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A group of students wants to build a ramp to move boxes from the floor up to a stage. How can the students reduce the amount of effort needed to push the boxes up the ramp?

by making the ramp as long as possible


by making the ramp’s height and length equal


by building the ramp out of a lightweight material


by covering the ramp’s surface with a soft rubber mat

Answers

Answer 1

Answer:

Step-by-step explanation:

A. by making the ramp as long as possible

Answer 2

The students can reduce the effort needed to push the boxes up the ramp by making the ramp as long as possible.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

The students can reduce the effort needed to push the boxes up the ramp by making the ramp as long as possible.

A longer ramp will have a more gradual slope, which requires less force to push the boxes up.

This is because the longer the ramp, the smaller the angle of inclination, and the easier it is to move objects up the ramp.

While making the ramp out of lightweight material and covering the ramp’s surface with a soft rubber mat may make moving the boxes up the ramp easier, these factors are not as significant as the ramp's length.

Additionally, making the ramp’s height and length equal could make it too steep, requiring more effort to push the boxes up.

Therefore, by making the ramp’s height and length equal, students can reduce the effort.

To learn more about the slope;

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Related Questions

Is 4y+9+3 and 3y+9+4y equivalent

Answers

No jjgjjrjejejjejw need 20 letters
no (i need 20 letters sonfndmfmfnfmfjfkfnfmfmf

the question: a computer manufacturer built a new facility for assembling computers. there were construction and new equipment cost. the company paid for these cost and made combined profits of $80 million after four years as shown in the graft.



answers:

a: f(x)=60x-160
b:f(x)=-60x+160
c:f(x)=-80x +4
d: f(x)= 80x -4

Answers

Answer:

The equation that closely represents the graph is [tex]\mathbf{y=60x-160}[/tex]

Option A is correct.

Step-by-step explanation:

We need to find equation that represents the graph.

We can write equation in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

For finding the equation we need to find slope and y-intercept

Finding slope

The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we can find [tex]x_1=0, y_1=-160, x_2=1, y_2=-100[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-100-(-160)}{1-0} \\Slope=\frac{-100+160}{1}\\Slope=-100+160\\Slope=60[/tex]

We get Slope = 60

Finding y-intercept

Using point (0,-160) and slope m = 60, we can find y-intercept

[tex]y=mx+b\\-160=60(0)+b\\b+0=-160\\b=-160[/tex]

Writing the equation

So, the equation for given graph having slope m = 60 and y-intercept b =-160 is:

[tex]y=mx+b\\y=60(x)+(-160)\\y=60x-160[/tex]

So, The equation that closely represents the graph is [tex]\mathbf{y=60x-160}[/tex]

Option A is correct.

find the domain of the graphed function

Answers

Answer:

Domain= [0, 13]

Step-by-step explanation:

Domain refers to the possible input values on the x-axis.

$75 lunch; 18% tip what is the total

Answers

Answer:

88.5

Step-by-step explanation:

75 x .18

tip= 13.5

75 + 13.5 = 88.5

The measures of the angles of a quadrilateral are 3:8:7:2 find the measure of each angle

Answers

Answer:

Angle 1=  54°

Angle 2= 144°

Angle 3 = 126°

Angle 4 = 36°

Step-by-step explanation:

We are given measures of the angles of a quadrilateral are 3:8:7:2

Let the common ratio = x

The angles will be:

Angle 1= 3x,

Angle 2= 8x,

Angle 3 =7x

Angle 4 =2x

We know that sum of all angles of quadrilateral = 360°

We can write as: [tex]3x+8x+7x+2x=360[/tex]

Solving to find x,

[tex]3x+8x+7x+2x=360\\20x=360\\x=\frac{360}{20}\\x=18[/tex]

We get value of x = 18

Now, finding angles:

Angle 1= 3x = 3(18) = 54°

Angle 2= 8x = 8(18) = 144°

Angle 3 =7x = 7(18) = 126°

Angle 4 =2x = 2(18) = 36°

Need this ASAP please help

Answers

Answer:

Step-by-step explanation:

b

Answer:

Option b) 3x - 22 = 38 should be the correct answer.

Step-by-step explanation:

If we solve the equation, we get:

x = 20

So each bag had 20 apples. In total, 3 bags held 60 apples. If he gives away 22 apples to his friends, he has 38 remaining and this satisfies the discription given in the question.

Therefore, option B) 3x -22 = 38 should be your answer.

HELP ASAP giving brainlist!!!

Answers

Answer:

I would say its given because all of the sides are the same

Step-by-step explanation:

A .................sal

Rebecca has 6 yards of ribbon. It takes 3/8 yard to wrap one package. How many packages can rebecca wrap​

Answers

Answer:

16

Step-by-step explanation:

6 x 8 = 48

48 / 3 = 16

Rebecca can only wrap 16 packages with 6 yards of ribbon.

