Answer:
If your goal is to factor the expression then it would be:
2 (3x + 5)
If your goal is to simplify the expression then it would be:
6x + 10
Answer:
I must say i don't but i feel like it would be way easier then how my home school is doing it
Answer:
r = 0.0424 cm (3sf)
Step-by-step explanation:
it makes 150 rev/sec
1 revolution = 1 circumference = 2pi*r
so every second the spool goes through 2*pi*r*150 of distance
we know that the rate of pulling is 40cm/sec
so 2pi*r*150 = 40
r = 40/(2pi*150), which is 0.04244131816 cm.
check: Circumference is 2pi*r = 0.2666
now multiply by 150rev/sec = 40 cm/sec
Answer:
12 liters
Step-by-step explanation:
Let the solution with 30% acid solution be x litres
And the solution of with 70% alcohol to be y liters
X = Volume of 30% solution in liters
Y = Volume of 70% solution in liters
For acid solution,
30/100 × x = 0.3x
For alcohol solution,
70/100 × y = 0.7y
Since we need 54% of the combination of the 2 solutions: 54/100 = 0.54
The combination of the 2 solutions must give us 54 solutions combination and that is:
0.3x + 0.7y = 0.54(x+y)___ equation 2
X+y = 20_____ equation 1
solve the system of equations and we have:
From equation 2, x +y = 20
Therefore x = 20 -y
Replace the above in equation 2
0.3(20 - y) + 0.7y = 0.54(20)
6 - 0.3y + 0.7y = 10.8
Collect like terms
0.4y = 4.8
Y = 12 liters and that means 12 liters of 70% alcohol solution
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