A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.

How many seconds, s, will it take for the balloon to drop to below 215 feet?

Drag and drop a symbol and value to correctly complete the solution to this inequality.

Answers

Answer 1

Answer:

[tex]<174\frac{4}{9}[/tex] hopes this helps :D

Step-by-step explanation:

Answer 2

The solution is s > 174 4/9

The inequality equation is s > 174 4/9 and it will take 174 4/9 seconds for the hot air balloon to reach below 215 feet

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is given by

Let the total altitude of the hot air balloon be = 1000 feet

Now , the hot air to reach below 215 feet , the hot air balloon should descend a total of = 1000 - 215 feet

So , the value of hot air balloon should descend = 785 feet

And ,

The rate at which the hot air balloon descends = 4 1/2 feet per seconds

So , the number of seconds s for the hot air balloon to reach an altitude more than 785 feet is given by the inequality equation A

where ( 4 1/2 ) x s > 785

On simplifying the equation , we get

( 4 1/2 )s > 785

( 9/2 ) s > 785

Multiply by 2 on both sides of the equation , we get

9s > 1570

Divide by 9 on both sides of the equation , we get

s > 174 4/9

Therefore , the value of A is s > 174 4/9

Hence ,

The inequality equation is s > 174 4/9 where s is the number of seconds

To learn more about inequality equation click :

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Related Questions


What is the average rate of change from x = 1 to x = 3?

Answers

Answer:

2

Step-by-step explanation:

Since at x = 1, y = -3, and at x = 3, y = 1

the slope is 2 meaning the average rate of change is 2

The average rate would be 2!

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The answer would be 168 ft tall!

Step by step:

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Since there is 14 floors, we can multiply it by 12.

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Is this graph proportional or non-proportional? How do you know?

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Answer:

It is a proportional graph.

Step-by-step explanation:

By definition, a proportional graph is a graph which goes through the origin (O), in this picture the graph appears to indeed go through the origin, and is thus proportional.

A box of pens and rubbers is divided equally into two bags.
In the first bag, the ratio of pens to rubbers is 3:5.
The second bag, the ratio of pens to rubbers is 1:2.
What is the ratio of pens to rubbers before the pile was divided into two bags?​

Answers

Answer:

my answer is 3:5

Step-by-step explanation:

sana makatulong yan

PLEASE HELP!! Which ordered pair corresponds to point A?
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Answers

Answer:

D) (1,2)

Step-by-step explanation:

This is because point A is identified as (1,2), giving it's plotted point

In ΔABC and ΔPQR it is given that ∠A=∠R , ∠C=∠P , ∠B = ∠Q. then which of the following holds true ? *
1 point
(a)∆BCA ≅ ∆PQR
(b) ∆ABC ≅ ∆PQR
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Answer:

c. CBA = PQR

Step-by-step explanation:

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Answers

Answer:

I think the error in Cynthia's answer is when she multiplied

Step-by-step explanation:

-2x(x^2 - 3) here

It should be = -2x^2 + 4x^2 - 2

[tex]\bf 5x-6=3x-8[/tex]

Answers

x = -1

I’d explain but it’s long to type up and i cba bothering lol
Subtract 3x from 5x you get 2x the Add 6 to -8 which is -2 then divide 2 by -2 and get X=-1

Find the perimeter. Simplify your answer.

Answers

Answer:

[tex]18x+32[/tex]

Step-by-step explanation:

Perimeter is the total distance around a shape and can be found by calculating the sum of a shape's sides.

In this case, we are given a parallelogram, a quadrilateral with two pairs of parallel sides. Thus, the formula for a parallelogram's perimeter is as follows:

[tex]P=2(a+b)[/tex]

Substitute the variables in the formula for the expressions on the parallel lines:

[tex]a=3x+6[/tex]

[tex]b=6x+10[/tex]

[tex]P=2(3x+6+6x+10)[/tex]

Distribute the 2 into each term:

[tex]P=6x+12+12x+20[/tex]

[tex]P=18x+32[/tex]

Answer:

18x + 32

Step-by-step explanation:

Perimeter = 3x + 6 + 6x + 10 + 6x + 10 + 3x + 6

= 18x + 32...ans

Hope it Helps you!!

Quick i need your help !

Answers

Answer: 30

Step-by-step explanation:

Answer:

30 po brainliest answer po ty

If there are 357 chairs in 7 rows,
how many chairs are in each row

Answers

Answer:

51

Step-by-step explanation:

357 ÷ 7 = 51 just divide

Answer:

51

Step-by-step explanation:

if we divide 357 by 7, we should have 51. meaning 357 chair divided in 7 rows, is 51 chairs per row.

PLEASE TELL ME A STORY I WANT AN IDEA ON WHAT TO WRITE NOT JUST A SIMPLE ANSWER LIKE I GAVE A HOMELESS MAN MONEY Describe a time when you solved a problem. What actions did you take, and what impact did you make?​​

Answers

Answer:

Write about like something that happened at school that involved you and others.

Step-by-step explanation:

Hope this helps!

You can write about a story that happened with others around you?? Or an story that happened to you once??

find the scale figure from A to B.
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Answers

Answer:

The scale factor is 4/3 or 1.333...

Step-by-step explanation:

We're trying to find how can A go to B

Example: 16 --> 12

16 Divided by 12 = 4/3

[tex]\frac{16}{1}[/tex]÷[tex]\frac{12}{1} = \frac{16}{1} * \frac{1}{12} = \frac{16}{12} = \frac{4}{3}[/tex]

This will work with other numbers too.

I need the answer to this question, I’ll give you brainliest and 50 points!

