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
Dahasolnce [82]
2 years ago
11

The distances of a port from 20 differ- ent locations form an AP. If the farthest distance is 300 km, and the nearest distance i

s 30 km, what is the distance between any two successive locations? ?​
Mathematics
1 answer:
Mkey [24]2 years ago
5 0

Answer:

Required difference = 270/19 km

Step-by-step explanation:

If we consider the AP of distances to be

a, a + r, a + 2r, ..., a + 19r,

where a is the distance of the nearest location from the port and r is the difference between any two successive location.

Given that,

a + 19r = 300 .....(1)

a = 30 ..... (2)

Using (2), from (1), we get

30 + 19r = 300

or, 19r = 300 - 30

or, 19r = 270

or, r = 270/19

Therefore the distance between any two successive location is 270/19 km.

You might be interested in
Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3
exis [7]

Answer:

512

Step-by-step explanation:

when q = 2, w = 3

4q(q + 3w)^2

= 4(2) ((2)+3(3))^2

= 512

6 0
2 years ago
Select the expression that is equivalent to: 3 root 1089
Delicious77 [7]

Answer:

3\sqrt{1089}=3\sqrt{3^2(11)^2}

Step-by-step explanation:

Given : Expression 3\sqrt{1089}

To find : Select the expression that is equivalent to expression ?

Solution :

Re-write the expression as,

3\sqrt{1089}=3\sqrt{3\times 3\times 11\times 11}

3\sqrt{1089}=3\sqrt{3^2\times 11^2}

3\sqrt{1089}=3\sqrt{(3\times 11)^2}

3\sqrt{1089}=3\sqrt{(33)^2}

3\sqrt{1089}=3\times 33

3\sqrt{1089}=99

The above are the possible equivalent expressions.

7 0
2 years ago
Read 2 more answers
14. Given the function f(x) = 3x -9, what is the value of f(6)?
ryzh [129]

Answer:

f(6) = 3(6) - 9

Step-by-step explanation:

y = 3(6) - 9

y = 18 - 9

y / f(x) = 9

4 0
3 years ago
Can you please help thxs.
11Alexandr11 [23.1K]

Answer:

9072 or 47

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
(2 to the power -1 ÷ 5 to the power- 1)2 × -5/8 to the power -1​
Luba_88 [7]

Answer:

-8

Step-by-step explanation

2 to the power of -1 = 0.5

5 to the power of -1 = 0.2

0.5/0.2 = 2.5

So,

(2.5)2 x -5/8 to the power of -1

-5/8 = -0.625

-0.625 to the power of -1 = -1.6

So,

(2.5)2 x -0.625

5 x -0.625

= -8

8 0
3 years ago
Read 2 more answers
Other questions:
  • We solving a system of equations Jerry found out why equals X PlayStation for one equation is said to express team for why in th
    9·2 answers
  • Which point is the solution to the following system of equations?
    15·2 answers
  • Find the surface area.<br> I need a short explanation.
    12·1 answer
  • the circumference of a circle is 11pi inches. what is the area, in square inches, of the circle? express in terms of pi.
    7·2 answers
  • I need help. What is 9 - 3 / 1/3 + 1?
    14·2 answers
  • Please!!!!!!!!! help!!!! me!!!!!!!!!!
    7·2 answers
  • If h(x) = 4x − 8 and j(x) = −x, solve h[j(3)] and select the correct answer below. (1 point) −20 −36 1 4
    10·2 answers
  • I need some help with this worksheet! Major points !!! . (not good with percentages)
    15·1 answer
  • Helpppppppppppppppppppppppppppppp
    15·1 answer
  • You are in a hot air balloon that is 600 feet above the ground where you can see your friend. If the angle from your line of sig
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!