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
Anettt [7]
3 years ago
9

Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?

Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer:

C. 6

Step-by-step explanation:

Recall that inverse variation is given by:

\displaystyle y=\frac{k}{x}

Where <em>k</em> is the constant of variation.

We know that <em>y</em> = 48 when <em>x</em> = 3. Substitute:

\displaystyle (48)=\frac{k}{(3)}

Solve for <em>k: </em>

<em />k=3(48)=144<em />

<em />

Hence, our equation is:

\displaystyle y=\frac{144}{x}

We want to find <em>x</em> when <em>y</em> = 24. Substitute:

\displaystyle \frac{24}{1}=\frac{144}{x}

Cross-multiply:

24x=144

Divide both sides by 24. Hence:

x=6

Our answer is C.

You might be interested in
Answer, please<br><br> -12 ÷ 4 = ?
ioda
-3 . This is because if you divide any negative number by a positive number, you'll always get a negative answer.
6 0
2 years ago
Read 2 more answers
Ellis built a rectangular vegetable garden there is 9' long and has an area of 72 ft²what is the perimeter of the vegetable gard
xz_007 [3.2K]
W= 72/9 = 8
w=8
l+l+w+w= p
9+9+8+8 = 34ft
6 0
3 years ago
Will someone please help me with this??
ehidna [41]

\huge \mathfrak { \green{A} \pink{n} \orange{s}{w}{\blue{e}}{ \gray{r}}} \\  \\  \:  \:  \:  \implies \:  \mathbb{C.  - 3}

The leading term is the term containing the highest power of the variable: the term with the highest degree. The leading coefficient is the coefficient of the leading term.

7 0
1 year ago
Describe how (2 cubed) (2 superscript negative 4) can be simplified.
irina [24]

Answer:

1/2

Step-by-step explanation:

Given:

(2 cubed) (2 superscript negative 4)

= (2³)(2^-4)

= (2³) (1 / 2⁴)

= (2³ * 1) / 2⁴

= 2³ / 2⁴

Both numerator and denominator has the same base. Thus, pick one of the bases

Also, in indices, division sign can be translated to subtraction

Therefore,

2³ / 2⁴

= 2^3-4

= 2^-1

= 1/2¹

= 1/2

(2³)(2^-4) = 1/2

7 0
3 years ago
I need help please?!!!!):
Daniel [21]

Answer:

4

Step-by-step explanation:

The mean of a set of data: <em>(n₁ + n₂ + n₃...)/n</em>, where n₁,₂,₃... are numbers in the set, and n is the number of numbers.

Plug in: (1 + 5 + 5 + 7 + 3 + 3 + 4)/7

Add: 28/7

Divide: 4

8 0
2 years ago
Read 2 more answers
Other questions:
  • Let's get some fun If u get this question wrong u have to change your profile picture to Psyduck for 3 days and if u know the an
    14·1 answer
  • Carlos purchased an antique chair for $15 he later so the chair for $27 to an antique dealer what was the percent markup of the
    14·1 answer
  • Suppose ST¯¯¯¯¯¯ has one endpoint at S(0, 0). What are the coordinates of T if (4, 5) is 1/3 of the way from S to T? ( , )
    15·1 answer
  • Each card costs $ 3.00. how much do 44 cards cost
    15·2 answers
  • 2x + 3 &gt; 10<br><br> Solve for x with proper sign
    11·2 answers
  • The graph shows f(x) = |x – h| + k. What is the value of h?
    13·1 answer
  • At 12:00 P.M., the water pressure on a submarine is $435 pounds per square inch. From 12:00 P.M. to 12:30 P.M., the water pressu
    15·2 answers
  • Evaluate each expression.
    5·1 answer
  • What is 3v+7v+9v equal to
    14·1 answer
  • The coordinates of point A on a grid are (−2, −4). Point A is reflected across the y-axis to obtain point B. The coordinates of
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!