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IgorC [24]
3 years ago
8

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.
Mathematics
1 answer:
liberstina [14]3 years ago
6 0
Given:
adults = x
male = 7x + 1
female = (7x + 1)/2
total number of people = 82

x + (7x + 1) + [(7x +1)/2] = 82
2x/2 + (14x + 2)/2 + (7x + 1)/2 = 82
2x + 14x + 2 + 7x + 1 = 82 * 2
23x + 3 = 164
23x = 164 - 3
23x = 161
x = 161/23
x = 7

adults = x = 7
males = 7x + 1 = 7(7) + 1 = 49 + 1 = 50
females = (7x+1)/2 = 50/2 = 25

7 + 50 + 25 = 82

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Answer:

The second one is correct.

6 0
3 years ago
At the beach this weekend, the ratio of sandcastles to kites was 3 to 5. If there were 15 kites spotted, how many items were see
Gelneren [198K]

Answer: 24

Step-by-step explanation:

The ratio of sandcastles to kites was 3 to 5 so if 15 kites were spotted that meant that the 5 was multiplied by 3 so then we multiply the 3 by 3. Now there are 9 sandcastles and 15 kites so now we add 9 to 15 to figure out how many items were seen in all. Nine added to 15 equals 24 which means that 24 items were seen in total.

6 0
3 years ago
F(x)=-9x^2-2x and g(x)=3x^2+6x-9, find (f-g)(x) and (f-g)(-4)
Sergio039 [100]

Answer:

(f-g)(x) = -12x^{2} - 8x + 9

(f-g)(-4) = -151

Step-by-step explanation:

To find f-g(x) we subtract the common terms. So

f(x) = -9x^{2} - 2x

g(x) = 3x^{2} + 6x - 9

(f-g)(x)

(f-g)(x) = f(x) - g(x) = -9x^{2} - 2x - (3x^{2} + 6x - 9) = -9x^{2} - 2x - 3x^{2} - 6x + 9 = (-9 - 3)x^{2} + (-2 - 6)x + 9 = -12x^{2} - 8x + 9

(f-g)(-4)

(f-g)(x) = -12x^{2} - 8x + 9

We replace x by -4

(f-g)(-4) = -12(-4)^{2} - 8(4) + 9= -151

(f-g)(-4) = -151

5 0
3 years ago
Parker marks sixths on number line. He writes 5/6 just before 1. What fraction does he write on the first mark to the right of 1
VashaNatasha [74]

Answer: 7/6

Step-by-step explanation:

If he is writing sixths, then we have multiples of 1/6.

this is:

0*(1/6) = 0

1*(1/6) = 1/6

.

.

.

5*(1/6) = 5/6 (the numer he wrote at the left of 1)

6*(1/6) =  6/6 = 1

7*(1/6) = 7/6

So the number next to 1, (at the right of 1) must be 7/6.

You also can find it by adding 1/6 to 1.

1/6 + 1 = 1/6 + 6/6 = 7/6.

4 0
3 years ago
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18 tons and 42 pounds divided by 3=6 tons and 14 pounds


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