Need help will mark Brainliest no explanation needed

Answers

I can’t see the whole problem but The triangle is SAS and it it is translated

The variables y and x have a proportional relationship, and y = 7 when x = 2 What is the value of x when y = 212 Enter your answer in the box x = 1

Answers

Answer:

proportional relational ship  

y= kx

7 = k2

solve for k

7/2 =k

y = 7/2 x

if y = 21

21 =7/2 x

solve for x

multiply by 2/7 on each side

21* 2/7 = 2/7*7/2 x

6 =x

Solve for x
-2(x+6) =-36

Answers

Answer:

x= 12

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

-2(x+6)=-36

distribute the -2

-2x-12=-36

add 12 to both sides

-2x=-24

divide both sides by -2

x=12

What is the "quotient" of two numbers?

Answers

Answer:

Result of a division

Step-by-step explanation:

Example

x / y = z

z is the quotient

Find the length x.
5
X
45
PLS THIS IS ERGENT

Answers

Answer:

X = 7.5

Step-by-step explanation:

First, divide 5 by 3 to find the scale factor:

5/3 = 1.667

Now, multiply 4.5 by 1.667 to find x:

x = (4.5)(1.667)

x = 7.5

Therefore, x is equal to 7.5.

I hope this helps!!

- Kay :)

x + 8 + 2x <= 2x + 13

Answers

Answer:

X = 15

Step-by-step explanation:

We move all terms to the left:

x+8+2x-(2x+13)=0

We add all the numbers together, and all the variables:

3x-(2x+13)+8=0

We get rid of parentheses:

3x-2x-13+8=0

We add all the numbers together, and all the variables:

x-5=0

We move all terms containing x to the left, all other terms to the right:

x=5

Write an inequality with the same meaning as the following
16 > x

Answers

Answer:

16>x/2

Step-by-step explanation:

Determine the shaded areas part 2​

Answers

9514 1404 393

Answer:

  (a) cannot be determined

  (b) 44 cm^2

  (c) 87 m^2

  (d) 180 m^2

  (e) 132 m^2

Step-by-step explanation:

(a) missing a horizontal dimension

__

(b) The difference between the bounding rectangle and the lower-left cutout is ...

  (8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2

__

(c) The difference between the bounding rectangle and the center cutout is ...

  (13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2

__

(d) The difference between the bounding rectangle and the two cutouts is ...

  (20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2

__

(e) The difference between the bounding rectangle and the two cutouts is ...

  (14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2

what is the estimate of 210 x 733

Answers

Answer:

153,930 that is the answer hope it is right

Answer:

about 1,400

Step-by-step explanation:

its about 1,400 because you would round 210 to 200, and 733 to 700.

please give brainliest :))

How you express the average of five quizzes is 85 in mathematical expression​

Answers

Let x1, x2, x3, x4, x5 be the scores for the five tests respectively and y be the average score of those tests.

y = (x1 + x2 + x3 + x4 + x5) / 5

since y = 85:

(x1 + x2 + x3 + x4 + x5) / 5 = 85

How many laps would be 50 miles on a 1 1/2 mile track?

Answers

Answer:

34 laps

Step-by-step explanation:

the specific answer is 33.3 but u have to round the whole number

solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures

Answers

Answer:

Either, (9+√69)/6 or (9-√69)/6

Step wise:

3x²-9x+1=0-------------------(i)

comparing equation onw with (ax²+bx+c=0), we get,

a=3, b=-9, c=1

now,

using Quadratic Formula,

(-b±√b²-4ac)/2a=x

{-(-9)±√(-9)²-4.3.1}/2.3=x

(9±√81-12)/6=x

(9±√69)/6=x

Taking +(ve) sign                   Taking -(ve) sign

(9+√69)/6=0                           (9-√69)/6=0

∴(9+√69)/6=0                         ∴(9-√69)/6=0

[∵They cannot be further solved]

The solutions to the given quadratic equation are x = 2.884 and

x = 0.116.

What is a quadratic equation?

The equation of the form ax² + bx +c is known as a quadratic equation.

The given equation is 3x² - 9x + 1 =0.

Solve the equation as follows:

3x² - 9x + 1 =0

Use the quadratic formula to solve the equation:

[tex]x = \frac{-(-9)\pm\sqrt{(-9)^2-4(3)(1)}}{2(3)}\\\\x= \frac{9\pm\sqrt{81-12}}{6}\\\\x=\frac{9\pm\sqrt{69}}{6}\\\\x = \frac{9\pm8.306}{6}\\\\x=\frac{9+8.306}{6}\quad\text{ or }x=\frac{9-8.306}{6}\\\\x=2.884\quad\text{ or }x=0.116[/tex]

Hence, the solutions to the given quadratic equation are x = 2.884 and

x = 0.116.

