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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

2
Which of the following representations are functions?



I only

II only

I and II only

I, II, and III

Answers

Answer:

I only                                                                

Step-by-step explanaition:

The domain (x) can not repeat in order for it to be a function.

l only

i did this last week

Select the expressions that are equivalent to 9d+4d.

Answers

The answer is
d • 13
7d + 2d + 4d
13d

Answer:

The first one, second one, and the last one. not the third one because 9d+3d=12d not 13d

Step-by-step explanation:

50 Points!

Two cars are traveling down the highway at the same speed. If the first car increases its speed by 10 kilometers per hour, and the second car decreases its speed by 10 kilometers per hour, then the first car will travel the same distance in two hours that the second car travels in three hours. What is the original speed of the cars?

Answers

Answer:

50mph

Step-by-step explanation:

Say for example car A increases by 10 miles per hour and car B decreases by 10 miles per hour. If car A2 = car B3 then by eliminating a few numbers and finally get to 50 you get the following equation.

A = 50+10

b = 50-10

A = 60

B = 40

A2 = 120

B3 = 120

120 = 120

Answer

50 mph

Step-by-step explanation:

3(s-10)=2(s+10)

3s-30=2s+20

s=50

What is the distance between the points? Round to the nearest tenth if necessary.

Answers

Answer:

10/4

Step-by-step explanation:

rise over run

10/4 hope this helped <3

i neeed help. this is due today

Answers

Answer:

I’d say letter A

Answer:

I think is D

Step-by-step explanation:

Because that part explains the most what will happen

How to calculate distance between two points (-3,2) and (3,0).
And pls find the radical

Answers


√74
Explanation:
To calculate the distance use the
distance formula
d=√(x2−x1)^2+(y2−y1)^2

−−−2
where
(x1,y1)and (x2,y2)
are 2 coordinate points
The 2 points here are (-3 ,7) and (4 ,2)
let(x1,y1)=(−3,7) and (x2,y2)=
(4,2)⇒d=√(4−(−3))2+(2−7)2=√49+25=√74←in radical form
I think it’s y=3x-9?

What is the distance between the points? Round to the nearest tenth if necessary.

Answers

Answer:

Im pretty sure its 11.6

Step-by-step explanation:

The answer is 1.7 rounded to the nearest tenth

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

help me and i will mark you the brainlyist

Answers

1a. n ≤ 21
1b. n ≥ 5
1c. n > 3/5

2d. n < 14
2e. n ≥ 14
The answer is what the guy above said

i shall give the right answer brainliest

Answers

Answer:

D i think

Step-by-step explanation:

Answer:

I belive it is 4 to the power of 7

Step-by-step explanation:

What is the least common denominator of the four fractions listed below? (50 points!)​

Answers

Answer:

100

Step-by-step explanation:

100^^cccffggggdfhhggfffft

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

which does not represent two equivalent expressions 51 MAFS.6.EE.1.1 Which does not represent two equivalent expressions?

A.) 33=3·3·3
B.) 43=4·3
C.) 64=6·6·6·6
D.) 52=5·5

Answers

Answer: B

Explanation: 4 times 3 is equivalent to 12 and the question was asking for exponents. A has 3 multiplied by itself 3 times so that is correct. C has 6 multiplying itself 4 times so that would be correct. D has 5 Multiplying itself 2 times so that would be correct. The only one that does not represent equivalency would be B.

Which of the following does not have 90 as a multiple?

7
6
5
3

Answers

Answer:

7

Step-by-step explanation:

I don't completely understand what you were asking, but if you were counting by 7's, 91 would be after 84 instead of just 90.

Answer:

7

Step-by-step explanation:

7x14=91, so 1 is not a multiple of 90. Don't really understand tho, plz comment if this is not what you meant.

BE READY, GAME SHOW
Hii, (game show to help me with this question, be ready pumpkins!)

GAME SHOW!!!! HELP ME OUT!

Which equation can be used to solve the problem?

750 is 150 percent of what?


WINNER=BRAINLIEST AND MOVES ON THE THE SECOND ROUND GOOD LUCK FIRST TO ANSWER

Answers

Answer:

750/150 * 750/x

Step-by-step explanation:

Answer:

One equation that can be used is this: 7.50 * 150 =

The other equation is 750% of 150.

Hope this helps!

I have too much brainliest so the other one can have it.

plz help for 100 points what I need help with is in the pictures

Answers

I can’t see the picture

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

PLS HELP IM GONNA FAIL MATH
How long is the fence around a circular field with a radius of 340 ft.?

