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
Katyanochek1 [597]
3 years ago
6

Y is directly proportional to x,and y=216 when x=2. Find y when x=7.

Mathematics
1 answer:
makkiz [27]3 years ago
6 0
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=216\\
x=2
\end{cases}\implies 216=k2\implies \cfrac{216}{2}=k
\\\\\\
108=k\qquad therefore\qquad \boxed{y=108x}
\\\\\\
\textit{when x = 7, what is \underline{y}?}\qquad y=108(7)
You might be interested in
Can someone help me with this i don’t understand at all
Sedbober [7]

Answer:

Use trig

Step-by-step explanation:

sin(55) = x/21

x = 21sin(55)

use calculator in degree mode

cos(55) = y/21

21cos(55) = y

5 0
2 years ago
In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. There is someone with a very bad
diamong [38]

Answer: 12,972,960

Step-by-step explanation: There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways

The 2nd has a choice among 13 ways

The 3rd has a choice among 12 ways

The 4th has a choice among 11 ways

The 5th has a choice among 10 ways

The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways

But the 3 (that formed one group) could seat among themselves in 3!

or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

5 0
3 years ago
At his favorite restaurant, Dylan orders a soda with his dinner. The ice in his drink has a mass of 6 g and a volume of 20 cm3.
frez [133]

Answer:

0.3

Step-by-step explanation

The formula to find density is m/v=p

m=mass

v=volume

p=density

<h3>---------------------------</h3>

All we have to do is plug in 6g and 20cm^3

This will give us 6/20 which simplifies to 3/10

With this you can easily figure out that the decimal for 3/10 is 0.3

So the density of the ice is <u>0.3</u>

<u>Hope this helped!</u>

5 0
2 years ago
Write a rule that represents the function. <br> (1,1/2),(2,1/4),(3.1/8),(4,1/16),(5,1/32)
ratelena [41]

Answer:

Step-by-step explanation:

. cubesi, 20,64. AV 1,6,11,16... Add 5. 1, 2, 4, 8. . Multiply 2. $2,9,28,65... cubes add 1. 31,49,16 ...

5 0
3 years ago
Which of the following lists of ordered pairs is a function
Y_Kistochka [10]
They have the 2
774546-354
4 0
3 years ago
Read 2 more answers
Other questions:
  • A triangular prism has bases and lateral faces. A triangular pyramid has bases and lateral faces.
    10·2 answers
  • Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
    5·1 answer
  • the old time train museum is raising the price of tickets for train rides. tickets used to cost $4.80 each. the new tickets pric
    6·2 answers
  • Explain what a stretch is
    13·1 answer
  • What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?
    15·2 answers
  • How to solve <br> - 2b<br> -- 5(b-6)
    15·2 answers
  • Which expression is equivalent to 4-8x
    13·1 answer
  • Write a fraction that is equivalent to 2/3.
    10·1 answer
  • The math question is attached below.
    13·1 answer
  • The function c(r)=2r+12.5 represents the cost c, in dollars, of riding r rides
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!