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kodGreya [7K]
3 years ago
8

What is the next term in the following series 1,1,2,3,5,8,_

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0
This is the famous Fibonacci frequence. it's by adding the 2 terms in front. like 2 + 3, so the next term is 5. and 5+ 8, the next term is 13.
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A taxicab charges $1.75 for the flat fee and $0.25 for each mile. write an inequality to determine how many miles eddie can trav
aev [14]

The correct option is a. $1.75 + $0.25x ≤ $15; x < 53 miles.

The inequality that represents given situation is $1.75 + $0.25x ≤ $15.

<h3>What is inequalities?</h3>

An inequality compares the two values to determine if one is less than, larger than, or simply simply equal to the other.

  • a ≠ b indicates that an is not equal to b.
  • a < b indicates that an is less than b.
  • The expression a > b indicates that an is greater than b. (those two are called as strict inequality)
  • a ≤ b signifies that an is less than or equal to b.
  • The expression a ≥ b denotes that an is greater than or equal to b.

Now for the given question;

A cab charges $1.75 for the flat fee.

And, the cab charges $0.25 for each mile.

Total amount spent by Eddie is 1$15.

So, first and foremost. Because you have to pay the fixed charge and then pay for x miles is $0.25.

Thus, (15-1.75) / 0.25 = 53.

Therefore, the inequalities which describes the given scenario is;

$1.75 + $0.25x ≤ $15

where, x < 53 miles.

To know more about the inequalities, here

brainly.com/question/11613554

#SPJ4

The correct question is-

A cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend.

a. $1.75 + $0.25x ≤ $15; x ≤ 53 miles

b. $1.75 + $0.25x ≥ $15; x ≥ 53 miles

c. $0.25 + $1.75x ≤ $15; x ≤ 8 miles

d. $0.25 + $1.75x ≥ $15; x ≥ 8 miles

3 0
1 year ago
Read 2 more answers
A helicopter is flying above a town. the local high school is directly to the east of the helicopter at a 20° angle of depressio
guapka [62]
Answer: 4.5 miles

Explanation:

When you draw the situation you find two triangles.

1) Triangle to the east of the helicopter

a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°

b) hypotensue = distance between the high school and the helicopter

c) opposite-leg to angle 20° = heigth of the helicopter

d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x

2) triangle to the west of the helicopter

a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°

b)  distance between the helicopter and the elementary school = hypotenuse

c) opposite-leg to angle 62° = height of the helicopter

d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x

3) tangent ratios

a) triangle with the helicpoter and the high school

tan 20° = Height / x ⇒ height = x tan 20°

b) triangle with the helicopter and the elementary school

tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°

c) equal the height from both triangles:

x tan 20° = (5 - x) tan 62°

x tan 20° = 5 tan 62° - x tan 62°

x tan 20° + x tan 62° = 5 tan 62°

x  (tan 20° + tan 62°) = 5 tan 62°

⇒ x = 5 tant 62° / ( tan 20° + tan 62°)

⇒ x = 4,19 miles

=> height = x tan 20° = 4,19 tan 20° = 1,525 miles

4) Calculate the hypotenuse of this triangle:

hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²

hipotenuse = 4.46 miles

Rounded to the nearest tenth = 4.5 miles

That is the distance between the helicopter and the high school.
5 0
3 years ago
Read 2 more answers
Dominick spent 2 3/4 hours on his art project Rachel worked one and 1/3 times as long on her art project as Dominick worked for
inna [77]
Answer is Rachel worked 3 2/3 hours

Step by step

Dominic worked 2 3/4 hours

Rachel worked (1 1/3) times (2 3/4)

1 1/3 x 2 3/4. Change into an improper fraction

4/3 x 11/4. multiply across

44/12

Simplify

= 3 2/3
6 0
1 year ago
what is the answer to this question: Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together,
monitta

Answer:

  • Tadeo: 12 hours
  • Dylan: 2 hours

Step-by-step explanation:

We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...

  d +6d = 14

  7d = 14 . . . . . . collect terms

  d = 2 . . . . . . . divide by the coefficient of d

  6d = 6(2) = 12

Tadeo volunteered 12 hours; Dylan volunteered 2 hours.

4 0
2 years ago
Please answer the following its urgent 2 and 3
astraxan [27]

Answer:

im sorry but i had a similar question and im also struggling ;(

Step-by-step explanation:

5 0
3 years ago
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