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Montano1993 [528]
3 years ago
10

The first stage of a rocket burns 28 seconds longer than the second stage. If the total burning time for both stages is 152 seco

nds then how long does each stage burn? Solve.
Mathematics
1 answer:
maria [59]3 years ago
4 0
The 1st stage: x,  the 2nd stage:  y.
x + y = 152
x = y + 28
y + 28 + y = 152
2 y = 152 - 28
2 y = 124
y = 124 : 2 = 62
x = 62 + 28 = 90
Answer: the first stage burns 90 seconds and the second burns 62 seconds.
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Two students walk in the same direction along a straight path, at a constant speed - one at .90 m/s and the other at 1.90 m/s.a.
anyanavicka [17]

Answer:

a)The second student arrive 7 minutes and 36 seconds sooner

b)They have to walk 598,51 m

Step-by-step explanation:

Speed= Distance/Time

We are looking for time now

Time = Distance/Speed

First student

Time = 780 m/0.90 m/s=866,66 seconds

Second student

Time = 780 m/1.90 m/s=410,52 seconds

Difference=866,66-410,52= 456,14 seconds

In minutes

Difference= 456,14 seconds /60=7 minutes 36 seconds

Distance=Speed x Time

Speed¹ x Time¹ =Speed² x Time²

Time¹= Time² + 5.50 min

5.50 min =350 seconds

Time²  =Speed¹ x Time¹ /Speed²

Time²  =Speed¹ x (Time² + 350 seconds  ) /Speed²

Time²  =0.9 x (Time² + 350 seconds  ) /1.9

Time²  =0,4737 x (Time² + 350 seconds  )

Time²  =0,4737 Time² + 165,79 seconds

Time²  - 0,4737 Time² = 165,79 seconds

0,5263 Time² = 165,79 seconds

Time² = 165,79 seconds/0,5263 =315,01 seconds

Distance=1,9 x 315,01 seconds = 598,51 m

5 0
3 years ago
Eight less than three times a number is -23
Alenkasestr [34]

Answer: 10 is your answer bud ❤

4 0
3 years ago
A number is increased by 35%.<br><br> The result is 324
Natali5045456 [20]

Answer:

x = 323.65

Step-by-step explanation:

A number can be represented through x.

x + 35% = 324

35% means 0.35

x + 0.35 = 324

   - 0.35    - 0.35

x = 323.65

hope this helps!

4 0
3 years ago
To what unit rate does 96/12 simplify?<br><br><br>A.8/1<br><br>B.9/1<br><br>C.10/1<br><br>D.12/1​
Ivahew [28]

Answer:

A

Step-by-step explanation:

96 divide by 12 is 8 and 12 divided by 12 is 1

3 0
3 years ago
Read 2 more answers
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x
matrenka [14]

The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 " ⇒ answer C

Step-by-step explanation:

Let us revise some transformation

A vertical stretching is the stretching of the graph away from the x-axis

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.

  • If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k
  • f k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

A horizontal stretching is the stretching of the graph away from the y-axis

A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.

  • If k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally shrunk (or compressed) by dividing each of its x-coordinates by k.
  • If 0 < k < 1 (a fraction), the graph of y = f(k•x) is the graph of f(x) horizontally stretched by dividing each of its x-coordinates by k
  • If k should be negative, the horizontal stretch or shrink is followed by a reflection across the y-axis.

∵ f(x) = x

∵ g(x) = f(-10x)

- Substitute x by -10x

∴ g(x) = -10x

∵ x is changed to 10x

- x multiplied by a number means shrink or stretch horizontally

∵ k = 10

∵ 10 > 1

∴ The graph of f(x) is shrunk horizontally by a factor of 10

∵ The value of g(x) is negative

- The negative sign of g(x) means reflection across x-axis

∴ The graph of f(x) is reflected about the x-axis

The statement which describes correctly the graph of g(x) is " It is the graph of f(x) reflected about the x-axis and shrunk horizontally by a factor of 10 "

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

5 0
3 years ago
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