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Ilya [14]
3 years ago
13

A farmhouse shelters 10 animals. Some are pigs and sone are ducks. Altogether there are 36 legs. How many of each animal are the

re?
Mathematics
1 answer:
german3 years ago
7 0
8 pigs x 4 legs each = 32. so you need 2 ducks to give you 10 animals total. So 32 + 2 ducks with 2 legs = 36.

There are 8 pigs and 2 ducks.
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The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becom
34kurt

Answer:

C. 20

Step-by-step explanation:

Let's say M is the original number of men and W is the original number of women.

M / W = 3 / 5

(M+2) / (W+1) = 2 / 3

Let's cross multiply both equations:

5M = 3W

3(M+2) = 2(W+1)

Let's simplify the second equation:

3M + 6 = 2W + 2

3M + 4 = 2W

From the first equation:

M = 3/5 W

Substitute:

3 (3/5 W) + 4 = 2W

9/5 W + 4 = 2W

4 = 1/5 W

W = 20

There were originally 20 women.

Let's check our answer.  That would mean that M = 3/5 W = 12.

After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3.  Looks like the answer is correct!

Answer C.

7 0
4 years ago
State if the given binomial is a factor of the given polynomial <br>(10x^3+95^2+40x-45)÷(x+9)​
SVEN [57.7K]

write it neatly

Step-by-step explanation:

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7 0
3 years ago
Select all that apply <br> thαnkѕ pєrѕσn
vodka [1.7K]
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A = AB or A'B'
B = CB or C'B'
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8 0
3 years ago
4: A school has 314 boys &amp; 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there
kherson [118]

4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there be?

314 boys + 310 girls = 624

If they are grouped into classes of 26 students each, how many class will there be?

130 students = 5 classes

Therefore

260 students = 10 classes

260 x 2 = 520 = 20 classes

26 x 24 = 624

Number of classes = 24

Question 5).

Jim worked 48 weeks last year. Each week he worked 38 hours. If he worked an additional 240 hours of overtime, how many hours did he work in all?

Solution:

48 weeks

24hrs × 7 = 168hrs

168 x 48 = 8,064

Additional 240hrs

= 168hrs = 7 days (a week)

240hrs - 168 = 72 (3days)

168 + 72

= 240hrs + 8, 064

= 8, 304 hrs

6 0
3 years ago
Write the next three terms of the arithmetic sequence.
Inga [223]

Answer:

36, 44, 52

Step-by-step explanation:

Just add 8 to 28 = 36

Add 8 to 36 = 44

Add 8 to 44 = 52

8 0
3 years ago
Read 2 more answers
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