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

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Related Questions

A different toy store marks down all
of their toys by 25% in January.
How much does a $50 remote
controlled car cost during January's
sale?

Answers

Answer: $ 37.50

Step-by-step explanation:

$50.00 x 25% = 12.50

$50.00 - $12.50 = $37.50

[tex]\sf 6-2x+5+4x[/tex]


Last one! bye!
Thanks!

Answers

[tex]\sf 6-2x+5+4x[/tex]

[tex]\sf \longmapsto - 2x + 4x + 6 + 5[/tex]

[tex]\sf \longmapsto - 2x + 4x + 11[/tex]

[tex]\sf \longmapsto2x + 11[/tex]

yefgfsugsuifdsgsdhgsfjhdgjdhgskhb

Write the prime factorization of 315.

315 =


(TRY TO ANSWER THIS WHILE UR AT IT PLS?

Answers

Answer:

315 = 3^2 × 5^1 × 7^1

Step-by-step explanation:

PLEASE HELP The mean life expectancy of a certain type of light bulb is 860 hours with a standard deviation of 22 hours.

What is the approximate standard deviation of the sampling distribution of the mean for all samples with n = 65?


0.34 h


0.75 h


2.73 h


2.95 h

Answers

0.34 h is my take on the answers

Answer: The correct answer is: 2.73 h.

Step-by-step explanation:

I hope this helps! :)

Me podrian ayudar con estas equaciones de 2º grado pliss?
[tex]x^{2} +2x-15=0[/tex]
[tex]x^{2} -4x- 12=0[/tex]
Thankss

Answers

Step-by-step explanation:

Las ecuaciones dadas son ,

=> x² + 2x -15 = 0

Y necesitamos encontrar la solución de la Ecuación dada.

=> x² + 5x -3x -15 = 0

=> x(x+5) -3(x+15) = 0

=> (x+5)(x-3) = 0

=> x = 3,-5

La segunda ecuación es,

=> x² -4x -12 = 0

=> x² -6x+2x-12=0

=> x(x-6)+2(x-6) = 0

=> (x+2)(x-6) = 0

=> x = 6,-2

Espero eso ayude :)

help ? yes ? no ? maybe ?

Answers

Answer:

They are proportional

Step-by-step explanation:

Proportionality:

They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.

Graphing:

Go to the 2 on the x-axis (horizontal line)

Go up to the 20 on the y-axis (vertical line)

The points to graph are:

(2,20)

(4,30)

(6,40)

(8,50)

I put a pic of what your graph should look like below!

Answer:

To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.

Step-by-step explanation:

pa help po

13.) given that " G " varies directly as " h " and g=64 when h=8 find the variation constant

can you plss answer no.# 13-15

wc in advance po
take note

nonsense answer= report
good answers will get brainlist and I'll follow you and I'll rate you

Answers

It would take 12 men 18 days to complete the job.

1) g ∝ h

g = kh; where k is the constant of variation.

g = 64, h = 8, hence:

64 = 8k

k = 8

g = 8h

2) j ∝ 1/h

j = k/h; where k is the constant of variation.

j = 190, h = 7, hence:

190 = k/7

k = 1330

j = 1330/h

When h = 70:

j = 1330/70

j = 19

3) y represent number of men and x represent the days

y ∝ 1/x

y = k/x

9 = k/24

k = 216

y = 216/x

For 18 days:

y = 216/18 = 12 men

Hence it would take 12 men 18 days to complete the job.

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Noah earns $9.65 per hour. How much will he
earn next week if he works 18 hours?

Answers

Answer:

$1215.90

Step-by-step explanation

You take Noah's pay per hour of $9.65 then multiply it by how many hours he works 18. You then take that and multiply it by 7 for the days of the week.

Which graph is right?

Answers

Answer:The first option is correct

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

3rd option because m is bigger than or equal -2 which means that it is going to be from [-2,infinity[

PLEASE HELP I DONT UNDSRSTANT

Answers

Answer:

  B.  28.5

Step-by-step explanation:

Before you can use the Law of Sines, you need to know the measure of angle C. The sum of angles in a triangle is 180°, so you have ...

