Answer:
The answer is below
Step-by-step explanation:
Let us assume the rate of printing in machine A is x per hour and the rate for machine B is y. Given that machine B prints at half the rate of machine A, therefore:
y = (1/2)x (1)
Also, both machine produces 200 newspaper printouts, and both operate at different times for a total of 4 hours. Therefore:
200/x + 200/y = 4 (2)
Put y = (1/2)x in equation:
Put x = 150 in equation y:
y=(1/2)150 = 75
Therefore the rate of machine A is 150 newspapers per hour while that of machine B is 75 newspapers per hour
Answer:
=5x+3
Step-by-step explanation:
Hope this helps!
Factors of 80: 1,2,4,5,8,10,16,20,40,80
so we cross out 1,2,4,5,8,10,16
the first 5 multiples of 3 are: 3,6,9,12,15
so we cross out those number and then we are left with 7, 11, 13 and 14
the answer is: 4 numbers were not crossed out
If 1 cup of chocolate chips weighs about 6 ounces
The recipe calls for 3 1/4 cups of chocolate chips.
We need to multiply 6 by 3 which is 18 ounces plus the 1/4 which is 6 times 1/4 = 1.5 ounces
18 + 1.5 = 19.5 ounces of chocolate chip needed
---Multiply a x c
Quadratic Form: ax^2 + bx + c
4 x -25 = -100
---Find a factor pair of -100 that adds up to -15
-20 x 5 = - 100
-20 + 5 = -15
---Separate the b term into your two factors
4n^2 + 5n - 20n - 25
This can take some trial and error (though there are only two options) because when you factor, you want the inside of the parentheses to be the same. If you look at the next step, (4n + 5) appears twice.
---Factor each binomial
n(4n + 5) - 5 (4n + 5)
---Rewrite
(n - 5)(4n + 5)
What you're really doing here is factoring out the (4n + 5), which leaves you with the terms that you factored out in the previous step. You then combine these terms into one set of parenthesis.
Answer: (n - 5)(4n + 5)
Hope this helps!