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
Please help! Thank you
Vanyuwa [196]

Answer:

x = 82°

y = 59°

z = 39°

Step-by-step explanation:

∠x = 1/2(134° + 30°) = 82°

∠z = 180° - 59° - 82° = 39°

arc DF = 2(39°) = 78°

arc DB + arc DF = 134° + 78° = 212°

draw a diameter down from point B to the opposite side of the circle, call that point P:

arc BDP = 180°

(arc BDF) 212° - 180° = 32° (arc PF)

∠PBG = 1/2(32°) = 16°

∠DEB = 1/2(134°) = 67°

∠DBE = 180° - 59° - 67° = 54°

(∠DBE) 54° - (∠z) 39° + (∠PBG) 16° = (∠PBE) 31°

y = 90°- 31° = 59°

5 0
2 years ago
Fraction with a denominator of 10 can be written as an equivalent fraction with
AVprozaik [17]

Answer:

9/10 is 90%

Step-by-step explanation:

You just make it a percentage

5 0
2 years ago
25y + 150x = 250<br><br> find the Variables
fomenos

Answer: Step-by-step explanation:

25y + 150x = 250 (÷25)

y+6x=10

y=10-6x

example x=1 y=4

8 0
2 years ago
) An instructor gives his class a set of 18 problems with the information that the next quiz will consist of a random selection
RSB [31]

Answer:

The probability the he or she will answer correctly is 1.5%

Step-by-step explanation:

In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.

There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.

A combination of n elements from a set of m objects has the following formula:

C_{(m,n)} = \frac{m!}{n!(m-n)!}

In this question, m = 18, n = 9. So the total number of possibilities is:

T_{p} = C_{(18,9)} = \frac{18!}{9!(18-9)!} = 48620

Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).

Now, m = 13, n = 9. The number of desired possibilities is:

D_{p} = C_{(13,9)} = \frac{13!}{9!(13-9)!} = 715

The probability is the number of desired possibilities divided by the number of total possibilities. So

P = \frac{715}{48620} = 0.015 = 1.5%

The probability the he or she will answer correctly is 1.5%

3 0
3 years ago
We are learning percentage so pls answer this question for me.<br> What is 10% of 332
Sergeu [11.5K]

Answer:

Step-by-step explanation:

The answer is 33.2

6 0
3 years ago
Read 2 more answers
Other questions:
  • Someone help me with all of this
    11·1 answer
  • What is the slope of the line represented by the equation below? y=-2/3x+3
    11·1 answer
  • Which graph represents the compound inequality?<br> n &lt; –2 or n ≥ 4
    12·2 answers
  • For the line = 36.5 + .48x, how do you interpret the value .48?rnrm.gif A. It's the amount of change in y when x increases by on
    15·1 answer
  • What is the Midpoint of CD given the coordinates C(-4,8) and D(8,-4)??
    12·2 answers
  • In a candy bar, 165 calories are from sugar. There are 250 calories in the candy bar. What percent of the calories are from suga
    5·2 answers
  • Harry's mother makes cakes for a local resturant. She buys flour and sugar in large amounts. She has 157.86 pounds of flour and
    6·2 answers
  • What is the inverse of the function f(x) = 4x + 8?
    6·1 answer
  • Compound interest compounded quarterly is given every ______ months. *
    13·1 answer
  • The thermostat for a house is set to 68 °F, but the actual temperature may vary
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!