MATHEMATICS
MIDDLE SCHOOL

Answer:

HIGH SCHOOL

"You rent four movies and return them a day late. The regular rental fee is xdollars per movie. You are charged a total of (4x+8) dollars. a. Factor the expression using the cake method (GCF).(4x+8) = __________ Don't put spaces when you type your answer. b. The fee for returning a movie 1 day late is $__________"

Answer:

Step-by-step explanation:

Let's call the amount of dollars per movie.

The following expression represents charges in dollars:

If we use the cake method, it would be like the following:

| 4 8

2 | 2 4

2 | 1 2

So, the Greatest Common Factor is 2 times 2, which is 4. GCF = 4.

a. The factored expression would be:

Notice that the charge per movie is $(x+2), because the factor 4 represents the total number of movies.

Therefore, in this case, the fee per movie is x + 2. (b).

Answer:

a. 4(x + 2)

b. $2.00

Step-by-step explanation:

The 'cake method' is another method that can be used to find greatest common factor (GCF) and least common multiple (LCM). In this method, you form an 'upside down layered cake' to factor your numbers:

Start with your two numbers: 4 8

Look at what two factors you can multiply to find those numbers and put the common number on the outside and the other number down below:

2 I 4 8 I

2 I 2 4 I

1 I 1 2 I

Now, multiply the numbers on the left side of the cake (2 x 2 x 1), GCF = 4.

With the GCF = 4, put this number outside the parenthesis and factor: 4(x + 2). Since 'x' represents the cost of one movie rental, then the fee for returning a movie 1 day late is $2.00.

MIDDLE SCHOOL

BRAINLIEST!! Find the mean of the data set. If necessary, round to the nearest tenth. 18, 14, 8, 22, 25, 8 A. 15.8

B. 14.8

C. 16.1

D. 17.3

Answer:

The answer is A.

Step-by-step explanation:

The reason is because you add all of then and then divide it by how many number there is 18+14+8+22+25+8= 95

then you divide by 6 which is 15.833333 rounded to the nearest tenth is 15.8

MIDDLE SCHOOL

Show how you can solve the equation 3x=9 by multiplying each side by the reciprocal of 3.

The final value of x for the equation is 3

What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: The equation as 3x=9

Now multiplying both sides by 1/3 we get

3x/3=9/3

x=3

Hence, The final value of x for the equation is 3

Learn more about linear equations here:

brainly.com/question/29739212

#SPJ5

The reciprocal of 3 is just . So you would have ×3x=9 and you'd get x=3

COLLEGE

. Curt is installing a picket fence around his garden which is 45.45 ft by 14.63 ft. When he gets to the hardware store he finds that each picket fence slat is two feet wide. If Curt does not want any spaces between each slat, use estimation to determine how many slats of fencing he should buy.

The fence must have two sides of length 45.45 ft and two sides of length 14.63

To cover each of 45.45 ft long side, he will need 45.45 / 2 = 22.7 slats which approximates to 23. So, they are 2 * 23 = 46 slats.

To cover each of 14.63 ft sides, he will need 14.63 / 2 = 7.3 which approximates to 8 (to not leave any spaces between each slat). So, they are 2 * 8 = 16 slats.

That makes 46 + 16 = 62 slats.

Answer: around 62 slats.

To cover each of 45.45 ft long side, he will need 45.45 / 2 = 22.7 slats which approximates to 23. So, they are 2 * 23 = 46 slats.

To cover each of 14.63 ft sides, he will need 14.63 / 2 = 7.3 which approximates to 8 (to not leave any spaces between each slat). So, they are 2 * 8 = 16 slats.

That makes 46 + 16 = 62 slats.

Answer: around 62 slats.