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

Learn more : https://brainly.com/question/12474772


Related Questions

What is the equation of the line -3 x - 2 y= 30 in slope intercept form​

Answers

Answer:

[tex]y=-\frac{3}{2}x-15[/tex]

Step-by-step explanation:

The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

So, all we have to do is make y the subject.

[tex]-3x-2y=30\\-2y=3x+30\\y=\frac{3x+30}{-2} \\y=-\frac{3}{2}x-15\\\\[/tex]

Answer:

y = (3/2)x - 15

Step-by-step explanation:

For it to be in slope intercept form, y has to be the subject of the equation, so it's a simple matter of rearranging the equation.

Original:

-3x - 2y = 30

and we want y to be the subject, so we start moving terms:

-3x = 30 + 2y

-3x - 30 = 2y

now it's just a matter of dividing both sides by 2 to give y as the subject

(-3/2)x - 15 = y

y = (-3/2)x - 15

Find the slope of the line passing through the pair of points. (If an answer does not exist, enter DNE.)
(10, 0), (0, −6)

Answers

Answer:

0.6

Step-by-step explanation:

Lets plug these points in:

[tex]\frac{((-6)-0)}{(0-10)} =\frac{-6}{-10} =0.6[/tex]


PLSSSS HELP ILL GIVE THE BRAINLIEST ANSWER!!!!!

Answers

Answer:

y = [tex]\frac{3}{4}[/tex] x

Step-by-step explanation:

[tex]\frac{rise}{run}[/tex] , rise over run, the graph is positive

To form the blue parallelogram, the red parallelogram is dilated using point A as the
center of dilation. Which statement is true?

Answers

Answer:

option b

Step-by-step explanation:

have a great day

pls mark as brainliest

Answer:

B

Step-by-step explanation:

Graph and find the area of the figure with vertices (−3, −2), (−2, 1), (1, 1), (0, −2).

Answers

Answer:

9 unit²

Step-by-step explanation:

The points are plotted and the figure is a parallelogram with base and height both of 3 units long.

The area is:

A = 3*3 = 9 unit²

I need step by step solution..
the general solution of cosx-sin3x=cos2x is..??​

Answers

Answer:

I am doiiinnnnnnnnngggggg

whats 3/4+1/8 i dont know how to add them help im not cheating i promise i just need it to answer the question that i have and i couldn't ask it because it has a picture and i dont know how to take a picture on it because im on my personal chromebook

Answers

Answer:

7/8

Step-by-step explanation:

You multiply 3/4 by 2 to get a common denomerater, then you get 6/8, after you add 1/8 + 6/8 and get 7/8

A recent poll in your state shows that 25% of the vehicles are SUV’s and 10% are trucks. The pill counted 5 million SUV’s. How many of the vehicles did they look at in total?

Answers

Answer:

20 million vehicles in total

Step-by-step explanation:

25%=1/4

5 million vehicles = 25%

100%/25%=4

5 million * 4 = 20 million vehicles in total

IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

Answers

c-9

to find the amount of parents in the room we'd have take away the amoutn if children in the room from the total amount of people

25-9

thus, your expression to represent the amount of parents would be

c-9

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

what number is in the Tenths place for 315.84

Answers

Answer:

The number in the tenths place is 8

Step-by-step explanation:

Answer:

8.

Step-by-step explanation:

The first number after the decimal represents the tenths place. 315.84 8 is right after the decimal so it's in the tenths place.

.Factor 20x2 + 68x - 160

Answers

Answer:

4(5x-8) (x+5)

Step-by-step explanation:

4(5x^2+17x-40)

4(5x-8) (x+5)

PPPPLLLSSS HELP THIS IS WORTH SIXTY PERCENT OF MY GRADE. I DONT GET HOW SINCE IT ONLY TWO QUESTIONS BUT IT IS. PLEASE HELP
1. What is the value of the expression 15⋅6-2^2⋅8+4^3 is ______



2. What is the value of the expression 2^3+2^2⋅2+6-2^1⋅2^0-1 is ______

Answers

Answer:

122; 19

Step-by-step explanation:

#115 ⋅ 6 - 2² ⋅ 8 + 4³ =15 ⋅ 6 -  4 · 8 + 64 = 90 - 32 + 64 = 58 + 64 = 122#22³ + 2² ⋅ 2 + 6 - 2¹ ⋅ 2⁰ - 1 =8 + 4  · 2 + 6 - 2 · 1 - 1 = 8 + 8 + 6 - 2 - 1 = 22 - 2 - 1 = 20 - 1 =19

tina bought some clothes from a high end store that cost 6,719. her friend Betty bought the same quantity of clothes from a low end store that cost 1,282 how much money did Betty saved by buying at the low end store?what is betty total savings when rounded to the nearest thousands?​

Answers

Answer:

5437

Step-by-step explanation:

Subtract the original amount 6,719 and 1282

you get 5,437

Hope this helps!

