Answer:
<em>120 minutes or 2 hours</em>
Step-by-step explanation:
<u>Proportions</u>
The method to solve the problem is to compute how many cans produce each machine per minute, then add them to obtain the total cans produced by both. Finally, we compute the time to produce 4200 cans at that level of production.
The newer machine produces 4200 cans in 210 minutes, it means it produces
=20 cans per minute
The older machine needs 280 minutes to produce the same 4200 cans, to it produces
= 15 cans per minute
Together, they produce 20+15=35 cans per minute. Thus, to produce 4200 cans, they need
= 120 minutes or 2 hours
Answer:
x=1.33 repeating or 1 1/3
Step-by-step explanation:
You take 4 and distribute to everything in the parentheses.
You also do the same for the -4.
After you distribute, you should get: 4x+24=-8x+36+3x
Then you combine like terms (the two x's on the right side of the equation.
You should then get: 4x+24=-5x+36
Next, you subtract 24 from the positive 24, to cancel it out, and the 36 to get 12.
Then, add 5x to the negative 5x, to cancel it out, and to the 4x to get 9x.
Finally, you divide 12 by 9 to get 1.33 repeating or 1 1/3.
Answer:
True.
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We can simply plug in the 3 variables to see if it forms a Pythagorean Triple:
6² + 13² = 14.32²
36 + 169 = 205.062
205 = 205 (rounded), so True.