Answer: 10540 meters
Step-by-step explanation:
d(t) = 340t
to find how far it travels in 31 seconds, plug 31 into t
d(31) = 340 * 31
d(31) = 10540 meters
Answer:
104
Step-by-step explanation:
women = 8/8
men = 5/8
all workers = 8/8 + 5/8 = 13/8
extra women workers = 8/8 - 5/8 = 3/8
so...
3/8 = 24
13/8 = x
( cross multiplication method)
3/8 x = 39
x = 104
Hence, there are 104 workers
To find the slope of the line, first find the slope of 3x + y = 5, and then its opposite reciprocal.
3x + y = 5
y = -3x + 5
the slope of 3x + y = 5 is -3.
the slope is -3, so the opposite reciprocal slope is 1/3.
the equation of any line is y = ax + b
to find this line, y = 3, x = -9, and the slope is 1/3.
3 = -9a + b
3 = -9 (1/3) + b
3 = -3 +b
b = 6
substitute a and b into the equation
y = ax + b
y = 1/3x + 6
the equation of the line is y = 1/3x + 6.
Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answe
wariber [46]
Answer:
(a)




(b)




(c)


<em>They are not equal</em>
<em></em>
Step-by-step explanation:
Given



Solving (a):




B n C means common elements between B and C;
So:


So:

u means union (without repetition)
So:

Using the illustrations of u and n, we have:


Solve the bracket

Substitute the value of set C

Apply intersection rule


In above:

Solving A u C, we have:

Apply union rule

So:


<u>The equal sets</u>
We have:



So, the equal sets are:
and 
They both equal to 
So:

Solving (b):



So, we have:

Solve the bracket

Apply intersection rule


Solve the bracket

Apply union rule


Solve each bracket

Apply union rule

<u>The equal set</u>
We have:



So, the equal sets are:
and 
They both equal to 
So:

Solving (c):


This illustrates difference.
returns the elements in A and not B
Using that illustration, we have:

Solve the bracket


Similarly:



<em>They are not equal</em>