Answer:
3y = 2x + 24
Step-by-step explanation:
The correct question is as follows;
Write an equation of the line that goes through the point (6, 12) and has a slope of 2/3
Solution
Here, we have a point and a slope, and we want to write the equation of the line
The method we shall use here is the point slope method
Mathematically, that will be;
y-y1 = m(x-x1)
(x1,y1) = (6,12)
m = 2/3
y-12 = 2/3(x-6)
3(y-12) = 2(x-6)
3y-36 = 2x - 12
3y = 2x -12 + 36
3y = 2x + 24
Answer:
10x-15y
Step-by-step explanation:
So, when they say use the distrubutive property, they basically mean turning this:
a(b+c)
Into this:
ab+ac
So in this case, it would be:
5(2x-3y)
And we will turn it into:
10x-15y
ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:
2x*5
=
10x
And
-3y*5
=
-15y
Then we can combine these two:
10x-15y
Hope this helps!
<span>Chris' average speed is 3.5mph:
Lets take Chris' brother speed = B
then Chris speed = (B+ 1) mph-------given in the question
and:
The average speed for covering 18 miles= chris' average speed + his brother's
average speed = (B+ 1) + B
since Speed = Distance covered / time taken
then average speed for 18 miles can also be found by: 18 miles/3 hours = 6 miles per hour
then we have; (B+ 1) + B = 6mph
(B +1) = (6-B)
B+B = 6-1=5
2B=5
B=5/2=2.5 mph (this is Chris' brother average speed)
Hence Chris' average speed is = B+1= 2.5+1= 3.5mph</span>
Answer:
The number is -1
Step-by-step explanation:
The equation for the first part is (2n+7)2. This is because "twice a number" is 2n and "7 is added" will make it 2n+7. The "sum is multiplied by two" Is multiplying everything by two. This will make it (2n+7)
The second part is -8n+2. Since a number is multiplied by negative eight it will be -8n. Then it is added by two.
Both equation equal each other the overall equation will be (2n+7)2=-8n+2
You will distribute. making it 4n+14=-8n+2
Add 8n to both sides making it 12n+14=2
subtract 14 from both sides making it 12n=-12
Divide both sides by 12 . making it number=-1
Answer:
72.73% probability of selecting a girl, given the flip resulted inheads
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Coin resulted in heads
Student is selected at random from a class of six boys and sixteen girls.
Desired outcomes:
16 girls, so 
Total outcomes:
16+6 = 22, that is, 22 students, so 
Probability:
72.73% probability of selecting a girl, given the flip resulted inheads
