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
azamat
3 years ago
6

Item 16 The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation t

hat relates x and y. Item 16 The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that relates x and y.
Mathematics
1 answer:
masya89 [10]3 years ago
4 0

Answer:

k = 2

x = 2y

Step-by-step explanation:

If variables x and y vary directly, this is expressed as;

x ∝ y

x = ky

k is the proportionality constant

Let's assume the value of x and y since we are not given;

x = 20

y = 10

Substitute

20 = k(10)

10k = 20

k = 20/10

k = 2

Hence the constant of proportionality is 2

Substitute i=k = 2 into the equation x = ky

x = 2y

Hence an equation that relates x and y is x = 2y

<em>Note that the values here are assumed value, you can use the same method for any values of x and y</em>

You might be interested in
Use the Law of Sines to solve the triangle. (Let b = 47.7 yd. Round your answers for a and c to two decimal places.)
klio [65]

Answer:

C = 68.667°

a = 123.31 yd.

c = 114.90 yd.

Step-by-step explanation:

The missing image for the question is attached to this solution.

In the missing image, a triangle AB is given with angles A and B given to be 88° 35' and 22° 45' respectively

We are them told to find angle C and side a and c given that side b = 47.7 yd.

A = 88° 35' = 88° + (35/60)° = 88.583°

B = 22° 45' = 22° + (45/60)° = 22.75°

The sum of angles in a triangle = 180°

A + B + C = 180°

C = 180° - (A + B) = 180° - (88.583° + 22.75°) = 68.667°

The sine law is given as

(a/sin A) = (b/sin B) = (c/sin C)

Using the first two terms of the sine law

(a/sin A) = (b/sin B)

a = ?

A = 88.583°

b = 47.7 yd.

B = 22.75°

(a/sin 88.583°) = (47.7/sin 22.75°)

a = (47.7 × sin 88.583°) ÷ sin 22.75°

a = 123.31 yd.

Using the last two terms of the sine law

(b/sin B) = (c/sin C)

b = 47.7 yd.

B = 22.75°

c = ?

C = 68.667°

(47.7/sin 22.75°) = (c/sin 68.667°)

c = (47.7 × sin 68.667°) ÷ sin 22.75°

c = 114.90 yd.

Hope this Helps!!!

8 0
3 years ago
What is the order of rotational symmetry for a rhombus?
Westkost [7]
A rhombus<span> has </span>rotational symmetry<span>. It is a </span>symmetric<span> shape that can be rotated and still appear the same. A </span>rhombus<span> has two-fold </span>symmetry<span>, meaning that is can be rotated 180 degrees and appear the same.</span>
5 0
4 years ago
Advantages and disadvantages of simple interest
omeli [17]

Answer:

Simple interest, specifically in bank offers a grace period of six days, which gives time to payback. When saving money or investing, if the interest rate is high then the customer benefits. The disadvantages in simple interest are that if the interest rate is high then the borrower will pay more.

7 0
3 years ago
Read 2 more answers
Mark is 7 years older than his brother, who is y years old. Which expression correctly represents Mark's age?
Alex787 [66]

7 + Y = X (x= His unknown age)



3 0
3 years ago
Calculate the following numbers into scientific notation (include units)
inna [77]
<span>7800nm + 95pm = (7800x 10^-9) + (95x10^-12) = 7.800095</span><span>x10^-6=</span><span>7.800095mm
</span>
2500nm - 7pm    = (2500x 10^-9) + (7x10^-12) = 2.50007x10^-6 = 2.50007mm

(65x10^4m) x (4.5x10^-6s-1) = clarify this question

(24x10^5m) / (2x10^-8s) = clarify this question
                                                                              






7 0
3 years ago
Other questions:
  • Solve. x - 6 = 3 A) x = -3 B) x = 2 C) x = 3 D) x = 9 Please Help im trying to get my grades up
    8·2 answers
  • 98 Points !! These are follow up according to previous question that had been answered for me. Help would be appreciated ! :))
    10·1 answer
  • Find 4 consecutive even integers whose sum is 156?
    8·2 answers
  • What can I multiply to get 15 and add to get 13
    5·1 answer
  • Find the values of y = r(x) = ∛x for
    12·1 answer
  • Quadrilateral PQRS is circumscribed about a circle. Line PQ is tangent to the circle at A, line QR at B, line RS at C, and line
    6·1 answer
  • 1.792 x 10^11<br><br> What’s the answer?
    12·1 answer
  • Three lottery tickets for first, second, and third prizes are drawn from a group of 40 tickets. find the number of sample points
    5·1 answer
  • Hihi , please help if able.
    14·1 answer
  • How long would it take for the value of the account to reach $880 to the nearest tenth of a year?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!