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
Vikki [24]
3 years ago
11

Suppose that y varies directly with x and y=10 when x=20. What is y when x=15

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

y=kx

subst y=10 and x=20 into the above

<em>1</em><em>0</em><em>=</em><em>k20</em>

<em>k</em><em>=</em><em>1</em><em>0</em><em>/</em><em>2</em><em>0</em>

<em>k</em><em>=</em><em>1</em><em>/</em><em>2</em>

<em>therefore</em><em> </em><em>relationship</em><em>:</em><em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>x</em>

<em>subst</em><em> </em><em>x</em><em>=</em><em>1</em><em>5</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>relationship</em>

<em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>(</em><em>1</em><em>5</em><em>)</em>

<em>y</em><em>=</em><em>7</em><em>,</em><em>5</em>

Step by step explanation:

  • Step 1: when they say y varies directly with x they mean<em> y is proportional to x</em>
  • step 2: so y=kx where <em>k is the constant</em>
  • step 3: is to substitute <em>y=10</em> and <em>x=20</em> into the above equation y=kx
  • step 4: you will end up with <em>10=k20</em> then divide both sides by 20 so that <em>k becomes the subject of the formula </em>
  • step 5: your answer from the above will be <em>k=10/20 </em>so the relationship is <em>y is directly proportional to 1/2 x </em>what you did here is that you substituted k for 1/2 in the equation in step 3
  • step 6: is to finally substitute x=15 into the equation <em>y=1/2x</em> to finally get your answer <em>y</em><em>=</em><em>7</em><em>,</em><em>5</em><em>.</em>
You might be interested in
Someone please helppp.
Lady_Fox [76]
Set up the equation 3x+1= 4x-7 and you’ll get your answer
4 0
2 years ago
Read 2 more answers
Simplify (2x + 1)(x - 7)
NikAS [45]
2x squred -7 I think,lol
4 0
2 years ago
Read 2 more answers
Nancy's garden has the dimensions shown 4 1/2 yard<br><br> 3 3/4 yd . She need find the area
Marina86 [1]

Answer:

The area of Nancy's garden is 16\frac{7}{8}\ yd^{2}

Step-by-step explanation:

I assume that the Nancy's garden is a rectangle shape

To find the area first convert mixed number to an improper fraction

4\frac{1}{2}\ yd=\frac{4*2+1}{2}=\frac{9}{2}\ yd

3\frac{3}{4}\ yd=\frac{3*4+3}{4}=\frac{15}{4}\ yd

Therefore

The area is equal to

A=\frac{9}{2}*\frac{15}{4}=\frac{135}{8}\ yd^{2}

convert to mixed number

\frac{135}{8}\ yd^{2=\frac{128}{8}+\frac{7}{8}=16\frac{7}{8}\ yd^{2}

4 0
3 years ago
At summer camp, 150 kids had the opportunity to choose their activities. 1/3 of those kids selected archery for their morning ac
KIM [24]
They choose 25 options on five kis
7 0
3 years ago
Find the value of X please!!!
dybincka [34]

Answer:

What are we finding for X?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which statement shows how two polynomials 3x + 6 and 5x2 − 4x demonstrate the closure property when multiplied?
    6·2 answers
  • Solve the linear equation for x <br><br> -4.8(6.3x-4.18) =-58.56<br><br> X=
    12·1 answer
  • Hi Im a new member of brainly and I was wondering how to gain points&lt;3
    9·2 answers
  • How many times doez 100,000,000 go into 1,000,000,000​
    11·2 answers
  • On a 15 scale drawing of a car, one part is 8 inches long. How long will the actual car part be?
    14·2 answers
  • A police department believes that the number of serious crimes which occur each month can be estimated by the equation c=1200-12
    6·1 answer
  • Can someone plz help me
    9·2 answers
  • 425L + 125S &gt;= 4,800 <br> Total 15 devices
    15·1 answer
  • You have just planted a new tree. To support the tree, you attach a wire from the trunk of th tree to a stake in the ground. Eac
    14·1 answer
  • You have $225 in your savings account. If you deposit $50 per month into your savings
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!