Answer:
y = (-5/3)x - 4
Explanation:
The equation of a line with slope m that goes through the point (x1, y1) is:
Additionally, two lines are parallel if they have the same slope.
The slope of the line y = (-5/3)x - 2 is (-5/3) because it is the number beside x.
So, the slope of our line is also -5/3.
Therefore, replacing m by -5/3 and (x1, y1) by (-3, 1), we get that the equation of the line is:
Finally, solving for y, we get:
So, the answer is:
y = (-5/3)x - 4
Answer:
The frequency of oranges is the classroom is 47.37%.
Step-by-step explanation:
The relative frequency of oranges is the number of oranges divided by the total number of fruits.
We have that:
8 students brought 2 apples each. So there are 8*2 = 16 apples
4 students brought an apple and an orange each. So there are 16 + 4*1 = 20 apples and 4*1 = 4 oranges.
7 students brough 2 oranges each. So there are 4 + 2*7 = 18 oranges.
There are 18 oranges, and 20+18 = 38 fruits in total.
So the frequency of oranges in the classrom is
Answer:
The number of nickels is 45 and the number of dimes is 72.
Step-by-step explanation:
Let
x ----> number of nickels
y ----> number of dimes
Remember that
so
------> equation A
------> equation B
<em>Solve the system by substitution</em>
we have
------> equation A
------> equation B
Multiply both equations by 100 both sides
---->
--> equation C
----> equation D
substitute equation C in equation D
solve for y
Find the value of x
<em>Alternative Method</em>
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is the point (45,72)
therefore
The number of nickels is 45 and the number of dimes is 72.
