Engineers are digging a 3200-foot-long tunnel at a constant rate. After 5 months, the engineers still need to dig 1700 feet to finish the project. How much time does it take to complete the tunnel from start to finish?

Will the engineers have enough time if the project was started in December 2020 and the deadline to finish the project was in August 2021? Please explain your answer for yes or no.

Hint:
y=mx+b (slope-intercept form)
x=time
y=distance
b=3200
Start & Finish: ??
Total length=3200ft
Left over=1700ft after 5 months of digging

help/

Answers

Answer 1

Answer:

Part A answer: 10 2/3 months

Part B answer: No

Step-by-step explanation:

Using what we gathered from the word problem, and the hint, we know that y = distance, x = time, and b = 3200.

3200 is the total number of ft meant for the hole to be dug. If we've been digging for 5 months, and we have 1700 ft yet to be dug, then after 5 months we have dug (3200 - 1700 =) 1500 ft in 5 months.

-1500 ft/5 months = 300 ft/month

-Digging the final 1700 ft will take 5 2/3 months

^ Using this information, we know that the total number of months it takes to dig the entirety of the tunnel is 10 2/3

In the second part of the problem, we're asked to determine whether or not a deadline of August 2021 was enough time to complete the 10 2/3 month-long project if the digging began in December of 2020.

If said project commenced in December 2020, and the deadline was August 2021, then there would be 1, 2, 3, 4, 5, 6, 7, 8... Roughly 8 1/2 months to complete the tunnel. 10 2/3 months is > (greater than) 8 1/2 months. So, no. That start-to-finish deadline would not be enough time.

Good luck!!


Related Questions

Jim needs to rent a car. A rental company charges $21 per day to rent a car plus $0.80 per mile driven. How many miles can he drive in a day if he wants to spent AT MOST $82. Write an inequality. Show work Or explain how to solve it and then give a solution as an inequality.

Answers

Answer:

Inequality: .80x +21 ≤ 82

Answer: 76.25 miles in total

Step-by-step explanation:

Hi,

An inequality to represent this is .80x +21 ≤ 82

(.80 is the cost per mile and x is the number of miles driven. 21 is the fee that must be paid no matter what and the 82 is the total cost they can pay. We use the ≤ sign to say they can spend less than or equal to 82. The phrase "at most" means we can use the ≤ sign).

Now we solve...

.80x + 21 ≤ 82

Subtract 21 on both sides...

.80x ≤ 61

Now, divide by .80 on both sides...

x ≤ 76.25

He can drive up to 76.25 miles in total

Hope this helps :)

76.25.....................

A town has 35,000 registered voters. A random sample of 2000 voters finds that 400 are in favor of a new dog park. How many are likely to vote for the new dog park?

Answers

Answer:

8750 registered voters

Step-by-step explanation:

Answer:

8750 registered voters

Step-by-step explanation:

Evaluate each expression for the given variable.

(5) 3(x + 4) - x when x = 2
2

(6) 5p + 9 + 2p + 5 when p = 5
2 3

Answers

Step-by-step explanation:

1.) 3(x + 4) - x. when x - 2

3(2 + 4) - 2

3 × 6 - 2

18 - 2 = 16

2.) 5p+9+2p+5. when p - 5

5 × 5 + 9 + 2 × 5 + 5

25 + 9 + 10 + 5

49.

When x=2 the answer is 16
When p=5 the answer is 49
Hood this helps

help plsssssssssssssssssssssssssssssssssssssss

Answers

Answer:

I believe they are not.

Step-by-step explanation:

The reason for this is that in the first algebraic expression there are parentheses which means you must do anything inside the parentheses first. On the other hand, the second expression doesn't have parentheses so you'll end up subtracting 3 from x, also not 100% sure!!

Answer: no answer but I talk too u on here tho

Step-by-step explanation:

It cost Julie $2 for the materials to make a bracelet that she plans to sell. She sells each bracelet for $7. What is her percent increase in price (also known as percent mark up)?

Answers

Answer:

350% Increase

Step-by-step explanation:

If Julie creates a single bracelet for $2, then sells a single bracelet for $7, her profit increase would be 350%. Since $7 / $2 = 3.5, then 3.5 * 100 = 350%. Hope this helped!

