Use the distributive Property to evaluate the expression
(-12) (6 + 4)

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

if we use the distributive Property to evaluate the expression it will be

-12(6+4)

-12*6=-72

-12*4=-42

now we add both of them (-72+-42 is -120)


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Write the following in decimals twelve and nine thousand six hundred and forty-seven millionths
Twenty-five students use 120 sheets of paper. Find the unit rate in sheets per student
Which mathematical sentence most accurately expresses the information in the problem below? Crystal has 121 compact discs that she wants to put into boxes. Each of the boxes that she brought home holds 25 discs. How many of these boxes will she need for all of her discs?

(2x^2-17x-38)/(2x+3)

Answers

(2x^2-17x-38)/(2x+3)
=-15x^2-38)/2x+3)
=-7.5x^2/2x+3
=-3.525x-38+3
=-3.525x-35
(2x^2-17x-38)=(2x+3)(x-10)+8
(2x^2-17x-38)/(2x+3)=x-10+8
(2x^2-17x-38)/(2x+3)=x-2

In a version of the game of roulette, a steel ball is rolled onto a wheel that contains 19 red, 19 black and 2 green slots. If the ball is rolled 25 times, the probability that it falls into the green slots two or more times:___________.

Answers

Answer:

The probability is 0.3576

Step-by-step explanation:

The probability for the ball to fall into the green ball in one roll is 2/1919+2 = 2/40 = 1/20. The probability for the ball to roll into other color is, therefore, 19/20.

For 25 rolls, the probability for the ball to never fall into the green color is obteined by powering 19/20 25 times, hence it is 19/20^25 = 0.2773

To obtain the probability of the ball to fall once into the green color, we need to multiply 1/20 by 19/20 powered 24 times, and then multiply by 25 (this corresponds on the total possible positions for the green roll). The result is 1/20* (19/20)^24 *25 = 0.3649

The exercise is asking us the probability for the ball to fall into the green color at least twice. We can calculate it by substracting from 1 the probability of the complementary event: the event in which the ball falls only once or 0 times. That probability is obtained from summing the disjoint events: the probability for the ball falling once and the probability of the ball never falling. We alredy computed those probabilities.

As a result. The probability that the ball falls into the green slot at least twice is 1- 0.2773-0.3629 = 0.3576

If doughnuts are usually 75 cents each, but there is a sale on Friday advertising them as 1 ½ dozen for $10.80, what is the new cost for just one?

Answers

This deal is cheap! Well, the answer is 60 cents. To get these problems, divide 10.80 by 18, which is equal to 1.5 a dozen.
This deal is cheap! Well, the answer is 60 cents. To get these problems, divide 10.80 by 18, which is equal to 1.5 a dozen.

Determine whether the sequence coverage or diverges. If it converges, give the limit. 48, 8, 4/3, 2/9, ...

Answers

(I'll learn limits next year)
The function converges to 0.

These two functions represent the growth of two different bacterial cultures in terms of the number of bacteria after x days.f(x) = 2,000(2)^x (other one on the graph)

Answer the following:
A) Which function has the higher initial amount of bacteria? g(x) or f(x)
B) Which function has the greater amount of bacteria after two days? g(x) or f(x)

Answers

Answer:

A. The function f(x) has the higher initial amount of bacteria.

B. The function g(x) has the higher amount of bacteria after two days.

Step-by-step explanation:

The given function is

f(x)=2000(2)^x

The graph of g(x) passing through the points (0,1000) and (1,3000). So the initial value is 1000 and the growth factor is 3.

The function g(x) is

g(x)=1000(3)^x

Part A:

Substitute x=0, to find the initial blue of the functions.

f(0)=2000(2)^0=2000

g(0)=1000(3)^0=1000

Since 2000>1000, therefore the function f(x) has the higher initial amount of bacteria.

Part B:

Substitute x=2, to find the amount of bacteria after two days.

f(2)=2000(2)^2=8000

g(2)=1000(3)^2=9000

Since 8000<9000, therefore the function g(x) has the higher amount of bacteria after two days.

a parking garage charges $2 for the first hour and $1 for each additional hour. Fran has $7.50 to spend for parking. what is the greatest number of hours Fran can park?

Answers

Find the number of greatest hour did Fran used for parking in where:
=> parking charge $2 for the first hour
=> and $1 for the additional hours.
=> Fran spent $7.5 in all.
To get the answer let’s have the solution this way.
=> 7.5 dollars – 2 dollars = we need to subtract the first hour which is 2 dollars.
=> 5.5 dollars left.
=> 5.5 dollars / 1 dollar per hour
=> 5.5 hour + 1 hour
=> 6.5 hours
Thus, Fran parked for 6.5 hours and payed 7.5 dollars.







2 + H = 7.50 ( H is the # of hours after the 1st hour)

2 + H = 7.50

(-2 from both sides)

——————-

H = 5.50

5.50 plus the first hour equals 6.5 hours

He can park there for 6 and a half hours