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
alexdok [17]
3 years ago
5

Find the constant of variation k for the direct variation. Then write an equation for the inverse variation. Y= 4.5 when x= 3

Mathematics
1 answer:
xeze [42]3 years ago
5 0

The constant for variation is k = 3/2 and the equation for the inverse is y = 2/3x

In order to find this, we need to start with the base equation for direct variation. We can then plug in the values and solve for k.

y = kx

4.5 = k(3)

1.5 = k

Now we can model the equation as y = 3/2x. We can then find the inverse by switching the x and y and solving for the new y.

y = 3/2x ----> Switch

x = 3/2y -----> Multiply by 2/3

2/3x = y

You might be interested in
Solve for the portion. Round to hundredths when necessary.<br> What number is 0.4% of 500?
Yuri [45]

Answer:

2

Step-by-step explanation:

0.4%×500=2

Hope it helps!!!

4 0
2 years ago
15.12 is what percent of 12?
Llana [10]

Answer:

<h2>126%</h2>

Step-by-step explanation:

\bold{METHOD\ 1}\\\\\begin{array}{ccc}15.12&-&p\%\\\\12&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\12p=(15.12)(100)\\12p=1512\qquad\text{divide both sides by 12}\\p=126

\bold{METHOD\ 2}\\\\p\%=\dfrac{p}{100}\\\\p\%\ of\ 12\ is\ equal\ to\ 15.12:\\\\\dfrac{p}{100}\cdot12=15.12\\\\\dfrac{12p}{100}=15.12\qquad\text{multiply both sides by 100}\\\\12p=1512\qquad\text{divide both sides by 12}\\\\p=126

6 0
3 years ago
Eight toy makers each carved 25 blocks and 15 cars how many toys did they crave in all
Stella [2.4K]

Answer:

320

Step-by-step explanation:

25 + 15 = 40 toys each

Toy makers x number of toys each = total toys carved

8 x 40 = 320 totals carved in all

6 0
3 years ago
Read 2 more answers
Which of the following statements are represented by
Anastaziya [24]

Answer:

"For every 6 windows I wash, I earn $2."

The ratio of windows washed to money earned is 3:1.

"For every 5 baseballs sold at the store, 7 footballs are sold."

The ratio of baseballs sold to footballs sold is 5:7

6 0
3 years ago
Which ordered pair represents the solution to the system of equations? {−5x+7y=−196x−2y=10
k0ka [10]
Answer:
x = 1
y = -2

Explanation:
First, solve for x by subtracting 7y from both sides of the first equation and then divide both sides by -5.

-5x + 7y = -19
-5x + 7y - 7y = -19 - 7y
-5x = -19 - 7y
-5x/ -5 = -19 - 7y/ -5
x = -19 - 7y/ -5

Next, substitute the value of x into the second equation and solve.

6 - (-19 - 7y)/ 5 - 2y = 10
- 6(-19 - 7y)/ 5 - 2y = 10

Then, solve for y

- 6(-19 - 7y)/ 5 - 2y = 10
-6(-19 - 7y) - 10y = 50
114 + 42y - 10y = 50
144 + 32y = 50
32y = 50 - 144
32y = -64
32y/ 32 = -64/ 32
y = -2

Finally, substitute the value of y into the x value we found earlier and solve

x = - 19 - 7y/ 5
x = - 19 - 7 • -2/ 5
x = 1
8 0
3 years ago
Other questions:
  • A rectangular plot of ground is 10 meters longer than it is wide. Its area is 20,000 square meters. What equation will help me f
    11·2 answers
  • 6 ten thousands / 10 unit
    8·1 answer
  • What is the value of the expression? 3 x [(30 - 8) divided by 2 + 2]
    14·1 answer
  • A basketball player guesses her team will score 57 points during the game. The player's team actually scores 63 points.
    5·2 answers
  • What is the slope-intercept form of the function described by this table?
    9·1 answer
  • Click on the TRUE statements. (can be more than 1)
    6·2 answers
  • Kailey wants to buy a sandwich and as many oatmeal cookies as she can with $16. A sandwich costs $9 and an oatmeal cookie costs
    11·2 answers
  • It takes ryan 10 hours to pick up 40 bushels of apples in air gen can pick the same amount in 14 hours how long would it take
    14·1 answer
  • Choose all answers that apply:
    14·1 answer
  • 2=<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bu-12%7D%7B3%7D" id="TexFormula1" title="\frac{u-12}{3}" alt="\frac{u-12}{3}" align
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!