 0.0103%.

HELP ME PLEASE!!!!
Which function represents the data in the table
A) f(x) = 3/2x - 2
B) f(x) = 3x + 2

C) f(x) = 3/2x + 2

D) f(x) = 3x - 2

Answers

slope = (2.5 + 0.5)/(3-1) = 3/2

y = mx + b
b = y - mx
b = -0.5 - 3/2(1)
b = -2

equation
y = 3/2(x) - 2
answer

A) f(x) = 3/2(x) - 2

miss. Nikkel want to divide her class of 23 students into 4 equal teams.is this reasonable?why or why not

Answers

No, because if you divide 23 / 4, you get 5.75. You can't get 0.75th of a kid. So it is not reasonable, because it is a decimal, and not a whole number.

Hope this helped! ☺♥
It's impossible to get good quantity of command with the total quantity of 23.
So possible numbers of commands are 3 commands, 4 commands, 5 commands.
3 commands:  There are 7 students inside each and 2 students out of commands.
4 commands: There are 6 students inside each and there is no one students inside one command.
5: commands: There are 5 students inside each and there is no two students inside one command.
So 4 commands will be reasonable for the 23 students. But one command still without 1 student.

a survey asked stamp collectors how many stamps they have in their collection the box plot summarizes the response between what two numbers do the upper fourth of the responses fall

93 and 110
75 and 93
70 and 110
40 and 70

Answers

Answer:

93 and 110 upper fourth

Step-by-step explanation:

Q3 is at 93 and the max number is at 110 so the upper fourth should fall between 93 and 110, the middle half of the responses  will fall between 70 and 93 and the lower fourth of the responses will fall between 40 and 70

The hood of Christina's car is the shape of a trapezoid. The base bordering the windshield measures 30 inches and the base at the front of the car measures 24 inches. What is the width of the median of the hood?

The width of the median of the hood is
_______inches.

Answers

30-24 = 6

6/2 = 3

24 + 3 = 27

 median width = 27

Here is your answer:

First you have to subtract 30 and 24

30-24 = 6


Then divide six by two:

6÷2 = 3

Then add 24 and 3

24 + 3 = 27

Your answer is...

= 27

Which expression is equivalent to 1/5(15 + 10x-5)?

A. 2 + 2x

B. 2 - 2x

C. -2 + 2x

D. -2 - 2x

Answers

Expand the equation; 

1/5(15-5+10x) 
1/5(10+10x) 
2+2x 

Therefore A

Hope I helped :) 

Archie is putting 24 books on 2 shelves. Each shelf holds 16 books.



How many more books can Archie put on the shelves?






Answers

Since each shelf can hold 16 books and there are 2 shelves, both shelves can hold a total of 32 books. Since he is already adding 24 books, he can add 32- 24 = 8 more books.
Archie can put 9 more books on the shelf
Other Questions
What are the four levels of protein structure is maintained after denaturing? Which verb best completes this advice? Recuerde _________ del sistema despus de usar una computadora pblica. entrar salir utilizar usar You and your friend are babysitting the same small child, who is sick with chickenpox. you get sick but your friend does not. why? When driving through standing water at high speed water may build up beneath the wheels and cause the vehicle to skid is commonly referred to as? Why is henry so intent on obliterating memory of everything done by one party or the other in the years immediately prior to his coronation as king of france? List adults with different u.s. addresses who have known you for at least three years. the first reference should be a parent or legal guardian. How could a person easily tell which envelope contained four sheets of paper and which contained five sheets without opening the envelopes what assumption did you make in arriving at your answers Can the total work done on an object during a displacement be negative? explain. if the total work is negative, can its magnitude be larger than the initial kinetic energy of the object? explain. The beginning of long musical phrases in motets is called Jessica wants to record her favorite songs to one cd. The function c=80-3.22n represents the recording time c available after n songs are recorded. Find the zero of this function. Describe what this value means in this context. Sucking, swallowing, coughing, blinking, and yawning are all examples of: Scientists have found that the carbon-14 content of an unknown prehistoric sample was reduced to one-half. What best describes the identity of the sample? When trying to identify material that has been delivered by truck, one common difficulty you may encounter is that the? Now consider the example of a positive charge q moving in the xy plane with velocity v =vcos()i^+vsin()j^ (i.e., with magnitude v at angle with respect to the x axis). if the local magnetic field is in the +z direction, what is the direction of the magnetic force acting on the particle? If the interior angle of a polygon is 170 how many sides does it have "when more tenured workers publish best practice information on the it solutions' knowledge management system, they are providing" What is the best explanation for Douglass' purpose in writing his Narrative of the Life of Frederick Douglass? Whats a healthier choice in food?A. Pizza Hut B. Little Caesars C. Papa JohnsD. Dominos PizzaE. Walmart How do you calculate how much energy is transferred from one trophies level to the next how is a well designed investigation developed Steam Workshop Downloader