A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 77 feet per second. The elevator for the miners descends 1313 feet per second. One​ day, the equipment elevator begins to descend. After 2929 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 1616 ​seconds? At that​ time, which elevator is​ deeper?

Answers

Answer 1

Answer:

The position of the equipment elevator is 315 feet deep.

The position of the elevator of the miners is 208 feet deep.

At that time, the equipment elevator is deeper.

Step-by-step explanation:

Observation: Seems the numbers are doubled. 77 instead of 7; 1313 instead of 13; 2929 instead of 29; and 1616 instead of 16.

Hence, the question is:

A gold mine has two​ elevators, one for equipment and another for the miners. The equipment elevator descends 7 feet per second. The elevator for the miners descends 13 feet per second. One​ day, the equipment elevator begins to descend. After 29 ​seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 16 ​seconds? At that​ time, which elevator is​ deeper?

Step-by-step explanation:

From the question,

For the equipment elevator

Speed= 7 feet/second

For the elevator of the miners,

Speed= 13 feet/second

To determine the positions of each elevator relative to the surface, we will determine the distance each of the elevator descends.

From the formula

Speed= Distance / Time

Then,

Distance = Speed × Time

From the question,

The equipment elevator begins to descend and after 29 ​seconds, the elevator for the miners begins to descend. To determine the position of each elevator after another 16 ​seconds. That is, the equipment elevator descends for a total of (29+16) seconds and the elevator of the miners descends for 16 seconds.

For the equipment elevator

Speed= 7 feet/second

Time = 29 + 16 seconds = 45 seconds

From,  Distance = Speed × Time

∴ Distance = 7 feet/second × 45 seconds

Distance = 315 feet

Hence, the position of the equipment elevator is 315 feet deep.

For the elevator of the miners

Speed = 13 feet/second

Time = 16 seconds

Distance = Speed × Time

∴ Distance = 13 feet/second × 16 seconds

Distance = 208 feet

Hence, the position of the elevator of the miners is 208 feet deep.

At that time the equipment elevator is deeper.


Related Questions

What is the answer to a+2/2 in two step equation?

Answers

Answer:

No its not be smartfjfkdnxnfnfn

The length of a rectangle is twice the width. The area of the rectangle is 80 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square? Estimate the length and width of the rectangle.

Answers

Answer:

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

Step-by-step explanation:

The length of a rectangle is twice the width. The area of the rectangle is 80 square units.

The area of the rectangle = Length × Width

Length = 2W

80 square units = 2W × W

80 = 2W²

W² = 80/2

W² = 40

W = √40

Width of the rectangle = 6.3245553203 units

Approximately = 6.325 units

Length = 2 × Width

= 2 × 6.325

= 12.65 units

• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square?

We you divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 12.65 units

12.65 units ÷ 2 = 6.325 units.

Hence, the side length of the square the 6.325 units.

A toy rocket is launched vertically upward from a 12 foot platform with an
initial velocity of 128 feet per second. Its height h, at time t seconds after
launch is given by the equation h(t) = -16t^2 + 128t +12 . How long will it
take the rocket to reach the ground?

Answers

Answer:

4 mins

Step-by-step explanation:

The time taken by the rocket to reach the ground is 8 seconds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The toy rocket is launched from a platform

The height of the platform = 12 feet

The initial velocity of the rocket = 128 feet / second

Let the height of the launch be = h

Let the time taken by the rocket be = t

The height after the launch after t seconds is given by the equation

h ( t ) = -16t² + 128t + 12

Now , for the rocket to reach the ground , the equation will be

h ( t ) = -16t² + 128t

Since , it is launched from the 12 foot platform , the equation will be

h ( t ) = -16t² + 128t

The height of the rocket on reaching the ground h ( t ) = 0

Substituting the value of h ( t ) in the equation , we get

h ( t ) = -16t² + 128t

0 = -16t² + 128t

16t² - 128t = 0

16t ( t - 8 ) = 0

t - 8 = 0

Adding 8 on both sides , we get

t = 8 seconds

Hence , the time taken by the rocket to reach the ground is 8 seconds

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I’ll give brainliest I need help

Answers

Answer:

1, -1, -3, 3

Step-by-step explanation:

f(x) = 2x-1

f(1)=2*1-1 = 2-1 = 1

f(0) = 2*0 - 1 = -1

f(-1) = 2* -1 -1 = -2-1 = -3

f(2) = 2 * 2 -1 = 4-1 =3

(b) Factorise fully.
10x²+6x

Answers

Answer:

2x(5x + 3)

Step-by-step explanation:

Factor out common factors. Note that both terms have x inside it. Therefore, you will factor out one x from each term.