Answers

Answer:

so you are trying to find the circumference and the formula is 2πr

so the answer is 2 × 3.142 × 340 ft = 2136.56 ft

I think that's the answer

The answer would be 2 x 3.14 x 340ft = 2021.60

A tortoise moves at a speed of 26 inches in 9 seconds. What is its average speed in feet per hour?
≈ 780 ft/h
≈ 867 ft/h
≈ 855 ft/h
≈ 936 ft/h

Answers

Answer:

867 ft/h

Step-by-step explanation:

26 inches = 2.17 feet

9 seconds = 0.15 of a minute = 0.0025 of an hour

2.17 / 0.0025 = 867

867 ft/h
EXPLANATION
26 in=2.17ft
9 sec = 0.0025 hr
2.17/0.0025 = 867

What is the y-intercept y = -6x - 5


1. (0, -5)


2. (5, 0)


3. (0, 5)


4. (-5, 0)

Answers

Answer:

(0,-5)

Step-by-step explanation:

Hope this helps :)

Hello. The y-intercept is (0,-5).

Which expression is equivalent to the expression below?

15 + 10x - 14x - 9

Answers

Answer:

The last expression 9.

Step-by-step explanation:

hope this helps! let me know if I am wrong

10 Points + brainliest.
7a + 50 = 247

Answers

Answer:

a = 28.14 (Estimated)

Step-by-step explanation:

7a + 50 = 247

=> 7a = 197

=> a = 28.1428571429 (Using Calculator)

=> a = 28.14 (Estimated)

Hoped this helped.

Answer:

a= 190

Step-by-step explanation:

7a+50=247

=7a = 247-50

= a = 197-7

= a = 190

Pls help this is due tmr

Answers

A hop it helps! If not am sleeyr

Answer:

D

I need to write 20 characters ignore this

Please help me!!! ASAP!

Answers

B. For every 3 rabbits there are 8 total animals.

Answer:

the answer is b

3 and 8 times two equals 6 and 16

Graph the solution to this inequality on the number line. −1/3x + 1/2 ≥ −3/4

Answers

Answer:

4.5 (4.5 units to the left of 0) Make sure to draw a solid dot over 4.5 and an arrow pointing in the right direction.

>= is the greater than or equal to symbol

Step-by-step explanation

1. Combine like terms- In this problem, the like terms are 1/2 and -3/4, so to move 1/2 over to the other side of the equation, we have to divide each side by 2/1, which is the same as multiplying each side by 2: -1/3x + 1/2 * 2 >= -3/4 * 2.

2. Separate the fraction from x- Now, we simply divide each side by -3/1, which is the same as multiplying each side as -3: -1/3x * -3 >= -3/2 * -3

3. Graph on the number line- We've found that x = 4.5. To check, substitute in 4.5 for the value of x: -1/3(4.5) + 1/2 >= -3/4. -1 >= -3/4 is a true inequality. To graph it on the number line, draw a solid dot over 4.5 and an arrow in the direction of the righthand side.

I shall give the right answer brainliest

Answers

Answer:

D

Step-by-step explanation:

Remember, 0.78 is pronounced 78 hundreths. Use that as a clue to find the awnser

Answer:

39 over 50 is correct

Step-by-step explanation:

A student has a container with a volume of 2.5 liters.
He estimates the volume to be 2.4 liters. By what percent is the​ student's estimate​ off?

Answers

Answer:

10%

Step-by-step explanation:

2.5-2.4=0.1

0.1=10%

The answer is 10% I hope it’s right

solve 2 (3x - 1) - 6

give an explanation pls

Answers

Answer: 6x - 8

Step 1: Distribute [ Multiply 2 by the numbers in the parentheses]
6x - 2 - 6

Step 2 : Subtract [ Like terms ]
6x - 8

Answer:2(3x-4)

Step-by-step explanation:

Step 1: Distribute

2(3x-1)-6

6x-2-6

Step 2: Subtract

6x-2-6

6x-8

Step 3: Common Factor

Factor by grouping

2(3x-1)-6

2(3x-4)

include a step by step explanation pls ty

Answers

the division problem is 7 divided by 15. this can be written as 7/15. to do this, you first know that 15 doesn't go into 7, so you add a decimal point, and make the 7 70. 15 goes into 70 4 times. 15 times 4 is 60. 70-60 is 10. 15 doesn't go into 10, so you add another 0 and bring it down. 15 goes into 100 6 times. 15 times 6 is 90. 100-90 is 10. 15 doesn't go into 10, so you bring down another 0. 15 goes into 100 6 times. 15 times 6 is 90. 100-90 is 10. at this point, you can probably guess that the 6 will go on for a while. this means it is repeating. this means your answer is "a".

I need assistance with this

Answers

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