Learn more about the quadratic equations:

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What is the volume of the cylinder below?
9^6^8
O A. 432pi units3
B. 216pi units3
O C. 324pi units3
D. 288pi units3

Answers

Answer:

Step-by-step explanation:

288pi units3

The volume of the cylinder in the image given is: 288pi units³.

What is the Volume of a Cylinder?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

Volume of a cylinder = πr²h,

where:

r = radius of the cylinder

h = height

Given the following:

r = 6 units

h = 8 units

Volume of the cylinder = 288pi units³

Learn more about volume of cylinder on:

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Put these numbers from least to greatest 0.51, 3/4, 0.59, 3/8, 0.24, 0.517

Answers

Answer: 0.24, 3/8, 0.51, 0.517, 0.59, 3/4

Step-by-step explanation:

First you will have to convert the 3/4 and 3/8 to a decimal number. By doing this 3/4 turns into 0.75 and the 3/8 becomes 0.375. After this step you then arrange the numbers for the lowest of 0.24 then the 3/8 (0.375) next 0.51 after that is 0.517 then 0.59 and final after that 3/4

Given g(x)=−x2+10x−3, find the following.

g(9)=
Question 14 options:

-174


-111


6


138

Answers

Answer:

g(9) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

g(x) = -x² + 10x - 3

g(9) is x = 9

Step 2: Evaluate

Substitute in x:                    g(9) = -(9)² + 10(9) - 3Exponents:                          g(9) = -(81) + 10(9) - 3Multiply:                               g(9) = -81 + 90 - 3Add:                                     g(9) = 9 - 3Subtract:                              g(9) = 6

if x,4x+3 and 7x+3 are geometric sequence. find the value of x
please help me​

Answers

Answer:

x =  [tex]\frac{-6}{7+\sqrt{13}}[/tex]

r =  [tex]\frac{1+\sqrt{13} }{2}[/tex]

Step-by-step explanation:

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio.

For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.

-----

Let's take r=ratio of the geometric sequence

in first term, x is multiplied by  [tex]r^{0}[/tex]

First term:                   x [tex]r^{0}[/tex]

Second term: 4x+3 = x [tex]r^{1}[/tex]

Third term:     7x+3 = x [tex]r^{2}[/tex]

From the last 2 equation, we have to obtain r and x values.

Second equation - First equation:

3x = x r (r - 1)

Let's state: x different from 0, so we can simplify x, obtaining:

3 = [tex]r^{2}[/tex] - r

0 = [tex]r^{2}[/tex] - r - 3

r =  [tex]\frac{1+\sqrt{13} }{2}[/tex]  (only the positive value of r counts)

so, going to second term of the sequence:

4x+3 = x [tex]r^{1}[/tex] => x (4 - [tex]\frac{1+\sqrt{13} }{2}[/tex] ) = -3

x ([tex]\frac{7+\sqrt{13} }{2}[/tex] ) = -3  =>  x =  [tex]\frac{-6}{7+\sqrt{13}}[/tex]

hope it helps..

What system of equations is shown on the graph below?

On a coordinate plane, 2 lines intersect around (1.8, negative 0.8).

2 x + y = 3 and 3 x minus 4 y = 8
2 x minus y = 3 and 3 x + 4 y = 8
2 x + y = 3 and 3 x minus 4 y = 2
2 x minus y = 3 and 3 x minus 4 y = negative 2

Answers

Answer:

i thnk it is c correct me if i am rong

Step-by-step explanation:

Answer:

(C) I got it right

Step-by-step explanation:

on edge

Sanda withdrew $14.50 from his bank account for 6 weeks. What was the total change in his bank account after six weeks?

Answers

Answer:

87 is what he took out after six weeks is that it or?

Dejah is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line s and labels two points on the line as (−a, 0) and (0, b).

Enter the answers, in simplest form, in the boxes to complete the proof.

Answers

Answer:

math is hard :(

Step-by-step explanation:

12) (7 + a)-(-7a+1)
Help??

Answers

83+19a thAt the anwser I think

which of the following scenarios could be modeled by the expression 3/2 divided by 1/4

Answers

Answer:

I believe C.

Explanation:

I am pretty sure it's C but I don't really see it too well so I can't read the top two the best.

Yeah it’s for sure C

There are 120 students and 23 teachers going on a class trip. The buses used for the class trip hold at most 45 passengers. How many buses will be needed?​

Answers

Answer: 4 busses if each bus only hold 45 passengers at most.

Step-by-step explanation:

120 students

23 teachers=143 people

143 divided by 3 busses is only 47 so 3

busses wouldn’t be enough

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