Which graph represents the solution for the equation 4 3 x + 2 = 5x? A) A B) B C) C D) D
2 answers:
Answer:
A) A
Step-by-step explanation:
The equation of a line is given by
where
m is the slope of the curve
q is the y-intercept of the curve
The two lines given in the problem are:
--> slope of 4/3 and y-intercept of +2
--> slope of 5 and y-intercept of 0
By exclusion, we see that the correct answer is A. In fact:
- Option B is wrong, because one of the two lines has negative slope, while the two lines given in the problem have both positive slope
- Option C is wrong, because one of the two lines is flat (slope=0), while none of the two lines given in the problem has a slope of zero
- Option D is wrong, because again one of the two lines has negative slope
Option A is the correct one: in fact, we see that the black line has an y-intercept of +2 and a slope of 4/3, while the green line has a slope of 5 and an y-intercept of zero.
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Total mass in grams of the carton and the 4 boxes is 18.5 kg .
<u>Step-by-step explanation:</u>
Here we have , Monica has 4 boxes to place in an empty carton the mass of each box is 4.5 kilograms the mass of the carton is 500 grams.
We need to find the total mass in grams of the carton and the 4 boxes . Let's find out:
Total mass = Mass of 4 boxes + Mass of empty carton
Mass of 1 box = 4.5 kg
Mass of 4 boxes =
Mass of 4 boxes =
Mass of empty carton = = 0.5 kg
⇒ Total mass = Mass of 4 boxes + Mass of empty carton
⇒ Total mass =
⇒ Total mass =
Therefore, total mass in grams of the carton and the 4 boxes is 18.5 kg.