Answer:
x=2c/3+1
Step-by-step explanation:
First, subtract 2c from both sides.
−3x=−3−2c
The equation has been transformed into standard form.
−3x=−2c−3
Next, divide both sides by −3.
-3x/-3=-2c-3/-3
Dividing by −3 negates the multiplication by −3.
x=-2c-3/-3
Finally, divide −3−2c by −3.
x=2c/3+1
Answer:
y = 22.5 - 0.2t
Step-by-step explanation:
The given information includes;
total weight of the candle, n = 22.5 ounces
Candle burn rate, R = 1 ounce every 5 hours 
The remaining candle amount is calculated as initial amount minus burnt amount
Let the remaining amount be y
y = 22.5 - 0.2t
where;
t represents the time the candle has been burning
Therefore, the equation for the leftover candle is expressed as;
y = 22.5 - 0.2t
Insert 50 for y and solve for x.
5x + 10 (50) = 800
5x + 500 = 800
5x = 800 - 500
5x = 300
x = 300 ÷ 5
x = 60
Answer:
Noah’s average: 87
Noah’s median: 85.5
Noah’s mode: 85
Gabriel’s average: 87.17
Gabriel’s median: 86
Gabriel’s mode: 86
Step-by-step explanation:
The mean is calculated as (total/number of items), or the average.
The median refers to the central value in a dataset.
The mode represents the number that appears most frequently.
To address this issue, we will utilize the formula for determining the distance from a point to a line.
The formula is:
distance = | a x + b y + c | / sqrt (a^2 + b^2)
We have the line equation:
y = 2 x + 4
Rearranging it results in:
<span>y – 2 x – 4 = 0 -->
a = -2, b = 1, c = -4</span>
The coordinates given are:
(-4, 11) = (x, y)
Substituting into the distance formula:
distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]
distance = 15 / sqrt (5)
distance ≈ 6.7
<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>
