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

help me quickly please!!
if
AC= 143
BC= 8x+4
AB= 7x+4
find BC.

Answers

Answer:

BC is 12x. An addition problem.

Step-by-step explanation:

Let me know if I am wrong.

Answer:

AC

Step-by-step explanation:

PLease help me dont answer if u dont know

Answers

Answer:

[tex]a_n=-8+(n-1)-7[/tex]

Step-by-step explanation:

General arithmetic sequence formula: [tex]a_n=a_1+(n-1)d[/tex]

where [tex]a_1[/tex] = first term, and d = common difference.

The first term is -8

And the common difference appears to be - 7 as 7 is subtracted to get to the next term. Ex. -8 - 7 = -15, -15 - 7 = - 22 and so on.

To get the explicit formula of the sequence we simply plug in the values of a1 and d the general arithmetic sequence formula

General formula: [tex]a_n=a_1+(n-1)d[/tex]

We have [tex]a_1=-8[/tex] and d = -7

So the formula to find the nth term would be

[tex]a_n=-8+(n-1)-7[/tex]

HELPPPPPP ASAP PLSPLSPLSPLSPLSPLSPLS

Half of the sum of a number n and 14 equals 5. What is the number n ?
n = 24
n = 12
n=−2
n=−4

Answers

Answer:

n = -4

Step-by-step explanation:

n+14/2 = 5

x2           x2

n + 14  = 10

    -14     -14

        n = -4

N=-4

Explaination
N+ 14/2= 5

-4+14=10
10/2=5

Therefore n= -4

Find the missing values in the ratio table. Then write the equivalent ratios. People 6 18 Benches 3 12 a The equivalent ratios are 6 : 3, : 12, and 18 : . Skip to navigation

Answers

The missing values in the ratio table are;

⇒ 6 : 3 , 24 : 12, and 18 : 9

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Peoples = 6 ,   18

Benches = 3, 12

Now,

The equivalent ratios are;

⇒ 6 : 3 , x : 12 , 18 : y

Find the values of x and y as;

Since, All the ratio are equivalent.

So, we get;

⇒ 6 : 3 = x : 12

⇒ 6 / 3 = x / 12

⇒ 6 × 12 / 3 = x

⇒ x = 24

And, ⇒ 6 : 3 = 18 : y

⇒ 6 / 3 = 18 / y

⇒ 6 × y = 18 × 3

⇒ y = 18 × 3 / 6

⇒ y = 9

Thus, The missing values in the ratio table are;

⇒ 6 : 3 , 24 : 12, and 18 : 9

Learn more about the ratio visit:

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i will give brainly if you’re right and if you explain

Answers

[tex]area \: of \: circle = \pi \times {r}^{2} \\ area \: of \: circle = 9\pi \times ft {}^{2} \\ 9\pi \times ft {}^{2} = \pi \times {r}^{2} \\ = r = \sqrt{\ 9 pi \times \: ft {}^{2} } \\ r = 3ft[/tex]

The measure of an angle is 3.3°. What is the measure of its supplementary angle?

Answers

Answer: The supplement of an angle is 60 less than 3 times the measure of the complement.

Step-by-step explanation:

a supplementary angle is thrice as much as the complementary angle.

Not sure but hope it helped :)

Chris went to the store to buy some sports equipment. His mother had given him $30.00 to spend, and Chris took some of his own money along. He bought shin guards for $15.00, 2 pair of soccer socks for $7.99 each and a mini-soccer ball for $9.99. How much of his own money did he need to use?

Answers

Answer:

10.97

Step-by-step explanation:

Add 15, 7.99, 7.99, and 9.99. Then subtract 30 witch = 10.97

I got you!
It’s 10.97

Please help! This is due tomorrow!

