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Rina8888 [55]
2 years ago
10

An ant can travel at a constant speed of 980 inches every 5 minutes. At this rate, how far can the ant travel in 7 minutes? *

Mathematics
1 answer:
Luda [366]2 years ago
5 0
Answer: 1,372
Reasoning:
980 divided by 5 = 196
196 times 7 = 1,372
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Multiples of 6 and 14
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Step-by-step explanation:

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An article reports "sales have grown by 30% this year, to $200 million." What were sales before the growth? An article reports "
zimovet [89]

The amount of sales before growth according to the article is $153.85 million

<h3>How to find sales before growth?</h3>

let

  • Sales before growth = x
  • Percentage growth = 30%
  • New sales = $200 million

200 = x + (30% × x)

200 = x + (0.3 × x)

200 = x + 0.3x

200 = 1.3x

x = 200/1.3

x = 153.846153846153

Approximately,

x = $153.85 million

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I need to make a matrix in reduced row echelon form
a_sh-v [17]

Let the three apartments be A, B & C

The rent of A is $x

The rent of B is $y

The rent of C is $z

So x + y + z = 1600     .......(1)

Now

Maintenance of A is 20% of x = 0.20x

Maintenance of B is 20% of y = 0.20y

Maintenance of C is 25% of z = 0.25z

0.20x + 0.20y + 0.25z = 345

Multiplying by 100 we get

20x + 20y + 25 z = 34500

Dividing by 5 we get

4x + 4y + 5z = 6900              .......(2)

Monthly fee of A is 10% of x = 0.10x

Monthly fee of B is 20% of y = 0.20 y

Monthly Fee of C is 10% of z = 0.10z

Now

0.10x + 0.20y + 0.10 z= 1820 - 1600

0.10x + 0.20y + 0.10z = 220

Multiplying by 100 we get

10x + 20y + 10z = 22000

Dividing by 10

x + 2y + z = 2200     ....(3)

Making a Matrix of equation (1), (2) & (3)

\left[\begin{array}{ccc}1&1&1\\4&4&5\\1&2&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right]  =\left[\begin{array}{c}1600\\6900\\2200\end{array}\right]

is the required matrix

7 0
3 years ago
Read 2 more answers
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