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lapo4ka [179]
3 years ago
11

WIll GIVE BRAINLYEST TO WHOEVER ANSWERS BOTH QUESTIONS FIRST CORRECTLY

Mathematics
1 answer:
omeli [17]3 years ago
6 0

Answer:

1. 8.4 in 2. 33.6  

Step-by-step explanation:

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the first term of an arithmetic sequence is 2 and the sum of the first 15 terms is 292.5. Find the common difference
adelina 88 [10]

Given:

First term of an arithmetic sequence is 2.

Sum of first 15 terms = 292.5

To find:

The common difference.

Solution:

We have,

First term: a=2

Sum of first 15 terms: S_{15}=292.5

The formula of sum of first n terms of an AP is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Where, a is first term and d is common difference.

Putting S_{15}=292.5, n=15 and a=2 in the above formula, we get

292.5=\dfrac{15}{2}[2(2)+(15-1)d]

292.5=\dfrac{15}{2}[4+14d]

292.5=15[2+7d]

Divide both sides by 15.

\dfrac{292.5}{15}=2+7d

19.5=2+7d

19.5-2=7d

17.5=7d

Dividing both sides by 7, we get

\dfrac{17.5}{7}=d

2.5=d

Therefore, the common difference is 2.5.

8 0
3 years ago
How do I find the answers to the surface are of the prism.
Darya [45]
Photomath


Explanation:
3 0
3 years ago
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How can you tell if a system of equations has infinite solutions?
kirill [66]
To tell if an equation has infinite solutions, the equation will be equal to each other.

For example,

x = x
x + 1 = x + 1
x - y = x - y

And so on...

And in special cases,

0x = 0
0x = 0(y + 1)

They have infinite solutions because there's no constant to determine the variable.
4 0
3 years ago
Simplify<br> ( 3w + 7 ) + ( 2w + 5)
valentina_108 [34]

Answer:

The answer is 5w+12.

Step-by-step explanation:

Combine like terms:

(3w+7)+(2w+5)

5w+12

6 0
3 years ago
A family spent $93 at a carnival. They spent $18 on tickets to the carnival and $36 on food.They spent the rest of the money on
k0ka [10]

Answer:

$93-$18-$36=$39

$39

Step-by-step explanation:

8 0
3 years ago
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