Total distance John drove=450 miles
total time=8 hours
let the number of hours he drove on highway be x, number of hours he drove on turnpike will be (8-x) hours
since
distance=speed*time
distance traveled in highway=50x
distance traveled in turnpike=60(8-x)
thus the total distance will be:
50x+60(8-x)=450
simplifying the above
50x+480-60x=450
-10x=450-480
-10x=-30
thus
x=3 hours
Thus he drove on highway for 3 hours.
Answer:
B. 1 and D. 3.
Step-by-step explanation:
The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).
The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.
The solutions are at x = 1 and x = 3.
Check:
3 × 1 - 1 = 2¹ 3 × 3 -1 = 2³
3 - 1 = 2 9 - 1 = 8
2 = 2 8 = 8
the total number of marbles in the bag is 12 . so the probability of getting a green marble at random is 4/12 which resluts to 1/3
Answer:
Here is your answer:
5x + 2 < 32
solution:
5x+ 2 < 32
or, 5x < 32-2
or, 5x < 30
or, 5x < 30/2
or, 5x < 15
or, x < 15/3
or, x < 5
therefore, x < 5 <u>ans</u>
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Answer:
A is your answer.
Step-by-step explanation:
The quickest way to find this is to count the whole numbers between each point given in the answers and look for the answer that falls between 2 and 3 units.
Answer A, -31/2 and 1 is the only answer that meets this criteria.