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Rufina [12.5K]
3 years ago
7

It takes a plane 3.5 hours to fly 2,345 miles and 2 hours to fly 860 miles

Mathematics
2 answers:
Rudik [331]3 years ago
8 0

Answer:

a) 670mph

b) 430mph

c) s+w=670 and s-w=430, use the substitution method

d) 2s=1100

w=550-430

s=550 mph

w=120 mph

e)120 mph

f)550 mph

Step-by-step explanation:

Hope this helps! The other User deserves all the Thanks, ratings and brainliest

Ilya [14]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

a. How fast does the plane fly during the first leg of the trip?

  • 2345/3.5 = 670 mph

b. How fast does the plane fly during the last leg of the trip?

  • 860/2 = 430 mph

c. What system of equations might be helpful in this scenario?

<u>s - speed of the plane, w - speed of the wind, equations:</u>

  • s + w = 670
  • s - w = 430

d. Solve this system of equations using the best method.

Add the equation together to get:

  • 2s = 1100 ⇒ s = 550 mph
  • w = 550 - 430 = 120 mph

e. How fast is the wind?

  • 120 mph as solved above

f. How fast does the plane fly without any wind?

  • 550 mph as solved above
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Answer:

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Step-by-step explanation:

Simplifying

4x2 + -24x + -45 = 0

Reorder the terms:

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Solving

-45 + -24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-3 + -2x)(15 + -2x) = 0

 

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

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Combine like terms: 0 + 3 = 3

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Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

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Combine like terms: 0 + -15 = -15

-2x = -15

Divide each side by '-2'.

x = 7.5

Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}

7 0
2 years ago
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