A special piece of equipment is used at a construction site to dig holes. A hole is dug to a depth of 3.25 feet when the equipment hits rock. The progress slows to 5/8 feet per hour of digging. The depth of the hole must be at least 11 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the equipment must continue at its present rate to complete the hole on schedule?

Select from the drop-down menus to correctly complete the statement.
The equipment requires at least 13 or 23 hours and 2/6/12/36 minutes to complete the hole on schedule.

Answers

Answer 1

Answer:

13 hours and 12 minutes 


Step-by-step explanation:

You put 3.25 as a fraction which is 3 1/4. then I took 3 1/4 and misused it by 11 1/2. 23/2 - 13/4 = 8 1/4 then we took the 5/8 and divided it by 33/4 (3 1/4) I got 13 1/5. 13 1/5 is 13 hours and 12 minutes.

Answer 2

Minimum amount of time taken to complete the hole is 13 hours and 12 minutes.

What is proportion?

In mathematics, proportion is an equation where two ratios are taken to be equal to each other. Suppose if a:b = c:d, then [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex].

In the question, it is given that, a hole is already dug to a depth of 3.25 feet = 3 [tex]\frac{1}{4}[/tex] feet.

Also, the depth of hole at the end of the day must be atleast 11 [tex]\frac{1}{2}[/tex] feet.

Remaining depth of the hole needed to dug = 11 [tex]\frac{1}{2}[/tex] - 3 [tex]\frac{1}{4}[/tex] = [tex]\frac{23}{2}[/tex] - [tex]\frac{13}{4}[/tex] = [tex]\frac{33}{4}[/tex] feet

Rate of digging is [tex]\frac{5}{8}[/tex] feet per hour.

We have to find how much time will be taken for  [tex]\frac{33}{4}[/tex] feet.

In proportional form, it can be written as  [tex]\frac{5}{8}[/tex] : 1 = [tex]\frac{33}{4}[/tex] : x, where x is the time taken to complete  [tex]\frac{33}{4}[/tex] feet.

⇒  [tex]\frac{5}{8}[/tex] / 1 =  [tex]\frac{33}{4}[/tex] / x

Cross multiplying, we get

 [tex]\frac{5}{8}[/tex] × x = [tex]\frac{33}{4}[/tex] × 1

⇒ x =  [tex]\frac{33}{4}[/tex] × [tex]\frac{8}{5}[/tex] = [tex]\frac{66}{5}[/tex] = 13 [tex]\frac{1}{5}[/tex]

Hence the minimum amount of time the equipment must continue at the present rate to complete the hole on schedule is 13 hours and 12 minutes.

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Related Questions

Solve for x:
x³=23

Choose all that apply:

∛23

3

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23/3

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the answer is a because if you take the root of both sides of the equation that’s what uu get
The answer is A. (;

Given: x + 5 ≥ 10. Choose the graph of the solution set.

Answers

Answer:

We'll want to end this one with x ≥ another value.

Step-by-step explanation:

So, subtract 5 from both sides.

x+5≥10

-5    -5

x≥5

So, x must be greater than or equal to 5.

What is the volume of this rectangular prism?

Enter your answer in the box.

(Yes I Know I'm Annoying With The Questions.)

Answers

Answer: The Volume of a rectangular prism is:

Width x hight x length

Volume of Rectangular prism = W x H x L

539 + 35x = 2595
PLEASE HELP ME!!!

Answers

Answer:

x = 58.74

Step-by-step explanation:

539 + 35x = 2595=> 35x = 2595 - 539 => 35x = 2056=> x = 58.74

Conclusion:

Therefore, x = 58.74 is the answer.

Hoped this helped.

a ÷ (2 + 1.5) for a = 14

answer the problem, this is 6th grade work

Answers

If you still need help, the answer may be 4
The answer is 4
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U substitute 14 in for a and the equation becomes 14/3.5 which equals 4.

PLEASE HELP!!!!! thx :)
Jorge makes a cylindrical birthday cake as shown in the figure. He slices it vertically
into two equal pieces, cutting directly through the center of the cake.

Which statement best describes the resulting cross section?

Answers

Answer: What are the statements.

comment on this and tell me plz ill help

Step-by-step explanation:

Answer:

You didn't show the figure

1/2?

cutting from middle is 1/2

The tape diagram represents an equation...

