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
Paul [167]
3 years ago
13

(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0
Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference

(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3

(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3
You might be interested in
Please help as soon as you can
dolphi86 [110]

Answer:

I KNOW I HAD IT BEFORE ITS C

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
In rectangle ABCD, find x and y.
soldier1979 [14.2K]
Answer: x=5 y=6

Step-by-step explanation: 6y=3× +21
6y-6=2× +20
Opposite sides of the rectangle are equal
Substitute 3x +21 into 6y in the second equation.



8 0
2 years ago
Solve the system of equations.in this form: (x, y)<br><br> -5y + 8x = -18<br><br> 5y + 2x = 58
Gre4nikov [31]
If we add the equations it looks like
-5y + 8x + 5y + 2x = -18+58
so 10x=40
so x=40/10=4
now let's replace x by 4 in the second equation
5y +2*4=58
5y=58-2*4=58-8=50
so y=50/5=10
so (x, y) = (2, 10)
5 0
3 years ago
Read 2 more answers
A hose fills a hot tub at a rate of 2.09 gallons per minute. How many hours will it take to fill a 327 gallon hot tub?
enyata [817]

Answer:

2.60 hours

Step-by-step explanation:

A hose fills a hot tub at a rate of ,

2.09 gallons ⇒ 1 minute

Now we have to find the time which takes to fill a 327 gallon hot tub.

For that, let the unknown time be x.

So,

2.09 gallons ⇒ 1 minute

327 gallon    ⇒  x

Use cross multiplication to find the value of x.

2.09 x  =  327 × 1

2.09x   = 327

x   = 327 ÷ 2.09

x   = 156.45 min

Therefore, it takes 156.45 minutes.

But the question is asked for hours.

So,

Let us solve now.

156.45 ÷ 60 = 2.60 hours

Let me know if you have any other questions :-)

7 0
2 years ago
Read 2 more answers
If Upper A equals StartSet x | x is an even integer EndSet commaA={x | x is an even integer}, Upper B equals StartSet x | x is a
White raven [17]

Answer:

C ∪ D = {2, 3, 4, 5, 8, 9, 10, 11}

Step-by-step explanation:

A={x | x is an even integer}

B={x | x is an odd integer},

C={2, 3, 4, 5},

D={8, 9, 10, 11}.

A union of two or more sets is the collection of the members of the sets in a set without repeating any element.

Given sets C and D above, the union of the two sets is the set:

C ∪ D = {2, 3, 4, 5, 8, 9, 10, 11}

Note: The Intersection is the collection of sets that are common to C and D. in this case no element is common, therefore the intersection is a Null Set.

8 0
3 years ago
Other questions:
  • Please hurry need help!!
    9·2 answers
  • Your used car payment will be $250 per month. What financial challenge do you now face?
    8·2 answers
  • A Ferris wheel has a radius of 48 feet. What is the distance a passenger will travel one time around the Ferris wheel?______ fee
    6·1 answer
  • Can Someone help me with this question?
    12·1 answer
  • Type your answer in decimal form. Do not round.<br><br> 230 ounces = <br> how many cups
    5·2 answers
  • What is the reason for each step in the solution of the equation?<br> -62 +72 +14=3
    12·1 answer
  • ANSWER QUICKLY: This is a surface area question​
    10·1 answer
  • A rectangular room is 6 meters longer than it is wide, and its perimeter is 28
    15·1 answer
  • A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser
    5·1 answer
  • PLS HELP GUYS PLSSSS !!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!