Answer:
The people can sit in 1,152 possible ways if all men must sit together and all women must sit together.
Explanation:
The 4 men must sit together.
Number of ways to arrange the 4 men together
= 4! = 4 x 3 x 2 x 1 = 24
Similarly, the 4 women must sit together.
Number of ways to arrange the 4 women together
= 4! = 4 x 3 x 2 x 1 = 24
Now the 8 chairs are placed in a row. There are 2 ways to arrange the men and women: either the men must sit in the first 4 chairs and women in the last 4 chairs, or the women must sit in the first 4 chairs and men in the last 4 chairs.
Hence, total number of ways to arrange the 8 people
= 24 x 24 x 2
= 1,152
two hundred ninety-six ten thousandths
<span>437 = (21 + x)(21 - x), then x = 2, -2</span>
Answer:
$84.58
Step-by-step explanation:
You would do 9.95 times 8.5 which gives you 84.575 which in money case you round to two decimal places you keep the 5 but 7 you round to 8 because "5 or more you add one more"
Hope this helps
The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the perpendicular line will be given as
y = mx + c
The given equation is y = -5/2 x + 1.
The slope of the line is -5/2.
Then the product of the slope of the perpendicular lines is a negative one.
-5/2 × m = - 1
m = 2/5
Then the equation will be
y = 2/5 x + c
Then the equation is passing through (10, 3). Then we have
3 = 2/5 × 10 + c
3 = 2 + c
c = 1
Then the equation is y = 2/5 x + 1.
More about the linear system link is given below.
brainly.com/question/20379472
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