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
vredina [299]
3 years ago
7

Identify the 25th term of the arithmetic sequence 2, 1 and 3 over 5,

Mathematics
2 answers:
Katarina [22]3 years ago
5 0

-7 3/5 is the correct answer simplified.

raketka [301]3 years ago
3 0
First, you have to transform your numbers into proper fractions:
1 and 3/5 = (5+3)/5 = 8/5
1 and 1/5 = (5+1)/5 = 6/5

Therefore your arithmetic sequence is 2, 8/5, 6/5, ...

In an arithmetic sequence, the difference between a given term and the preceding one is equal to the difference between the <span>following </span>term and the given one. In your case:
d = 8/5 - 2 = (8-10)/5 = -2/5
As a prove: d = 6/5 - 8/5 = -2/5

Now, in order to find the 25th term you need to apply the formula:
an = a + (n - 1)d
where an is the number you are looking for, a is the first term, n is the term you are looking for and d is the distance.
Hence, 
a₂₅ = 2 + (25-1)(-2/5) = 2 - 24·2/5 = 2 - 48/5 = (10-48)/5 = -38/5
You might be interested in
6,7,8,8 and 10 need to be answered
Zarrin [17]
Number 6. 12 1/2 pt
Number 7. 7 qt
Number 8. 4 pt
Number 9. 2 pt 1 c
Number 10. 6 pt
5 0
3 years ago
A car travels 370 1/2 miles in 6 1/2 hours what is the average speed at which the car is traveling
Alex

Answer:

57 miles per hour

Step-by-step explanation:

Speed is equal to distance over time

I changed the fractions to decimals for ease of math

distance = 370 .5 miles

time = 6.5 hours

Speed = 370.5/6.5 = 57 miles/hour

7 0
3 years ago
Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Kobotan [32]

Answer:  $2 or $9

<u>Step-by-step explanation:</u>

Revenue (R) = $1800 , x = 1100 - 100p

R = xp

1800 = (1100 - 100p)p             <em>substituted x with 1100 - 100p</em>

1800 = 1100p - 100p²             <em>distributed p into 1100 - 100p</em>

100p² - 1100p + 1800 = 0       <em>added 100p² & subtracted 1100p</em> on both sides

     p² - 11p + 18 = 0                <em>divided both sides by 100</em>

(p - 2) (p - 9) = 0                     <em>factored quadratic equation</em>

p = 2  p = 9                         <em>applied Zero Product Property to solve for p</em>

<em />

6 0
3 years ago
2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai
nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}

\frac{1}{4} = \frac{15 + x + x}{x(15+x)}

\frac{1}{4} = \frac{15 + 2x}{x(15+x)}

Applying cross multiplication.

x^2 + 15x = 4(15 + 2x)

x^2 + 15x = 60 + 8x

x^2 + 7x - 60 = 0

Quadratic equation with a = 1, b = 7, c = -60. So

\Delta = 7^{2} - 4*1*60 = 289

x_{1} = \frac{-7 + \sqrt{289}}{2} = 5

x_{2} = \frac{-7 - \sqrt{289}}{2} = -12

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0
2 years ago
Me.perez drove a total of 40 miles in 5 days she drove the same number of miles each day.how many miles did me.perez drive each
ahrayia [7]

Answer:

She drove 8 miles each day.

Step-by-step explanation:

Given that she drove equal number of miles in 5 days. So in order to find the number of miles in each days, you have to divide it by 5,

5days = 40miles

1day = 40 \div 5

1day = 8miles

8 0
3 years ago
Other questions:
  • What is the distance between (-6,-2) and (0,-8)
    13·2 answers
  • Obtain expressions in component form for the position vectors having the following polar coordinates.(a) 12.0 m, 170 degrees cou
    11·1 answer
  • What is 100 • 100, using standard multiplication?
    9·2 answers
  • the bake stars picked 907 apples last weekend at a local orchard they made caramel apples and sold them in the bakery in trays o
    14·1 answer
  • Im not good at this kind of stuff can someone help me and explain it? thank you
    6·2 answers
  • Consider the expression –3(y – 5)2 – 9 + 7y.
    13·2 answers
  • !ANSWER QUICKLY PLEASE!
    12·1 answer
  • If 3n-4=8 then what is the value of 5n-3 <br>​
    14·2 answers
  • 27Kg 1/4g + 67Kg 1/3g =
    15·1 answer
  • Michael earns 20% commission on his total sales at work.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!