Have a nice day! :D

Mark brainliest if possible pls :)

BAKERY Rolls are being prepared to go to grocery stores, Divide 72 rolls
into 2 groups so the ratio is 3 to 5,

Answers

Answer:

36

Step-by-step explanation:

72 divided by 2 = 36

Directions: Find the value of x.​

Answers

I think it would be 12.207… use the Pythagorean theorem (a^2+b^2=c^2) so 10^2+7^2
100+49=149
Then take square root of 149 to undo the the squaring of c and it should be around 12.207 :)

Answer:

approximately 7 cm

Step-by-step explanation:

I’m not absolutely sure so double check

help me quick please --4x-7-3x+4=25

Answers

Answer:

x = 32

Step-by-step explanation:

4x - 7 - 3x + 4 =25

=> 4x - 3x = 25 + 7

=> x = 32 (Ans)

The other dude is correct give him branliest

The average distance from Earth to the Moon is approximately 384,400,000 kilometers.

What is the average distance, in kilometers, from Earth to the Moon written in scientific notation?

A 3.844 x 10^4 kilometers

B 3.844 x 10^5 kilometers

C 3.844 x 10^7 kilometers

D 3.844 x 10^8 kilometers

Answers

9514 1404 393

Answer:

  D.  3.844 × 10^8 kilometers

Step-by-step explanation:

To write the number in scientific notation, put a decimal point after the most significant digits and write the rest of the significant digits after that. Multiply the number by the power of 10 that tells how many digits are between the most significant digit and the decimal point.

Here, the number has 8 digits between the most-significant digit (3) and the decimal point. Any trailing zeros are assumed to be not significant when the number is written without a decimal point. So, the number is written ...

  3.844 × 10^8 km

Find the product of 44.6 and 2.34.

Answers

Answer:

104.364

Step-by-step explanation:

Product means multiplication so:

44.6×2.34 = 104.364

I need the answer ASAP

Answers

Answer:

Step-by-step explanation:

49 i Think I dont know but your part A is correct

Answer:

49 For sure is your answer

A truck can be rented from Company A for ​$80 a day plus ​$0.40 per mile. Company B charges ​$40 a day plus ​$0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing ​miles, the rental costs are the same from either company

Answers

Answer: 400 miles

Solving Steps:
0.4x + 80 = 0.5x + 40
-0.1x + 80 = 40
-0.1x = -40
x = 400 miles

Which choice is the correct graph of [x1 < 5?
A 4
B
C
D
E
-
F
5
A. Graph A
O B. Graph B
C. Graph
ОО ОООО
O D. Graph D
O E. Graph E
OF. Graph F

Answers

Answer:

B

Step-by-step explanation:

Da"B"a"B"y

2 B so

"B" graph "B"

↑that explains it

Which of the following functions has a maximum value of m, where m is a positive constant?
With explanation please.

Answers

The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.  

For any function to have a maximum, the differential of the function must be equal to zero.

If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.

For the function [tex]f(x)=-(m+x)^2[/tex]

[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]

Since the value of m in the fourth equation does not tend to zero, hence the  function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]  

Learn more here: https://brainly.com/question/12185438

Helpppppppppppppppppppppp!!!!!!! Plzzzzzzzzzzzzzzz

Answers

Step-by-step explanation:

The sum of the interior angles of a triangle is equal to 180° so we can write

[tex]y + 2y + 3y = 180° \Rightarrow 6y = 180°[/tex]

Solving for y, we get

[tex]y = 30°[/tex]

So the other two angles of the triangle are

[tex]2y = 2(30°) = 60°[/tex]

and

[tex]3y = 3(30°) =90°[/tex]

In which quadrant does the point (3 , 19) lie?

A.
Quadrant I

B.
Quadrant II

C.
Quadrant IV

D.
Quadrant III

Answers

Answer:

A.

Quadrant I

Step-by-step explanation:

Quadrant I= Both co=ordinates positive.

