To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.
To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.
The similarities is that we end up with -23 on the right side, but the inequality signs are different.
Answer:
B
Step-by-step explanation:
Two times the quantity of a number minus 12.
Represent the number with the variable y.
The quantity of a number minus 12 is then: (y-12).
Two times this quantity is 2(y-12).
So the answer is 2(y-12), which is B.
Answer:
2500
Step-by-step explanation:
The driveway is 25 meters.
In every meter there is 100 centimeters.
So 25 times 100 is 2500 centimeters.
Answer:
2x + 4y = 16.
Step-by-step explanation:
14x - 7y = 8
Convert to slope-intercept form:
-7y = -14x + 8
y = 2x - 8/7
The slope is 2 so the line perpendicular to it has a slope of -1/2, so we have:
y = 1/2x + c
This line passes through the point (-2, 5) so:
5 = -1/2* (-2) + c
5 = 1 + c
c = 5 - 1 = 4
So our equation is y = -1/2x + 4.
Convert to standard from
4y = -2x + 16
2x + 4y = 16.
For this case we can propose a system of equations:
x: Let the variable that represents the number of small cookies
y: Let the variable that represents the number of large cookies
According to the statement we have:
We multiply the first equation by -2:
We have the following equivalent system:
We add the equations:
We look for the value of the variable "x":
Answer:
They sold 80 small cookies and 50 large cookies
