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topjm [15]
3 years ago
9

-7/8 - (-h) = -7/12 solve for h pls show work

Mathematics
1 answer:
Westkost [7]3 years ago
6 0

Answer:

The answer is 7/24.

Step-by-step explanation:

I attached a picture, but I'll try to walk through it here.

1) A negative and a negative makes a positive, so h becomes positive.

2) I added 7/8 to both sides, in order to "isolate the variable", which simply means to get h by itself, on one side of the equation (you'll likely hear it said both ways).

3) I multiplied 7/8 by 3/3, and multiplied -7/12 by 2/2. This is known as a common denominator, which in this case is 24. You can only add and subtract fractions that have a common denominator.

4) Multiply both of the fractions to get 21/24 + (-14/24). "Adding a negative" is the same thing as subtracting.

5) 21 - 14 = 7, and since our denominators are the same, the answer is 7/24.

You can confirm the answer by substituting, or "plugging" 7/24 into your original equation, in place of h.

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The total value of money earned was $627.50. Then subtract the amount of money the popcorn cost, $95.00. This subtraction would make the difference of $532. This equation would be in parentheses because you have to get the difference before you can divide the profits among the club members. After you put that into parentheses, divide the difference by M. This will give you the equation (627.50-95.00)/m hope this helps!

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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
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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

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there 1344 members in the first age class

84 members for the second age class; and

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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

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