The ratio of two supplementary angles is 4:5. What are the measures of each angle?

Faith reads each night before bed. She read 623 pages last week. If she read the same number of pages every night, which equatio

Alona [7]

Answer:

x= 623/7 x =89 89 pages every night

Step-by-step explanation:

A week has 7 days

She reads 623 pages in one week(623 in 7 days)

5 0

3 years ago

Chrissy went to the grocery store Thursday night and spent $22.54. She paid

podryga [215]

Answer:

19.32

Step-by-step explanation:

4 0

4 years ago

A game is played using ne die. If the die is rolled and shows 3, the player wins $45. If the die shows any number other than 3,

I am Lyosha [343]

Answer:

-$13.5

Step-by-step explanation:

Let x be a random variable of a count of player gain.

- We are told that if the die shows 3, the player wins $45.

- there is a charge of $9 to play the game

If he wins, he gains; 45 - 9 = $36

If he looses, he has a net gain which is a loss = -$9

Thus, the x-values are; (36, -9)

Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6

Thus;

E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)

E(X) = (1/6)(36 - (5 × 9))

E(X) = (1/6)(36 - 45)

E(X) = -9/6 = -3/2

E(X) = -3/2

This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5

3 0

3 years ago

Place these numbers in order from greatest to least. 19/5, 1.62, –14/3, –0.5

max2010maxim [7]

Answer:

See below:

Step-by-step explanation:

Hello my name is Galaxy and I'll be helping you today. I hope you are having a nice day!

Simplification

To figure out how we can order them, we can first simplify the problems so that we can easily determine its place. We can put the fractions into decimal form so that they are are in one form and will be easy for us to comprehend.

$\frac{19}{5}=3\frac{4}{5}=3.80$

We know that $\frac{1}{5}$ is equal to 0.20 because we know that 1.00 will be equal to 100 in this case and we can divide that by five to get 20 which will be divided back to get to 0.20.

As I've explained how I've simplified the first one, simplifying the others should be a quite similar process, feel free to comment below if you need any assistance with this.

$\frac{19}{5}=3.80\\1.62=1.62\\\frac{-14}{3}=-4.6667\\ -0.5=-0.5$

(Everything simplified to decimal form.)

We can now proceed to ordering them.

Ordering

Ordering decimals doesn't have to be as hard as it looks, we know that as per the number line a number that is more negative (e.g. -37) will be less than (e.g. -5) as it is closer to the number 0.

Now that we know how to order the negative numbers, we can order them into order, and for ordering the positive numbers, we should already know how to do that.

So, now, in order from Greatest to Least. We can order them by what I said above.

$3.80>1.62>-0.5>-4.666$