Answer:
Step-by-step explanation:
First, rewrite the given equation in the form of y=mx+c.
m is the gradient while c is the y-intercept.
3x-5y=8
5y= 3x -8
Thus, the gradient of the given equation is ⅗.
The product of the gradients of perpendicular lines is -1.
(gradient of line)(⅗) = -1
gradient of line= -1 ÷⅗
gradient of line= 
To find the value of c, substitute a coordinate.
When x=3, y=7,
7= -5 +c
c= 7+5
c= 12
Hence, the equation of the line is .
Answer: 47.4 liters
Step-by-step explanation:
From the question, we are informed that Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty and while in Canada, he noticed that one liter is equivalent to 0.264 gallons.
The number of liters it'll take to fill Samuels car will be:
= 12.5/0.264
= 47.4 litres
Answer:
-3x + y = 2
Step-by-step explanation:
The slope is 3. So the coefficient of x is 3.
when x = 1, y = 5.
So 3*1 + c = 5
So c is 2.
So y = 3x + 2
Therefore, taking 3x to the LHS, we get,
-3x + y = 2
Hope it helps ;)
13/250=0.052 is the answer
Answer:
23/50, 0.46, and 46%
Step-by-step explanation:
This problem is stating that every fifty times you flip a coin you get 23 heads. Finding the fraction is simple, it would be 23/50 because it is expressing the probability. The problem clearly states that every 50 times you get 23 heads. To find the decimal, take the fraction, 23/50, and multiply the numerator and denominator by 2. you get 46/100 which is 0.46. A percent is just a fraction out of a 100 which would make the percent 46.
