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
devlian [24]
3 years ago
14

If the first term in an arithmetic sequence is –3 and the tenth term is 15, what is the common difference?

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Given that the First term of the Arithmetic sequence = -3

⇒ a = -3

We know that nth term of a Arithmetic sequence is : Tn = a + (n - 1)d

where a is the first term and d is the common difference

Given that 10th term is 15

⇒ T₁₀ = -3 + (10 - 1)d

⇒ -3 + (10 - 1)d = 15

⇒ 9d = 18

⇒ d = 2

⇒ Common difference of given Arithmetic Sequence is 2

You might be interested in
You ride your bike at an average of 12 miles per hour on the way to school, and at an average of 15 miles per hour on the way ho
-Dominant- [34]

Answer:

2.44 miles

Step-by-step explanation:

Give the following :

Average miles to school = 12 miles per hour

Average Miles from school = 15 miles per hour

Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667

Recall:

Speed = distance / Time

Time = distance / speed

Let distance = d

For the scenario described :

d/12 + d/15 = 0.3667

(5d + 4d) / 60 = 0.3667

5d + 4d = 22

9d = 22

d = 22/9

d = 2.44 miles

6 0
3 years ago
Help me please I'm stuck! With the first column
frosja888 [35]
1. \frac{n}{4}

2. -2+5n or 5n-2

3. (12s)+150 where s=number of students

4. 3(32)+1(53)=96+53=159 per hour, so 159h

9. √105 is irrational, -4 is an integer, 4/3 is a rational number, order is -4,3/4, √105

10. 3²=9, 4²=16, so between 3 and 4, but closer to 4, so √14≈4

11. that is the associative property, it deals with moving parentahees around

12. 2(6.25)+1(5.50)+2(2.75)=2(6.25+2.75)+1(5.50)=2(9)+5.5=18+5.5=23.5

13. yes, because they are both 2 less than 3 times of a number

14. maybe 18 times 3, so (4²+2) times 3=54
5 0
3 years ago
*One half of two fifths of x.
Nataly_w [17]

Answer:

one half of two fifths of x would be equivalent to one fifth of x

3 0
3 years ago
During the course of a 2,185 mile trip, the Archetti's used 5 full tanks of gasoline. The gas tank of their car holds 23 gallons
Pepsi [2]

Okay, let's use some math..

So multiply first..

2.99 * 5 = $14.95 that she has spent on gas..

23 / 5 = 4.6 gallons of gas left..

But this question is asking how much she had spent on gas, so your answer will be..
She has spent $14.95 on gas..

You can correct me if I'm wrong..

I hope this helps you!
6 0
3 years ago
What is StartFraction pi Over 3 EndFraction radians converted to degrees? If necessary, round your answer to the nearest degree.
Oliga [24]

Answer: 60°

Step-by-step explanation:

π/3

Since π is denoted as 180°, the question can be rewritten as:

π/3 .

To convert π/3 radians to the nearest degree will be:

π/3 = 180/3

= 60°

4 0
3 years ago
Read 2 more answers
Other questions:
  • |2x− 3/4| =5 6/7 FIND ANSWER CORRECT = BRAINLIEST NO WORK NEEDED
    15·1 answer
  • Can someone help me
    11·1 answer
  • 64/9 into a mixed number
    8·2 answers
  • Help QUICK I HAVE 17 MIN LEFT WILL GIVE BRAINLIEST​
    8·1 answer
  • Pleaseee help with math 6th
    11·1 answer
  • -3 1/2 x + 3.5 - x + 6.25
    9·2 answers
  • Answ please brainleites
    9·1 answer
  • What is the sum of 4 and -5​
    11·1 answer
  • Students at a middle school were surveyed on how they get to school. Out of 230 students, 10% said they ride their bikes to scho
    5·1 answer
  • Tom brought a $20 bill to the grocery store. He bought a gallon of milk for $3.50 and a box of cookies for $4.25. How much money
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!