Answer:
Train A - 50 miles per hour
train B - 30 miles per hour
Step-by-step explanation:
Let x mph be the speed of the train B, then the speed of the train A is (x+20) mph.
In 3 hours,
- train A travels 3(x+20) miles
- train B travels 3x miles
In total, they covered the distance of 240 miles, so
![3(x+20)+3x=240\ \ \ \text{[Divide by 3]}\\ \\x+20+x=80\\ \\2x=80-20\\ \\2x=60\\ \\x=30\ mph\\ \\x+20=30+20=50\ mph](https://tex.z-dn.net/?f=3%28x%2B20%29%2B3x%3D240%5C%20%5C%20%5C%20%5Ctext%7B%5BDivide%20by%203%5D%7D%5C%5C%20%5C%5Cx%2B20%2Bx%3D80%5C%5C%20%5C%5C2x%3D80-20%5C%5C%20%5C%5C2x%3D60%5C%5C%20%5C%5Cx%3D30%5C%20mph%5C%5C%20%5C%5Cx%2B20%3D30%2B20%3D50%5C%20mph)
Step-by-step explanation:
d if not d a.................
Answer:
Step-by-step explanation:
Standard Form:
56,927.34
Expanded forms can be written like a sentence or stacked for readability as they are here.
Expanded Notation Form:
50,000
+6,000
+900
+20
+7
+0.3
+0.04
Expanded Factors Form:
5 ×10,000
+ 6 ×1,000
+ 9 ×100
+ 2 × 0
+ 7 ×1
+ 3 ×0.1
+ 4 ×0.01
Expanded Exponential Form:
5 × 104
+ 6 × 103
+ 9 × 102
+ 2 × 101
+ 7 × 100
+ 3 × 10-1
+ 4 × 10-2
Answer:
3 feet
Step-by-step explanation:
A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an angle of 60 degrees with the ground.
ladder is 12 foot
The ladder makes an angle of 60 degrees with the ground.
It form a right angle triangle . ladder is the hypotenuse
![cos(60)=\frac{x}{12}](https://tex.z-dn.net/?f=cos%2860%29%3D%5Cfrac%7Bx%7D%7B12%7D)
![0.5= \frac{x}{12}](https://tex.z-dn.net/?f=0.5%3D%20%5Cfrac%7Bx%7D%7B12%7D)
multiply 12 on both sides
x= 6
the distance from the base of the ladder to the bottom of the fence
x-3 = 6-3=3 feet
Answer:
12 ≮ 12
False
Step-by-step explanation:
19 − 7 < 12
12 ≮ 12 (<--- line through the less than sign)
False
(I'm not 100% sure)