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Drupady [299]
3 years ago
14

142/80 into mixed number

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0
80 goes into 142 once, so one is our whole number. there are still 62 / 80 left, so we reduce this fraction. The answer is 1\frac{31}{40}
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Please help me with this problem
sineoko [7]

Answer:

4

Step-by-step explanation:

\frac{ {3x}^{2} -2x + 7}{2x+5}  \\  \frac{3( - 1) {}^{2}  - 2( - 1) + 7}{2( - 1) + 5 }  \\  \frac{3 + 2 + 7}{ - 2 + 5}  \\  \frac{12}{3}  = 4

7 0
3 years ago
Solve (x + 5)^(3/2)= (x - 1)^3
IRINA_888 [86]

Answer:

  x = 4

Step-by-step explanation:

For an equation of this sort, my first step is to rewrite it so the solutions are the x-intercepts of the graph:

  (x +5)^(3/2) -(x +1)^3 = 0

The graph is attached. The one real solution is x=4.

__

The solution method for something like this is necessarily ad hoc. Here, it appears that progress can be made by raising both sides of the equation to the 2/3 power:

  ((x +5)^(3/2))^(2/3) = ((x -1)^3)^(2/3)

  x +5 = (x -1)^2

Now, you have an ordinary quadratic that can be solved using any of the usual methods.

  x^2 -2x +1 = x +5 . . . . swap sides, expand the square

  x^2 -3x -4 = 0 . . . . . . put in standard form

  (x -4)(x +1) = 0 . . . . . . factor

The solutions to this are ...

  x = 4, x = -1 . . . . . . . values of x that make the factors zero

__

To see if either of these solutions is extraneous, we can check them:

  (4 +5)^(3/2) = (4 -1)^3 . . . . . substitute 4 for x

  9^(3/2) = 3^3 . . . . . . . . . true

  (-1 +5)^(3/2) = (-1 -1)^3 . . . . . substitute -1 for x

  4^(3/2) = (-2)^3

  8 = -8 . . . . . . . . . . . false; x = -1 is extraneous

The solution is x = 4.

_____

<em>Additional comment</em>

You can eliminate the x=-1 "solution" by considering the domains of the left- and right-side expressions. The 3/2 power is equivalent to the square root of the cube. That will generally only be defined for non-negative values (x ≥ -5). The cube on the right will only be positive for x > 1, so the practical domain of this equation is x ≥ 1.

5 0
3 years ago
PLEASE HELP- a crew of highway workers paved 2/15 of a mile 20 minutes. If they work at that same rate how much mile will they p
Kobotan [32]

Answer:

2/5

Step-by-step explanation:

20 x 3 = 60

2/15 x 3 = 2/5

Sidenote: Hope this helps! :D

6 0
3 years ago
Read 2 more answers
Hey guys, I know this is a lot so I am offering a lot of points. I was stumped on this paper, I just need a little help on how t
Llana [10]
So for number one, you would have to divide the number by the one being multiplied. I’ll do the first one and you can do the second one, comment if you need help.
(4)*_=-12 —> -12/4 = -3
Check : -3*4 = -12
The answer would be -3.
For the second one, multiply all the numbers first and find the actual answer.
(4)*(-7)*(-1) —> 4 * -7 = -28 —> -28 * -1 = 28
Then multiply their answers.
Evangelina : (-28)*(-1) = 28
Josh : (4)*(7) = 28

Now check who has the right answer and explain why.

For number three, use the letters and plug in the values that are being given to you.

e —> -e
-e * f = -15
-e * g = 6
f * g = -10

Now solve from there!

I really hope I helped, comment if you have any questions:)
5 0
3 years ago
You withdraw $40 each month from your savings account. what integer represents the change in your balance after 4 months?
kotegsom [21]

Answer:

The balance would be $160 from whatever it was before the 4 months.

Step-by-step explanation:

Since the bank balance is being added by 40 for each month for 4 months, 4 * 40 is just 4*4 with an extra zero on the end. so that would be $160.

So if the balance before was $40, then the new balance after 4 months would be $200.

If there's no money previously, then there is now $160 after 4 months.

If there's a value before the $40 for 4 months, let me know and I will explain and tell you what it is.

5 0
2 years ago
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