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bearhunter [10]
3 years ago
14

A puppy and two cats together weigh 24 pounds. the puppy and the larger cat together weigh exactly twice as much as the smaller

cat, and the puppy and the smaller cat together weigh exactly the same as the larger cat. How many pounds does the puppy weigh?
Mathematics
1 answer:
icang [17]3 years ago
4 0

Answer:

Puppy = 4 pounds

Step-by-step explanation:

Let's think that the puppy is P, the larger cat is K and the smaller cat is C. We have the next system of equations:

P+C+K=24

P+K=2C

P+C=K

Solving it we have:

P+C+K=24

K+K=24

2K=24

K=\frac{24}{2}=12

Now with searching for the value of C:

P+C+K=24

C+2C=24

3C=24

C=\frac{24}{3}=8

Finally P is:

P+C+K=24

P+8+12=24

P+20=24

P=24-20=4

Then the puppy is 4 pounds, the smaller cat is 8 pounds and the larger cat is 12 pounds.

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ycow [4]

Answer:

a)

AB is on the latitude 30°N.

<u>Find AB:</u>

  • AB = 2*3.142*6400*cos 30°*(32+35)/360 = 6482.15 km

BC is along longitude 35°W

<u>Find BC:</u>

  • BC = 2*3.142*6400*(30 + 20)/360 = 5585.77 km

<u>Total distance traveled:</u>

  • 6482.15 + 5585.77 = 12067.92 km

<u>Convert the distance to nautical miles:</u>

12067.92/1.86 = 6488.13 nautical miles

b)

<u>Find the average speed:</u>

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3 0
2 years ago
Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $
ycow [4]

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Step-by-step explanation:

11x + 12y = 352

10x +8y = 270

Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

-------------------

110x + 120y = 3520

110x +88y = 2970

--------------------------

        3y = 550

y =550/3

y = 17.1875

The price of a package of gingerbread "y" is $17.18

Let's pick the first equation "110x + 120y = 3520"

110x + 120y = 3520

110x+ 120(17.1875)= 3520

110x+2062.5=3520

110x=3520−2062.5

110x=1457.5

x= 1457.5/110

x=13.25

The price of a package of chocolate chip is $13.25

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-Dominant- [34]
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LiRa [457]

Answer:

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Step-by-step explanation:

128 Ounces =

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Step-by-step explanation:

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