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
Paladinen [302]
3 years ago
10

9. If y varies directly with x and y = -3 when x = 6, find y when x = 14.

Mathematics
1 answer:
masya89 [10]3 years ago
7 0

9)

If y varies directly with x and y = -3 when x = 6, find y when x = 14.

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

we are given y = -3 when x = 6

so substitute y = -3 and x = 6 to determine 'k'

k = y/x

k = -3/6 = -1/2

Now we have to find y when x = 14

so substituting x = 14 and k = -1/2 to find y

y = kx

y =  -1/2 × 14 = -7

Therefore, the value of y = -7 when x = 14

10) If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.

we are given y = 4 when x = 3

so substitute y = 4 and x = 3 to determine 'k'

k = y/x

k = 4/3

Now we have to find x when y = -12

so substituting y = -12 and k = 4/3 to find x

y = kx

x = y/k

x = [-12] / [4/3] = [-12×3] / [4]

x = -36/4

x = -9

Therefore, the value of x = -9 when x = 3

11)

If y varies directly with x and y = -6 when x = 2, find the constant of variation.

We are given

y = -6

x = 2

so substitute y = -6 and x = 2 in the equation

k = y/x

k = -6/2

k = -3

Therefore, the value of the constant of variation will be:

  • k = -3
You might be interested in
Michelle is three times as old as Fiona. Fiona is twice as old as Madeline. Madeline is seven years old. How old is Michelle?
Leto [7]
7*2=14
14*3=42

Michelle is 42 years of age...
6 0
3 years ago
16/x = 2/7 cross multiplication
WITCHER [35]

Answer:

x=56

Step-by-step explanation:

16 x 7= x * 2

x=\frac{16 x7}{2}

x=56

Hope this helps :)

8 0
3 years ago
Please help this is due in 1 hr.
defon
Answer:
Mr.Brown received $5,602.5 last month

Step-by-step explanation:
Mr.Brown already has $5,600 and has 2.5. 2.5 as a fraction is 2 1/2, but it is easier having it as a decimal, so since it’s already a decimal all you need to do it add 5,600 and 2.5(5,600 + 2.5).
8 0
3 years ago
Read 2 more answers
What is it !, help !
Gala2k [10]

Answer:

an isosceles triangle

Step-by-step explanation:

it has two equal sides so this is isosceles triangle

7 0
3 years ago
180537.5 what is it simplified??
olga_2 [115]
180537.5 simplified is 180538
6 0
3 years ago
Other questions:
  • Od=125
    6·2 answers
  • Professor Stache awarded 500 certificates, some for math, and some for science. Girls won 2/3 of the math certificates and 1/2 o
    12·1 answer
  • june madera a de singular with 6 equilibrio tiles. one tiles is y ellos, 2 tiles are blue, and 3 tiles are purple
    9·1 answer
  • An equilateral triangle and a square have the same perimeter. Each side of the square measures 6 cm. What is the length of each
    5·1 answer
  • Solve -1 4/5x = 9 please hep and fast
    13·1 answer
  • What is the degree of the<br> polynomial below?<br> x^3 + 2x - 3x^4 + 5 + 3x^2
    7·2 answers
  • Order these numbers from least to greatest.
    5·1 answer
  • Make p the subject of the formula A=p+prt÷100​
    9·1 answer
  • Can someone pls help me with problems 4 and 5 pls this is due in a bit and I’m in a rush I’ll give 100 points it’s all I have
    12·2 answers
  • The value of y varies directly with x, and y = 18 when x = 12. Find y when x = 60.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!