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sveticcg [70]
2 years ago
11

Jordan places two boards end to end to make one shelf. The first board is 47-100 meter long.The second board is 5-10 meter long.

What fraction is equivalent to 5-10 and has a denominator of 100.
Mathematics
2 answers:
Phantasy [73]2 years ago
8 0
We have the following fraction:
 (5) / (10)
 In order not to alter the expression, we must multiply the numerator and denominator by the same factor k:
 (5 * k) / (10 * k)
 Since we know that the denominator is 100 then:
 10 * k = 100
 Clearing:
 k = 100/10
 k = 10
 Substituting:
 (5 * 10) / (10 * 10)
 Rewriting:
 (50) / (100)
 Answer:
 The fraction that is equivalent to 5-10 and has a denominator of 100 is:
 (50) / (100)
tensa zangetsu [6.8K]2 years ago
5 0

The fraction that is equivalent to 5-10 and has a denominator of 100 is:

(50) / (100)

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A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% s
Artemon [7]

Answer:

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age  \leq 3}\end{array}\right

i.e after the first year ;

there 1344 members in the first age class

84 members for the second age class; and

28 members for the third age class

Step-by-step explanation:

We can deduce that the age distribution vector x represents the number of population members for each age class; Given that in each class of age there are 112 members present.

The current age distribution vector is as follows:

x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 0 \  \leq  age   \leq  2 }\\{0 \  \leq  age   \leq 3}\end{array}\right]

Also , the age transition matrix is as follows:

L = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]

After 1 year ; the age distribution vector will be :

x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]  \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq 1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age   \leq  3}\end{array}\right

6 0
2 years ago
PLZ HELP A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 63 1/4 °F. The subm
LenaWriter [7]
The submarine is now 617.5 feet below sea level, or at -617.5 feet. the temperature is now at 65 9/20

you have to add the first values with the second values :)
6 0
2 years ago
Mo has some sweets. He shares them out between x of his friends in 2 different wys. 7 sweets each with 2 leftover or 6 sweets ea
sveticcg [70]

Answer:

Mo is sharing the sweets between 5 friends

Step-by-step explanation:

An important thing to note is that whichever way Mo shares the sweets, the total number of sweets he has does not change. It means that if he chooses the first method to share the sweets, or the second method, he still has the same number of sweets. This will be helpful in setting up an equation that will help us solve the problem.

If he chooses the first way to share the sweets:

7x + 2 = total number of sweets available.

<em>This is because each of his friends gets 7 sweets each, with 2 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>

<em />

If he chooses the second way to share the sweets:

6x + 7 = total number of sweets available.

<em>This is because each of his friends gets 6 sweets each, with 7 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>

<em />

because the total number of sweets do not change, we have

7x +2 = 6x +7

Grouping like terms,

7x - 6x = 7 - 2

x = 5.

Therefore, Mo is sharing the sweets between 5 friends

7 0
3 years ago
The answer of<br>82.4 - 25​
Readme [11.4K]

Answer:

57.4

Step-by-step explanation:

82.4 - 25 is too easy, a calculator can solve this.

8 0
2 years ago
Y = -4/3x − 1<br> y = 1/3x + 4
Tom [10]

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

7 0
2 years ago
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