In order to isolate any term from an equation we need to clear out any different variable or numbers different from the one we want

in this case I is being multiplied by R, so we need to do the opposite which is divide in order to eliminate

But since this is an equality we must do it on both sides so de equation does not get altered

Then we simplify the equation
12x + 24y < = 240
** because 2 hrs and 120 minutes = 240 minutes
Answer:
(j-3)/3 =k
Step-by-step explanation:
j+2 = 3k+5
Solve for k
Subtract 5 from each side
j+2-5 = 3k+5-5
j-3 = 3k
Divide each side by 3
(j-3)/3 = 3k/3
(j-3)/3 =k
Answer:

Step-by-step explanation:
<u>Function modeling</u>
Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.
The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100
X=skirt
y=sweater
z=shoes
x+y+z=165
y=8/7x
z=x+11
plug it in
x+(8/7x)+(x+11)=165
2x+8/7x=154
22/7x=154
x=49
y=56
z=60
a skirt cost $49, a sweater cost $56, and a pair of shoes cost $60