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Answers

6+t=9

I think thats the answer, i forgor

Hopes this helps

Answer: try this for an example there are 6 boxes and you needed to make 9 whold you use 1.5 x 6 what does that equal yep 9

Step-by-step explanation: make me brainlist

Which exspression is equivalent to 2(m - 5) + 6

Answers

The expression that is equivalent to 2(m - 5) + 6
is 2m - 4.
The given algebraic equation consists of
numbers, arithmetic operations, and variables.
The first thing to do is to open the brackets.
After that, we will sum up or subtract the like
terms.
Given that:
=2(m - 5) +6
=2m - 10 + 6
=2m - 4
Therefore, we can conclude that the expression
that is equivalent to 2(m - 5) + 6 is 2m - 4.

PLEASE HELP ME SOLVE THIS!
-2.7f+0.7f-16-6

Answers

Answer:

-2.4f - 21

Step-by-step explanation:

please mark brainliest

-2.7 + 0.7- 16 - 6= -24

The triangle below has sides of 4 meters, 7 meters, and 6 meters.

Is it a right triangle? Explain your reasoning

Answers

Yes it is a right triangle because where sides 4 and 6 meet it’s creates a 90 degree angle making it a right right triangle

Answer:

a right triangle makes up one side a right so a right would be 90 degrees so no its not

Step-by-step explanation:

helpppppppppppppppppppppppppppppppppp

Answers

Step-by-step explanation:

The balance on a credit card, that charges an 18% APR interest rate, over a 1 month period is given in the following table:

Days 1-3: $150 (initial balance)

Days 4-20: $200 ($50 purchase)

Days 21-30: $50 ($150 payment)

What is the finance charge, on the average daily balance, for this card over this 1 month period?

round to the nearest hundredth

What is the range of possible sizes for side x?

Answers

Answer:

it might be 8-9.5 correct me if i am wrong

Step-by-step explanation:

I believe the answer is 8-10.5

A system of equations is graphed below.
Which point represents the solution to this system?

Answers

[tex] \huge \bf༆ Answer ༄[/tex]

The solution of the system of equation is the coordinates of the common point on both lines !

that is ~

[tex] \sf( - 3,2)[/tex]

Therefore the Correct choice is C

A Karen's car is shown below.Which is closest to the distance traveled, in feet, after 3 full rotations of the tire? use pi = 22/7.

Answers

Answer: This is approximately 3.14

Awnser this is aprox 3.14

Please don't spam. I will be so ****** if you do

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Answer: please don't be ********* at me also the answer is c

C is the correct answer

How much greater is 4/9 than 2/9. Please answer.
No links or unreasonable random answers. Thank you.

Answers

Step-by-step explanation:

A better way to word this is how much more is 4/9 than 2/9 which is 2/9 more because 2/9 plus 2/9 is 4/9 and the denominator stays the same

I really need help if u want to help me I will be ur best friend lol help me pls girls and boys! also, i neeeeeed you to not just use this for points, i actually need help ya'll

Answers

Answer:

denise:39

Denise:19.5

David:19.5

Step-by-step explanation:

They split the pears between the two. it shows that n is 39 and the both had pears

denise:19.5

David:19.5

Answer:

denise:39

Denise:19.5

David:19.5

Step-by-step explanation:

look at the other person srry

Max has x dollars. Keisha has four more dollars than Max. Which anwsers are correct, choose few.

A. x

B. 4

C. 7

D. x + 7

E. x + 4

F. x + 3

G. r - 4

Answers

Answer: F

Step-by-step explanation:

I think B and E? Because we don't know how much Max has. So if she has just four more add it to x.

find the sum or difference 7/8 + 9/16

Answers

Answer:

The answer is 23/16 but if you want it to be a mixed number, it is 1 7/16.

Step-by-step explanation:

The answer is 23/16, or in mixed fraction form: 1 7/16 (work shown out)

Select all the fractions that are equivalent to 4.05¯¯¯¯¯.
405/99
401/99
81/33
802/198
405/100 (can only give 2 answers, so yea...)

Answers

It is 401/99 and 405/100

But if you only want one answer, then do 405/100

Hope this helps! :)
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You and your family go out for dinner the bill is $240.00. You have a coupon for 20% off. After the discount, you want to leave a tip of 15%. How much in total , will you leave the waiter?

Answers

Answer: 28.8

Step-by-step explanation: first we find out 20 percent of 240=48

240-48=192 after discount

15 percent of 192= 28.8

28.8
step by step explanation

I need this ASAP please!!!