The number 62 is less than the number of tickets sold in a day at an amusement park. Which of the following inequalities represents the number of tickets sold in a day at the park?

A.
x > 62
B.
x < 62
C.
x = 62
D.
x < 64

Answers

Answer:

A

Step-by-step explanation:

because > means more than the other number

What is the decimal equivalent of 9.7 X 10^5

Answers

Answer:

B)

Step-by-step explanation:

9.7×10⁵= 970000

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

Dos rectas se cortan formando un ángulo de 135°. Si se sabe que la recta final tiene una pendiente igual a 4, podríamos indicar que las rectas son:

Paralelas


b.
Semirectas


c.
Secantes


d.
Perpendiculares

Answers

Las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)

Las dos rectas en cuestión no pueden ser paralelas pues sus pendientes son distintas y, por consiguiente, se intersecan en algún lugar del plano.

Tampoco pueden ser semirrectas pues el enunciado indica que existen dos rectas y las rectas no tienen principio ni fin.

Mucho menos pueden ser perpendiculares, pues el ángulo es distinto a 90°.

En consecuencia, las dos rectas que se cortan formando un ángulo de 135° son secantes. (Opción: C)

Invitamos cordialmente a ver esta pregunta sobre rectas: https://brainly.com/question/21478732

Rationalise 10/√7-√2 ​

Answers

Solution:

[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]

[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]

( Decimal: [tex]2.36543...[/tex])

Steps:

1: Convert element to fraction.

[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]

[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]

2: Since denominator are equal, combine the fractions.

[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]

[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]

-----------------------

[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]

[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]

Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]

[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]

Plsssss help meeeee
The question and options are in the photo

Answers

Answer:

X = 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-5 + 2x = 3

2x = 3 + 5

2x = 8

x = 8 / 2

x = 4

answer is A. x = 4

Step-by-step explanation:

brainliest plz

Solve the equation for x. *x-3x+5 = 20 X + X =​

Answers

Answer:

5

Step-by-step explanation:

x = 5
sorry if im wrong :(
Other Questions
(Wow! That hurricane caused much damage in eastern North Carolina.5. What part of speech is "Wow"?6. Name one adjective. (2 possible answers)7. Which word is the verb?8. Which word is the object of the verb (the direct object)? Which graph represents the table only A or B which of the following is a characteristic of a nation state?A) A sovereign governmentB) A large populationC) A strong economyD) an official language 6a) find the value of x in the following proportions. a) 3:5=12:x b) 4:3=20:x c) 5:6=x:12 d) 7:2=x:6 8xy + 14x + 4x - 2xy + 6yI NEED HELP ON IT Halp me please ASAP thank you OMG PLS HELP ME N ANSWER Solve UV,RS,RT Please And Thank You Ever since she was little, people told Amelia she wouldnever become a doctor. Starting in ninth grade, shedecided to prove them wrong. She made straight As allthrough high school and college. The students around herpartied and formed relationships, but Amelia barely paidattention. She didn't have time for that kind of nonsense.She would become a doctor and start her career with abang.Which ending to the story most clearly serves as an anticlimax?A. After becoming a doctor, she met the love of her life, got marriedand had childrenB. But then she gained healing powers, so she no longer neededstudy medicine.C. However, she just couldn't get over the sight of blood; she failher ambition.D. In the end, Amelia was able to graduate; she became a successfuldoctor at a young age. divide -3 1/3 by 1 1/5 Convert 1.00 us gallon in kilometer (kL) What is the significance of this passage as seen through a historical lens? It reflects the humanist belief in human nobility and intelligence. It shows the new emphasis on personal education in the Middle Ages. It reveals the connection between religion and politics in Elizabethan England. solve 4(2x-5)=5x+4 pls Suppose f(x) = 3x*2 - 2xFind f(-4) VWrite the cubic polynomial function f(x) in expanded form with zeros 6, 5, and 2, given that f(1)=40 Practice Task #4 Conduct the following songs: 1. Lupang Hinirang ? 2. Rock a Bye Baby 4 3. Ikaw (Yeng Constantino) *4 4. Silent nights This rectangular prism was built with cubes that each have a volume of one cubic centimeter.What is the volume of the rectangular prism? Evaluate the expression x-7, if x= 12. 19 6 05. (please help :( ) If f(1) = 10 and f '(x) 3 for 1 x 6, how small can f(6) possibly be? V sao l cy li c mu xanh