  A + B + C = 180°

  C = 180° -A -B = 180° -32° -25° = 123°

The Law of Sines tells you ...

  c/sin(C) = a/sin(A)

  c = sin(C)·a/sin(A) = sin(123°)·18/sin(32°)

  c ≈ 28.5

_____

Additional comment

The law of sines says the ratio of a side length to the sine of the opposite angle is a constant for any given triangle:

  a/sin(A) = b/sin(B) = c/sin(C)

In order to use this relationship, you need to have a side length and its opposite angle. If you're solving for a side length, as here, you need to know the angle opposite that side.

This problem gives you side 'a' and angle A, and it asks for side 'c'. That means you need to know angle C, which we found as part of our solution.

there are 5 crayons 4 pencils and 6 erasers. what is the number of crayons to total school supplies

Answers

Answer:

5 crayons to 15 school supplies

Step-by-step explanation:

since its supplies in general, add 5 crayons, 4 pencils, and 6 erasers to get 15 total

Please help me with this

Answers

Step-by-step explanation:

such an equation is a simple linear function :

y = ax + b

b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.

our job is now to find the correct a and b values.

we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.

132.5 = a×25 + b

145 = a×30 + b

now, we can use a little trick and simply subtract the whole first equation from the second equation.

145 = a×30 + b

- 132.5 = a×25 + b

------------------------------

12.5 = a×5 + 0

5a = 12.5

a = 2.5

with this we go into one of the original equations, e.g. the second one :

145 = 2.5×30 + b = 75 + b

70 = b

so, it full equation is

y = 2.5x + 70

the costs for 85 students are

y = 2.5×85 + 70 = 212.5 + 70 = $282.50

a rule in a relation in which each input is paired with, or assigned to, exactly one output.

Answers

Answer:

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Step-by-step explanation:

i need this answer answered for me asap

Answers

Answer: i think it's A or D

Step-by-step explanation:

Answer:

A) x > -6

Step-by-step explanation:

X is bigger than negative 6 since the arrow of the number line is pointing to the positive numbers then that means x is one of the positive numbers.

I need help with question 5

Answers

Answer:Hi!

where is the question?

       

Step-by-step explanation:

In parallelogram DEFG D=(5x-8) and E=(3x+28). How many degrees is F

Answers

In parallelogram DEFG, angle F measures 92°

A parallelogram is a quadrilateral in which opposite sides are equal and parallel to each other.

In parallelogram DEFG:

∠D + ∠E = 180° (Consecutive angles are supplementary)

(5x - 8) + (3x + 28) = 180

8x + 20 = 180

8x = 160

x = 20°

∠D = 5x - 8 = 5(20) - 8 = 92°

∠D = ∠F = 92° (Opposite angles are congruent)

In parallelogram DEFG, angle F measures 92°

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The angle of F in degrees is 92°

Adjacent angles of a parallelogram are supplementary.

Therefore,

Therefore,

5x - 8 + 3x + 28 = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 160 / 8

x = 20

Angle F is an opposite angle to angle D. Therefore,

∠D = ∠F

5x - 8 = 5(20) - 8 = 100 - 8 = 92°

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r(2)=120 and r(4)=378 divide the difference in the r(x) values by the difference in the x-value

Answers

Answer:

im not sure ask siri

Step-by-step explanation:

she knows everything

Choose which diagram shows the correct markings of the sides and angles of the following congruent triangles.

Answers

Answer:

D IS THE CORRECT ANSWERRR

Step-by-step explanation:

IN DIAGRAM D

G = Q

I = R

H = S

SO, THEY ARE SIMILAR

Halppppppppppppp..............

