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
klemol [59]
3 years ago
13

If x varies directly with y and y is 10 when x is 8, what is x when y is 18?

Mathematics
2 answers:
swat323 years ago
5 0
Knowing that x varies directly with y, we know the basic skeleton of the equation is y = mx. 

To find m, plug in the known coordinate (8,10), where the x-coordinate is 8 and the y-coordinate is 10.
y=mx \\ 10=m8 \\ (10)/8=(8m)/8 \\ m= \frac{10}{8} = \frac{5}{4}

Then, plug in m to the equation to get y = (5/4)x.

Finally, plug in the y-coordinate 18 to the equation and solve for x!
y= \frac{5}{4}x \\ 18= \frac{5}{4}x \\  \frac{4}{5}(18)=( \frac{5}{4}x) \frac{4}{5} \\ x= \frac{4*18}{5}  \\  x= \frac{72}{5}

Your exact answer is x = 72/5. However, if your teacher prefers decimals, then x = 14.4

Hope this helps!
Vesnalui [34]3 years ago
3 0

y varies directly with x
y=kx
10=k(15)
k=10/15
y=(10/15)x
when x=6
y=(10/15)(6)=60/15=4 
 x varies inversely as y
x=k/y
2=k/8
k=16
x=16/y
when y=17

You might be interested in
Winston's team participated in a total of 22 chess matches. Winston
Zepler [3.9K]

Answer:

Peter Jonathan Winston (March 18, 1958 – disappeared January 26, 1978) was an American chess player from New York City

Step-by-step explanation:

In late 1977, Winston attended a FIDE-rated tournament at Hunter College High School in New York City. Despite being one of the highest-rated players in the tournament, Winston lost all nine of his games. A few months later, on January 26, 1978, following further surprising game losses, Peter Winston vanished and was never heard from again. According to some sources, Winston's disappearance occurred when he left his home without money, identification, or luggage during a severe winter storm. Many chess players who were close to or acquainted with Winston claim that the champion chess player's mental health had deteriorated, along with his game performance, in the last few years of his life, and that the decline in his mental health may have led to his disappearance.

3 0
2 years ago
Read 2 more answers
I need the answer please
Veseljchak [2.6K]
The trick to solving this problem is to know and remember that the sum of all the interior angles of a triangle is always 180 degrees.

Thus, (6x+1) + (5x-17) + (9x-24) = 180.

20x = -40, so x = -2 (answer)
7 0
3 years ago
Several intervals can be combined into one region using the "set union" operation, ∪∪, which is represented as "u" in webwork. f
alekssr [168]

Write the set of points from  -6 to 0 but excluding  -4  and 0 as a union of intervals

First we take  the interval  -6 to 0. In that -4  and 0 are excluded.

So we split the interval -6 to 0.

Start with -6 and go up to -4. -4 is excluded so we break at -4. Also we use parenthesis for -4.

Interval becomes [-6,-4) . It says -6 included but -4 excluded.

Next interval starts at -4 and ends at 0. -4 and 0 are excluded so we use parenthesis not square brackets

(-4,0)

Now we take union of both intervals

[-6,-4) U (-4,0)  --- Interval from  -6 to 0 but excluding  -4  and 0



7 0
3 years ago
Someone help please I really need the answer fast if that’s possible!!??
ycow [4]

Answer:

no yes no i dumb

Step-by-step explanation:

5 0
3 years ago
Bryan owes his friend more than $1,610 from a loan. Bryan has already paid his friend back $206 and continues to pay him $156 ea
Genrish500 [490]
Owes more than 1425
owe>1425

owed musbe be equal to how much he paid back

paid back 210

and 153 per month is paid back (represent number of months by x)
so
owe=210+152x

210+153x>1425
153x+210>1425

Don't know if this is right or if it helps but
6 0
3 years ago
Read 2 more answers
Other questions:
  • Kelli calls her grandmother every month.Every other month she calls her cousin. if Kelli calls her cousin in January how many ca
    5·2 answers
  • Find the unit rate for 521 miles in 14 hours.
    9·2 answers
  • What is the mode of 156 157 158 159 160 161 162 163 164 165
    13·2 answers
  • Solve the equation 2 3/5 × 1 3/7
    15·1 answer
  • Which is the equation of the graphed line written in standard form? y = x x – x minus StartFraction one-half EndFraction y equal
    15·2 answers
  • If 3220 = 80+7, what is the value of c?
    5·1 answer
  • Please refer to the pictures below
    12·1 answer
  • -|-16| divided by(-8) multiplyed by25
    9·2 answers
  • Please answer this I need this ASAP to bring up my grade!!!!!
    10·2 answers
  • Each day on their vacation, the Garza family travels 60 miles per hour for 5 hours. Find m, the number of miles the family trave
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!