Answer:
The y-intercept for line MN is 2
The standard form of the equation is revealed as ⇒ x + y = 2
Step-by-step elucidation:
Coordinates marking the ends of line MN → M(-3, 5) and N(2, 0)
The slope of the line was computed as 
= 
= -1
For line MN which passes through (-3, 5) with a slope of -1, the equation formulated is given by
y - 5 = (-1)(x + 3)
This simplifies to
y - 5 = -x - 3
Thus resulting in
y = -x + 2
Here the equation appears in the y-intercept form of
y = mx + b
where m represents the slope of the line and b denotes the y-intercept
So, consequently, the y-intercept for line MN is 2
The equation generates in the standard form as
x + y = 2
[[TAG_59]][[TAG_60]][[TAG_61]]
<span>Real numbers can be either rational or irrational.
sqrt(13) ≈ 3.60555
sqrt(14) ≈ 3.74166
A simple nearby rational approximation is 3.7 = 37/10.
An example of an irrational number between them is sqrt(27/2).</span>
Answer: 0.12
Step-by-step explanation:
There are a total of 65 candy bars. Within this amount;
2 candy bars contain 300 to 350 calories
1 candy bar contains 350 to 400 calories
4 candy bars contain 400 to 450 calories
1 candy bar contains 450 to 500 calories
Thus, the overall ratio of candy bars with more than 300 calories is;
= (2 + 1 + 4 + 1) / 65
= 8/65
= 0.12
Response:
Step-by-step explanation:
To calculate 5% of our number, we start by multiplying by 0.05
Next, by adding and subtracting this 5% from our original number, we can find the minimum and maximum possible values of our final answer in the specified range.
We can ascertain that 
fits within the acceptable range, as:
Therefore, our final answer will be:
Answer:
Darnell reads 1,715 words in 7 minutes.
Step by step Explanation:
1. First, determine how many words he can read in a minute by dividing 735 words by 3. The result is 245.
245
______
3)735
6 drop the 3 to form 13
-_____
1 3
12 drop the 5 to make 15
-______
1 5
15
___________
0
2. Next, since he reads 735 words over 3 minutes, multiply that by 2 to find words read in 7 minutes: 3×2=6, thus, 735+735 (735×2) equals 1,470 words.
3. Finally, add 245 to account for the last minute we calculated. Therefore, the total is 1,715 words in 7 minutes.
