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Monica [59]
3 years ago
14

See has at most $150 to spend on restocking dolls and trains at her toy store. Dolls cost $7.50, and trains cost $5.00. Dee need

s no more than 10 trains, and at least 8 dolls. What is the system of inequality to represent this situation?
Mathematics
1 answer:
Burka [1]3 years ago
8 0

Answer:

Answer would be 30

Step-by-step explanation:

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Suppose that news spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who
Gnoma [55]

Answer:

y'(t) = k(700,000-y(t))  k>0 is the constant of proportionality

y(0) =0

Step-by-step explanation:

(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.

If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means  

<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.

Since no one has heard the news at first, we have

<em>y(0) = 0 (initial condition) </em>

We can then state the initial value problem as

y'(t) = k(700,000-y(t))

y(0) =0

8 0
3 years ago
The hyperbolic orbit of a comet is represented on a coordinate plane with center at (0, 4). One branch has a vertex at (0, 10) a
Anuta_ua [19.1K]

Remember that

If the given coordinates of the vertices and foci have the form (0,10) and (0,14)

then

the transverse axis is the y-axis

so

the equation is of the form

(y-k)^2/a^2-(x-h)^2/b^2=1

In this problem

center (h,k) is equal to (0,4)

(0,a-k)) is equal to (0,10)

a=10-4=6

(0,c-k) is equal to (0,14)

c=14-4=10

Find out the value of b

b^2=c^2-a^2

b^2=10^2-6^2

b^2=64

therefore

the equation is equal to

<h2>(y-4)^2/36-x^2/64=1</h2><h2>the answer is option A</h2>
6 0
1 year ago
Simplify:(-<br> 17)^8÷(-17)^2
lidiya [134]

The simplified answer is -17^6\\

If you are dividing powers with like terms you subtract the denominator to the numerator.

\frac{-17^8}{-17^2} = -17^6

8 0
3 years ago
Lines m and n are parallel. The measure of angle 6 is 55 114 57.6 3 What is the measure of angle 1? 1552​
Alex Ar [27]

Answer:

125 degree

Step-by-step explanation:

As m // n, so angle 2 and angle 6 is the same so angle 2 = 55 degree, then angle 1 + angle 2 = 180 degree, so angle 1 = 180 - 55 = 125 degree.

If it is helpful, please give me Brainliest.

5 0
3 years ago
What is 221000000000000000000 expressed in scientific notation
alexgriva [62]

Answer:

2,21 * 10^20

Step-by-step explanation:

5 0
3 years ago
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