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
kobusy [5.1K]
3 years ago
7

If x varies directly with y and x=3.5 when y=14 find x when y=18

Mathematics
1 answer:
jekas [21]3 years ago
4 0
\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{x} varies directly with \underline{y}}\qquad \qquad  x=ky\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
x=3.5\\
y=14
\end{cases}\implies 3.5=k14\implies \cfrac{3.5}{14}=k
\\\\\\
\cfrac{1}{4}=k\qquad therefore\qquad \boxed{x=\cfrac{1}{4}y}
\\\\\\
\textit{when y = 18, what is \underline{x}?}\qquad x=\cfrac{1}{4}(18)
You might be interested in
Find the domain and range for the following functions:
Andreyy89

Answer with Step-by-step explanation:

Since we have given that

a. f: ℝ → ℝ given by f(x) = x + 2

Domain would be all real numbers i.e. (-∞, ∞)

Range would be all real numbers i.e. (-∞, ∞)

b. g: ℝ → ℝ given by g(x) = √x − 1

Domain would be all positive numbers i.e. [0,∞)

Range would be [-1,∞)

c. f(g(x))

f(g(x))=f(\sqrt{x}+1)=\sqrt{x}+1+2=\sqrt{x}+3

Domain would be  [0,∞)

Range would be [3,∞)

d. g(f(x))

g(x+2)=\sqrt{x+2}-1

Domain would be [-2,∞)

Range would be (0,∞)

4 0
3 years ago
There are 12 bags in a box of popcorn that cost $8.25. Find the unit rate for ONE bag of popcorn. Round to the hundredths place.
goldfiish [28.3K]

Answer:

$0.69 for each bag

Step-by-step explanation:

Since you have 12 bags for $8.25, that means you need to divide the price by the number of bags to get the price of each:

\frac{8.25}{12}  = 0.6875

You then need to round to the nearest hundredths.  Since the number after the hundredths place is a 7, which is greater than or equal to 5, you need to add 1 to the hundredths place making the final answer $0.69

7 0
3 years ago
PLEASE HELP!!
VladimirAG [237]

Answer:

Sphere Volume = (4/3) * PI * radius^3

radius = cube root (Sphere Volume) / (4/3)*PI

radius = cube root (5,600) / (4/3)*PI

radius = 11.016 cm

radius = 11 cm (rounded)

Answer is B

Step-by-step explanation:

4 0
3 years ago
Find the quotient of 5/31 divided by 15/23. Reduce your answer to the lowest fraction
LekaFEV [45]
5/31 / 15/23 5/31*23/15 23/93
3 0
2 years ago
Read 2 more answers
Write an equation for the line in slope-intercept form.​
avanturin [10]

Answer:

y=2

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What should be the first step in adding these equations to eliminate y? 12x-2y=-1
    7·1 answer
  • Find the measures (in degrees) of the remaining angles of trapezoid ABCD (not shown) if
    10·1 answer
  • The figure is reflected across the dotted line. Which point does not change location? A. B B. A C. D D. C
    8·1 answer
  • Question: find the answer to BC
    7·1 answer
  • Which of the following factors of production is unlikely to be found in a
    8·1 answer
  • Ace's brother is 9 years older than three times his age. the sum of their ages is 57 .how old is Chris?
    10·1 answer
  • Mylie planted flowers in 1/2 her garden. She planted 3 different flowers. How much of the garden does each flower have
    14·2 answers
  • Which of the following would be equivalent to 11 to the 8th power divided by 11 to the 3rd power?
    7·1 answer
  • Seriously guys, I'm so confused! Please help! I will give brainliest to whoever gives the best answer! Thank you!
    12·1 answer
  • A company sells a product for $5 per unit. This year, they sold 1,000 units. Each year, they plan to decrease the price by 10% a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!