A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 33 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 ​seconds? At that​ time, which elevator is​ deeper?

Answers

Answer 1

Answer:

The position of the equipment elevator is 180 feet deep

The position of the miner's elevator is 156 feet deep

The equipment elevator is deeper.

Step-by-step explanation:

From the question,

For the equipment elevator

Velocity (v) = 4 feet/second

and for the miner's elevator,

Velocity (v) = 13 feet/second

To determine the position of each elevator, the position can be related to the distance covered.

From

Velocity = Distance / Time

Distance = Velocity × Time

Now, from the question,

The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.

Now, for the equipment elevator

Velocity = 4 feet/second

Time = (33 + 12 seconds) = 45 seconds

From

Distance = Velocity × Time

Distance = 4 × 45

Distance = 180 feet

The position of the equipment elevator is 180 feet deep

For the miner's elevator,

Velocity = 13 feet/second

Time = 12 seconds

Also, from

Distance = Velocity × Time

Distance = 13 × 12

Distance = 156 feet

The position of the miner's elevator is 156 feet deep

Hence, the equipment elevator is deeper.


Related Questions

The first and last buttons are 15 inches apart when measured from the top of the first button to the top of the last button. What is the distance, in inches, between the top two buttons on his shirt, from the top of one to the top of the other? (there are 5 buttons btw)

Answers

It should be 3 inches, but I am not sure what the length is of each button if i should subtract it or not.. otherwise it should be 3!!

Please help with this, it's due today and I don't really understand it.

Answers

Answer:

Check description

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.

what does i2x + 3(x - 5) = 20 equal

Answers

Answer:

x=7

Step-by-step explanation:

2x+3(x-5)=20

2x+3x-15=20

5x-15=20

5x=35

x=7

Answer:

x = 5

Step-by-step explanation:

2x + 3(x - 5) = 20

simplify

5x - 5 = 20

get the variable and the number on different sides

5x - 5 + 5 = 5x

20 + 5 = 25

5x = 25

now divide each side by 5

5x / 5 = x

25 / 5 = 5

x = 5

- 6n - 16 = 20 what does n =?

Answers

Answer: the answer is -6

use symbolab

Why can’t i be normal and understand math chileee

Answers

girl same i hate math

What is the length of segment BC?

Answers

The length is 10 because this is a right triangle and based on the pythagorean theorem, the sum of the squares of the legs equals the square of the longest side.

6 squared plus 8 squared is 100, which is 10 squared.

The answer is 10.

Answer:

C. 10

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c²

a² can be found by multiplying 6 by 6, which is 36

b² can be found by multiplying 8 by 8, which is 64

36 + 64 = 100.

The square root of 100 is 10, you can double-check this because 10 x 10 = 100

Because of this, we know that the line segment BC is equal to 10

I hope this helps :)

which equals ( V20 - 13) (120 + V3)?

Answers

Answer:

17

thats the answer

Luis and Raul are riding their bicycles to the beach from their respective homes. Luis proposes that they leave their respective homes at the same time and plan to arrive at the beach at the same time. The diagram shows​ Luis's position at two points during his ride to the beach. Write an equation in​ slope-intercept form to represent​ Luis's ride from his house to the beach. If Raul lives 5 miles closer to the beach than​ Luis, at what speed must Raul ride for the plan to​ work?


If x represents the time in hours since the ride began and y represents the remaining distance from the​ beach, then the equation

_____



represents​ Luis's ride from his house to the beach.

Answers

Answer:

equation: y=-7.5x+15 and Raul must ride at a speed of 5 mi/hr

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex] to find out the slope. [tex]\frac{6-11.25}{1.2-0.5}[/tex]=[tex]\frac{-5.25}{0.7} = -7.5[/tex]

Then you fill x and y to find out the y intercept

[tex]11.25=-7.5*0.5+b[/tex]

[tex]11.25=-3.75+b\\11.25+3.75=15\\[/tex]

Y intercept= 15

then you put it in the equation:

y=-7.5x+15

Since Raul lives 5 miles closer and Luis is 5 miles away, he needs to go at 5 miles an hour to get to the spot.

That is 5 miles/hour

The distance and time, as presented in this question are illustrations of linear equations.

