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
Genrish500 [490]
3 years ago
7

Y varies directly as x and y = 9 when x = 72

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0

Answer:

y = \frac{x}{8}

Step-by-step explanation:

since y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition y = 9 when x = 72

k = \frac{9}{x} = \frac{9}{72} = \frac{1}{8}, hence

y = \frac{1}{8} × x = \frac{x}{8}


You might be interested in
40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS
patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

40,\:10,\:\frac{5}{2},\:\frac{5}{8}

A geometric sequence has a constant ratio 'r' and is defined by

\:a_n=a_0\cdot r^{n-1}

Computing the ratios of all the adjacent terms

\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}

The ratio of all the adjacent terms is the same and equal to

r=\frac{1}{4}

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

a_1=40

Therefore, the nth term is calculated as

\:a_n=a_0\cdot r^{n-1}

a_n=40\left(\frac{1}{4}\right)^{n-1}

Put n = 5 to find the next term

a_5=40\left(\frac{1}{4}\right)^{5-1}

a_5=40\cdot \frac{1}{4^4}

a_5=\frac{40}{4^4}

   =\frac{2^3\cdot \:5}{2^8}

a_5=\frac{5}{2^5}

a_5=\frac{5}{32}

now, Put n = 6 to find the 6th term

a_6=40\left(\frac{1}{4}\right)^{6-1}

a_6=40\cdot \frac{1}{4^5}

a_6=\frac{40}{4^5}

    =\frac{2^3\cdot \:5}{2^{10}}

a_6=\frac{5}{2^7}

a_6=\frac{5}{128}

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

  • a_5=\frac{5}{32}
  • a_6=\frac{5}{128}
7 0
3 years ago
What is the average of 74 and 57?
Lina20 [59]

Answer:

65.5

Step-by-step explanation:

(74 + 57)divided by 2 = 65.5

3 0
2 years ago
Lilith and her friend shared a pizza. Lilith ate two sixths of the pizza and her friend ate three sixths. How much pizza did the
Tcecarenko [31]

Step-by-step explanation:

\frac{2}{6}  +  \frac{3}{6 }  =

2+ 3

_____________ =

6

____5___

6

6 0
1 year ago
How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters
IgorC [24]

Answer:

A

Step-by-step explanation:

because when you multiply 3x3 (the base) times 18(the height) you get= 162

8 0
2 years ago
Wich number is larger 40\100 or 5\10
stepan [7]

Answer:

5/10

Step-by-step explanation:

5/10 as a decimal is 0.5, and 40/100 as a decimal is 0.4 (or 0.50 and 0.40, it doesnt make a difference) which means 5/10 is bigger

8 0
2 years ago
Other questions:
  • The length of a rectangle is 3 cm longer than its width. if the perimeter of the rectangle is 66 cm , find its length and width.
    9·2 answers
  • a student's work to distribute and simplify a radical is shown below. Select the statement which best applies to the sample math
    12·2 answers
  • Does this graph represent a function? Why or why not?
    7·1 answer
  • How to write 26591 in expanded form
    6·1 answer
  • A linguist had a gross income of 53,350 last year. If 17.9% of his income got withheld for federal income tax, how much of the l
    12·2 answers
  • Find the slope of a line perpendicular to the following line f(x)=-(5/7)x-7
    8·1 answer
  • A car which was advertised for sale for 95000, was ultimately sold for 83600. Find the percent reduction in the price?
    8·1 answer
  • Will some one please help me :)
    14·1 answer
  • The black graph is the graph of y = f(x).<br> Choose the equation for the red graph.<br> (Picture)
    6·1 answer
  • Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases expo
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!