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adoni [48]
3 years ago
13

A model train is 15 3/4 inches long. Each car in this train is 2 5/8 inches in length. How many cars are in the train?

Mathematics
1 answer:
Finger [1]3 years ago
5 0

Convert 15 3/4 to 63/4

Convert 2 5/8 to 21/8

then multiply 63/4 to 126/8

divide 126/8 by 21/8

answer is 6 after dividing

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5 times a number is 14 less than the square of that number. Find the positive solution.
anastassius [24]

Write the word problem in algebraic form:

n2 -14 = 5n

Write as a quadratic:

n2 - 5n - 14 = 0

Factor:

(n+2)(n-7) = 0

Solve:

n+2 = 0    =>   n = -2

n-7 = 0    =>   n = 7

positive solution is 7.   (14 less than 72 = 35 which is also 5 times 7)

8 0
4 years ago
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Investors buy a studio apartment for $180,000. Of this​ amount, they have a down payment of $18,000. Their down payment is what
vovangra [49]

Answer:

$180,000 is 10% $9,000 is 5%

Step-by-step explanation:

To solve for this, you would set up a ratio and cross-multiply.

$18,000/$180,000 = x%/100%

(18,000)(100) = 180,000x

1,800,000 = 180,000x

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900,000 = 180,000x

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8 0
3 years ago
I really need help :(
zavuch27 [327]

Answer:

Amira used 4 balloons for each balloon animal.

Step-by-step explanation:

From the table, we can conclude that:

For 20 animals being sold by her,  the leftover balloons were 180.

Then there is an increase in the number of animals being sold. She now sells 29 animals. So, the increase in animals being sold is given as:

29 - 20 = 9.

So, 9 more animals were sold. The balloons used for these 9 animals can be obtained by taking the difference of the leftover balloons for the two days.

The difference of the leftover balloons = 180 - 144 = 36.

So, 36 balloons were used for selling 9 more animals.

Similarly, there is an increase of another 9 animals when 38 animals were sold as 38 - 29 = 9. Also, the balloons used in this case is 36 only as the difference of the leftover balloons is 36.

144 - 108 = 36

Therefore, we conclude that for selling 9 balloon animals, Amira used 36 balloons.

Number of balloons used for 9 balloon animals = 36

∴ Number of balloons used for 1 balloon animal = \dfrac{36}{9}=4 (Unitary method)

Thus, Amira used 4 balloons for each balloon animal.

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enot [183]

Answer:

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Step-by-step explanation:

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