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4 years ago

Convert 7/8 to a decimal. Then state if it is a terminating or repeating decimal.

Mathematics

1 answer:

ladessa [460]4 years ago

6 0

7/8 = 0.875

it is a terminating decimal, because it ends, unlike a repeating decimal, which goes on forever.

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A student theatre charges $9.50 per ticket. The theater has already sold 70 tickets. Write and solve an inequality that represen

Leona [35]

To make the inequality, we will use the ≥ sign to determine how many more tickets we will need. Before we write the inequality, let's see how much money was already made by the present tickets. 70 x 9.50 = $665.
We can write the inequality as $665 + $9.50t ≥ $1000 where t is the number of tickets sold. Now we can solve
$665 + $9.50t ≥ $1000, subtract 665
$9.50t ≥ $335. Now isolate the t by divide 9.50 to both sides
t ≥ 35.26 which we can round up to 36 because you cant sell 35.26 tickets.
So you need at least 36 more tickets to earn at least $1000

5 0

3 years ago

Solve the following ODE's: c) y* - 9y' + 18y = t^2

Nastasia [14]

Answer:

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = $C_1e^{3t}+C_2e^{6t}$

now calculating P.I.

$P.I. = \frac{t^2}{D^2 - 9D +18}$

$P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

hence the complete solution

y = C.F. + P.I.

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

7 0

3 years ago

A number cube is rolled what is the probability that the result is a number greater than five?

ki77a [65]

Answer:

The answer is 1/3

Step-by-step explanation:

Let the events of getting the no. greater than 4 be (>4).

Then,

n(s) = 6

n(>4) = 2

P(>4) = n(>4)/n(s)

 =2/6

=1/3

6 0

2 years ago

-8x - 4y = -24 -3x + 7y =25 Solve.

andre [41]

Answer:

I need the right problem.

Please read the whole thing.

Step-by-step explanation:

Hi. For this problem you are going to combine like terms.

For these problems, if you need any more help, you can search up algebra calculators on google.

I tried the problem and it said that there was too many equal signs. So, I would check to see if you asked this question correctly. I would ask your teacher.

Stay safe during these times,

The guy who tired to answer your question

5 0

3 years ago

Read 2 more answers

What is the value of x?

asambeis [7]

Your answer is 63. 54+63+63=180

3 0

4 years ago