The answer is their is a 350% increase.

Find the area of a circle whose circumference is 31.4 centimeters. (Pi form) {FREE BRAINLIEST]

A =
__
cm2

Answers

Answer:

78.46 cm^2

Use area formula

Answer:

78.5 cm²

Step-by-step explanation:

tell me if i got it wrong

Draw a number line and mark all described points. 2x<6

Answers

All you have to do is draw a line on all the posible numbers  that can be x makes sure to draw a arrow at the end of the number line. Either that or draw grapshs a dot on every number less then 3. sorry if its worng :)

Lin set up a lemonade stand. She sells the lemonade for $0.50 per cup.

Write an expression below to represent how much money Lin makes per cup, c.

Answers

Answer:

1 x 0.50

Step-by-step explanation:

This is true, because 1 x 0.50 is 0.50. That is the correct cost for one cup. 2 x .50 would be 1. That is the correct cost for 2 cups, and it would keep going on.

Answer:

1x $0.50

Step-by-step explanation:

The answer is $0.50.

The figure can be composed of different shapes.

What shape can be composed to find the area of the figure? What is the area?
A. square; 140 square inches
B. rectangle; 151.2 square inches
C. square; 151.2 square inches
D. rectangle; 140 square inches

Answers

A is the correct answer

The area of the composed figure will be 140 square inches. Then the correct option is D.

What is the area of the parallelogram?

Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,

Area of the parallelogram = H × W square units

The figure can be composed of different shapes.

The composed figure is a parallelogram. The dimension of the parallelogram is 10 inches high and 14 inches wide base. Then the area of the parallelogram is calculated as,

A = 10 x 14

A = 140 square inches

The area of the composed figure that is a parallelogram will be 140 square inches.

The parallelogram is made from a rectangle. Thus, the correct option is D.

More about the area of the parallelogram link is given below.

https://brainly.com/question/16052466

#SPJ3

i need help with dis math

Answers

I think the answer is inverse

what is the area of the figure in square inches

Answers

Answer:

[tex]78in.^{2}[/tex]

Step-by-step explanation:

Area of 2 parallelograms = 2(bh)

                                          = 2(13 x (6 ÷ 2))

                                          = 2(13 x 3)

                                          = 2 x 39

                                          = [tex]78in.^{2}[/tex]

hope this helps, sorry if it is not right

Mariluz will be spending her vacation at her uncle's house in the mountains. She drove the 582 kilometers from her home to her uncle's house in 6 hours. At what rate did Mariluz complete her trip? (in kilometers per hour)

Answers

Answer:

She drove 97 kilometers per hour.

Step-by-step explanation:

To solve this question is simple.

First you will want to divide 582 by 6.

This will leave you with 97 which is your answer.

97 kilometers p hour

Margery is 3 years younger than 2 times Abby’s age. Margery is 33 years old. How old is Abby?
A. 11
B. 13
C. 15
D. 18

Answers

D. 18

33 + 3 = 36
36 / 2 = 18

Answer:

d.18

Step-by-step explanation:

True or False? A convenience sample is always valid and reliable.

Answers

Answer:

a convenience sample is always valid and reliable  is  true not false

Step-by-step explanation:

Explain or Show Work for how to solve 10 > 2x - 6. Give your solution as an inequality. *

Answers

First you add 6 to both sides which would then leave you with the equation 16<2x, then you divide each side by 2, which will then leave you with 8

Answer:

X < 8

Step-by-step explanation:

I moved the numbers around to -2 >-6 -10

Then found the answer to -2x> -16 which then got me my answer of x < 8

494 L= ___________mL

Answers

Answer:

494000 mL

Step-by-step explanation:

Answer:

494000ml

Step-by-step explanation:

pls help decide what i should type ..

Answers

1.) It snowed like it was the North Pole!

2.) We hit the beach and stayed all day.

3.) I had barrels of fun at the beach!

The grocery store has 2 1/3 times as many cashiers in late afternoon than in the morning. If there are 21 cashiers at 10:00 am, how many would there be at 4:00 pm?

