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
Alisiya [41]
2 years ago
9

Determine K such that 2/3, k, 5/8,K are consecutive terms of an ap​

Mathematics
1 answer:
dusya [7]2 years ago
5 0

Answer:

k = 16/33

Step-by-step explanation:

Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p

k - 2/3 = 5/8k - k

3k-2/3 = 5k-8k/8

Cross product

(3k-2)(8) = (3)(5k-8k)

24k - 16 = 15k - 24k

24k - 16 = -9k

24k + 9k = 16

33k = 16

k = 16/33

You might be interested in
Josh was making cookies for the party. Each batch of cookies makes 18. If he wants to put 3 in a bagging for all 24 students, ho
kifflom [539]
ANSWER: 4 batches


EXPLANATION: 3 cookies times 24 students equals 72 cookies, 72 divided by 18 = 4
5 0
3 years ago
Given the polynomail function below, find f(-5) f(x)=x^2-2x-7
SIZIF [17.4K]
F(-5) = -5^2 - 2*(-5) - 7 = 25 - (-10) - 7 = 25 + 10 - 7 = 25 + 3 = 28
8 0
3 years ago
The sum of three numbers is 36. The first number is two times the second number, and the second number is
MakcuM [25]

Answer:

o (16, 8, 12)

Step-by-step explanation:

1st number: 8*2 =16

2nd number:12-4=8

3rd number: given

7 0
3 years ago
Read 2 more answers
Hellp meee please I’m about to fail this subject!
elixir [45]

Answer:

So first you have to do 12-2 since it's in parenthesis. It is 10. 5+4 is 9, and 9 times 10 is 90. 3 squared is 9, then you divide 90 by 9. The answer is 10.

4 0
3 years ago
Read 2 more answers
Mr. Blue drove from Allston to Brockton, a distance of 105 miles. On his way back, he increased his speed by 10 mph. If the jour
andrew-mc [135]

Answer:

His original speed was 60 mph.

Step-by-step explanation:

The average speed formula is shown below:

speed = distance / time

For the first leg of the trip Mr. Blue drove at a speed of "x" mph, for a distance of 105 miles, therefore the time that took to complete the trip is:

time 1 = distance / speed

time 1 = 105 / x h

On the second leg of the trip Mr. Blue drove faster at a speed of "x + 10" mph, so the time it took him to complete the trip was 15 minutes less, therfore:

time 2 = time1 - (15/60) = (105/x) - 0.25 = (105 - 0.25*x)/x h

Applyint the time and speed from the second leg to the average speed formula we have:

x + 10 = {105/[(105 - 0.25*x)/x]}

x + 10 = 105*x/(105 - 0.25*x)

(x + 10)*(105 - 0.25*x) = 105*x

105*x + 1050 -0.25*x² - 2.5*x = 105*x

-0.25*x² -2.5*x + 1050 = 0 /(-0.25)

x² + 10*x - 4200 = 0

x1 = [-(10) + sqrt((10)² - 4*(1)*(-4200))]/2 = 60

x2 = [-(10) - sqrt((10)² - 4*(1)*(-4200))]/2 = -70

Since his speed couldn't be negative the only possible value was 60 mph.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose that g(x) = f(x-2) + 7. Which statement best compares the graph of
    7·1 answer
  • Tina is finding the quotient of. Is she correct? If not, what changes should be made?
    12·1 answer
  • The grid shows figure Q and it’s image figure Q’ after a transformation:
    10·1 answer
  • When the point (3,k) lies on each of these lines, find the value of k.
    10·1 answer
  • Samantha has 8 blue shirts, 4 red shirts, and 6 white shirts. What is the ratio of red shirts to the total number of shirts?
    12·1 answer
  • Choose the correct graph of the following condition.<br> {(x, y) : x = 4) o [(x,y): y = 4)
    11·1 answer
  • How do I solve this? I’m receiving steps which aren’t clear and I’m getting stuck in them.
    13·1 answer
  • Factor the polynomial: 3x^2 - 9x - 30
    12·2 answers
  • 19 is greater than the sum the number n and 3
    10·1 answer
  • Ed made stacks of 1, 2, 2, 4 and 6 blocks.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!