When getting from one consecutive number to another you have to add 1.
Ex. 4,5,6; to get from 4 to 5; 4 + 1 = 5; 4 + 2 = 6.
We set up the equation this same way except we don't know the starting point so we use x.
x + (x + 1) = (x + 2) = 93 Combine like terms
3x + 3 = 93 Subtract 3 from both sides
3x = 90 Divide both sides by 3
x = 30
x + 1 = 31
x + 2 = 32
The questions wants the greatest number so the answer is 32.
Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = - = -
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
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The n th term of an arithmetic sequence is
= + (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39
<h3>All options satisfies the given inequality</h3>
<em><u>Solution:</u></em>
Given that,
Here, modulus means that, the absolute value of a number is never negative
<em><u>Option A</u></em>
Substitute x = 2 and y = -9 in given
-9 is less than 7 is true
This forms a solution to given inequality
<em><u>Option B</u></em>
(-4, 12)
Substitute x = -4 and y = 12 in given
12 is less than 37 is true
This forms a solution to given inequality
<em><u>Option C</u></em>
(3, 15)
Substitute x = 3 and y = 15 in given
15 less than 46 is true
This forms a solution to given inequality
<em><u>Option D</u></em>
(0, 0)
Substitute x = 0 and y = 0 in given
0 is less than 1
This forms a solution to given inequality
Answer:
9000watts
Step-by-step explanation:
m=50kg
g=10
h=6
t=3
formula=work done×time
work done=m×g×h
Answer=m×g×h×t
50*10*6*3=9000watts