Answers

[tex]\left(\dfrac 14 x -7 \right) - \left(\dfrac 34 x - 5 \right)\\\\\\=\dfrac 14 x -7 - \dfrac 34 x +5\\\\\\=x\left(\dfrac 14 - \dfrac 34 \right) -2\\\\\\=- x\left(\dfrac 24 \right) -2\\\\\\=-\dfrac 12 x -2[/tex]

Answer:

-1/2x-2

Step-by-step explanation:

Distribute the negative sign from the right side to make the equation positive

1/4x - 7 + (-1)(3/4x) + (-1)(-5)

(basically multiplying -1 to 3/4x and -5 to eliminate it)

1/4x - 7 + -3/4x+ 5

Make the equation similar

(1/4x + -3/4x) + (-7 + 5)

combine like terms

1/4x + -3/4x = -2/4x --> Simplifies to -1/2x

Do the other integers

-7 + 5 = -2

Put it together

-1/2x-2

what is the solution to the inequality: -2x>30

Answers

Answer: any neative number thats -16 and up

for example -16, -17,-18 etc

Step-by-step explanation:

Your answer for that inequality would be..

x < -15

Trust me this is the correct answer.

PLEASE SOLVE THIS!!!
6-3y+(-8y)+5.3

Answers

-11y+11.3

Combine like terms… -3y-8y=-11y
6+5.3=11.3

Answer:

11.3 - 11y

Step-by-step explanation:

remove parenthesis: 6 - 3y - 8y + 5.3

collect all the like term: 11.3 -11y

T-T help, i do not understand functions....

Answers

1. Rate of change is 2/5
2. Rate of change is 1.5
3. Rate of change is -1x
4.Rate of change is 1/4

Which properties to evaluate 7/5 (1/4 divided by 7/4) (-10)

Answers

Answer:

-2

Step-by-step explanation:

1. Cancel the common factor

Kimi brought chocolate and vanilla cupcakes to school for her birthday. 2 students picked a vanilla cupcake and 18 students picked a chocolate cupcake. What percentage of the students picked a vanilla cupcake?

Answers

10% is your answer. Take the total number of students and use that as a divisor of 100 so 100/20 = 5% so each kid represents 5 percent. Then if you take the 2 kids who got vanilla cup cakes and if each one is 5% then 5%+5%= 10%

Answer: 10% of students picked a vanilla cupcake.

Explanation: 18 + 2 = 20. 20 is 100% of 20. 20/10 = 2, and 2 is 10% of 20, therefore 10% of students picked a vanilla cupcake.

PLS HELP IM GONNA FAIL MATH
How long does it takes to walk around a circular pond that has a radius of 48 meters?

Answers

Answer:

This circumference of the pond is 2πr (or 2π48), which equals 301.44m(assumine pi is 3.14). How long it takes to walk around depends on the rate of speed.

What is the speed?? Or does it not matter?

what is 9/14 x 2 1/3!!!!

Answers

The answer is 11
Explaination:
9/14 multiple both numbers by 3=27/42
Break 2 1/3 into 2 and 1/3
1/3 multiple both numbers but 14=14/42
27/42 x 14/42 keep number on the bottom the same
27x14= 378
Divide 378/42=9
Add the 2 from 2 1/3 to the nine
2+9=11
1 1/2 is the answer I’m not sure what else to say but I have to have a limit

I need help plz. You have to write an equation from the graph, you either multiply, divide, add or subtract

Answers

4-3x=1

Hope this helps!! :)
answer is 4-3x=1.
this is the equation

A submersible is a type of underwater vessel. Suppose a submersible starts at a depth of 40 feet below sea level, represented by –40 feet. The table shows the submersible's change in depth from one minute to the next.

1. Write and evaluate a subtraction expression to find the depth of the submersible at 2:16 p.m.




2. Write and evaluate a subtraction expression to find the depth of the submersible at 2:17 p.m.




3. Write and evaluate a subtraction expression to find the depth of the submersible at 2:18 p.m.



4. If the submersible dove straight down, what is the distance between the submersible's starting position at 2:15 and its position at 2:18? Show your work.

Answers

I know that -40 + 40 would equal a pair of 0. Perhaps it would end at at sea level .

Hope it kind of helped <3

give me the right answer please i will give u half of my points i have 320 pleaseee im in a test rn

Answers

y=1/2x-2 that’s a type of answer!
Y=1/2x-2 that’s the answer I think.

a house can be painted in 5 days by ৪ workers. how long will it take for 12 workers to paint the same house

Answers

2 days maybe hope it helps.

Answer: 5 days I think. :)

Step-by-step explanation:

The y axis is _____________
horizontal
vertical
diagona

Answers

Answer:

It is a vertical line.

Step-by-step explanation:

See below attached picture. The purple line represents the y-axis.

Hoped this helped.