Note the factors of both 10 & 6:

10: 1 , 2 , 5, 10

6: 1 , 2 , 3, 6

Note that the greatest factor shared is 2. Divide 2 and x out from both terms:

(10x² + 6x)/2x = 5x + 3

2x(5x + 3) is your answer.

~

determine 3,000,000,000 is how may times the value of 15,000,000 in standard form and scientific notation.

Answers

Answer:

200 times and 2x10^2

Step-by-step explanation:

I hope this helps ( ps love the Killua Profile pic !)

Maggie has been exercising by climbing steps. Her climbing rate at the end of week 1 was 25 steps per minute. At the end of week 4, Maggie's rate was 60 steps per minute. What is the percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4?

Answers

Answer: 60%

Step-by-step explanation:

Given: Climbing rate at the end of week 1 = 25 steps per minute.

Climbing rate at the end of week 4 =   60 steps per minute

The  percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 will be :

[tex]\dfrac{\text{Climbing rate after week 4 - Climbing rate after of week 1}}{\text{Climbing rate after week 1}}\times100[/tex]

[tex]=\dfrac{40-25}{25}\times100\\\\=\dfrac{15}{25}\times100=15\times4=60\%[/tex]

Hence, the percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 = 60%

Given the following function, find f(-4), f(0), and f(4).
f(x) = x + 2

f(-4)=
f(0) =
f(4)=

Answers

Answer:

-2, 2, 6

Step-by-step explanation:

f(-4)= -4+2=-2

f(0)=0+2=2

f(4)=4+2=6

Substitute x for the number in parentheses

The values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function f(x) = x + 2

To find the value of f(-4):

Plug x = -4 in the function:

f(-4) = -4 + 2 = -2

To find the value of f(0):

Plug x = 0 in the function:

f(0) = 0 + 2 = 2

To find the value of f(4):

Plug x = 4 in the function:

f(4) = 4 + 2 = 6

Thus, the values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.

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15 - 5k ≥ 0
solve the inequality

Answers

Start by adding 15 to both sides
15 + 15 will cancel out
15 + 0 = 15
After you are left with just 5k and 15
Divided 5 on both sides of the inequality
5k/5 ( this will cancel out)
15/5 = 3
Bring down the k & inequality sign

Final Answer :

The solution is, the value of the inequality is, 3  ≥ k.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

15 - 5k ≥ 0

now, we get,

Start by adding 15 to both sides

15 + 15 will cancel out

15 + 0 = 15

After you are left with just 5k and 15

Divided 5 on both sides of the inequality

5k/5 ( this will cancel out)

15/5 = 3

Bring down the k & inequality sign

3 - k  ≥ 0

adding k on both side,

3  ≥ k

Final Answer : 3  ≥ k

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Kerry made fruit punch for the party. She made 62 quarts of fruit punch. She divided the punch into 8 containers equally. How much punch did each container hold?

Answers

Answer:

7 quarts of punch

Step-by-step explanation:

62/8 is 7.75,

perform the operation (9x^2+7x-6)-(3x^2-8x+7)

Answers

Answer:

6x^2 + 15x - 13

Step-by-step explanation:

Combine Like Terms

9x^2 - 3x^2 = 6x^2

7x - (-8x) = 15x

-6 - 7 = 13

Write Equation

6x^2 + 15x - 13

A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish.

Answers

Answer:

The tanks by volume per fish from least to greatest:

Tank C, Tank A, Tank B

Step-by-step explanation:

A pet store has three fish tanks, each holding a different volume of water and a different number of fish.

Order the tanks by volume per fish from least to greatest.

Tank A holds 40 L and 5 fish.

= 40L/5 fishes

= 8 volume per fish

Tank B holds 100 L and 12 fish

= 100L/12 fishes

= 8.3333333333 volume per fish

Tank C holds 180 L and 23 fish.

= 180L /23 fish

= 7.8260869565 volume per fish

The tanks by volume per fish from least to greatest

Tank C, Tank A, Tank B

Help! I already tried -6.6/20

Answers

Answer: 0.33 or 1.32 or 6.6%

Step-by-step explanation:

Find three consecutive even integers such that the sum of twice the smallest and 4 times the largest is 304.

Answers

Answer:

gdgdgdgdgddggddggdgddggd

Step-by-step explanation:

a- b for
for a= (-7) and b = 30

Answers

Answer:

-37

Step-by-step explanation:

-7-30

=-37

You are adding the negatives therefore, you will get a larger number of negatives.

Answer = -37

you would have to plug the numbers given.

