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
Zinaida [17]
3 years ago
8

Suppose that y is directly proportional to x and that y = 16 when x = 8. Find the constant of proportionality k.

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

Answer:  24

Step-by-step explanation:

Variation: y  ∞  x

y  =  kx , where k is the constant of proportionality

now to find k, we substitute for y and x in the equation above

16 = 8k

therefore,

k = ¹⁶/₈

  = 2.

Now, to find y , we move back to the equation above and substitute for x and k to get y

y =   12(2)

  =  24

You might be interested in
A thread was folded in half twice. Then, it was cut in a random place. One of the pieces is 8cm, and the longest piece is 18cm.
Elena-2011 [213]

Answer:

fffffff

Step-by-step explanation:

5 0
2 years ago
What is the mean, median, mode, and range of 8, 35, 10, 12, 14?
Ivan

answer:

mean: 15.8

median: 12

mode: no mode

range: 27

step-by-step explanation:

  • first know how to find each of the above and what they are
  • mean = (avg) add all the numbers, then divide by the number of numbers
  • median = the middle number from increasing order
  • mode = the one that repeats the most
  • range = the difference between the largest and smallest number

8, 35, 10, 12, 14

<u>mean</u>

8 + 35 + 10 + 12 + 14 = 79

  • there are five numbers

79 / 5 = 15.8

<u>median</u>

  • put them from smallest to largest

8, 10, 12, 14, 35

  • 12 is the median OR the middle number

<u>mode</u>

  • no number repeat, so no mode

<u>range</u>

35 - 8 = 27

3 0
3 years ago
Which rule describes the composition of
ExtremeBDS [4]

Answer:

The second one: r x-axis. R 90(x,y)

Step-by-step explanation:

You can see that from ABC to A'B'C', it's rotated a positive 90 degrees. then, from A'B'C' to A"B"C", reflected across x-axis. and when writing the transformation, it goes by last to first. that's why the R 90 comes first.

8 0
3 years ago
A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area
aniked [119]

The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

<h3>What is the area of a heptagon?</h3>

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)

Here, (<em>a</em>) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

brainly.com/question/26271153

3 0
2 years ago
Is A ABC similar to DEF? Why or why not?
vova2212 [387]

Answer:

Option(D)

Step-by-step explanation:

Given are the two triangles, that are ABC and DEF, in which AB=8ft, DE=6ft, AC=10ft and DF=7.5ft.

For the two triangles to be similar, it must satisfy the similarity condition that is:

Both the triangles must have congruent angles and the sides should be proportional. Since, two sides of the given triangles are not proportional.Moreover, ∠A=25° and ∠D=24° which are not equal and ∠C=60° and ∠F=61° which are also not equal.

Therefore, Not all the angles are congruent, thus the triangles cannot be similar.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Alice wants to prove to her parents that listening to music while she does her homework will help her get better grades. She dec
    8·2 answers
  • Two functions, function A and function B, are shown below:
    11·2 answers
  • A textbook search committee is considering 13 books for possible adoption. The committee has decided to select 3 of the 13 for f
    8·1 answer
  • A photographer charges a sitting fee of $15, and charges $4 for each 5-in by 7 in photograph the customer orders. The linear
    10·1 answer
  • Help 8th grade please
    15·2 answers
  • Triangle ABC and triangle CFG are similar right triangles. Which proportion can be used to show that the slope of AC is equal to
    8·2 answers
  • THIS QUESTION IS WORTH 99 POINTS!!!<br><br> 10∧23 + cos(5.634) = ?
    8·2 answers
  • Can someone please help me with this question!!!
    15·1 answer
  • 4. Which number has the smallest value?<br> O s<br> Os<br> O<br> Os<br> w
    13·1 answer
  • Kayla wants to represent "18 divided by the sum of 3 and 3". She writes 8/(3x3) . Is Kayla's expression correct? Explain using c
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!