[tex]GeniusUser[/tex]

I need assistance with this

Answers

Answer is 1 1/2 and -1 1/5

i need help i will give 19 po.ints

Answers

-5 7/10

How?

13 4/5

8 1/10

you need similar denominators.

13 4/5 x 2 = 13 8/10

13 8/10 + ? = 8 1/10

8 1/10 + 5 7/10 = 13 4/5

(5 7/10 turned negative bc its below sea level and your technically adding.)

MAY BE INCORRECT!

Answer:

5 7/10

Step-by-step explanation:

you would need to subtract 13 4/5 - 8 1/10 t get positive 5 7/10

(i got this right o my test)

RectangleA′B′C′D′ is the image of rectangleABCD after a dilation.

What is the scale factor of the dilation?

Answers

The length of the side of the original is 3 units.

The length of the side of the smaller one is 1.5

Scale = 1/2

The lenth of the side units are 3

plzz help me this is my last chance

Answers

Answer:

C. This is the answer because it doesn't have to be answered.

Answer:

B

Step-by-step explanation:

B is a question that doesn't need an answer, but is used to make the reader think.

can someone tell me what this is


6% OF 56% X 60% X 40%

Answers

Answer:

Step-by-step explanation:

6% of 56 is 10.71

6% of 60 is 10

6% of 15

hopefully this answers your question

6% of 56 is 10.71

6% of 60 is 10

6% of 15

After this, I think you may want to multiply 10.71, 10, and 15. Unless you were trying to separate all the numbers. If you weren't, its 1606.5!

Sails come in many shapes and sizes. The sail on the right is a triangle. Is it a right triangle? Explain your reasoning.

HELP ME PLESE

Answers

Answer:

'tis not a right triangle

'tis a left

Step-by-step explanation:

bottom left has a 90° angle. therefore, it is a left triangle

hope this helped

The answer needs to be simplified. Thank You!!

Answers

Answer:

-0.7333333333

Step-by-step explanation:

1.4 x 2 1/3 =  3.2666667

3.266...  -  4 = . 7333...

So if you need it as a simplified mixed fraction you just have to turn 2.333333… into a fraction that would give you -2 1/3.

The reason for this is if you subtract 2 1/3 and 4 he would get -1.666666… then if you multiply that by 1.4 then you would get -2.33333333…. And then if you want to put that as a fraction you have to leave the negative two alone and turn 0.333333… into a fraction which would respectively be 1/3. Then finally you could add to the -2 and 1/3 together and then he would get your answer which is -2 1/3… hope this helps pal

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:

Two stores opened on the same day. Both stores has 75 customers by the end of the first week. Store A's customers doubled each week for six weeks. Store B's customers increased by 200 each week for six weeks. Which store had more customers at the end of week 5?

A. Store A
B. Store B
C. They had the same amount of customers
D. Not enough information

Answers

Answer:

Store A

Step-by-step explanation:

Week 1 - Store A had 75 and Store B had 75

Week 2 - Store A had 150 and Store B had 275

Week 3 - Store A had 300 and Store B had 475

Week 4 - Store A had 600 and Store B had 675

Week 5 - Store A had 1200 and Store B had 875

A.Store A is the correct answer

Find the slope of the line through each pair of points.
1. (6, −18) and (15, −18)
2. (8, 12) and (0, 16)
3. (−15, 37) and (−15, 2)
4. (1 ,20) and (−5, 30)
5. (4, −36) and (8, −12
6. (11, −23) and (7, −15)
7. (−72, 54) and (−38, 100)
I will give Brainliest and 100 points

Answers

Answer:

1. 0, 2. -1/2, 3.undefined, 4. -5/3, 5. 6, 6. -2, 7. 23/17

Step-by-step explanation:

y2 - y1 / x2 - x1

1. -18 - -18 / 15 - 6 = 0

2. 16 - 12 / 0 - 8 = -4/8 = -1/2

3. 37 - 2 / -15 - -15 is undefined (can't have 0 as denominator)

4. 30 - 20 / -5 - 1 = 10 / -6 = -5/3

5. -36 - -12 / 4 - 8 = -24 / -4 = 6

6. - 23 - -15 / 11 - 7 = -8 / 4 = -2

7. 100 - 54 / -38 - -72 = 46 / 34 = 23/17

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