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
V125BC [204]
3 years ago
12

Suppose that y varies inversely as x and that y=8 when x=3. Calculate the value of y when x= 10.

Mathematics
1 answer:
Svetach [21]3 years ago
3 0

\bf \qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 8\\ x = 3 \end{cases}\implies 8=\cfrac{k}{3}\implies 24=k~\hfill \boxed{y = \cfrac{24}{x}} \\\\\\ \textit{when x = 10, what is \underline{y}?}\qquad \qquad y = \cfrac{24}{10}\implies y = \cfrac{12}{5}

You might be interested in
which uppercase letters will not appear reversed when they are held in front of a mirror? what type of symmetry do these letters
Irina-Kira [14]
A,H,I,M,O,T,U,V,W,X,Y --- these have vertical symmetry

a word whose reflection is also a word....YAM and MAY 
3 0
3 years ago
Boadu and ansah formed a company and agreed that their annual profit will be shared in the ratio of 4:5 respectively. If at the
lozanna [386]

Answer:

ghs 20,000

Step-by-step explanation:

If Boadu and ansah formed a company and agreed that their annual profit will be shared in the ratio of 4:5 respectively, the total ratio will be 4 + 5 = 9

Let Boadu share be x

Let ansah share be y

If at the end of the year ansah received ghs5,000 more than Boadu, then;

y = 5000 + x

Boadu share = 4/9 * (x+y)

x+y is the total amount shared

x = 4/9 * (x+y)

Substitute y = 5000 + x

9x = 4(x+y)

9x = 4x + 4y

9x - 4x = 4y

5x = 4y

5x = 4(5000+x)

5x = 20,000 + 4x

5x-4x = 20,000

x = 20,000

Hence Boadu share is ghs 20,000

3 0
2 years ago
Marty ate 1/4 of his pizza and Luis ate 1/3 of his pizza. Marty ate more pizza than Luis. Is that possible?
Nataly_w [17]
Of course.

You can only say for sure that 1/4 of a whole thing is less than 1/3 of a whole thing
if the whole things are equal size.

If Marty's pizza was 1/3 bigger than Luis' pizza, then they both ate the same amount.
If Marty's was MORE than 1/3 bigger than Luis', then Marty ate more pizza.
8 0
3 years ago
Read 2 more answers
Is the following statement true or false?<br> A line is zero-dimensional.<br> true<br> false
garik1379 [7]
Answer:
False

Explanation:
Zero-dimensional would be a point.
One-Dimensional would be a line.
Two-Dimensional would be a plane.
Three-Dimensional would be a shape.
7 0
2 years ago
Read 2 more answers
PLEASE EXPLAIN BECAUSE A GIRL IS COMPLETELY LOST HERE
Afina-wow [57]

Hello!


To find the value of b, we need to use the Law of Sines. The law states,

sin A / a = sin B / b = sin C / c.


We are given these values: sin A = 55 degrees, side a = 8 cm, sin C = 82 degrees.


Since angle B is not given, we have to find it ourselves. We can find the measure of angle B by subtracting both the given angle values from 180 degrees because every triangle is equal to 180 degrees.


180 - 55 - 82 = 43 | The measure of sin B = 43 degrees.


sin (55) / 8 = sin (43) / b (multiply both sides by b)

0.10239... · b = 0.68199... (divide both sides by 0.10239...)

c = 6.6607...


The measure of side b is equal to about 6.7 centimeters.

3 0
3 years ago
Read 2 more answers
Other questions:
  • In the last two weeks of a sale, prices are reduced first by 30% and then by a further 40% of the new price . What is the final
    7·1 answer
  • You make $1 per quart picking strawberries. Do the ordered pairs (number of quarts, earnings) represent a function? Explain your
    9·1 answer
  • Plastic cups comes in an 10-pack, but paper plates come in a 12 pack. What is the smallest number of plastic cups and paper plat
    7·1 answer
  • Can someone help my devil of a brother number 2?
    14·1 answer
  • A company is designing a new cylindrical water bottle. The volume of the bottle will be 187 cmcubed. The height of the water bot
    5·1 answer
  • A 16-foot ladder is leaning against a wall and the bottom of the ladder is 7 feet from
    9·1 answer
  • Please help me due today!
    6·1 answer
  • FREE BRAINLY!!!! PLEASE HELP
    10·2 answers
  • Acellus
    14·1 answer
  • Can someone help me please? I don't nderstand this
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!