The linear equation is: [tex]y = -7.5x + 15[/tex]He must plan to ride at 4.5 miles per hour, if he lives 5 miles closer

From the diagram, we have:

[tex](x_1,y_1) = (0.5,11.25)[/tex]

[tex](x_2,y_2) = (1.2,6)[/tex]

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{6 - 11.25}{1.2 - 0.5}[/tex]

[tex]m = \frac{-5.25}{0.7}[/tex]

[tex]m = -7.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -7.5(x - 0.5) + 11.25[/tex]

[tex]y = -7.5x + 3.75 + 11.25[/tex]

[tex]y = -7.5x + 15[/tex]

Calculate distance, when [tex]x = 5[/tex]

We have:

[tex]y = -7.5 \times 5 + 15[/tex]

[tex]y = -22.5[/tex]

The speed (s) is then calculated as:

[tex]s = \frac{22.5}{5}[/tex]

[tex]s = 4.5[/tex]

Hence, he must plan to ride at 4.5 miles per hour

Read more about linear equations at:

https://brainly.com/question/11897796

For the arithmetic sequence 13,9,5,1... determine t8?

Answers

Answer:

34

Step-by-step explanation:

Express each rate as a unit rate.$8 for 2 pounds of rice

Answers

Answer:

$4 for 1 pound of rice

Step-by-step explanation:

8 ÷ 2 = 4

2 ÷ 2 = 1

Hope this helps!

solve v = 5/f-8 for f​

Answers

f = -3/v
if there’s a certain way you had to solve then it might be wrong but if not then

If g(n) = n +2, find g(1)

Answers

Answer:

3

Step-by-step explanation:

because n=1 and you plug it in you get 3

Given the two functions below, tell me what type of graphs they are and
how p(x) differs from g(x)

p(x)=8x^2
g(x) = x^2

Answers

Answer:

Step-by-step explanation:

p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8)  on the y axis and rises steeply to the right.

g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).

and opens upwards either side of the y-axis. This type of curve is called a parabola.

HELP ME HELP ME please !!! 10 points

Answers

Answer:

The slope is [tex]\frac{3}{2}[/tex]

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ [tex]m=\frac{15-12}{4-2}=\frac{3}{2}[/tex]

∴ m = [tex]\frac{3}{2}[/tex]

∴ The slope is [tex]\frac{3}{2}[/tex]

→ Substitute its value in the form of the equation above

∴ y = [tex]\frac{3}{2}[/tex] x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = [tex]\frac{3}{2}[/tex] (2) + b

∴ 12 = 3 + b

→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

The y-intercept is 9

7y+8y can be simplified to 15y
True or false

Answers

Answer:

true because you combine like terms

Answer:

True.

Step-by-step explanation:

The two terms share the same variable (as well as the same amount of that variable), that being y. Combine the coefficients:

7y + 8y = (7 + 8)y = 15y

~

A gear rotates 8 times every 15 seconds. based on the information which of the following is wrong

Answers

D is wrong (making it the correct choice)! In order for D to be correct, it would say “the gear rotates 24 times in 45 seconds. Hope this helped!

Water is flowing from Tower #1 to Tower #2 in the diagram below at a rate of 20 gallons per minute. Initially, Tower #1 contained 1650 gallons and Tower #2 contained 570 gallons. (a) How many gallons does each tower contain after 5 minutes? Show your work. (b) Let m be the number of minutes it takes for the two towers to contain the same number of gallons. Set up and solve an equation for m. PLEASE HELP

Answers

Answer:

Tower 1=1550 gal after 5 min

Tower2=470 gal after 5 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

After 5 minutes, the amount of water that has flowed is ...

(20 gal/min)(5 min) = 100 gal

That amount has flowed out of Tower #1, so it now has ...

1650 -100 = 1550 . . . gallons in Tower #1

That amount has flowed into Tower #2, so it now has ...

570 +100 = 670 . . . gallons in Tower #2

Y=-1/5x+12
What is the y-intercept?
What is the slope?

Answers

Answer:

The slope is -1/5 and the y intercept is 12

Step-by-step explanation:

Y=-1/5x+12

This is in the form

y=mx+b where m is the slope and b is the y intercept

The slope is -1/5 and the y intercept is 12

Answer:

-1/5 = slope

12 = y-intercept

Step-by-step explanation:

y = mx + b

m is always equal to the slope

b is equal to the y-intercept

which makes -1/5 the slope

and makes 12 the y-intercept

10/3 divided by 2/3 show work pls

Answers

Answer: 1/5

Step-by-step explanation:

10. 3

3. 2

Three divided by three is one

Ten divided by two is five

Answer:

5

Step-by-step explanation:

10/3 divided by 2/3

Using the rule of dividing fractions, you flip one side and multiple.

