Answer:
275 seconds, or 4 min 35 s
Step-by-step explanation:
The first set is red for 15 seconds and green for 40 seconds, so it repeats the cycle every 55 seconds.
The second set is red for 35 seconds and green for 15 seconds, so it repeats the cycle every 50 seconds.
A car will stop at the first set, wait 15 seconds, then drive for 60 seconds to the second set, which will just turn red. So we need to find how many cycles it takes for the beginning of the two sets to be 75 seconds apart.
If x is the number of cycles of the first set, and y is the number of cycles of the second set, then:
55x + 75 = 50y
y = 1.1x + 1.5
y must be an integer, so we need to find an integer value of x such that 1.1x ends in 0.5. For example, x = 5.
y = 1.1(5) + 1.5
y = 5.5 + 1.5
y = 7
If we wait for the first set to cycle 5 times, the beginning of the 6th cycle will be 75 seconds before the beginning of the second set's 8th cycle. So the pedestrian must wait 5 × 55 = 275 seconds, or 4 min 35 s.
Answer:
3.09
Step-by-step explanation:
The hundredth is the second number to the left of the decimal point. To round you use the number to the left to judge whether the next number will go up or down. A good rule is this "4 and below let it go, 5 and above give it a shove", this means if the number is 4 or lower leave the digit the same. If it's 5 or higher change it to be one digit larger.
Answer:
Step-by-step explanation:
Given the expression 4^{-2}•7^{-2}. The following expression are equivalent to given expression on simplification.
Generally from indices, a^-b = 1/a^b. Applying this to the given expression we have:
4^{-2}•7^{-2} = 1/4^2 • 1/7^2
= 1/(4×4) • 1/(7×7)
= 1/16 • 1/49
= 1/(16×49)
= 1/784
Answer:
1st option
Step-by-step explanation:
We see that one angle is 28, so because of alternate interior angles, angle two is also 28. Angle one is 90 because those two lines are perpendicular and the only available options for A is 90, and measurement angle 3 is going to be 180 - (90 + 28) (sum of interior angles in a triangle) and you're going to get 62.
Let me know if you have any questions
Answer:
x 1.12
Step-by-step explanation:
Total meal plus 12% tip in one step.
12% as a fraction is .12
Multiply the cost of the meal by 1.12 To get the total cost including tip.
x 1.12