Answer:
The cost of labor per hour is $105.
The expression is 4x + 77 = 497
Step-by-step explanation:
The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.
4x + 77 = 497
4x + 77 - 77 = 497 -77
4x = 420
4x/4=420/4
x = 105
The answer is false.
A radius is a segment that connects any point on the circle to the center of said circle. An angle requires two lines, and a radius only consists of one line, which further proves that this statement is false.
9514 1404 393
Answer:
a) average rate = (total distance)/(total time)
b) Rave = 2·R1·R2/(R1 +R2)
c) cheetah's average rate ≈ 50.91 mph
Step-by-step explanation:
a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...
First leg distance: AB = 70·t1 ⇒ t1 = AB/70
Second leg distance: AB = 40·t2 ⇒ t2 = AB/40
The average rate is the ratio of total distance to total time:
average rate = (AB +AB)/(t1 +t2)
average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)
average rate = 560/11 = 50 10/11 . . . mph
__
No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.
b) For two rates over the same distance (as above), the average is their harmonic mean:
average rate = 2r1·r2/(r1+r2)
__
c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.
C) x = -19/10 because when solving it with substitution u get x=-19/10 & y=153/10
Answer:
$32
Step-by-step explanation:
First, find 20% of 40.
20% as a decimal is 0.20 (20/100)
0.20 x 40 = 8
Now, subtract 8 from the original price.
40 - 8 = 32