10/3 multiplied by 3/2

Think: Can you simplify from across?

10 and 2, 3 and 3 can simplify from across

5/1  multiplied by 1/1 = 5

If you have any questions I would be glad to help.

Estimate. 5. 8% of 40

Answers

i would say the answer is 2.32
I don’t know which is your question but here
8% of 40 is 3.2
Estimate it : 3

5.8% of 40 is 2.32
Estimate it : 2

SAT Prep) In the figure, what is the value of x? A. 30° B. 50° C. 15° D. 20°

Answers

Answer:

D. 20°      Can I get brainliest please :)

Step-by-step explanation:

You can see their is a 90° angle, and angles across from each other are equal so them together is 180° and you know the whole thing is 360° so you can do

360°-180°=180°

then you have the x's we still know that angles opposite each other are the same so if we add all those angles together we get

x+x+2x+30°+2x+30°

simplify it

6x+60°

then we know what we have left is 180° so we do numbers to numbers

180°-60°=120°

now we have

6x=120°

simplify it

x=20°

The value of x is 20°. Option b is correct.

Value of angle x is to be determine.

What is angle?

it can be defined as the measure of one line tilt over other line.


Here, the sum of angle is 180°
x+90+2x+30=180
3x =180-120
3x =   60
 x = 20

Thus, the value of x is 20°.

Get more information about angles here:
https://brainly.com/question/13954458

#SPJ2



It’s asking me to solve for z...Can someone please explain how I can workout this problem?

Answers

Answer:

12°

Step-by-step explanation:

Step 1:

7z + 6° = 90°        Def. of Right Angle

Step 2:

7z = 84°       Subtract 6° on both sides

Step 3:

z = 84° ÷ 7      Divide

Answer:

z = 12°

Hope This Helps :)

which is the value of the expresson?​

Answers

The solution to your problem is 8 (:

square root of x²-2x+1=100 wkwkwkw

i already have an answer but i need other answers too so i can check whether mine is wrong or not.. ​

Answers

x ^ 2–2x + 1

by splitting this equation

x ^ 2 - x -x + 1

there are a two terms x ^ 2 - x and - x + 1

we take x is common from first and -1 is common from second

x ( x - 1 ) and -1 ( x-1 )

the quadratic roots are (x-1) and (x-1)

x - 1 = 0

x = 1 in both

Therefore , the quadratic roots are 1 , 1 .

An 8-ounce bottle of glue costs $1.92. What is the unit price

Answers

Answer:

$0.27 for 1 ounce

Step-by-step explanation:

Hope this helps!!!

1 pts
Question 2
data allowed
Aaron's cell phone plan includes 3GB of data. On the 21st day of his billing period, Aaron received a message from his service provider that he already used 80% of
for the 31-day period. At this rate, when wil he need to pay for additional data?

Answers

Answer:

He need to On the 26th day of his billing

Step-by-step explanation:

Given:

Amount of data = 3 gb

80% data used in 21 days

Find:

Number of days for additional data

Computation:

Total number of days = 21(100/80)

Total number of days = 26.25 days

He need to On the 26th day of his billing

The product of a scaler and vector produces a vector with the direction opposite of the original vector what must be true?

Answers

Answer:

Scalar is negative

Step-by-step explanation:

Solve 5ax + 3ax = 4ax + 12 for x. Assume a ≠ 0.

Answers

Answer:

c. 3/a

Step-by-step explanation:

5ax + 3ax = 4xa+ 12, combine like terms

8ax = 4ax + 12, minus 4ax on both sides

4ax = 12, divide 4a on both sides

youll be left with x = 3/a

How do you solve this?

Answers

Answer:

145

Step-by-step explanation:

180-137=43

43+102=145

Answer The answer is 145 because, as you see you need a 180 degree angle, so you have 137 and you need to make those two angles 180 so 180-137=43 so then you got 43+102 so that's 145 then you have that other angle so that'll be 35, so the ? mark will be 145 since that 180-35

Step-by-step explanation:

Solve the equation algebraically |x|=12

Answers

Answer:

x = 12

Step-by-step explanation:

Absolute value is the distance between the number and 0. Since distance cannot be negative, the absolute value of something is always going to be positive. In this equation | x | = 12 since 12 is already a postive number and the distance between 12 and 0 is 12, this means that x is equal to 12.

Hope This Helps :)

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