Answer:he spent 1 hour driving at 55 mikes per hour
Step-by-step explanation:
Let x represent the time that Thomas spent driving at 30 miles per hour.
Let y represent the time that Thomas spent driving at 55 miles per hour.
Total time for the trip is 5 hours. This means that
x + y = 5
Distance = speed × time
Distance travelled at 30 miles per hour for x hours = 30×x = 30x miles
Distance travelled at 55 miles per hour for y hours = 55×y = 55y miles
If he traveled a distance of 250 miles, therefore
30x + 55y = 250 - - - - - - -1
Substituting x = 5 - y into equation 1, it becomes
30(5 - y) + 55y = 250
150 - 30y + 55y = 250
- 30y + 55y = 250 - 150
25y = 100
y = 100/25
y = 4
y = 5 - x = 5 - 4
y = 1
Here you are. See attachement
So 4•185.95= 743.8
And 10•148.56= 1485.6
Now 1485.6•743.8= 2229.4
Answer is D.$2229.40
Answer:
The weight of Shanu's dog now is 21.375 pounds.
Step-by-step explanation:
We are given that Shaun's dog weighs 22 One-fourth pounds. Shaun weighed the dog after one week and found she had lost Seven-eighths of a pound.
And we have to find the weight of the dog after exercise.
The Original weight of Shaun's dog =
Converting the above mixed fraction into an improper fraction we get;
=
Now, it is stated that after walking an extra mile every day, Shanu's dog lost Seven-eighths of a pound, that is =
So, the weight of Shanu's dog now = Original weight - Weight after exercise
=
Making denominator same for both the fractions;
=
=
=
= = 21.375 pounds.
Hence, the dog weigh 21.375 pounds now.
Given y=6-[sqrt(4-3x)], focus on the sqrt function: sqrt(4-3x). Since the input of this function cannot be negative, any x-value used must pass the test 4-3x>0. This is equivalent to 4>3x, or 3x<4, or x < 4/3. This eliminates choice E.
Second, if the y value is an integer, then sqrt(4-3x) must be an integer.
Checking answers A through D:
A: sqrt(4-3) = sqrt(1) = 1 (OK) Then y=6-[sqrt(1)] = 5 (NO)
B: sqrt(4-0) = 2 (OK) Then y=6-2 = 4 (NO)
C: sqrt(4-0) = 2 (OK) Then y=6-2 = 4 (NO)
D: sqrt(4-15) Not OK; eliminate
Correct answer: F: None of the above answers are correct