“A” would now be (-7) “B” would now be (30) = (-7)-30 = -37

reason it equals a negative is because a positive & a negative = a negative

HELP ME ASAP PLEASE AHHHH

Answers

Answer:

A

Step-by-step explanation:

Answer:

-7.5

Step-by-step explanation:

Whole numbers are natural numbers from 0 to infinity. This does not include decimals or fractions. For example, these numbers are 0, 1, 2, 3, 4...

Integers are whole numbers, but they include negative numbers. So, from negative infinity to positive infinity. This does not include decimals or fractions. For example, these numbers are ... -3, -2, -1, 0, 1, 2, 3 ...

A rational number is any number that can be expressed as a fraction. So, this includes -7.5, as -7.5 can be expressed as -[tex]\frac{15}{2}[/tex].

Therefore the answer is -7.5.

please answers soon and answer correctly.

Answers

C .....Hope I helped .

Elsa is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 43 feet and its width is 36 feet. Suppose each can of wood stain covers 172 square feet. How many cans will she need to cover the court?

Answers

To find the area multiply length times width.
43 times 36 is 1548
Take 1548 divide by 172 to get the answer.
1548/172 equals 9

Answer:

Step-by-step explanation:

find the area which is length divided by width then divide by 172 which is what each can covers. So, 43x36 =1548 and 1548/172 equals 9. So 9 is the answer

a car uses 57 liters of gasoline for every 644 kilometers traveled. it takes 8 hours to use all the gasoline in the tank. what is the average speed of the car during the trip?

Answers

Answer:

80.5 kilometers/h

Step-by-step explanation:

S=80.5km/h

D644

T8 hours

The average speed of the car during the trip given the gasoline used per kilometer is 80.50 km/h.

What is the average speed?

Average speed is the total distance travelled per time. It is used to determine the total distance per time.

Average speed = total distance / total time

644 / 8 = 80.50 km/h.

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T-shirts cost $4.50 each and shorts cost $6.You have enough money to buy exactly 12 t-shirts and 9 pairs of shorts

How much are you going to spend on shorts?

Answers

Answer:

$54

Step-by-step explanation:

I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?

Answers

Answer:

your numnber is 15

Step-by-step explanation:

3x-3=n

nx=90

nx=90

(3x-3)x=90

3x^2-3x=90

x=6

3x-3=n

3(6)-3=n

18-3=n

15=n

A________is a_________ in which a figure is enlarged or reduced

Answers

Answer:

Center of Dilation

Step-by-step explanation:

in a dilation, the fixed point about which the figure is enlarged or reduced

Soren is flying a kite on the beach the String forms a 45 angle with the ground if he has let our 16 made of line how high above the ground is the kite

Answers

Answer:

Hope the picture helps

Step-by-step explanation:

What is the reciprocal of 6 1/5

Answers

Answer:

0.16129032258   or maybe just 0.161

Step-by-step explanation:

Jill converted the equation of the line 15x-4y=-2 into slope-intercept form and found the slope and y-intercept of the line
as follows.

What was her Mistake?
She Mixed Up the slope and the y-intercept.

She got the sign of the slope wrong.

She git the sign of the y-intercept wrong.

She found reciprocals of the slope and the y-intercept.

ASAP Please Right Answer

Answers

Answer:

She got the sign of the slope wrong

Step-by-step explanation:

She did [tex]\frac{-4y}{-4} = \frac{-2-15x}{-4}[/tex] and turned that into [tex]\frac{-2}{-4}-\frac{-15x}{-4}[/tex], which is wrong, because she did the negative twice. Therefore, she mixed up the sign of the slope.

Please mark brainliest if this helped you!

Answer:

she got the sign of slope wrong

Step-by-step explanation:

took test on edg

help plzzz get brainlyest!!!!!!

Answers

Answer:

Plan C

Step-by-step explanation:

sorry if i'm wrong

There are 200 students in the 7th grade class. 98% of the students in the grade are going on the field trip . How many students are going on the field trip? Please show your work :)

Answers

Answer:

196 students are going on the field trip

Step-by-step explanation:

Y = 98% * 200

Converting percent to decimal:

p = 98%/100 = 0.98

Y = 0.98 * 200

Y = 196

I hope this helps

Express 48 as a product of its primes.

Answers

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

^^^

find the slope of the line

Answers

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

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

Step-by-step explanation:

Step 1: Define points

(-2, 2)

(0, 6)

Step 2: Find slope

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{6-2}{0-(-2)}[/tex]

[tex]m=\frac{4}{0+2}[/tex]

[tex]m=\frac{4}{2}[/tex]

[tex]m=2[/tex]

solve b
3b / 7-1 = 5

Answers

Answer:

b= 2 over 7

Step-by-step explanation:

exact form b= 2 over 7

decimal form b= 0.285714

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