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Answer:
Step-by-step explanation:
8x = 9x - 7
-x = -7
x = 7
9(7)-7= 63-7=56
8(7)= 56
13y+7+56=180
13y+63=180
13y=117
y=9
13(9)+7= 117+7= 124
5y-11+56=90
5y+45=90
5y=45
y=9
5(9)-11+9(7)-7= z
45-11+63-7=z
34+56=z
90=z
<u>Answer:</u>
<h2>-33.33%</h2>
<u>Explanation:</u>
30-45 = -15
percent of change = 100(-15/45) = -33.33%
Answer:
y = -x + 2
Step-by-step explanation:
We are asked to find the equation of a line
Step 1: find the slope
We are given two points
( 2 , 0) ( 6 , -4)
m = (y_2 - y_1 )/ (x_2 - x_1)
x_1 = 2
y_1 = 0
x_2 = 6
y_2 = -4
Insert the values
m = ( -4 - 0) / ( 6 - 2)
m = -4 / 4
m = -1
Step 2 : substitute m into the equation
y = mx + c
y = -1x + c
Step 3: substitute any of the two points into the equation
Let's pick ( 6 , -4)
x = 6
y = -4
y = mx + c
y = -1x + c
-4 = -1(6) + c
-4 = -6 + c
c = -4 + 6
c = 2
Step 4: substitute c = 2 into the equation
y = mx + c
y = -x + c
y = -x + 2
Answer:
If there are N students, the total cost will be:
C(N) = $500 + $5*N.
And we want the amount that each student pays to be equal or less than $15.
then:
C(N)/N ≤ $15.
Then the inequality that represents this situation is:
($500 + $5*N)/N ≤ $15.
Now, let's solve this:
($500 + $5*N) ≤ $15*N
$500 ≤ $15*N - $5*N
$500 ≤ $10*N
$500/$10 ≤ N
50 ≤ N
So the minimum number of students needed is 50.
