You could set up a system of equations and solve for that, and you 2 equations that you would use would be:
x=2y+5
xy=403
(x = length)
(y = width)
But for this problem, we can notice that:
we need 2 numbers that will multiply together and equal EXACTLY 403, and then they have to be in a somewhat similar range, because the larger number is only twice the smaller, plus a few. So, all we need to do is find 2 numbers that multiply to 403 that are within a few numbers. It turns out that the only two whole numbers that multiply to 403 are
31
and
13
Test them in either equation that is listed at the top, and they work. The question is asking for the width, and because the width doubled plus 5 equals the length, that means that the width will be the smaller number. Therefore, the width is 13 cm.
The geometric sequence:
a 1 = 5, a 2 = 8.5, a 3 = 14.45, a 4 = 24.565,...
r = 8.5 / 5 = 1.7
a n = a 1 * r^(n-1)
a 9 = 5 * 1.7^(8) = 5 * 69.757574
a 9 = 348.7878205 ≈ 348.8
Against the wind:
distance = 3400 km
time = 5 hr.
rate = d/t = 3400/5 = 680 km/hr
With the wind:
distance = 3400 km
time = 4 hr
rate = d/t = 3400/4 = 850 km/hr
Equations:
plane speed - wind speed = 680 km/hr
plane speed + wind speed = 850 km/hr
2(plane speed) = 1530
plane speed = 765 km/hr
Substitute and solve for "wind speed":
765 + wind speed = 850
wind speed = 85 km/hr
Did you follow?
Answer:
Step-by-step explanation:
hello :
y-(-4) =m (x-0) m>0
The probability that a divisor of 2 or 9 is chosen when the spinner is spun once is 2/3.
<h3>What is the probability?</h3>
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
P(2 or divisor of 9) = section that has a divisor of 2/ total number of sections + section that has a divisor of 2/ total number of sections
1/3 + 1/ 3 = 2/3
To learn more about probability, please check: brainly.com/question/13234031
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