Answer: the rate of speed for train A is 66 miles per hour.
Step-by-step explanation:
Let x represent the speed of train B.
2 trains leave the station at the same time. Train A is traveling 16 miles per hour slower than train B. This means that the speed of train A would be x - 16 miles per hour.
The two trains are 720 miles apart after 4 hours. It means that both trains traveled a total distance of 720 miles in 4 hours.
Distance = speed × time
Distance travelled by train A after 4 hours is
4(x - 16) = 4x - 64
Distance travelled by train B after 4 hours is
4 × x = 4x
Since the total distance travelled by both trains is 720 miles, then
4x - 64 + 4x = 720
8x = 720 - 64 = 656
x = 656/8 = 82 miles per hour
The speed of train A would be
82 - 16 = 66 miles per hour.
9514 1404 393
Answer:
-19, -18
Step-by-step explanation:
Let x represent the smaller integer. Then the larger is x+1 and their relationship is ...
x +1 = 20 + 2x
-19 = x . . . . . . . . . subtract x+20 from both sides.
The smaller integer is -19; the larger is -18.
Answer:
C. 1.5 cm
Step-by-step explanation:
A pentagon is a polygon with 5 sides.
The formula for the area of a regular polygon is
where a is the apothem and p is the perimeter. The perimeter is found by multiplying the number of sides of the figure by the length of 1 of those sides:
5(2.2) = 11
Now we have everything we need to solve for the length of the apothem.
Begin by multiplying both sides by 2 to get rid of the fraction, so
16.6 = 11a Divide both sides by 11 to get
a = 1.5090909 or
C. 1.5 cm
22 True For all real Numbers A and B, A - B = -B + A
23 True For all real Numbers P, Q, and R, P - Q - R = P - R - Q
24) True For all real Numbers X, Y, Z and (X + Y ) + Z = Z + (X + Y)
25) False For all real Numbers M and N, M/M * N = N/N ==> Example: 5/5 * 3 ≠ 3/3 * 5
26) Examples:
Counterexamples =====> 5 - 0 = 5; 5/1 = 5
5 - 3 ≠ 3 - 5; (5 - 3 ) - 2 ≠ 5 - (3 - 2 );
6/3 ≠ 3/6; (24/6 )/2 ≠ 24/ (6/ 2 )
Hope that helps!!!! : )
