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djverab [1.8K]
2 years ago
8

The altitude of Death Valley California is 282 ft below sea level of hot air balloon is launched From The Bottom Of Death Valley

and Rises at a rate of 10 ft per second after 12 seconds balloon Captain lower the balloon 15 ft what is the altitude of a hot air balloon after being lowered
Mathematics
1 answer:
asambeis [7]2 years ago
6 0

Answer:

177 ft below sea level.

Step-by-step explanation:

Initial altitude of the hot air balloon = 282 below sea level

Rate of rise of balloon = 10 ft / second

Time = 12 seconds

Total rise in 12 seconds = Rate of rise of balloon \times Time

\Rightarrow 10 \times 12 = 120 ft

Now, we will have to subtract to find the new altitude.

New altitude = 282 - 120 = 162 ft

Now, it is given that balloon Captain lowers the balloon 15 ft.

To find the final altitude, we will have to add it to the previous altitude.

Therefore, the final altitude = 162 + 15 = <em>177 ft below sea level </em>

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Two number add to 336 and the first is bigger that the second. What are the two numbers?
makvit [3.9K]
336 divided by 2 is 168.

so just change it up. 

the two numbers can be 166+170


7 0
3 years ago
Look at the system of equations below.
Annette [7]

Answer:

Substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen. Therefore, elimination is the suitable method for solving this system.

Step-by-step explanation:

Let us consider the system of equation below.

4x-5y=3

3x+5y=13

Elimination method sounds the most appropriate option to solve the given system of equations as we can easily sort out an equation in one variable x in minimal steps by just adding the both equations as the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation, and we can determine an equation in one variable x.

Adding both equations will eliminate the y-variable and we can easily sort out the value of x from the resulting equation.

As the given system of equation

4x-5y=3......[1]

3x+5y=13......[2]

Adding Equation 1 and Equation 2

4x-5y+3x+5y=3+13

7x=16

x=\frac{16}{7}

Putting x=\frac{16}{7} in Equation [1]

4x-5y=3......[1]

y=\frac{43}{35}

Although substitution or graphing methods can also be used to bring the solution of the given system of equations, but using substitution or graphing method can be sometimes cumbersome or time-consuming as it would have to take some additional steps to solve the system.

For example, if we would have to use the substitution methods to solve the given system of equations, first we would have to solve one of the equations by choosing one of the equation for one of the chosen variables and then putting this back into the other equation, and solve for the other, and then back-solving for the first variable.

As the given system of equation

4x-5y=3......[1]

3x+5y=13......[2]

Solving the equation 2 for x variable

3x=13-5y

x=\frac{13-5y}{3}

Plugging x=\frac{13-5y}{3} in equation [1]

4(\frac{13-5y}{3}) -5y=3

y = \frac{43}{35}

Putting y = \frac{43}{35} in Equation 2

3x+5y=13......[2]

x = \frac{16}{7}

So, you can figure out, we have to make additional steps when we use substitution method to solve this system of equations.

Similarly, using graphing method, it would take a certain time before we identify the solution of the system.

Hence, from all the discussion and analysis we did, we can safely say that substitution and graphing are less efficient methods than elimination for this system as there is extra amount of steps we have to take to solve the same system of equations - hence time consuming and a margin or error may happen.

Therefore, we agree with the student argument that Elimination is the best method for solving this system because the y-coefficient in the first equation is the opposite of the y-coefficient in the second equation.

Keywords: substitution method, system of equations, elimination method

Lear more about elimination method of solving the system of equation from brainly.com/question/12938655

#learnwithBrainly

4 0
3 years ago
The low temperature last month was<br> -5˚F. What is the absolute value of -5?
solong [7]
5

The reason is because |-5| is equal to 5. The absolute value bars make the number positive.
4 0
3 years ago
Which pair of angles shares ray A,F as a common side?
Gennadij [26K]

Answer:

< BAF  <DAF

Step-by-step explanation:

The first angle is < BAF

The second angle is <DAF

The ray A,F has to be in the name of the angle

3 0
3 years ago
Read 2 more answers
Can some one please help me with this??
mart [117]
2.

0.05 miles

3.

a

4.

a

5.

1 Book for ever 10$

6.

28 MPH



Thats it!
Hope this helps
7 0
3 years ago
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