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
zmey [24]
2 years ago
6

The value of x varies directly with y, and when x=1/3,y=5

Mathematics
1 answer:
pickupchik [31]2 years ago
3 0

Answer: y = 36x

Step-by-step explanation: Given that x and y vary directly then the equation relating the is

y = kx ← k is the constant of variation

To find k use the condition x = , y = 12, then

k =  =  = 12 × 3 = 36

y = 36x ← equation of variation

You might be interested in
Which expression is equivalent to [(3xy^-5)^3 / (x^-2y^2)^-4]^-2
True [87]
<span>The answer is (x</span>¹⁰<span>y</span>¹⁴<span>)/729.

Explanation:
We can begin simplifying inside the innermost parentheses using the properties of exponents. The power of a power property says when you raise a power to a power, you multiply the exponents. This gives us

[(3</span>³<span>x</span>³<span>y</span>⁻¹⁵<span>)/(x</span>⁸<span>y</span>⁻⁸<span>)]</span>⁻²<span>.

Negative exponents tell us to "flip" sides of the fraction, so within the parentheses we have
[(3</span>³<span>x</span>³<span>y</span>⁸<span>)/(x</span>⁸<span>y</span>¹⁵<span>)]</span>⁻²<span>.

Using the quotient property, we subtract exponents when dividing powers, which gives us
(3</span>³<span>/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.

Evaluating 3</span>³<span>, we have
(27/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.

Using the power of a power property again, we have
27</span>⁻²<span>/x</span>⁻¹⁰<span>y</span>⁻¹⁴<span>.

Flipping the negative exponents again gives us x</span>¹⁰<span>y</span>¹⁴<span>/729.</span>
4 0
3 years ago
Read 2 more answers
How do you figure out the answer?
svp [43]

we can divide the composite shape into on quadrilateral and triangle as shown in the diagram. since the line that joins the two shape is parallel to the base AB, the angle DEC is 85°.The angle CEA is 180°- angle DEC = 180-85=95. Angle BCE is sum of angle CEA, ABC and EAB subtracted from360°= 360°-(95+95+85)=85°. Angle DCE is 120°- ECB=35°. So, angle CDE = 180°-(35°+85°)= 60°. For reference see the diagram.

7 0
3 years ago
The larger of two numbers is 33 more than the smaller. When added together, the sum of the larger number and five times the smal
VARVARA [1.3K]

Step-by-step explanation:

let the larger number be x and smaller number be y

according to this question

x=y+33----------(1)

y+33+5y=129----------(2)

6y+33=129

y=16

x=16+33(takimg equation (1)

x=49

4 0
3 years ago
Read 2 more answers
The expression describe the number that is 8 to the left of -8 on the number line ​
mart [117]

Start at -8 move to the left 8 more times,. You get -16.

4 0
3 years ago
PL has endpoints P(4, −6) and L(−2, 1).
masya89 [10]
I believe it'd be the one with the smiley emoji
6 0
3 years ago
Read 2 more answers
Other questions:
  • Sergio has 79 paintings in his art collection. He and other local painting collectors agreed to donate some paintings to the loc
    10·1 answer
  • lvava is calculating the area of a circle with a radius of 3/4 which of the following gives the BEST estimation of the area?
    5·1 answer
  • Hattie jumps rope 57 times in 3 minutes. If Hattie jumps at a constant speed, how many times does she jump per minute?
    7·2 answers
  • 3x+2x-6=24<br> -2x -2x<br> x-6=24<br> +6 +6<br> x = 30
    9·1 answer
  • For the pair of functions, find (f o g)(x) and (gof)(x).
    13·1 answer
  • Mr. Mustard said: "If you add the ages of my
    10·1 answer
  • Do you find this with synthetic and long divison?
    12·1 answer
  • What is the value of x<br> x^3 +1 = 9
    13·1 answer
  • Write 5-7 well-written sentences. REREAD FOR ERRORS AND FIX THEM!! If you could spend the perfect day, what would you do? Where
    11·1 answer
  • How do i reduce a shape by using the scale factor 2:1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!