1. A new drill is used to dig a hole in the ground. At noon, the hole is 13.2 feet deep when the new drill is turned on for the first time that day. At 2 p.m., the drill has dug the hole to be feet deep. The new drill dug 1.5 times as much of the hole as the old drill would have in the same length of time.
(a) What expression represents the number of feet the new drill dug?
(b) How many feet would the old drill have dug in the same length of time? Show your work. Answer the question in a complete sentence.

Answers

Answer 1

Using the subtraction and division operation, the depth dug by the new drill, and the depth that would have been dug by the old drill are 29.05 feets and 19.37 feets respectively.

The expression for the number of feets dug by the new drill can be calculated thus :

Final depth - Initial depth

Depth dug = 42.25 feets - 13.2 feets

Depth dug = 29.05 feets

The new drill dug 1.5 times the depth that woukd have been dug by the old drill :

Depth dug by old drill = 29.05 / 1.5

Depth dug by old drill = 19.37 feets

Therefore, the depth dug by old drill will be 19.37 feets

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Related Questions

Solve for in terms of A and w. A=w

Answers

Answer:

Step-by-step explanation:

Given A = w:

w in terms of A is w = A, and

A in terms of w is A = w

Please help me, this is due in 2 hours and I need this done plz.

Answers

Answer:

It's probably it

Step-by-step explanation:

A = (-4, -2)

B = (1, 6)

Imagine a new point (C) where they intersect (1, -2)

Now we can form a triangle, the distance between A and B will be the hypotenuse.

h² = 5² + 8²

h² = 25 + 64

h² = 89

h = [tex]\sqrt{89}[/tex]

h = ~9.43...

h = 9

PLEASE HELP ME SO I CAN GRADUATE!!!!!
What is the y-intercept of the line passing through the point (4,-5) with a
-2
slope of ?
A.
41
9
O
B.
O
O
D.
49
9

Answers

Answer:

A: -41/9

Step-by-step explanation:

Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.

-5 = -1/9(4) + b

-5 = -4/9 + b

Solve for b:

b = -41/9

Our equation: y = -1/9(x) - 41/9

when f(x) is greater than 0

Answers

Answer:

Step-by-step explanation:

Find the coordinates of point) along the directed segment AB that partitions it so that the ratio of AP to PB is 1:2. NO LINKS OR ASSESSMENT!!!!​

Answers

Answer: (1, 3)

Step-by-step explanation:

There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it.  For the sake of simplicity, I will solve it without the pythagorean theorem.

As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically.  Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.  

Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)

Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.

Answer:

P(1, 3)

Step-by-step explanation:

Coordinates of A and B:

A(-1, 4), B(5, 1)

The partition ratio:

AP/PB = 1/2

Coordinates of P are:

x = -1 + 1/3(5 - (-1)) = -1 + 6/3 = 1y = 4 + 1/3(1 - 4) = 4 - 3/3 = 3

Find the rate of change demonstrated in the graph below.

Answers

The rate of change of a graph, is the slope of the graph.

The rate of change of the graph is 4.5

The points on the graph are:

[tex]\mathbf{(x,y) = (2,9) (4,18)}[/tex]

So, the slope (m) is calculated as:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

This gives

[tex]\mathbf{m = \frac{18 - 9}{4-2}}[/tex]

[tex]\mathbf{m = \frac{9}{2}}[/tex]

[tex]\mathbf{m = 4.5}[/tex]

Hence, the rate of change of the graph is 4.5

Read more about rates at:

https://brainly.com/question/12786410

3. A company that makes scarves has many
different styles and colors that people can order.
The company keeps track of the number of each
style/color combination they make and the
average sale price for the scarves having that
combination. They create a scatter plot using the
data with the number of scarves along the x-axis
and the average price per scarf, in dollars, along
the y-axis.
The data in the graph suggest a linear
relationship. Which of the following could
represent the regression equation? (2 pt)

Answers

Answer: y=−0.004x+5

Step-by-step explanation:

Please help me asappp

Answers

-572.85 i just took the test and got it right

simplify the expression -2x(x+3) A: -x -6 B: -x + 6 C: -2x + 6 D: -2x - 6​

Answers

Answer:

D

Step-by-step explanation:

-2x(x+3)

-2x-6

x+2y-z=5
-X-y+2z=-13
2x+y-2z=14

Answers

Answer:

