During this phase, she traveled at <span>4 miles per hour (x*4)
and for the remainder of the distance (which is 0.7-x, since the total time was 42 minutes, thus the rest equates to 0.7-x), her speed was 5 miles per hour - therefore the distance covered was (0.7-x)*5 m/h
. The overall distance totaled 3 miles, so by combining both distances, we arrive at this equation:
x*4+ (0.7-x)*5=3
removing the brackets gives us:
4x+0.7*5-5x=3
</span>
<span>4x+3.5-5x=3
subtracting 3.5 from each side yields:
4x-5x=3-3.5
-x=-0.5
multiplying both sides by (-1)
x=0.5:
therefore, she walked for half an hour by herself, which amounts to 30 minutes!</span>
Answer:
To enhance availability by 5%, the downtime due to repairs or reboots needs to drop by 600 hours
Step-by-step explanation:
Increasing availability to 5% involves multiplying the current availability hours by 105%.
Thus, 1.05 × 12000 = 12600 hours
Consequently, the repair/reboot duration must be lessened by 600 hours.
There are 5 black keys for each 7 white keys. Hence, the ratio stands at 5:7. To determine how many black keys correspond to 49 white keys, we calculate the scaling factor for the ratio: 49 divided by 7 equals 7. Thus, the original ratio is scaled by 7. Therefore, the total number of black keys equals 5 multiplied by this scaling factor, resulting in 35 black keys.
<span>y = 2x + 20. Choice A is correct. Reasoning: Vlad first spends 20 minutes on his history assignment and then completes x math problems. Each math problem requires 2 minutes, so the time for math is 2x. Adding the two parts gives total time y = 20 + 2x, with x ≥ 0 and y ≥ 20.</span>
