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A special machine is used at a construction site to dig holes. A hole is dug to a depth of 4.75 feet when the machine hits rock. The progress slows to 3/5 feet per hour of digging. The depth of the hole must be at least 12 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the machine must continue at its present rate to complete the hole on schedule? Select from the drop-down menus to correctly complete the statement.

HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLS A Special Machine Is Used At A Construction Site
HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLS A Special Machine Is Used At A Construction Site

Answers

Answer 1

Answer: 12 h ; 45 m

Step-by-step explanation:

*Important: From what I can see in this image, this appears to be a test. If this is the case, please do not cheat. In any case, here is the explanation.

What we know:

Progress has been made to 4.75Rate of digging is 3/5 mphDepth must be at least 12 1/2We need to find the minimum amount of time the machine works

How to solve:

By setting up an algebraic equation, we can solve this.

Process:

Set up equation                            4.75 + 3/5x = 12 1/2Convert                                          19/4 + 3/5x = 12 1/2

                                                                95/20 + 12/20x = 250/20

Subtract                                           -95/20                 -95/20

                                                                               12/20x= 155/20

Isolate x via division                                       /(12/20) /(12/20)+Simplify                                                          

                                                                                         x= 12 11/20

Convert                                                                    12 h 33 m

Solution: 12 ; 45

Answer 2

The minimum amount of time taken by the machine will be 12 hours and 55 minutes.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

An exceptional machine is utilized at a building site to dig openings. An opening is dug to a profundity of 4.75 feet when the machine hits the rock. The advancement eases back to 3/5 feet each hour of digging. The profundity of the opening should be no less than 12 ¹/₂ feet before the day's over to remain on time.

Convert the mixed fraction number into a decimal number.

12 ¹/₂ feet = 12.5 feet

Let 'x' be the time. Then the equation is given as,

(3/5)x = 12.5 - 4.75

Simplify the equation, then we have

(3/5)x = 12.5 - 4.75

(3/5)x = 7.75

x = 12.9167

x = 12 + 0.9167 x 60

x = 12 hours and 55 minutes

The base measure of time taken by the machine will be 12 hours and 55 minutes.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2


Related Questions

Abby is painting two cubes for an art project.
Cube 1: side length = 3 feet
Cube 2: side length = 2 feet
The surface area of a cube is 6s2, where s is the length of one side.
Find the total surface area that Abby will paint.
1. Find the surface area of cube 1. Show your work, and include units with your answer.
2. Find the surface area of cube 2. Show your work, and include units with your answer.
3. What is the total area Abby will paint?

Answers

Answer:

54 sq ft, 24 sq ft, 78 sq ft

Step-by-step explanation:

1. Each side of cube 1 is 3 feet x 3 feet, so each side has an area of 9 square feet. Multiply by 6 sides and the area is 54 square feet.

2. Each side is 2 feet x 2 feet so the area of one side is 4 square feet. Multiply by 6 sides and the area is 24 square feet.

3. 54 + 24 = 78 square feet

6 I am most definitely wrong

I need help quickly please have clear explanation and answer written in brainly

Answers

Answer:

ii

Step-by-step explanation:

i

2 = 3

2 x 11 = 22
22 - 19 = 3

3 = 14

3 x 11 = 33
33 - 19 = 14

6 = 47

6 x 11 = 66
66 - 19 = 47

10 = 91

10 x 11 = 110
110 - 19 = 91

what is 1+1-1
its a test and its impossible to solve

Answers

Answer:

1

Step-by-step explanation:

lol its 1 cool question

Which point on the number line represents Negative three-fourths?

A number line going from negative 2 to positive 1 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 0. Point D is 1 mark to the left of 1.
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

It is 1/4 more than -1, so it is -3/4

I am not sure but I think The answer is B

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. What was the temperature:
1 hour ago?
3 hours ago?
Half an hour ago?

Answers

Answer:

For one hour ago, it would be 3 C, 3 hours ago, it would be 9 C, and half an hour ago, it would be 1.5 C.

Step-by-step explanation: It's quite straightforward. Since the temperature is dropping, and you want to find the temp. of earlier times, just add 3C to every hour (1.5 for a half) it was ago, to what the temperature currently is now. (0 C).

1 hour is 3 Celsius, 3 hours is 9, and half an hour is 1.5 :D

PLS WILL MARK BRAINLIEST

Solve the equation for all values of x by completing the square.
x^2 + 6x – 27 = 0

Answers

Answer:

Solution

=3

=−9

x=3

x=−9

x=3x=−9

Step-by-step explanation:

Boom

Answer:

x=-9 and 3

Step-by-step explanation:

FOIL method

x^2+6x-27=0

Find the common numbers that multiply to 27 that will also equal 6.