Answers

well 21 times 2 is 42 and 1/3 of 21 is 7 so 42+7 is 49. hope this is right

PLEASE HELP!!!!! AND TAHNK YOU

Answers

Answer:

a= 68% times 250, there are 170 students not in Advanced

Step-by-step explanation:

If 32% are in Adv math, 68% aren't, to solve a percentage, I did

.68 times 250

Glad she/he helped I need some points don’t mind this

A number that is 7 more than 3 times x

Answers

not sure what the question is but 3x + 7 is the algebraic expression that would represent this statement.

Answer:

28

Step-by-step explanation:

7 multiplied by 3

is =28

I. You withdraw $17 from your account.
II. A running back loses 17 yards in a game.
III. The temperature rises 17 degrees



The integer -17 would BEST represent which of these events?

A)I only
B)III only
C)I and II only
D)II and III only

Answers

Answer:

Step-by-step explanation:

Answer:

b

:[] yup this ia s rjkd. skd

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Answers

Y is the very top, X is the other one, origin is labeled (0,0) A is the very first box going from left to right B is the highest box and C is the lowest
I filled out the answers for you

Please help, this is due soon!

Answers

Before outlier : 7.25
After outlier : 4

7.25 - 4 = 3.25

So the mean decreases by 3.25 when the outlier is removed.

Simplify: 26 • -5

Giving brainliest^^

A) 130
B) 21
C) -105
D) -130

Answers

The answer should be D) -130

The answer is D because 26*5 is equal to 130,amd b/c we have - 5 the answer we have should be minus.

Hope you understood

What is the fractional equivalent of 1.37?

Answers

Answer:

137/100

Step-by-step explanation:

1.37 ( to fraction)

divide by 100

137/100

I need some more help....


IGNORE BAKUGOU JUMPING AROUND
That angry little Pomeranian

Answers

Answer:

38 - 7.6(20%) = 30.4

30.4 + 2.128(7%) rounds up to about =$32.53

your answer is B

Step-by-step explanation:

Answer:

the answer is (C)

Step-by-step explanation:

20% - 7% = 13%

38.00 * (13/100) = 38.00 * 0.13 = 4.94 discount

38.00 - 4.94 = $33.06

The length of a rectangle is 3 times its width. If the length were increased by 2 inches and the width by 1 inch, the new perimeter would be 62 inches. What is the width and length of the rectangle? If w represents the width of the rectangle, then which equation could be used to solve for w?
2(4 w + 3) = 62
( w + 1)(3w + 2)=62
2(3 w + 3) = 62

Answers

pretty sure it’s the second option because length would be 3w+2
and width would be w+1 and with area you have to multiply so it would just be the (w+1)(3w+2)

Answer:

     2(4 w + 3) = 62

          width  =7      length = 21

Step-by-step explanation:

For the perimeter you need :

2 times the width     and    2 times the length (length =3w)

so

2(w+1) + 2 (3w+2) =

2w+2 + 6w+4 =

8w +6

you  can factor this by:

2(4w+3)

                      8w +6= 62

                       8W = 56

                      w= 7      l= 21

                    2(7+1)  + 2 (21+2)

                           16 +  46 = 62

Solve for X
3(x-4)=12.

Answers

Answer: x=8

Step-by-step explanation:

3(x-4)=12

Distribute the 3 into the parathesis'

3x-12=12

   +12 +12   on each side

3x=24

Divide by 3 on each side

x=8

8.
EXPLANATION.
because of pemdas. The equation in parenthesis must be first.
Knowing that the answer is 12.
And 1 factor is 3.
Since it is multiplication,
It is 3 x X = 12.
So x must be 4. 8 - 4 is 4.
So 8.

Carlos designs a simulation to represent kicking 5 field goals in a single game with a 72% probability of making each one. A 1 represents making the kick and a 0 represents missing the kick. Carlos uses 25 blocks and labels each one with a 1 or a 0. How many of each block should he use to represent this situation? Explain.
NEED ANSWER ASAP WILL GIVE BRAINLIEST

Answers

eAnswer:

e

Step-by-step explanation:

Dr. Molar is the best dentist in town. 60% of his paitents are female. He has 120 female paitents. How many paitents does he have in all?

Answers

200. 120 is 60% of 200.

Answer:

200 patients

Step-by-step explanation:

120 =60% means that

2=1%

1% x 100 = 100%

2 x 100 = 200

200 total patients

120 Female

80 Male

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