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dedylja [7]
3 years ago
14

The top 1/5 of the runners advance to the finals for the track and field competition. What is the decimal value of that number?

SHOW YOUR WORK PLEASE!
Mathematics
2 answers:
AysviL [449]3 years ago
6 0

To find the decimal value of a fraction divide the numerator (1) by the denominator (5). 1 divided by 5 is 0.2

Elden [556K]3 years ago
3 0

1 divided by 5 is 0.2!

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Solve 5x - 10 <_ 20 pls help
balandron [24]

Answer:

(-∞, 6]

Step-by-step explanation:

Step 1: Write inequality

5x - 10 ≤ 20

Step 2: Solve for <em>x</em>

  1. <u>Add 10 to both sides:</u> 5x ≤ 30
  2. <u>Divide both sides by 5:</u> x ≤ 6

Here we see that any value less than or equal to 6 would work.

∴ the 3rd option is our answer.

6 0
3 years ago
Solve the equation x^5-4x^4+4x^3+2x^2-5x+2=0
sergejj [24]

Answer:

x = 2 or x = 1 or x = -1

Step-by-step explanation:

Solve for x over the real numbers:

x^5 - 4 x^4 + 4 x^3 + 2 x^2 - 5 x + 2 = 0

The left hand side factors into a product with three terms:

(x - 2) (x - 1)^3 (x + 1) = 0

Split into three equations:

x - 2 = 0 or (x - 1)^3 = 0 or x + 1 = 0

Add 2 to both sides:

x = 2 or (x - 1)^3 = 0 or x + 1 = 0

Take cube roots of both sides:

x = 2 or x - 1 = 0 or x + 1 = 0

Add 1 to both sides:

x = 2 or x = 1 or x + 1 = 0

Subtract 1 from both sides:

Answer:  x = 2 or x = 1 or x = -1

3 0
3 years ago
a charitable organization in Lanberry is hosting a black tie benefit. Yesterday, the organization sold 55 regular tickets and 49
jenyasd209 [6]

Answer:

  • regular: $67
  • VIP: $122

Step-by-step explanation:

Let r and v represent the costs of a regular and VIP ticket, respectively. The two sales can be represented by ...

  55r +49v = 9663

  79r +84v = 15541

We can subtract 7 times the second equation from 12 times the first to eliminate the v terms.

  12(55r +49v) -7(79r +84v) = 12(9663) -7(15541)

  660r +588v -553r -588v = 115,956 -108,787 . . . . . eliminate parentheses

  107r = 7169 . . . . . . . simplify

  r = 67 . . . . . . . . . . . divide by 107

Using this value in the first equation, we have ...

  55(67) +49v = 9663

  v = 5978/49 . . . . . . . . . subtract 3685, divide by 49

  v = 122

A regular ticket costs $67; a VIP ticket costs $122.

_____

<em>Additional comment</em>

When using "elimination" to solve a system of equations, you're looking for coefficients of the same variable that are related by small factors. Preferably, one coefficient is the same as, or a small multiple of, the other. Here, 55 and 79 (the coefficients of x) are not related by an integer, or a couple of small integers. On the other hand, the y-coefficients 49 and 84 have a common factor of 7, and are in the ratio 7:12, a pair of small numbers. This is why we chose to eliminate the y-variable.

The x-variable could be eliminated using 55 and -79 as multipliers of the equations. This results in larger numbers, and more chance for error. (Errors tend to creep in when computing or copying large numbers.)

Of course, any of several machine methods could be used to solve these equations, including graphing and matrix-solving functions. Here, we tried to honor the requirement to solve by elimination.

7 0
2 years ago
Sara says, "If you subtract 19 from my number and multiply the difference by - 6, the result is - 72." What is Sara's number?​
deff fn [24]
19-7 equals 12. 12 times -6=-72. Sara’s number is 7
4 0
2 years ago
Read 2 more answers
Simplify this equation for a line (y+1)=2(x+5) Give your answer in the form Y=_x+_
Fantom [35]
I'm pretty sure it would be y=2x+9
4 0
3 years ago
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