Answers

Answer:

Student 1

Step-by-step explanation:

Student one attempts to divide both sides by -2, however only divides one term by -2, instead of all the terms

help plz brainlest for first

Answers

Answer:

Refer to the attachment

What is the value of
this expression? [2x(3x5)+6]x4

Answers

Answer:

144

Step-by-step explanation:

(2*(3*5)+6)*4:

First, we simplify the 3*5.

(2*(15)+6)*4

Next, we multiply by 2.

(30+6)*4

We add the six now.

36*4

Finally, we multiply.

144

Question
The value of a computer y, depreciates, or decreases as time passes. A computer was purchased for $3200 in 2018. In
2020 the computer was worth $2000. Assume the relationship between number of years after 2018 x, and value of
computer, y is linear.

Answers

The value of the computer decreases by $800 per year.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).

Let y represent the cost of the computer and x represent the years after 2018.

A computer was purchased for $3200 in 2018. It is represented by the point (0, 3200). Also, in  2020 the computer was worth $2000, it is represented by the point (2, 2000). Hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3200=\frac{2000-3200}{2-0}(x-0)\\\\y-3200=-800x\\\\y=-800x+3200[/tex]

Therefore the value of the computer decreases by $800 per year.

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A linear relationship will always decrease or increase at a constant and uniform rate.

The linear equation is [tex]\mathbf{y = -600x +3200}[/tex]The estimated value in 2022 is $800The estimated value in 2024 is -$400, and it does not make sense

Part 1

(a) The linear equation

In 2018, the value is $3200

In 2020, the value is $2000

Let the number of years since 2018 be x, and the value be y

So, we have the following representation

[tex]\mathbf{(x,y) = (0,3200) (2,2000)}[/tex]

Start by calculating the slope (m)

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

So, we have:

[tex]\mathbf{m = \frac{2000 - 3200}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{- 1200}{2}}[/tex]

Divide

[tex]\mathbf{m = - 600}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x -x_1) +y_1}[/tex]

So, we have:

[tex]\mathbf{y = -600(x -0) +3200}[/tex]

[tex]\mathbf{y = -600x +3200}[/tex]

Hence, the linear equation is [tex]\mathbf{y = -600x +3200}[/tex]

(b) The estimated value in 2022

In 2022, x = 4

So, we substitute 4 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 4 +3200}[/tex]

[tex]\mathbf{y = 800}[/tex]

Hence, the value in 2022 is $800

Part 2

The estimated value in 2024

In 2024, x = 6

So, we substitute 6 for x in the linear equation

[tex]\mathbf{y = -600x +3200}[/tex]

[tex]\mathbf{y = -600 \times 6 +3200}[/tex]

[tex]\mathbf{y = -400}[/tex]

Hence, the value in 2024 is -$400

This value does not make sense, because the value cannot be negative

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Answers

The question mark is 1.75


Step by step:

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Turtle: 0.5

Lobster: 0

Whale: 1

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2)14
3)-14
4)-26

Answers

Answer:

I think -1(20+16)= -1(36)= -36

Answer:

-36

Step-by-step explanation:

-20 - 16

=> -36.

Unfortunately, there is no option of -36. Please include -36 in one of the options.

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Answers

Answer:

y = -4x + 4

Step-by-step explanation:

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b is always y intercept which is when the line crosses through the y axis while the x coordinate is at 0. that would make it 4. now we find another point which would be (-1,8)

use change in y/change in x

we already have 2 points

(0,4)

(-1,8)

change in x: -1

change in y: 4

4/-1

slope: -4

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Answers

[tex]\\ \sf\longmapsto sin10°-cos10°[/tex]

[tex]\\ \sf\longmapsto sin(90-10°)-cos10°[/tex]

sin(90-A)=cosA

[tex]\\ \sf\longmapsto cos10-cos10[/tex]

[tex]\\ \sf\longmapsto 0[/tex]

Find:x , if |x |=6; |x |=3.2; |x |=0
* like x= ...

Answers

Answer:

|x|=6 we have x1=-6 x2=6

|x|=3.2 we have x1=-3.2 x2=3.2

|x|=0 x=0

If the 10 musical acts for the winter show are randomly selected, what is the probability that
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Answers

Answer:1001

Step-by-step explanation:

Convert -450° from degrees to radians. (5 points)
negative five pi divided by two
negative five pi divided by four
five pi divided by two
negative five pi

Answers

negative five pi divided by two

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refer to attachment

Answers

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

What is the equation of the line? Identify the values of A, B, and C in the

standard form of the equation.

The equation of line is

____

Answers

Answer: B

Step-by-step explanation:

Brainiest please '

Can someone please help? I’m in a rush and my brain can’t process things well right now.

Answers

Answer:

50km/h

Step-by-step explanation:

195km/3.9h

= 50km/h

Answer:

the answer is 50km/h

Step-by-step explanation:

I need #2 done ASAP (Must show work) Will give brainliest

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Answer:

Using the Vertical Angle Theorem,

if two angles are vertical, then they are congruent

therefore, ∡4=∡5 and ∡6=∡7

since ∡4≅∡7

then ∡5 must also be ≅ to ∡6

Step-by-step explanation:

Step-by-step explanation:

Statement                                        Reason                        

∠4 ≅ ∠7                                           Given

∠4 and ∠5 are vertical angles        Vertical angles theorem

∠6 and ∠7 are vertical angles        Vertical angles theorem

∠4 ≅ ∠5 and ∠ 6≅ ∠7                     Definition of vertical angles

∠5 ≅ ∠6                                           Substitution property of equality

A circle with a circumference of 6 has an arc with 20 central angle

Answers

Answer: 0.3 units

Step-by-step explanation: The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

what is the largest factor that can be identified in the fraction 102/150

A. 6

B. 7

C. 11​

Answers

the correct answer is A.6
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