Select the correct answer.

Which equation, when solved,
gives 8 for the value of x?

A 5/2x + 7/2 = 3/4x + 14
B 5/4x -9 = 3/2x -12
C 5/4x -2 = 3/2x -4
D 5/2x - 7 = 3/4x + 14

Answers

Answer:

c

Step-by-step explanation:

The answer is c here are the steps to get the answer 8

Joe has $150 in his saving account and saves $40 per month. Which equation represents the amount Joe has in his account after x months?

1. y=150+40
2. y=150x+40
3. y=40x+150

Answers

Answer: 3. Y=40x+150.

Answer  y=150+40 it equals $190

Step-by-step explanation:

A professional football field is 120 yards long and 53 yards wide. How far will you run if you go all the way around it?

Mrs. Payfer's desk is 3 feet by 2 feet. What is the perimeter of her desk?

What is the perimeter of a square with a side that measures 15 m?

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Answers

1.346 yards
2.10 feet
3. 60 m

Answer:

1) 346 ft.

2)10 ft.

3)60 ft.

Step-by-step explanation:

1) the equation for finding the perimeter of a rectangle is P=2L+2W. so, P=2(120)+2(53). P=240+106. P=346.

2) The equation is P=2L+2W. P=2(3)+2(2). P=6+4. P=10

3) the equation for finding the perimeter of a square is P=4s. So P=4(15) P=60

Hope this helps!

Which equation is shown in the graph?

Best answer gets brainliest!

Answers

Answer:

C) y=x^2+x-6

Step-by-step explanation:

Looking at the first picture, the equation is way too high, thus A is incorrect

Looking at the second picture, the equation is also too high, thus B is incorrect

Looking at the third picture, the equation is at the graph, thus C is correct

Looking at the fourth picture, the equation is more at the right than at the left thus the equation is incorrect

Hope this helps!

Nuha is 5 years older than her brother Cole. The sum of their ages is 37. How old is Nuha?

Answers

Cole age = x

Nuha age = x+5

 

x+x+5 =37

 

2x +5 =37

 

2x =32

 

x =16

 

Cole age = x  = 16 yrs

Nuha age = x+5 =16+5 =21 yrs

So, she is 21!

Answer:

Nuha is 16

Step-by-step explanation:

x+x+5 =37

2x +5 =37

2x =32

x =16

Maria has already written Two-fifths of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute, which expression shows the amount of time it will take her to write the rest of the essay?

1000 times two-fifths times 13/ 2
1000 times two-fifths divided by 13/ 2
1000 times three-fifths times 13 / 2
1000 times three-fifths divided by 13/2

Answers

Answer: B

Step-by-step explanation: Well use the process of elimination, there are no three-fifths in the equation so you can exclude options C and D, and then you take the remaining words left (600) and divide it by 6 and 1/2 to get how much time left. you wouldn't multiply it because that would increase the time which doesn't make sense.

Marissa is biking with friends. Their distance traveled can be determined by the equation D = 13h, where D is the distance, in miles, and h is the number of hours spent biking. Identify the constant of proportionality.

Answers

Answer:

The 13 would be the constant.

Step-by-step explanation:

Someone help me with this please, I really need help, and it's due tmrw...PLEASE

Answers

Answer:

y=(x*9)-4

Step-by-step explanation:

for example:

0*9=0

0-4=-4

4*9=36

36-4=32

2*9=18

18-4=14

hope this helped ;)

y = 41
the difference is 9

A tire from Karens car is shown below Which is closest to the distance traveled, in feet, after 3 full rotations of the tire? use pi= 22/7

Answers

Answer:

264 inches

Step-by-step explanation:

Circumference = pi x diameter

28 x 22/7 = 88 (in)

88 x 3  = 264 (in)

The closest distance traveled by Karen's car is, 18.86 feet.

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We know that;

One rotation of the tire is equal to the circumference of the tire.

And, The formula for circumference of a circle (remember that a tire is shaped as a circle) = πd

where, π = 22/7

d = diameter

Here, The size of one revolution = 2 x 22/7

                                                   = 44/7 feet

Hence, The distance covered in one rotation of the tire is 44/7 feet

So, The distance covered in 3 rotations = (44/7) x 3

                                                             = 18.86 feet

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The complete question is this,

A tire from Karen's car is shown below. Which is the closest to the distance traveled, in feet, after 3 full rotations of the tire? The diameter is 2 feet, by the way.

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