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guajiro [1.7K]
3 years ago
10

A hot air balloon is traveling at a altitude of 2400 feet. It begins to descend at a rate of 75 per minute. What is an expressio

n that represents the rate of descent for the hot air balloon
Mathematics
1 answer:
irina1246 [14]3 years ago
7 0

Answer:

y=-75x+2400

Step-by-step explanation:

y is the height

-75 is the rate of change so you put that before your x

2400 is your starting value/y intercept

not very good explanation but hope this helps

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Translate this verbal expression into an algebraic equation and solve: thirteen less than twice the sum of a number and six is 4
Vesna [10]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the verbal expression

''Thirteen less than twice the sum of a number and six is 47''.

Let us break down the verbal expression into an algebraic equation

  • Let the number be = n
  • Twice the number n = 2n
  • Sum of twice the number and six = 2n+6
  • Thirteen less than twice the sum of a number and six = 2n+6-13

And finally

Thirteen less than twice the sum of a number and six is 47:

2n+6-13 = 47

Therefore, the equation is:2n+6-13 = 47

Solving the algebraic expression

solving the equation for 'n'

2n+6-13 = 47

2n-7=47

Add 7 to both sides

2n-7+7=47+7

Simplify

2n=54

Divide both sides by 2

\frac{2n}{2}=\frac{54}{2}

Simplify

n=27

7 0
3 years ago
One month Tammy rented 2 movies and 6 video games for a total of $ 42 . The next month she rented 5 movies and 3 video games for
EastWind [94]

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

One month, Tammy rented 2 movies and 6 video games for a total of $42. This means that:

2m + 6v = 42 ________ (1)

The next month she rented 5 movies and 3 video games for a total of $30. This means that:

5m + 3v = 30 _________(2)

We now have two simultaneous equations:

2m + 6v = 42 ________ (1)

5m + 3v = 30 _________(2)

Multiply (2) by 2, and we have:

2m + 6v = 42 __________ (1)

10m + 6v = 60 _________ (3)

Subtract (1) from (3):

 10m + 6v = 60

-<u> 2m + 6v = 42</u>

 <u>  8m     =     18</u>

=> m = 18 / 8

m = $2.25

Put the value of m back in (1):

2(2.25) + 6v = 42

4.5 + 6v = 42

=> 6v = 42 - 4.5 = 37.5

v = 37.5 / 6

v = $6.25

Therefore, the rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

5 0
3 years ago
How many solutions will the following system of linear equations have? –2x + 4y = –7 y= -1/2x + 5 A. 0 B. 1 C. 2 D. infinite
FinnZ [79.3K]

Answer:

B. 1

Step-by-step explanation:

they only cross at one point... look below

7 0
3 years ago
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7.) A plane was flying at an altitude of 35,000 feet. It descended 6,000 feet to avoid some
worty [1.4K]
35,000 ft - 6,000 ft = 29,000 ft
4 0
2 years ago
At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 1
daser333 [38]
The temperature must rise 5 degrees to reach the original temperature
6 0
3 years ago
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