(27x6) or (9x3)

the 6 is positive while 27 is negative so you need to use a + and - in the parenthesis.

then FOIL them

(x+9)(x-3)

FIRST:  x*x=x^2

OUTSIDE: x*-3=-3x

INNER: 9*x=9x

LAST: +9*-3=-27

x^2(-3x9x)-27

x^2+6x-27

now that the equation matches you solve for x.

(x+9)=0  x=-9

(x-3)=0   x=3

can some one pls help asap

Answers

Answer: See the diagram below

==========================================================

Explanation:

She starts off finding the mean of the data. So she adds up the values to get 48+54+57+62+69 = 290, and then divides by 5 to get the mean of 290/5 = 58. That explains why there's a 58 in the first row of the second column.

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

For the next step, she subtracts 58 from each data item. If the result is negative, then go with the positive version (ie apply the absolute value)

|48-58| = 10|54-58| = 4|57-58| = 1|62-58| = 4|69-58| = 11

This leads to the list 10,4,1,4,11 which goes in the first slot labeled "drag and drop an item here". This is the list of distance values each item is from the mean.

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

The last thing to do is find the mean of the set {10,4,1,4,11}

add: 10+4+1+4+11 = 30

divide by five: 30/5 = 6

The mean absolute deviation (MAD) is 6

This represents the average distance each data value is from the mean.  The MAD tells us how spread out the data is. It's similar to the standard deviation.

David and Denise share n (total) pears in the ratio of 4:9.
a) how many pears does Denise have in terms of n=13?
b) If n=39, how many pears does Denise have? How many pears does David have?

Answers

Answer:

3???

Step-by-step explanation:

I don't know I divided I think its wrong i just need points

Does the following relationship represent a function?

Answers

Answer:

No. It represents the coordinate plane. it does not represent a function.

Step-by-step explanation:

hope this helped.

No it doesn’t because the coordinate plane doesn’t represent a function.

What is the y-intercept of a line that has a Slope of 3 and passes through point (-1, -7)

Answers;
A. -10
B. -4
C. 3
D. 7

Answers

Answer:

B)-4

Step-by-step explanation:

y=mx+c

sub in a point and gradient/slope to get c

-7=3(-1)+c

-7=-3+c

-7+3=c

c=-4

y=3x-4

if u looking for the y intercept make x=0

y=3(0)-4

y=-4

C is the answer because of the fact that they are doing a lot

What is the absolute value? What symbol represents absolute value?

Answers

Answer:

Absolute value is the distance the number away is from 0. In simpler terms, if you had a -8 the absolute value is 8. I attached a picture of the absolute value symbols. The absolute value of a normal positive 8 is still 8 though because it's the same distance on a number line.

The most common way to represent the absolute value of a number or expression is to surround it with the absolute value symbol: two vertical straight lines. |6| = 6 means “the absolute value of 6 is 6.” |–6| = 6 means “the absolute value of –6 is 6.” |–2 – x| means “the absolute value of the expression –2 minus x

The approximate radius, r, of a circle with an area, A, is r=0.32^1/2.

Find the approximate radius of a circle with an area of 16 cm2.

Answers

Answer:

radius (r)= 2.25

Step-by-step explanation:

area (A)=16cm^2

A = πr^2

16= (22/7)r^2

(16*7)/22=r^2

√5.09= r

r=2.25

The following table shows the number of visitors to Yellowstone National Park from 2000 to 2006.
What was the percent of change in the number of tourists between 2000 and 2001?

Answers

Answer:

About 90% of visitors at the Yellowstone National Park was changed from 2000 to 2001.

Step-by-step explanation:

Answer:

5,596,759

Step-by-step explanation:

The the answer is five million, five hundred ninety-six thousand, seven hundred fifty-nine

12 - 4 / 2x5 or 18 -4 / 2 x 5

Answers

Step-by-step explanation:

the answer is 1,4 or 0,8 question answer

12 - 4 / 2x5 is 2
1
2

1

4
2

5
12

1

4
2
x
5
12−1⋅24​x5
1
2

1

2

5

A pine tree grows about 18 inches per year. After how many years will the tree be 90 inches tall? [Type your answer as a number.]

Answers

Answer: Your answer is 5.

Step-by-step explanation: I hope my answer will help you.

Answer:

5

Step-by-step explanation:

90/18 = 5 years

I shall give the right answer brainliest

Answers

Answer:

I would say that the answer is 1 × 10^1.

Step-by-step explanation:

Hope this helps. If I get it wrong I'm sorry. :S

Answer:

C

Step-by-step explanation:

C:7,000 x 10^1 = 70,000

B:7,000 x 1.1 = 7,700

D:7,000 x 10^-1 = 700

A:7,000 x 63,000 = 441,000,000

On a coordinate grid, point L is at (-4, 4) and point S is at (8, 4). The distance (in units) between points L and S is ___.

Input whole numbers, such as 2.

(numerical numbers as expected!)