[tex]x+2y-z=5 ...(1)\\ -x-y+2z=-13...(2) \\ 2x+y-2z=14...(3) \\ \\ add \: (2) + (3) \\\boxed{x= 1} \\ 2 \times (1) + (2) \\ x + 3y = - 3 \\ 1 + 3y = - 3 \\ 3y = - 4 \\ \boxed{y = - \frac{4}{3} }\\ solve \: for \: z \\ x + 2y - z = 5 \\ 1-\frac{4}{3}(2)-z=5\\3-8-3z=15\\3z=-20\\\boxed{z = - \frac{20}{3} }[/tex]

The graph shows a proportional relationship between the number of cans of tennis balls and the total number of tennis balls.
What does the point (2, 6) represent in this situation?

Tennis Balls graph showing number of tennis balls on the y axis and number of cans on the x axis. A line begins at the origin and passes through the points 1 comma 3 and 2 comma 6.

Answers

Answer:

There are 6 tennis balls in 2 cans.

Answer: c and e

Step-by-step explanation:

because im smart like that

Members of a softball team raised $1319.25 to go to a tournament. They rented a bus
for $776.50 and budgeted $41.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament. Giving 100 points please help

Answers

Answer:

13 players

Step-by-step explanation:

Money Raised=RentedBus+Meals

1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)

Subtract 776.50 from both sides:   542.75=41.75x

Divide both sides by 41.75:   13=x

Remember that x is for the number of players so there'll be 13 players going to the tournament.

Answer:

1319.25=776.50+41.75p

13 players

Step-by-step explanation:

Enter the data as given, on the sample Form 1040EZ below. (Do not enter dollar signs or commas.)
Enter a social security number. It is 039-29-7319.
Enter 000-00-0000 for Spouse's Social Security Number
On line 1 enter $5,000.00
On line 2 enter $50.00.
On line 4 enter the total of line 1 plus line 2.
On line 5 put an "x" at yes and enter one zero.
On line 6 enter the total from line 4.
On line 7 enter $757.50
On line 10 enter $5,050 x 0.15 = 757.5
On line 11a enter line 7 minus line 10.
On line 12 enter line 7 minus line 10.
Type "John" in the signature box. (Your name would normally go here.)

Answers

9514 1404 393

Explanation:

Of course, copying the form is the same as following the instructions telling you how to fill in the form.

Line 4 is the sum 5000 +50 = 5050.

Lines 11a and 12 are the difference 757.50 -757.50 = 0.

Pablo mixes 3 units white paint and 1 unit black paint to make gray paint

Answers

Answer:

Whats the Question?

Step-by-step explanation:

If < A and < B are supplementary angles, m (​

Answers

Answer:

m<A + m<B = 180 degrees = 2pi radians

Step-by-step explanation:

what is a Scalene triangle?

Answers

Answer:

A triangle that has no equal sides is a scalene triangle.

Help please for brainliest

Answers

Answer:

C

Step-by-step explanation:

a quadratic polynomial has an x² term

a binomial has 2 terms

leading coefficient is the coefficient of the term with largest exponent

4x² - 8x

is a quadratic (x² term )

is a binomial ( has 2 terms )

has a leading coefficient of 4 (4x² )

8. If a vehicle is moving at a constant speed of 60 miles per hour, how many
miles will it travel in 1 hour and 20 minutes?
(A) 60
(B) 65
(C) 80
orden des
(D) 90
e are !
105 area o

Answers

Answer:

C.  80 miles.

Step-by-step explanation:

20 minutes is 1/3 of an hour so it travels 60 * 1/3 = 20 miles in 20 minutes.

80
Eighty miles per 80

Find the constant of proportionality
when x = 2 and y = 1.5

Answers

Step-by-step explanation:

y=kx

1.5=k×2

1.5/2=k

15/2×10=k

3/2×2=k

3/4=k

0.75=k.

Suppose there is a 1.2 drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is ​57.8, what will be the temperature when the plane reaches an altitude of ​7000?

Answers

Answer:

ysgsvdbdbdjdnd dndjdnd

What is the value of k?

2k+9=7−3k


k=−2

k=−0.4

k = 2

k = 3.2

PLEASE HELP !!!!!

