M < 7 / 12
(1) < 7 / 12
(1) < 0.583333333 (false statement)
(-1) < 7 / 12
(-1) < 0.583333333 (true statement)
(-9) < 7 / 12
(-9) < 0.583333333 (true statement)
(-5) < 7 / 12
(-5) < 0.583333333 (true statement)
B C D maybe?
Step-by-step explanation:
22x13, 10x9, then both answers from the previous equations multiplied. Any questions?
Write the Inequality
A number b times -16 is greater than 5.
A number b is a variable... b.
Times means multiply.
-16 is what you are multiplying b by.
Is greater than means the greater than symbol.
5 is what the past statements are greater than.
So this is the inequality.
-16b > 5
Solve the Inequality
You need to isolate b.
To do this, divide each side by -16. You do this because b is being multiplied by -16. You know that any number divided by that number equals 1, canceling the number.
-16b ÷ -16 = b
5 ÷ -16 = -5/16
So you get b > -5/16
So to make the inequality true, b must be more than -5/16.
Or as an inequality...
b > -5/16
Answer:
The equation is ;
4x - y = 13
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
from what we are given, let us write the second equation in the general form
x + 4y = 10
4y = -x + 20
y = -1/4x + 20/4
y = -1/4x + 5
mathematically, when two lines are perpendicular, the product of their slope is -1
So for the second line with slope m2
m2 * -1/4 = -1
m2 = 4
So, using the general form, we have the equation as;
y = 4x + b
To get the value of b, we substitute the coordinates of the given point (3,-1)
-1 = 4(3) + b
-1 = 12 + b
b = -1-12
b = -13
So the equation is;
y = 4x - 13 which can be rewritten as;
4x-y = 13
#1) 4 weeks, $280
#2) (5, 38)
#3) (1, 3)
#4) Step 3
#5) (y+z=6)*-8
#6) 2x+2y=8
Explanation
#1) Setting them equal,
60x+40=50x+80
Subtract 50x from both sides:
60x+40-50x=50x+80-50x
10x+40=80
Subtract 40 from both sides:
10x+40-40=80-40
10x=40
Divide both sides by 10:
10x/10 = 40/10
x=4
Plugging this in to one of our equations,
60(4)+40=240+40=280
#2) Setting the equations equal to one another,
8x-2=9x-7
Subtract 8x from both sides:
8x-2-8x=9x-7-8x
-2=x-7
Add 7 to both sides:
-2+7=x-7+7
5=x
Plugging this in to the first equation,
8(5)-2=y
40-2=y
38=y
#3) Substituting our value from the second equation into the first one,
n-2+3n=10
Combining like terms,
4n-2=10
Add 2 to both sides:
4n-2+2=10+2
4n=12
Divide both sides by 4:
4n/4 = 12/4
n=3
Substitute this into the second equation:
m=3-2=1
#4) The mistake was made on Step 3; the 4 was left off when the equations were added.
#5) To eliminate y, we want the coefficients to be the same. To accomplish this, we will multiply the first equation by -8.
#6) In order to have infinitely many solutions, we want each coefficient as well as the constant to be a multiple of our equation. Multiplying the equation by 2, we get 2x+2y=8.
