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
Korvikt [17]
3 years ago
13

Y varies directly as x. Y=42 when x=6. Find the value of y when x =15.

Mathematics
1 answer:
pentagon [3]3 years ago
4 0

Answer:

y=120

Step-by-step explanation:

Y varies directly as x is written as

y \alpha x

introducing a constant

y=kx

<em>from</em><em> </em><em>the</em><em> </em><em>ques</em><em>tion</em><em>,</em><em> </em><em>whe</em><em>n</em><em> </em><em>y</em><em>=</em><em>4</em><em>8</em><em>,</em><em> </em><em> </em><em>x</em><em>=</em><em>6</em>

<em>sub</em><em>stitute</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>form</em><em>ula</em>

<em>4</em><em>8</em><em>=</em><em>6</em><em>k</em>

<em>making</em><em> </em><em>k</em><em> </em><em>the</em><em> subject</em><em> </em><em>by </em><em>divi</em><em>ding</em><em> </em><em>thr</em><em>ough</em><em> </em><em>by</em><em> </em><em>6</em>

<em>\frac{48}{6}  =  \frac{6k}{6}</em>

k=48/6

k=8

<em>put</em><em> </em><em>the</em><em> </em><em>va</em><em>lue</em><em> </em><em>of</em><em> </em><em>k</em><em> </em><em>in</em><em> </em><em>the </em><em>expression</em><em> </em><em>y</em><em>=</em><em>kx</em>

<em>y</em><em>=</em><em>8</em><em>x</em>

from the question,the value of y when x=15 is given by

y=8×15

y=120.

You might be interested in
Solve the system of equations.
guajiro [1.7K]

Answer:

Option 2: (1, 0) and (0, -5)

Step-by-step explanation:

Let's solve this system of equations using the elimination method.

Start by labelling the two equations.

5x -y= 5 -----(1)

5x² -y= 5 -----(2)

(2) -(1):

5x² -y -(5x -y)= 5 -5

Expand:

5x² -y -5x +y= 0

5x² -5x= 0

Factorise:

5x(x -1)= 0

5x= 0 or x -1= 0

x= 0 or x= 1

Now that we have found the x values, we can substitute them into either equations to solve for y.

Substitute into (1):

5(0) -y= 5 or 5(1) -y= 5

0 -y= 5 or -y= 5 -5

y= -5 or -y= 0

y= 0

Thus, the solutions are (0, -5) and (1, 0).

3 0
2 years ago
A pizza restaurant starts the day with a certain amount of pizza dough. The length of time the dough will last varies inversely
nordsb [41]

Answer:

thats alot of people don't you think

Step-by-step explanation:

6 0
2 years ago
Math question, please help me!!
riadik2000 [5.3K]

Answer:

Sorry I am a little confused about the answer

3 0
3 years ago
O
vichka [17]

Answer:

4.) ET is perpendicular to plane BAT

Step-by-step explanation:

4 0
3 years ago
I need to know the question about the angle please
Naddik [55]
41.5 and 41.5 degrees
6 0
3 years ago
Other questions:
  • Jenny served a volleyball​
    9·1 answer
  • Multiply. (6)(−3)(−5) <br><br><br><br> 90<br><br> −2<br><br> −90
    11·1 answer
  • At a carnival , 7 out of 10 people order a hot dog. If there is 90 people at the carnival, how many of them did
    15·1 answer
  • 1) Which shows 5/90 in decimal form?
    7·2 answers
  • So i'm having a bit of trouble with the same thing again, sorry for asking this many questions for the same lesson but my moms b
    8·1 answer
  • Can i please get some help with this
    10·1 answer
  • Find the solution in the set W. 3 + x = x + 3
    11·1 answer
  • How may riders filled 20 cars?
    14·1 answer
  • What is a net in math?
    13·2 answers
  • Write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!