A) 3:11
b) 11:8
this should be correct
Answer:
Step-by-step explanation:
Ratio of businesses to cars= 3:5
Number of businesses= 30
Number of cars= Unknown
Let the number of cars be y
3/5 = 30/y
Cross multiply
3y = 30×5
3y = 150
y= 150/3
y= 50
Number of cars is 50
First work out the nth term then the 100th term:
the difference between the numbers is: 5
and that zero term is: -2
so the nth term is: 5n - 2
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now using the nth term we replace n with 100,
then we get: 498
the answer is the above in bold
hope it helped :)
Hey there!
Apply fraction cross multiply: if a/b = c/d , then a *d = b*c
2 ( 5x - 2 ) = ( 2x + 4 ) * 4
expand : 2 (5x-2 ) => 2*5x - 2*2 => 10x - 4
expand : ( 2x +4 ) * 4 => 2x * 4 + 4*4 => 8x + 16
10x - 4 = 8x+16
add 4 to both sides:
10x-4+4 = 8x+16+4
simplify :
10x = 8x + 20
subtract 8x from both sides:
10x -8x = 8x+20-8x
simplify:
2x = 20
Therefore:
x = 20 / 2
x = 10
Hope that helps!
Answer:
The set {x | x is an even prime number, x<150} has 1 element.
Step-by-step explanation:
Prime Numbers: The numbers which have no factors other than 1 and the number itself are called prime numbers.
Even Numbers are those numbers which are completely divisible by 2.
So, the only EVEN PRIME NUMBER = 2
Now, Set = {x | x is an even prime number, x<150}
So, the set has {2} as its only element.
Hence, the total elements in the set is 1.
Or, the set {x | x is an even prime number, x<150} has 1 element.
