The machines represent equivalent expressions.
The output produced by both machines is 372
The equation represented on machine A is:
The equation represented on machine B is:
Where: x and y represent the inputs and the outputs, respectively
When the outputs are the same, it means:
So, we have:
Open brackets
Collect like terms
Divide both sides by 2
Substitute 39 for x in
Hence, the output produced by both machines is 372
Read more about equivalent expressions at:
brainly.com/question/15715866
If M is the midpoint of PQ, then PM and MQ are equal.
As PM and MQ are given , equal them to each other to solve for x.
7x+8=5x+20
Subtract 5x on both sides to get 2x+8=20
Subtract 8 on both sides to get 2x=12
divide by 2 on both sides to get x=6
Use the value of x=6 and plug it into the equations for PM and MQ to find their value.
PM=7x+8
=7(6) 8 =42 + 8 = 50
(you can already tell MQ is also 50 as PM and MQ are equal, but we still solve for MQ just for the fun of it)
MQ=5x + 20
=5(6) +20=30+20=50
PM=50
MQ=50
PQ= PM + MQ= 50 + 50 = 100
Have a great night.
Answer:
100 in = 180 out
107 in = 187 out
117 in = 197 out
Step-by-step explanation:
we know that when there was 102 in, there was 185 out. we can also see that when there's 105 in, there was 185 out. the system outputs the input + 80
100 + 80 = 180
107 + 80 = 187
117 + 80 = 197
Answer:
594 > -11n
Step-by-step explanation:
The solution is
n > -54
Multiply both sides by -11:
-11n < 594
which is the same as
594 > -11n
Let’s call the # of blue balloons = B and the # of green balloons = G
We know that B + G = 21 balloons in total, and that the ratio of B:G = 4:3
From there, we can see that if B/G = 4/3, 3B = 4G
Now, let’s substitute one for the other - since B +G = 21 → B = 21 - G
3 * (21 - G) = 4G → 63 - 3G = 4G → 63 = 7G → 9 = G
Since B + G = 21 and G = 9, there were 12 blue balloons at Kali’s party.