Answers

Answer:

(12,0)

Step-by-step explanation:

count up from -4 to 8, then the other coordinate is the same so it will stay

PLSS HELPPP WITH MATH

Answers

Answer: B sorry if im wrong

Step-by-step explanation:

Answer:

i can't see it its blurry can you can tell me the Questing

I would appreciate this a lot if someone could help me with this.

Answers

Answer:

Question no. 2 answer is A 100percent confrom

The ratio of pineapple juice to sparkling water that Sylvia and her
friends used to make punch last week was 3 : 2. They used 4 quarts of
water last week. This week, Sylvia and her friends want to make three
times as much punch.
PART A
Is the relationship between the amount
of pineapple juice and the amount of
sparkling water proportional? Explain.
PART B
How much pineapple juice do Sylvia and
her friends need for this week’s punch?
18 quarts
12 quarts
6 quarts
3 quarts

Answers

Pineapple:Sparkling water

              3:2

A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.

B: 3 times as much punch, basically multiply by 3

3(3):2(3)

9:6 pineapple:water

2 (water) = 4 quarts  1=2 quarts

9(2)=18

B: 18 quarts

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 explain and i will give brainly

Answers

ANSWER:192in

EXPLANATION:
Given diameter= 16in
So, radius= 16/2= 8in

Area=pi x r^2 (pi=3)
= 3x8^2
= 3x64
= 192

Can i get the brainliest please

Answer:

24 in.

Step-by-step explanation:

Because the radius would be half of the diameter, it would be 16/2 which is 8.

To find the area, you do pi times radius, so: 3*64=24.

The area would be 24in.

Connor has sold 15 cups of lemonade at his stand and will sell 5 more cups per hours. Which equation is right?

1. y=10x+5
2. y=15x+5
3. y=5x+15
4.y=20x

Answers

3. y=5x+15 is correct
x is the number of hours and since he’s selling 5 per hour it’s 5x. Plus the 15 he has already sold.
3. y=5x+15 is the correct answer

Lol, I have no idea what to do

Answers

ANSWER:
a) 60 tickets
b) 15 tickets per class
c) 40 adult tickets
d) $240
e} i) $60 ii) 12 adult tickets
STEP BY STEP EXPLANATION WITH ANSWERS BELOW:
(i explained what to do for it to help you in the future when you need to do questions like these again)

Simplify
10(–6x+–10)+–10x

Answers

Answer:

-70x - 100

Step-by-step explanation:

After you apply distributive property: -60x+-100+-10x

Combine like terms: -70x - 100

Hope it helped!

Answer: -70x-100

Step-by-step explanation:

10(–6x+–10)+–10x

-60x+-100+-10x

HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLS

Aeris reads the temperature of a liquid in a lab experiment. The temperature of the liquid is 7.2ºF. After 5 hours, she reads the temperature of the liquid again. The temperature of the liquid is now −1.6°F. Aeris plots the points on a number line to determine the temperature change between these two readings. How much did the temperature decrease? Enter your answer as a decimal in the box.

Answers

Answer: 8.8 (-8.8'F)

Step-by-step explanation:

What we know:

Temperature started as 7.2Temperature ended as -1.6We need to find the difference

How to solve:

By doing simple subtraction, we can solve this.

Process:

Write equation                                                   7.2 - (-1.6) = ?Simplify                                                               7.2 + 1.6 = ?Solve                                                                                 = 8.8

Solution: 8.8 (-8.8'F)

*Note: The temperature decreased by 8.8'F, but it increased/changed by -8.8'F. Be careful of wording.

What would be the equation of the horizontal line passing thought the point (3, -5)
PLEASE HURRY!!!

Answers

the x axis line because a horizontal line is on the x axis

the equation for the horizontal line that passes through the point (3, -5) is y=-5

what is this solid figure?

Answers

Answer:

Cylinder

Step-by-step explanation:

STEP ONE:

Identify base. It is a circle.

STEP TWO:

Identify the top of the figure. If it is the same as the lower base, then it is a cylinder.

So, this shape is a cylinder.

please and thank you

Answers

I think it’s C sorry if it’s wrong

Answer:

The answer is B

Step-by-step explanation:

You can turn them into improper fractions

so

[tex]10 \frac{1}{2} = \frac{21}{2} [/tex]

[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]

when we divide we invert the second fraction

[tex] \frac{21}{2} \div \frac{9}{4} = \frac{21}{2} \times \frac{4}{9} [/tex]

now we can multiply as usual

[tex] \frac{21}{2} \times \frac{4}{9} = \frac{84}{18} [/tex]

[tex] \frac{84}{18} = \frac{14}{3} = 4 \frac{2}{3} [/tex]

What is the average dance time per week for Suzette relative to her goal number of hours?
Relative to Suzette's goal, her average dance time over the last five weeks is ____ hours.

Answers

Answer:

-0.07

Step-by-step explanation:

(im not 100% sure so if u gte it wrong im sorry)

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