Answer:
x=4
Step-by-step explanation:
12x-48 12*(4)
12=0
x=4=0
Add 4 to both sides of the equation
So x=4
12*4+25
48+25
73
Answer:y=4x+11
Step-by-step explanation:
Substitute the coordinates in each of the above equations,
Then the left hand side of the equation should be equal to the right hand side of the equation.
By substituting the above coordinates in the second answer,
-1= 4(-3)+11
-1=-1
Answer:
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = number of nickels in the student's pocket
y = number of dimes in the student's pocket
Each nickel has a value of $0.05, so x nickels have a value of 0.05x
Each dime has a value of $0.10, so y dimes have a value of 0.10y
The student has a total of 10 coins, thus:
The total value of the coins is $0.85, thus
The system of linear equations that represents this scenario is:
Answer:
The answer is:
30 minutes.
Step-by-step explanation:
We are given the following information:
at 160 m/min, tool life = 5 min.
at 120 m/min, tool life = 17 min.
This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:
speed = 160 - 120 = 40 m/min
tool life = 17 - 5 = 12 min.
Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.
40 m/min = 12 min
∴ 1 m/min = 12/40 min.
∴ 100 m/min = 12/40 × 100 = 0.3 × 100 =30 min.
36 divided by 2 is 18 cookies which means half the sugar, or 1 cup.
54 divided by 3 is 18, If 18 cookies need 1 cup, then 54 needs 3 cups
