4)
12/16=21/b
multiply both sides by b
(12/16)b=21
now multiple both sides by (16/12)
b = 21 (16/12) =28
5)
rate is distance / time or time/distance
train travels 279 km per 1.5 hr =270/1.5
or
1.5 hr per 270 =1.5/27p
answer choice a and c matches that.
looking at choice C...270km/1.5hr=5hr/270km
looking at choice A.. 1.5hr/270km=5hr/k km
the units don't match for choice C so the
right answer is A
6)
1.5/270=5/k
multiply both sides by k
(1.5/270)k=21
now multiple both sides by (270/1.5)
k = (270/1.5)21= 900
7) 75 points per 6 game
75 points / 6 games
75/6=P/20
multiply both sides by 20
(75/6)20=P
P=250
Answer:
Option A is correct.
Step-by-step explanation:
We are given:

We need to find the value of a.
The LCM of (2+i) and (3+i) is (2+i)(3+i)

Now rationalize the denominator by multiplying by 5-5i/5-5i

We are given

Now after solving we have:

So value of a = 1/10 and value of b = -1/10
So, Option A is correct.
To start this, try to place it all together.
(x)+(x+2)+(x+4)=36
Then you start to combine so that it looks like this:
3x+6=36
I believe that is one of the choices. Do you need more explanation?
Answer:
<h2>
1.5</h2>
Step-by-step explanation:
We are given two points. Let the points be A and B
A ( 8 , -2 ) ------> ( x1 , y1 )
B ( 12 , 4 ) ------> ( x2 , y2 )
Now, let's find the slope of the given points:

plug the values

When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression

Subtract the numbers

Add the numbers

Reduce the fraction with 2


Hope this helps..
Best regards!!
Answer:
84
Step-by-step explanation:
0.5 · 7 · 24
0.5 · 168
84