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lilavasa [31]
3 years ago
5

Two numbers total 44. The first is one less than twice the second. What are the two numbers?

Mathematics
2 answers:
valentinak56 [21]3 years ago
3 0

Answer:

15 and 29

Step-by-step explanation:

Let the larger number = x

then the smaller number= 2x-1 because first is one less than twice the second

if the total is 44 then add the 2 numbers together to form an equation

x+2x-1=44

3x-1=44

3x=45

x=15

2x-1= 2(15)-1= 30-1= 29

ad-work [718]3 years ago
3 0

15 and 29

n+2n-1=44

3n-1=44

3n=45

n=15

2x-1= 2(15)-1= 30-1= 29

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A pilot can fly 2100 miles with the wind in the same time she can fly 1890 miles against the wind. If the speed of the wind is 2
Anna007 [38]

Answer:

475 mph

Step-by-step explanation:

Distance = rate × time

time = distance / rate

If x is the speed of the plane in still air:

2100 / (x + 25) = 1890 / (x − 25)

Cross multiply:

2100 (x − 25) = 1890 (x + 25)

Distribute and solve:

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3 years ago
Previous
PilotLPTM [1.2K]

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7 0
3 years ago
Solve by completing the square
Sveta_85 [38]

\qquad\qquad\huge\underline{{\sf Answer}}☂

Let's solve ~

\qquad \sf  \dashrightarrow \:  {x}^{2} + 8x = 33

\qquad \sf  \dashrightarrow \:  {x}^{2} + 8x +16 = 33 + 16

\qquad \sf  \dashrightarrow \: (x + 4) {}^{2}  = 49

\qquad \sf  \dashrightarrow \: x + 4 =  \sqrt{49}

\qquad \sf  \dashrightarrow \: x + 4 =  \pm7

Hence, there are two solutions ~

  • 1. when x + 4 = 7

\qquad \sf  \dashrightarrow \: x + 4 = 7

\qquad \sf  \dashrightarrow \: x = 7 - 4

\qquad \sf  \dashrightarrow \: x = 3

  • 2. when x + 4 = -7

\qquad \sf  \dashrightarrow \: x + 4 =  - 7

\qquad \sf  \dashrightarrow \: x  =  - 7 - 4

\qquad \sf  \dashrightarrow \: x  =   - 11

I hope you understood ~

8 0
2 years ago
The length of a rectangle is twice it’s width. If the area of the rectangle is 72ft ^2, find it’s perimeter
alisha [4.7K]

Hi!

length = l = 2 * width = 2 * w

Area = l * w = l * 2 * l = 2 * l^2

2 * l^2 = 72

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Hope this helps!

7 0
3 years ago
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