S=d/t ⇒d=s*t
s=speed
d=distance
t=time
The first train :
d=x
x=70 miles/h*t ⇒ x=70t (1)
The second train
d=360 miles - x
360 miles - x=80 miles/h*t ⇒360-x=80t ⇒ x=360-80t (2)
therefore, with the equations (1) and (2) we have a systeme of equations:
x=70t
x=360-80t
we can solve this system of equations by equalization method.
70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4 (≈2 hour 24 minutes)
Answer: the first train meet with the second train in 2 hour 24 minutes.
When you have to divide by a fraction, you have to multiply the other number by the fraction's reciprocal.
8 = 3/4 w Divide by 3/4
w = 8/(3/4)
w = 8/ (3/4) = 8 x 4/3 Multiply by the numerator and divide by the denominator.
w = (8 x 4) / 3
w = 32 / 3
w = 10 2/3
Answer:
6
Step-by-step explanation:
Question tests the ability to get quotient
Here, 32 ft is divided by 5’3”
Normally, ft is denoted by ' while inches is denoted by ". So we divide 32 ft by 5ft and 3 inches
First, we convert dimensions into similar units. To convert 5’3” to ft, we divide 3” by 12 hence 3÷12=0.25'
The total is now 5.25'
Now
32'÷5.25'=6.1538461538461
This means, we shall obtain 6 whole pieces with some remainder. Since the question needs the whole pieces only, then the answer is 6
Answer:
Number of bottles = 6
Number of cans = c
Step-by-step explanation:
Given that:
Container for selling water :
17 oz bottle
11 oz can
Let number of bottles = b
Number of cans = c
b + c = 11 - - - (1)
17b + 11c = 157 - - - (2)
b = 11 - c
Substitute into (2)
17(11 - c) + 11c = 157
187 - 17c + 11c = 157
187 - 6c = 157
-6c = 157 - 187
-6c = -30
c = 30/6
c = 5
From ; b = 11 - c
b = 11 - 5
b = 6
Hence,
Number of bottles = 6
Number of cans = c
