Answer
You can multiply the first equation by 4 and the second equation by 3.
You can multiply the first equation by 4/3.
You can multiply the first equation by 3.
Explanation
When solving a system of equations by elimination, you want to add or subtract the equations to "get rid" of a variable.
To do that, one of the variables in both equations have to have the same coefficient.
The first answer possible gives x the coefficient of 12 for both equations. You would get 12x+4y=52 and 12x-9y=39. You could subtract those equations to get 13y=13.
The second way gives x the coefficient of 4. You would multiply the first equation by 4/3 to get 4x+4/3y=52/3. You can subtract to get one variable, and then solve from there. Although, multiplying for 4/3 is annoying, so it's not suggested.
You can also "get rid" the the y. Multiply the first equation by 3 to get 9x+3y=39. You can add these equations. When you add 9x+3y=39 and 4x-3y=13 you get 13x=52.
Ah, this my friend, is actually easier than it looks. I promise. Sort of. XD
Alright, so let's start with the basics. You have two shapes that look congruent, and obviously ARE congruent, but how they are congruent can be different.
HIJ (Shape 1) is congruently equal to (~=) shape LKJ (The order does indeed matter) by what?
Well, in terms of congruency, you have about 8 different ways, I only remember 4.
SSS (Side, Side, Side)
SAS (Side, Angle, Side)
ASA (Angle, Side, Side)
AAA (Angle, Angle, Angle)
This means that whichever it is, each must be identified as congruent to the other. If it's SAS, you must know, for certain (not you personally, you can guess, but that's not what they want, they want you to know based on the info they give you) that there are 2 sides that are congruent, and 1 angle that are congruent. Same for all the others, just plug and play.
In the text, this question mentions that side HJ is congruently equal to JL. This means you have 1 set of sides identified as congruent.
The text ALSO mentions that angle H is also congruently equal to angle L. This means you now have 1 set of angles that are congruently equal.
So far, you know you have 1 congruent set of sides (S) and One congruent set of angles (A)
Now, you also can see that based on what we already know, HIJ extends to LKJ, meaning the other angle would ALSO be congruent.
This leaves you with "ASA" (Angle, Side, Angle), meaning 2 sets of angles are congruent, and 1 set of sides.
Your answer is A
~Hope this helps!
Answer:
The carrots can weight atmost 34.59 ounces so that it does not need to be repackaged.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 34 ounces
Standard Deviation, σ = 0.35 ounces
We are given that the distribution of weights of bags is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.045
Calculation the value from standard normal z table, we have,
Thus, the carrots can weight atmost 34.59 ounces so that it does not need to be repackaged.