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]k = -0.4[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]2k+9=7-3k\\\rule{150}{0.5}\\\rightarrow 2k + 9 = 7-3k\\\\\rightarrow 2k + 3k + 9 = 7 - 3k + 3k\\\\\rightarrow 5k + 9 = 7\\\\\rightarrow5k + 9 - 9 = 7 - 9\\\\\rightarrow 5k = -2\\\\\rightarrow \frac{5k=-2}{5}\\\\\rightarrow \boxed{k = -\frac{2}{5} = -0.4}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Type the missing number in this sequence:
16, 7, __, -11, -20​

Answers

-2

The difference between 16 and 7 is 9 and the difference between-11 and -20 is 9 as well meaning that the numbers go down in 9

therefore 7-9 is -2

Hope this helped you- have a good day bro cya)

-2. 7-9= -2. Hope this helps

Choose all options that apply. In the US Customary System, which of the following terms is used to measure volume? a) Cup b) Tablespoon c) Liter d) Fluid ounce

Answers

Answer:

D) Fluid ounce

Step-by-step explanation:

Fluid ounces are a unit used to measure volume, or how much space something takes up. This measurement is used for liquid ingredients, like water or milk. When a recipe calls for fluid ounces, go ahead and pull out your measuring cup; it's the most accurate way to measure this.

I hope this helps, and stay safe!! :)

Answer:

A and D because yeah its right

We expect that students who do well on the midterm exam in a course will usually also do well on the final exam. Gary Smith of Pomona College looked at the exam scores of all 346 students who took his statistics class over a 10-year period. The least-squares line for predicting final-exam score from mid-term exam score was γ=46.6 + 0.41x.
Octavio scores 10 points above the clas mean on the midterm. How many points above the class mean do you predict that he will score on the final. (Hint: what is the predicted final-exam score for the class mean midterm score of x-bar?) This is an example of regression to the mean, the phenomenon that gave "regression" its name: students who do well on the midterm will on average do less well on the final, but still above the class mean.)

Answers

Using the model equation, the predicted mean score on the final given a score of 10 points above the class mean in the mid term exam is 50.7

The Least - Square Regression equation which models the relationship between midterm and final exam score is :

γ=46.6 + 0.41x

x = 10 points ; substitute the value of x = 10 into the regression equation ;

γ=46.6 + 0.41(10)

γ=46.6 + 4.1

γ = 50.7

The number of points above the mean he'll score in the final exam is predicted to be 50.7

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2/3 divided by 3/4 simplified

Answers

8/9 is the answer to your question

3x−(2x+1) simplify the expression

Answers

Solution:

[tex]3x - (2x + 1) \\ = 3x - 2x - 1 \\ = x - 1[/tex]

Answer:

x - 1

Answer: x-1

Step-by-step explanation: in the picture

A rectangle prism has a volume of 72 cubic ft.³ it has a height of 4 feet and the width of 3 feet what is the length and feet of the prism?

Answers

Answer:

volume = height × length ×width

volume =18×14×2

volume =504ft³

Step-by-step explanation:

answer 504ft3

Which pair of angles are supplementary?

Answers

Answer:

1 and 7

Step-by-step explanation:

supplementary means that they add up to 180º

1,3                    5,6              1,7          

2,4                   7,8              2,8

1,2                    5,7              3,5

3,4                   6,8              4,6

There are still some more but my hands are tired of typing.

Answer:

A: 1 and 7

Step-by-step explanation:

when 2 angles are put next to each other on a straight line with a line going through the middle those two angles always add to 180 since 180 is equal to a straight line.

supplementary angles are 2 angles that together make 180.

out of the options given, all of them except 1 and 7 are equal angles and as a result would not add to 180. if you put angles 1 and 7 on a straight line together, they do, thus the answer is A, aka 1 and 7.

PLZ HURRY IM TIMED and no silly answers


Malia split up the large container of salsa that she bought equally into 5 bowls to place around her house for the party. If each bowl contained 8.5 ounces of the salsa, which shows the correct equation and value of x, the total amount of salsa in the original container?
StartFraction x over 5 EndFraction = 8.5; x = 1.7 ounces
StartFraction x over 5 EndFraction = 8.5; x = 42.5 ounces
5 x = 8.5; x = 1.7 ounces
5 x = 8.5; x = 42.5 ounces

Answers

Step-by-step explanation:

I would say 5 x= 8.5; x = 42.5 ounces that's my guess

square root of 31 is between which two integers?

Answers

Answer:

5 and 6

Step-by-step explanation:

5 and 6 I just took the test!
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