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lara [203]
3 years ago
15

A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the n

umber of adults. The number of female students was half the number of male students. If the total number of people who went on the trip is 82, find the numbers of male students and female students.
The number of male students is...

A. 36
B. 50
C. 70

The number of female students is...

D. 18
E. 25
F. 35
Mathematics
1 answer:
sp2606 [1]3 years ago
5 0
Let the number of adults be x, then number of male students is 1 + 7x and the number of female students is (1 + 7x)/2.
x + 1 + 7x + (1 + 7x)/2 = 82
2x + 2 + 14x + 1 + 7x = 164
23x = 164 - 2 - 1 = 161
x = 161/23 = 7

Therefore, number of male students is 1 + 7(7) = 1 + 49 = 50
and the number of female students is 50/2 = 25.
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Geometry question, any help is appreciated
kodGreya [7K]

Answer:

Hence, the ratios are given by 5:7, 25:49, 125:343.

Step-by-step explanation:

We are given two spheres such that:

Volume of small sphere V_{s} = 250 yd^{3}

Volume of large sphere V_{l} = 686 yd^{3}.

Then the ratio of volume = 250 : 686 = 125 : 343.

Since, the volume of a sphere = \frac{4 \pi \times r^{3}}{3}, this gives us that the ratio of the radius = ∛V_{s} : ∛V_{l}

i.e. The ratio of the radius = ∛125 : ∛343 = 5 : 7.

Further, as the surface area of a sphere = 4 \pi \times r^{2}, this gives us that the ratioof surface area = r_{s} ^{2} : r_{l} ^{2}

i.e The ratio of the surface area = 5^{2} : 7^{2} = 25 : 49

So, the ratio of the surface areas = 25 : 49.

Hence, the ratios are given by 5:7, 25:49, 125:343.

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