Answer:
<h2>x = 9/17</h2>
Step-by-step explanation:
3(7x-1)=4x+6 distribute
21x - 3 = 4x + 6 combine similar terms
21x - 4x = 6 + 3 simplify
17x = 9
x = 9/17
Answer:
1380 households in Gettysburg are likely interested in using lawn care services
Step-by-step explanation:
To solve this question, we find the sample proportion and estimate for the entire population.
Sample proportion of households in Gettysburg that are likely to be interested in using lawn care services?
92 of 92 + 51 + 17 = 160 households.
92/160 = 0.575
Based on his results, how many households in Gettysburg are likely interested in using lawn care services?
Sample proportion of 0.575.
For the entire population of 2400 households:
0.575*2400 = 1380
1380 households in Gettysburg are likely interested in using lawn care services
Answer:
46%
Step-by-step explanation:
For percents, we want to make the number out of 100. 23/50 is the same as 46/100. From fraction knowledge, 46/100 is 46%.
$8.75 per scarf
26.25/3
= 8.75
9514 1404 393
Answer:
(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k
Step-by-step explanation:
To answer this question, you need to know two things:
1) the direction of vector v
2) the magnitude of vector u
__
<u>direction of v</u>
A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.
The unit vector in the v direction is ...
v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13
__
<u>magnitude of u</u>
The magnitude of vector u is ...
|u| = √(5² +(-2)² +3²) = √38
__
Then the desired vector is ...
(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k
_____
<em>Additional comment</em>
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
