Moving at a constant rate, a trench machine is advertised as being able to dig 36-foot trenches in 40 minutes. A farmer uses the same machine to dig trenches that are 58.5 feet long, with each trench taking 65 minutes to complete.

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Step-by-step explanation:

y-b=m(x-a)

y--10=1/6(x--6)

y+10=1/6(x+6)

6y+60=1(x+6)

6y+60=1x+6

6y=1x-54

y=1/6x-54/6

y=1/6x-9

The  equation of line is y= 1/6x - 9.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope= 1/6

and, passes through (−6,−10)

Now, using slope intercept form

y- a =m (x- b)

y - (-10)= 1/6(x -(-6))

y + 10= 1/6( x + 6)

y + 10 = 1/6x + 1

y= 1/6x - 9

Hence, the equation of line is y= 1/6x - 9.

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Answer:

Step-by-step explanation:

translation of PQR is 6 to the left

Answer:

send this to me in my messages I cant see it

Step-by-step explanation:

But i Can help you if you message it or type it to reply

Answer:

The students score at the end of round one is 2

Step-by-step explanation:

if you start at 0 points

0 - 5 = -5

-5 - 3 = -8

-8 + 17 = 9

9 - 7 = 2

Answer:

first off u are not dumb and the answer is their are 3,00 feet in a yard an the next one is 91,44 and the last one is the same as the secent one

Step-by-step explanation:

Answer:A this is your answer

Step-by-step explanation: hope this helps you

Answer:

The answer is C. One factor is positive and one factor is negative, so the product will be negative.

Answer:

-1

Step-by-step explanation:

Answer:

If you want to solve it here is the answer x = 15

Step-by-step explanation:

x/3+10 = 15

x/3+10-10 = 15-10                        (what you do to 1 side you do to the other too)

x/3 = 5

x/3*3 = 5*3

x = 15

Answer:

its 5/3+10=15

Step-by-step explanation:

15/3=5

3.14x14=43.96

so therefore the answer is 43.96

Answer: 24

Step-by-step explanation:

Answer:

non proportional

Step-by-step explanation:

Answer:

non proportional

Step-by-step explanation:

proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Answer:

The answer is

[tex] \frac{3}{2} [/tex]

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Answer:

1/5 divided by 1/10 is 15. The friend's error was that they did not keep, change, and flip. They did 1 divided by 1 which equals 1, and then 5 divided by 10 which equals 50. This is what gave them 1/50.

Answer:

[1] -2 2/3 + (-3 1/6)  [2] -2.2*3.4  [3]  4.2/-6  [4]   -3 3/5 - (-3 1/10)

Step-by-step explanation:

[1] = -5.91666

[2] = -7.48

[3] = -0.7

[4] = -0.5

Answer:

Yellow = 2/3(Blue)

Step-by-step explanation:

You only really need the first row of the table since it shows the volume of yellow to the volume of blue.

Before we write the equation we have to find the ratio and to do that we divide.

Divide the amount of yellow by the amount of blue:

3.5/ 5.25 = 0.666 = 2/3

now we can write the eqaution:

Yellow = 2/3(Blue)

Answer:

2.54/1 = x/35

Step-by-step explanation:

2.54 cm per 1 inch = 2.54/1

35 inches total: x/35

2.54/1 = x/35

Answer:

6.8 km/hr

Step-by-step explanation:

If Sara ran 34 km in 300 minutes, then, in one hour, she would run

=> 34 : 300

=> ? : 60

=> 300 / 5  : 34 / 5

=> 60 : 6.8

So, if she travels 6.8 km in 60 minutes, her speed is 6.8 km/hr

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Answer:

B would u like an explanation

Step-by-step explanation: Okay my explanation was that it says :       A health food store has 250 samples of a new snack to distribute. Customers are taking samples at a rate of 25 each hour. If the store has to keep at least 50 samples for display, which inequality could be used to represent h, the number of hours the samples will last?  what you do is take 250 and subtract 25 hrs from it its super simple  and you get 50 so if they made 50  they candouble that to 10 and in 25 hrs only half of i will be gone so they will have 50 exxtra to feed the next se ofpeople

Answer:

C. (31)(-10) = -310

Step-by-step explanation:

A. (-9)(-9) = -81

negative times a negative is a positive  incorrect sign

B. (-12)(4) = 48

negative times a positive is a negative incorrect sign

C. (31)(-10) = -310

positive times a negative is a negative correct sign

D. (26)(3) = -78

positive times a positive is a positive  incorrect sign

Answer:

C. (31)(-10) = -310

Step-by-step explanation:

This equation has the correct sign, because multiplying a positive number and negative number gives you a negative number.

