Answer:
7
Step-by-step explanation:
7x + 68 = 2x + 103
Subtract 2x from each side
5x + 68 = 103
Subtract 68 from each side
5x = 35
divide 5 from 35 and you get X = 7
Answer for number 4 is hour.
Step-by-step explanation:
Maximum hour spent for all homework (English homework + math homework) is 2 hours.
Let us assume the hours spent for English homework be 'e'.
It is given that:
(Hours spent for math homework) = 2 × (Hours spent for English homework)
Hours spent for math homework = 2 × e = 2e
Total hours spent = (Hours spent for math homework) + (Hours spent for English homework)
Total hours spent = 2e + e = 3e
2 = 3e
3e = 2
∴ e =
Therefore number of hours spent on English homework is equal to hours.
We have the supplementary angles.
The sum of the measures of the two Supplementary Angles is 180°.
Therefore we have the equation:
13x - 2 + 39 = 180
13x + 37 = 180 <em>subtract 37 from both sides</em>
13x = 143 <em>divide both sides by 13</em>
<em>x = 11</em>
<h3>Answer: 11</h3>
In mathematics, number sequencing of the same pattern are called progression. There are three types of progression: arithmetic, harmonic and geometric. The pattern in arithmetic is called common difference, while the pattern in geometric is called common ratio. Harmonic progression is just the reciprocal of the arithmetic sequence.
The common ratio is denoted as r. For values of r<1, the sum of the infinite series is equal to
S∞ = A₁/(1-r), where A1 is the first term of the sequence. Substituting A₁=65 and r=1/6:
S∞ = A₁/(1-r) = 65/(1-1/6)
S∞ = 78
Answer: 52 minutes, 416 links
Step-by-step explanation:
8*20=160
13-8=5
160/5=32
32+20=52
52*8=416