Answer: 26 items
Step-by-step explanation:
Let x denotes the last year's output.
Given : A company has determined that it must increase production of a certain line of goods by 112 times last years production.
The new output will be 2885 items.
According to the above statement we have the following equation :-

Divide both sides by 112, we get

Hence, the last year's output =26 items
Answer:
Step-by-step explanation:
Alright, lets get started.
We have given the volume of a prism that is 2400 cubic centimeters.
we have not given which type of prism it is, so we are taking it as a rectangular prism.
The formula of volume of rectangular prism is :

Where l is length of base
w is width of base
h is height of prism
So, 
So, if we factor 2400 in two different manners, we could have two different dimensions of this prism having same volume that is 2400.
So, our first factor would be :

Means the prism has base of 20 and 20 centimeters and height of 6 centimeters.
Our second factor would be :

Means the prism has base of lenght 40 and width 30 and its height is 2 centimeters.
Hence we have two dimensions of prism, 20 20 6 and another one is 40 30 2. : Answer
Hope it will help :)
Answer:
Side = 12 cm, side = 5 cm, side = 8 cm
Step-by-step explanation:
a+c>b
a+b>c
c+b>a
To make all these statements true, the only set of number which works is 12, 5 and 8
Answer:
Step-by-step explanation:
Looking at our particular problem...let's identify everything that's going on here. What's inside the box are the coefficients from the original polynomial, with the last number being the constant. If we have 3 numbers there, which we do, then the first number is a coefficient on x², the second number is the coefficient on x, and the third number is the constant. So from that we know that our original polynomial was a 2nd degree, namely:
3x² + 7x - 20
The number outside the box is the number we are dividing into this original polynomial. This is a number in solution form. That means that x = -4. If
x = -4 is a solution, then the factor is (x + 4) = 0.
The numbers in the very bottom row are the coefficients of what is called the depressed polynomial, and this depressed polynomial is one degree less than the degree with which we started. So this depressed polynomial is a linear one (first degree, which is a line). The very last number in this bottom row is the remainder. If the remainder is 0, then -4 is a solution of the polynomial, it is also a 0, and (x + 4) is a factor of the polynomial. Our remainder is a 0.
So putting that all together gives us the answers as A, C, and E are our choices.