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
seraphim [82]
3 years ago
5

The quantities xxx and yyy are proportional. xxx yyy 5.85.85, point, 8 5.85.85, point, 8 7.57.57, point, 5 7.57.57, point, 5 11.

211.211, point, 2 11.211.211, point, 2 Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x. r =r=r, equals
Mathematics
2 answers:
Paul [167]3 years ago
5 0

Question:

The quantities x and y are proportional.

x y

5.8 7.5

11.2

Find the constant of proportionality (r) in the equation y=rx

Answer:

The constant of proportionality is 75/58 or 1.29

Step-by-step explanation:

Given

The table above

Required

Find the constant of proportionality

The question has an incomplete table but it can still be solved because x and y are proportional.

Given that

y = rx

Make r the subject of formula

Divide through by x

y/x = rx

y/x = r

r = y/x

When y = 7.5, x = 5.8

Substitute these values

r = y/x becomes

r = 7.5/5.8

Multiply denominator and numerator by 10

r = (7.5 * 10)/(5.8 * 10)

r = 75/58

In this case, it's best to leave the answer in fraction.

However, it can be solved further.

r = 75/58

r = 1.29 (Approximated)

Hence, the constant of proportionality is 75/58 or 1.29

QveST [7]3 years ago
5 0

Answer:

the correct answer is 1

hope this helps :D

You might be interested in
Practice D. Factor each trinomial.
Pachacha [2.7K]

Answer:

<em>S</em><em>o</em><em> </em><em>1</em><em>)</em><em> </em><em> </em><em>x</em><em>²</em><em>-</em><em>2</em><em>x</em><em>-</em><em>8</em>

<em>=</em><em> </em><em> </em><em> </em><em> </em><em> </em> x(x-2-8/x)

<em>2</em><em>)</em><em> </em><em> </em><em> </em><em>y</em><em>²</em><em>-</em><em>1</em><em>3</em><em>y</em><em>+</em><em>4</em><em>2</em>

<em> </em><em>=</em><em> </em><em> </em><em> </em>y(y-13+42/y)

<em>3</em><em>)</em><em> </em><em>m</em><em>²</em><em>-</em><em>6</em><em>m</em><em>-</em><em>7</em>

<em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>m</em><em>-</em><em>6</em><em>-</em><em>7</em><em>/</em><em>m</em><em>)</em>

<em>H</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>t</em><em> </em><em>h</em><em>e</em><em>l</em><em>p</em><em>s</em>

5 0
3 years ago
The cube root of 5 times the square root of 5 over the cube root of 5 to the 5th power
Fiesta28 [93]
(cube root of 5)  * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)

This becomes easier if we switch to fractional exponents:


  5^(1/3) * 5^(1/2)         5^(1/3 + 1/2)       5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
[ 5^5 ]^(1/3)                  5^(5/3)                 5^(5/3) 

Note that 5/6 - 5/3 = 5/6 - 10/6 = -5/6.

                                                            1
Thus,  5^[5/6 - 5/3] = 5^(-5/6)  =  --------------
                                                        5^(5/6)

That's the correct answer.  But if you want to remove the fractional exponent from the denominator, do this:

    1            5^(1/6)         5^(1/6)
---------- * ------------- = --------------    (ANSWER)
5^(5/6)       5^(1/6)              5
7 0
4 years ago
The total cost of your pizza is 6.46.
vodka [1.7K]

Answer:

193.80

Step-by-step explanation:

30x6.46=193.80

3 0
3 years ago
Read 2 more answers
3. if kx² + 2x + k = -kx have equal roots, find the values of k.<br>​
crimeas [40]

Answer:

k = - \frac{2}{3} , k = 2

Step-by-step explanation:

Using the discriminant Δ = b² - 4ac

The condition for equal roots is b² - 4ac = 0

Given

kx² + 2x + k = - kx ( add kx to both sides )

kx² + 2x + kx + k = 0 , that is

kx² + (2 + k)x + k = 0 ← in standard form

with a = k, b = 2 + k and c = k , thus

(2 + k)² - 4k² = 0 ← expand and simplify left side

4 + 4k + k² - 4k² = 0

- 3k² + 4k + 4 = 0 ( multiply through by - 1 )

3k² - 4k - 4 = 0 ← in standard form

(3k + 2)(k - 2) = 0 ← in factored form

Equate each factor to zero and solve for k

3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - \frac{2}{3}

k - 2 = 0 ⇒ k = 2

5 0
4 years ago
There is a new student in class and you have been asked to teach them everything you know about coordinate planes. **Write at le
Simora [160]

Step-by-step explanation:

The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin. We can use the coordinate plane to graph points, lines

4 0
3 years ago
Other questions:
  • ABCD is a parallelogram and line CD = line DA. determine whether the parallelogram is a rhombus. if so by which property?
    10·2 answers
  • 7s. 49
    7·1 answer
  • One half plus negitive two therds
    7·1 answer
  • Ryan buys a new pair of headphones for $32. He has to pay 7.25% tax. What is his total bill
    10·2 answers
  • A(n) a0 is a complex community of organisms that function as a unit in an environment.
    10·1 answer
  • Cally wants to coat her driveway with a winter sealer. Her driveway is 18 feet long and shaped like a trapezoid. At the garage d
    11·1 answer
  • The area of this trapezoid is what?
    12·2 answers
  • GN WORLD not that anyone care but gn
    13·2 answers
  • Which expression is equivalent to (2x^2 +3)(x+4)???​
    5·2 answers
  • I will get the belt if I get this wrong pls don't be a bs person
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!