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3 years ago

Express the fractions 1/2, 3/16, and 7/8 with an LCD

1 answer:

5 0

<span>Least Common Denominator (LCD) is the least number which all the denominators can divide without remainder. The given denominators are 2, 16 and 8. The least number 2, 16 and 8 will divide without remainder is 16. Therefore, to express the fractions 1/2, 3/12, and 7/8 with an LCD, we multiply both the numerator and the denominator of each of the fractions with a common factor that makes the denominator to be 16. Therefore, 1/2, 3/16 and 7/8 expressed with an LCD are (1 x 8) / (2 x 8), 3/16, (7 x 2) / (8 x 2) = 8/16, 3/16, and 14/16.</span>

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Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day. According to a

Degger [83]

Answer:

The equation that models this scenario $b(x)=(3+0.5x)(38-4x)$

Step-by-step explanation:

First we convert 50 cent into dollar,

1 cent = $\frac{1}{100}$ dollar

1 cent = 0.01 dollar

50 cent = 0.5 dollar

According to question,

x is the number of 50¢=$0.5 price increases.

b(x) is the revenue generated

He currently charges $3 per book.

i.e. price of book = 3+0.5x

Quantity or average = 38 per day

According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.

i.e. quantity became 38-4x

Revenue = Price × Quantity

The required equation is given by,

$b(x)=(3+0.5x)(38-4x)$

8 0

3 years ago

An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that

qaws [65]

Answer:

-764.28

Step-by-step explanation:

Given the joint cumulative distribution of X and Y as

$F(x,y) = \frac{xy(x+y)}{2000000}\ \ \ \, \ 0\leq x100, 0\leq y\leq 100$

#First find $F_x$ and probability distribution function , $f_x(x)$ :

$F_x(x)=F(x,100)\\\\\\=\frac{100x(x+100)}{2000000}\\\\\\\\=\frac{100x^2+10000x}{2000000}\\\\\\=>f_x(x)=\frac{x}{10000}+\frac{1}{200}$

#Have determined the probability distribution unction , $f_x(x)$ , we calculate the Expectation of the random variable X:

$E(X)=\int\limits^{100}_0 \frac{x^2}{10000}+\frac{x}{200} dx \\\\\\\\=|\frac{x^3}{30000}+\frac{x^2}{400}|\limits^{100}_0\\\\=58.33\\\\$

#We then calculate $E(X^2)$ :

$E(X^2)=\int\limits^{100}_0 \frac{x^3}{10000}+\frac{x^2}{200}\ dx\\\\=\frac{x^4}{40000}+\frac{x^3}{600}|\limits^{100}_0=4166.67\\\\Var(X)=E(X^2)-(E(X))^2=4166.67-58.33^2\\\\Var(X)=764.28$

Hence, the Var(X) is 764.28

4 0

3 years ago

Mia bought 5 packs of gum. After giving 11 pieces to her niece, she put the remaining 29 pieces in her backpack. Write an equati

kolbaska11 [484]

5packs=40
Equation 40-11=29

5 0

2 years ago

Read 2 more answers

Simplify

mel-nik [20]

Aa. 8x2 - 2

Step-by-step explanation:

4x2 = 8

8-3 = 5

5 + 4 =

3 0

2 years ago

Read 2 more answers

1.x-7=20<br><br>2.3x+6=12x-21

dusya [7]

Answer:

1. x=27

2. x=3

Step-by-step explanation:

<h3>the first one </h3>

let's solve your equation step-by-step.

x−7=20

Step 1: Add 7 to both sides.

x−7+7=20+7

<h3>the second one </h3>

Let's solve your equation step-by-step.

3x+6=12x−21

Step 1: Subtract 12x from both sides.

3x+6−12x=12x−21−12x

−9x+6=−21

Step 2: Subtract 6 from both sides.

−9x+6−6=−21−6

−9x=−27

Step 3: Divide both sides by -9.

−9x/−9=−27/−9

<h3 />

8 0

2 years ago