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oee [108]
3 years ago
9

A group of students planned to chip in to raise a total of $100 for one of their friends’ birthday party but 5 persons couldn’t

come so they didn’t pay. This increased the share of the others by $1 each. Find the amount that each person paid after
Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

$5

Step-by-step explanation:

Let the number of students be x, then

<u>Initial amount per student was:</u>

  • 100/x

<u>After it becomes:</u>

  • 100/(x - 5)

<u>Since amount increased after, it can be shown as:</u>

  • 100/x + 1 = 100/(x - 5)

<u>Multiply each term by x(x - 5) to get rid of the fraction:</u>

  • 100(x-5) + x(x - 5) = 100x
  • 100x - 500 + x² - 5x - 100x = 0
  • x² - 5x - 500 = 0

<u>Positive solution of this quadratic equation is </u>

  • x = 25

<u>Amount each person paid after:</u>

  • $100 / (25 - 5) = $5

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There would be 260 lifegurads

The easy way is to divide 18.2 by 0.07 to get your answer

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4 0
3 years ago
What is the equation of the line h Th ya has a y intercept of (0,-3) and passes through the point (-9,-9)
Nikolay [14]

Answer:

The line equation is given as: 3 y = 2 x - 9

Step-by-step explanation:

Here, Y intercept   is at point ( 0.-3)

So, at x = 0, y = -3

or, C  = -3

Also, the point on the equation line is (x,y)  = (-9,-9)

Now, by <u>SLOPE INTERCEPT FORM</u> of a line equation,we get:

y = m x + C   :  m  = slope of line  ......... (1)

So, substituting the values of C and (x,y) , we get:

-9  = m (-9)  + (-3)  

or, -9 + 3  = - 9 m

or, m =  -6/-9  = 2/3

or, m = 2/3

Now, substitute the value of m back in to the line equation (1)

y = m x + C   \implies  y = (\frac{2}{3}) x - 3\\\implies 3y = 2x - 9

Hence, the line equation is given as: 3 y = 2 x - 9.

5 0
4 years ago
What are corresponding angles
azamat

Answer:

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

8 0
3 years ago
Which statement is true about 7/10 and 2/6?
77julia77 [94]

Answer: The third answer

Step-by-step explanation:

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3 years ago
Events M and N are independent events. In this scenario, if P(M) = 0.46 and P(M and N) = 0.138, then P(N) = .
Oksi-84 [34.3K]

Answer:

P(N)=0.3

Step-by-step explanation:

Given: P(M)= 0.46, P(M and N)=0.138

Using P(M) ×P(N)= P(M and N)

⇒0.46×P(N)= 0.138

⇒P(N)= \frac{0.138}{0.46}

⇒P(N)=0.3

7 0
4 years ago
Read 2 more answers
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