1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OlgaM077 [116]
3 years ago
7

The average (arithmetic mean) of y numbers is x. If 30 is added to the set of numbers, then the average will be x − 5. What is t

he value of y in terms of x ?

Mathematics
2 answers:
Alenkasestr [34]3 years ago
6 0

Answer:

y = \frac{1}{5}(x^{2}-35x)

Step-by-step explanation:

Let the total numbers are n.

If the average of y numbers is x then we can form an equation

\frac{y}{n}=x

⇒ \frac{n}{y}=\frac{1}{x}

⇒ n = \frac{y}{x} --------(1)

Now 30 is added to the set of numbers then average becomes (x - 5)

\frac{y+30}{n+1}=(x-5)

⇒ \frac{(n+1)}{(y+30)}=\frac{1}{(x-5)}

⇒ (n + 1) = \frac{y+30}{x-5}

⇒ n = \frac{y+30}{x-5} - 1 ----- (2)

Now we equate the values of n from equation 1 and 2

\frac{y}{x} = \frac{y+30}{x-5} - 1

y(x - 5) = x(y + 30) - x(x - 5)  [ By cross multiplication ]

xy - 5y = xy + 30x - x² + 5x

xy - xy - 5y = 35x - x²

-5y = 35x - x²

x² - 35x = 5y

y = \frac{1}{5}(x^{2}-35x)

aleksley [76]3 years ago
6 0

Answer: y = x/5 - 7

Step-by-step explanation:

Please see the workings attached .

You might be interested in
The coordinate point F(-8, 0) after a dilation with scale factor of 0.25, centered at the origin, becomes the point
FrozenT [24]

Answer:

(-2,\, 0).

Step-by-step explanation:

Dilate a point (x,\, y) by a scale factor of r with (a,\, b) as the center, and the resultant point would be at (a + r\, (x - a),\, b + r\, (y - a)).

In this question:

Point to dilate: (x,\, y) = (-8,\, 0).

Scale factor: r = 0.25.

Center of dilation: (a,\, b) = (0,\, 0).

The resultant point would be:

(0 + 0.25\, (-8 - 0),\, 0 + 0.25\, (0 - 0)), which simplifies to (-2,\, 0).

5 0
3 years ago
20 is 25% of what number
borishaifa [10]
Hey there! :D

If 20 is 25% of a number, 

we know that it is a quarter of a number. 

20*4= 80

20 is 25% of 80.

I hope this helps!
~kaikers
5 0
3 years ago
Read 2 more answers
Find k given that these three points are collinear.<br> A(0, -2), B(2, 0), and C(5, k)
goldfiish [28.3K]

Answer:

k = 3.

Step-by-step explanation:

If they are collinear the slope of AB = the slope of BC, so :-

(0- (-2)) / (2 - 0) = (k - 0) / (5 - 2)

2/2 = k/3

1 = k/3

k = 3.

7 0
3 years ago
Which of the following represents the graph of f(x) = 2(x + 3)?
Yuliya22 [10]
We have that

the correct expression is
y=2<span>^</span>(x+3)

using a graph tool
see the attached figure

the answer is the option C

3 0
3 years ago
I need help understanding this and help with the problems...
Pavel [41]

1. 15+37=?

  • 15=10+5 (given on the diagram)
  • 37=30+7 (given on the diagram)
  • add digits to digits 5+7=12=10+2
  • add tens to tens 10+30+10=50
  • add tens and digits 50+2=52.

2. 22+49=?

  • 22=20+2 (given on the diagram)
  • 49=40+9 (given on the diagram)
  • add digits to digits 2+9=11=10+1
  • add tens to tens 20+40+10=70
  • add tens and digits 70+1=71.

3. 38+26=?

  • 38=30+8 (given on the diagram)
  • 26=20+6 (given on the diagram)
  • add digits to digits 8+6=14=10+4
  • add tens to tens 30+20+10=60
  • add tens and digits 60+4=64.

Answer: 1) 52; 2) 71; 3) 64.

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the equation of a line that passes through the point (3,6) and (8,4)
    12·1 answer
  • The cafeteria manager took a survey of the third grade students and found that 83 of 127 students said they did not want hot dog
    14·2 answers
  • Plz Simplify 5a-(3a-7)
    6·1 answer
  • Graph the system of equations. <br> {<br> 8x+8y=64<br> 2x−2y=−4
    14·2 answers
  • Geometry- please explain when you answer. #16
    15·1 answer
  • Travis is making a pattern with triangle tiles. Each side of a triangle is 3 inches long. What is the perimeter when the pattern
    9·1 answer
  • What is the distance???
    14·2 answers
  • What is x 4x+2 plz help
    6·2 answers
  • Which graph shows the solution to the system of linear inequalities
    9·2 answers
  • Which equation has only one unique solution?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!