The other answer choices have the wrong signs.

Multiplying 2 negatives together gives a positive, so A is wrong.

Multiplying a negative by a positive gives a negative, so B is wrong as well.

D is wrong because multiplying 2 positive numbers gives a positive number.

So, C is correct.

Answer:

1/5 and 9/2. 3/5 and 3/2. 4.5/5 and 2/2.

Multiply either of those pairs together and you should get 9/10.

Answer:

D'(-6,-4)

Step-by-step explanation:

When making this non rigid transformation about a point, keep in mind that a dilation by a certain scale factor can be represented by:

Answer:

81.8%

Step-by-step explanation:

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percent of the class turned their homework in on time is 81.82%.

A percentage is a number or ratio that can be expressed as a fraction of 100.

here, we have,

given that,

In Mrs. Stone's class, 18 out of 22 students turned in their homework on time.

now,

the  percent of the class turned their homework in on time is,

18/22 * 100

=81.82%

hence,  percent of the class turned their homework in on time is 81.82%.

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Answer:

y = 2x + 6 is slope 2 and y-intercept (0,6)

y = –4x – 6 is slope -4 and y- intercept (0,6)

Answer:

I know an app its called math-way its really good for math

Step-by-step explanation:

Answer:

w+1.3=2.7 i think

Step-by-step explanation:

Answer: 1.) The slope of the longer ramp is 1/12

2.) The longer ramp from the ground to the landing is steeper. 1/12 is steeper than 1/18. A graph of the slope shows this. See attachment.

3.) If you know the run, you can find the rise by multiplying the run by the slope.

4.) The rise from the landing to the door is 1/2 foot or 6 inches.

5.) The total height of the door above the ground is 2 ft or 24 inches.

Step-by-step explanation: Sometimes it helps to draw a sketch of the info given then make notes as you find solutions. (See in attachments)

1.) 1:5/18. Multiply by 2/2. It becomes 3/36. simplify to 1/12

4.) Multiplying 9ft by 1/18

It's the same as dividing 9÷18= 0.5 ft. OR  9 feet is 108 inches. 108÷18 = 6 inches

5.) Given height, ground to landing: 1.5 ft plus calculated  0.5ft = 2 ft.

OR 18 inches + 6 inches = 24 inches

The answers to questions comparing the sections of the Ramp are;

1) Slope = 1/2

2)The first section of the ramp is steeper because it has a greater slope.

3) Multiply the horizontal distance by the slope.

4) Vertical distance from landing to the door = 0.5 ft

5) Total height of the door above the ground = 2 ft

We are given that;

Height of landing above the ground = 1.5 ft

Horizontal distance of first section of ramp to landing = 18 ft

Horizontal distance of second section of ramp from landing to door = 9 ft

Slope of Second section of ramp = 1/18

I have attached an image showing the ramp alongside the given data;

With these given data, let's proceed to answer the question;

From the attached image, we see that for the first section;

vertical height = 9 ft

horizontal distance = 18 ft

Thus, slope = 9/18 = 1/2

The slope for the second section is 1/18 = 0.056

The slope of the first section is greater than that of the second

section and thus we will say the slope of the first section is steeper.

Now, since we know the horizontal distance for this second section as 9 ft and the slope as 1/18, then by proportion, to get the vertical distance (x), we will just multiply the horizontal distance by the slope.

x = 9 × (1/18)

x = 1/2 ft

x = 0.5 ft

Height from the landing to the door = 0.5 ft

Total distance from ground to the door = 1.5 + 0.5 = 2 ft

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