8x - (5x + 4) ≥ -31
8x -5x - 4 ≥ -31
3x ≥ -31 + 4
3x ≥ -27
x ≥ - 9
Answer: a numbe line with a circle on - 9 and shading to the left.
Because that drawing represents the number that are less or equel than -9 and the answer is the numbers greater or equal than -9.
Answer:
x = 40
Step-by-step explanation:
In order for m and n to be parallel, the corresponding angles need to be equal. Therefore we get the equation:
3x = 120
Divide both sides by 3 to get:
x = 40
Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
Leslie:
h= hours
3/4h=4 1/2 laps
divide both sides by 3/4 or .75
1 hour = 6 laps
Kayla:
3/4h= 3 1/2 laps
divide both sides by 3/4
1 hour = 4 2/3 laps
Leslie can do C
1_ 1/3 more laps in an hour than Kayla
Answer:
y= -3x-16
Step-by-step explanation:
slope intercept form is written as y=mx+b. m is the slope, and b is the y-intercept. -3=m
we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15. subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).