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Lelu [443]
1 year ago
10

The sum of 2, 6, and a number amounts to 15. Find the number.

Mathematics
1 answer:
ikadub [295]1 year ago
8 0
Given the numbers, let’s set up an equation:

2 + 6 + n = 15

We can solve this using steps:

1. Simplify

8 + n = 15

2. Subtract 8 from both sides

(8 - 8) + n = 15 - 8

3. Simplify

n = 7

Let’s plug in 7 to see if it makes sense:

2 + 6 + 7 = 15

Because this equation is true, we have found our number.

Our unknown number is 7.
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Find the sum of the first 20 terms of the arithmetic sequence 4, 10, 16, 22....
hammer [34]

n = 20

d = 6

a = 4

L = a + (n - 1)*d

L = 4 + (20 - 1)*6

L = 4 + 19*6

L = 118

Sum = (a + L)*n/2

Sum = (4 + 118) * 20/2

Sum = 122 * 10

Sum = 1220

3 0
3 years ago
8.
lukranit [14]

Answer:

4

Step-by-step explanation:

The y-coordinate of the point where both lines intersect will give us the same solution for x.

At y = 4, both equations will have a corresponding x-value of 1.

Therefore, the value of y that that will make both equations have the same solution of x is 4.

7 0
3 years ago
3/2 p - 14 = p + 13 <br> Please help
VLD [36.1K]

Answer:

p=54 hope this helps

Step-by-step explanation:

4 0
2 years ago
What is the sum of the first 20 terms of the arithmetic sequence shown? \displaystyle \frac{1}{3} 3 1 ​ , \displaystyle \frac{2}
Murrr4er [49]

Answer:

70

Step-by-step explanation:

a_1 = First term = \dfrac{1}{3}

d = Common difference = \dfrac{2}{3}-\dfrac{1}{3}=\dfrac{1}{3}

n = Number of terms = 20

Sum of arithmetic progression is given by

S=\dfrac{n}{2}[2a_1+(n-1)d]\\\Rightarrow S=\dfrac{20}{2}\times (2\times \dfrac{1}{3}+(20-1)\dfrac{1}{3})\\\Rightarrow S=70

The sum of the first 20 terms of the arithmetic sequence is 70.

5 0
3 years ago
Dobby the house-elf has dropped all his socks on the floor in the middle of the night! He has 30 red socks, 22 gold socks and 14
Ugo [173]
There is a total of 66 socks on the floor the chance of picking up a red sock is 30 in 66 which is equal to a 45% chance.  After picking up one sock the chances of getting another red sock is 29 in 65 which is around 44%.  Now I believe your answer is 45% or around 30 socks.  I hope this helped but please let me know.
3 0
3 years ago
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