Answer: 1st train = 364 mph, 2nd train = 356.2
Step-by-step explanation:
Train 1: x + 7.8
Train 2: x
Train 1 + Train 2 = Sum
x + 7.8 + x = 720.2
7.8 + 2x = 720.2
2x = 712.4
x = 356.2
Train 1: x + 7.8
= 356.2 + 7.8
= 364
To find their average miles per hour we can divide the total miles by the hour used:
4 2/3 ÷ 1 2/3
=4x3+2/3 ÷ 1x3+2/3
=14/3 ÷ 5/3
In division, when we switch the place of numerator and denominator, we can change it to multiplication which makes the calculation easier as we can factorize the numbers.
=14/3 x 3/5
Factorize 3 in both amounts:
=14/1 x 5/1
=14/5
=2.8 miles/hour
Therefore their average speed is 2.8 miles/hour.
Hope it helps!
Answer:
yes
Step-by-step explanation:
Direct variation has this equation:
y = kx
where k is the constant of variation
y = -5 ; x = -15
y = kx
-5 = k(-15)
-5/-15 = k
1/3 = k
Choice D. y = 1/3 x
Answer:
156° and 24°
Step-by-step explanation:
Let it's supplementary angle be x.
So, the angle = (x - 132)°
As we know, sum of supplementary angles is 180°;
x + x - 132 = 180
2x = 180 + 132
2x = 312
x = 312/2
x = 156°
(x-132)° = (156-132)° = 24°
Hence, the angles are 156° and 24°.
