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vova2212 [387]
3 years ago
13

Jasmine is going on a diet and wants to lose 5 pounds a month. She currently weighs 180 pounds. Write and solve an equation to d

etermine how many months she must diet is her goal weight is 145. Plzzz I will give you 100 points
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

Answer:

7 months

Step-by-step explanation:

An equation which gives us J's weight after any particular month is

W(m) = 180 lb - (5 lb/mo)t

Her goal weight is 145 lb.

Therefore, write:

W(m) = 145 lb = 180 lb - (5 lb/mo)t.

We must solve this equation.  To do so, subtract 180 lb from both sides of the equation:

145 lb - 180 lb =  - (5 lb/mo)t

-35 lb =  - (5 lb/mo)t

t = 35 lb   /   (5lb/mo) =  7 mo

J. must diet for 7 months to get her weight down to 145 lb from 180 lb.

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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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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]

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Answer:

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Combine like terms

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b = 60

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