Answers

Answer:

1 2/3, and -1 2/3

Step-by-step explanation:

Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.

find the length of segment AB

Answers

Answer:

E. 214

Step-by-step explanation:

Since the other angles of the triangle are congruent, and separated creates 2 right triangles, this means that segment (because i cant put the actual names for some reason) A to F and segment F to B are equal

8x - 37 = 5x + 17

3x = 54

x = 18

Now substitute to check

8(18) - 37 = 5(18) + 17

107 = 107

So if this is true, to find the segment A to B, just add segments A to F and F to B together

107 + 107 = 214

The length of segment AB is 214

Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0

Answers

Answer:

a) answer is "a"

b) answer is "-2b"

c) answer is "-c"

d) answer is "3c"

Step-by-step explanation:

Absolute value is positive value of something.

a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.

b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.

c<0 same as a except sign is flipped so answer is negative instead of positive.

c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.

Sorry is explanation wasn't through i'm only in middle school

a. | a | > 0, a is greater than and less than zero.

b. | 2b | if b < 0, b is not less than zero not greater than zero.

c. | c | if c < 0, c is not less than zero not greater than zero.

d.  | 3c | if c ≥ 0, c is greater than zero and less than zero.

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given,

| a | > 0

∴ a is greater than and less than zero.

| 2b | if b < 0

b is not less than zero not greater than zero.

| c | if c < 0

c is not less than zero not greater than zero.

| 3c | if c ≥ 0.

c is greater than zero and less than zero.

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Find the slope of the line that passes through (7,1) and (6,8)

Answers

Answer:

-7

Step-by-step explanation:

[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7

what is the point in the middle of a circle called

Answers

Answer:

Step-by-step explanation:

Center: The center of a circle is defined as the point in the middle of the circle. The points that make up the curve that is the circle are all equidistant from the center point.

Answer:

Center of the circle.

Step-by-step explanation:

The perimeter of a rectangle is 30 inches. If the length of the rectangle is 10 inches, which equation could be used to find the width of the rectangle "w" in inches

Answers

Answer:

30=2(10 x w)

Step-by-step explanation:

P=2(l x w)

Perimeter(P) equals two times length(l) times width(w)

Hope this helps

(Fill in the blank)
If the triangle is equilateral, find the value of x.
(9x - 3)
x = _#
(numerical response only)

Answers

Answer:

x>1/3

Step-by-step explanation:

unless you are missing something else on the question.

equilateral means all sides are the same

so if one side is 9x-3 the other sides should also be 9x-3

9x-3=0

9x=3

x=1/3

a purple paint mixture calls for 4 pints of blue paint for every 3 pints of red. how many pints of blue paint do you need,if you use 6 pints of red?

Answers

Answer:

You will need 8 pints of blue paint!

Step-by-step explanation:

At the first the problem shows us the purple paint mixture needs 4 pints of blue and 3 pints of red if the red has 6 pints which is doubled you should also double the blue paint!   Hope this helps please mark the brainliest it means a lot to me and thanks! <3

Answer:

8 pints

Step-by-step explanation:

The purple paint mixture needs 4 pints of blue and 3 pints of red, and if the red paint has 6 pints that is doubled. You should also double the blue paint.

The explains how the answer is 8

now, this katie girl stop deleting my answer-

right now michael earns an annual salary of $46,023 he is Considering a job offer with an annual salary of $51,145 what is the difference in the monthly pay for these two jobs rounded to the nearest cent

Answers

Answer:  The job pays $32,400 per year, and the agency fee is equal to 45% of one month's pay.

answer the three questions pls

Answers

If you divide the cost by the ounces, that will be the unit rate.
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents

HOW TO COUNT BY 5 AND 10 'S HOW TO COUNT BY 20 AND A WHAT IS 9-4 AND 5-7

Answers

Count by fives like this 5-10-15-20 you increase each number by five like 5+5 is 10 and 5+10 is 15. The second part is probably fractions like 9/4s which is 9 pieces of fourths like a pie

14. Which of the following relations has an inverse that is not a function?
(1,1),(1,2).(3,4)
(1,2).(1,3),(4,3)
(1,4),(4,5),(5,6)
(0,0),(1,1),(2, 2)

Answers

Answer:

(1,2).(1,3),(4,3)

Step-by-step explanation:

The inverse of (1,2).(1,3),(4,3) is (2, 1), (3, 1), (3, 4) and this is not a function as a function is a set X to a set Y, not multiple to one.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The answer is the second option :)
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