Let <em>x</em> be the first number in the sequence. Then the first three numbers are
{<em>x</em>, <em>x</em> + 3, <em>x</em> + 6}
The next sentence says that the sequence
{<em>x</em> + 1, <em>x</em> + 9, <em>x</em> + 25}
is geometric, which means there is some fixed number <em>r</em> for which
<em>x</em> + 9 = <em>r</em> (<em>x</em> + 1)
<em>x</em> + 25 = <em>r</em> (<em>x</em> + 9)
Solve for <em>r</em> :
<em>r</em> = (<em>x</em> + 9)/(<em>x</em> + 1) = (<em>x</em> + 25)/(<em>x</em> + 9)
Solve for <em>x</em> :
(<em>x</em> + 9)² = (<em>x</em> + 25) (<em>x</em> + 1)
<em>x</em> ² + 18<em>x</em> + 81 = <em>x</em> ² + 26<em>x</em> + 25
8<em>x</em> = 56
<em>x</em> = 7
Then the three numbers are
{7, 10, 13}
MY answer is #4 4.3 Times 107
Answer:
Part A: Suzanne bakes 350 in 5 hours and cole bakes 400 in 8 hours. Part B: cole can bake more then suzanne but Suzanne has more time to bake more, so i think suzanne bakes at a faster rate then cole
It would look like this: O=C=O
Hope this helps you out.
<span>x = 4
Given the description of the triangles, you have 2 similar right triangles. The smaller triangle has a height of 20 and a base of 3x, while the larger has a height of (20+8) = 28 and a base of 4x + 2. We wish to determine the value of x. Since the triangles are similar, the ratio of corresponding sides will be a constant. So:
20/28 = (3x)/(4x+2)
(4x+2)20/28 = (3x)
(20/28)*4x+(20/28)*2 = (3x)
(80/28)*x+(40/28) = (3x)
(20/7)*x + 4/7 = 3x
4/7 = 3x - (20/7)*x
4/7 = (21/7)x - (20/7)*x
4/7 = x/7
4 = x
So the value of x is 4.</span>