Find the equation of this line in slope intercept form y-2=1/2(x+8)

What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b?

Marina86 [1]

Answer:

1. 0.04b. 0.04b is 2% of 2b. It is smaller than 2b by 98%.

2. 0.2b. 0.2b is 10% of 2b. It is smaller than 2b by 90%.

3. 0.56b. 0.56b is 28% of 2b. It is smaller than 2b by 72%.

4. 1.8b. 1.8b is 90% of 2b. It is smaller than 2b by 10%.

5. 2.5b. 2.5b is 125% of 2b. It is larger than 2b by 25%.

6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.

Step-by-step explanation:

1. 0.04b

For all the cases, we will use Rule of Three, this way.

Percentage * 2 = 100 * 0.04

Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)

Percentage = 4/2 = 2%

0.04b is 2% of 2b. It is 98% smaller than 2b.

For all cases, we will use (100 - x) for calculating how smaller or larger the expression is related to 2b, where x is the percentage of the expression itself). In this case, 100 - 2 = 98.

2. 0.2b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.2

Percentage = (100 * 0.2)/2 (Dividing by 2 at both sides)

Percentage = 20/2 = 10%

0.2b is 10% of 2b. It is 90% smaller than 2b.

3. 0.56b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.56

Percentage = (100 * 0.56)/2 (Dividing by 2 at both sides)

Percentage = 56/2 = 28%

0.56b is 28% of 2b. It is 72% smaller than 2b.

4. 1.8b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 1.8

Percentage = (100 * 1.8)/2 (Dividing by 2 at both sides)

Percentage = 180/2 = 90%

1.8b is 90% of 2b. It is 10% smaller than 2b.

5. 2.5b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 2.5

Percentage = (100 * 2.5)/2 (Dividing by 2 at both sides)

Percentage = 250/2 = 125%

2.5b is 125% of 2b. It is 25% larger than 2b.

In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.

6. 3b.

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 3

Percentage = (100 * 3)/2 (Dividing by 2 at both sides)

Percentage = 300/2 = 150%

3b is 150% of 2b. It is 50% larger than 2b.

In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.

6 0

3 years ago

Consider the steps for determining the quotient of 12/x-4 / 4/x-4

Ierofanga [76]

Answer:

Quotient = 3

Step-by-step explanation:

We need to solve the given expression :

$\dfrac{\dfrac{12}{x-4}}{\dfrac{4}{x-4}}$

It can be done as follows :

As, $\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}$

So,

$\dfrac{\dfrac{12}{x-4}}{\dfrac{4}{x-4}}=\dfrac{12}{x-4}\times \dfrac{x-4}{4}\\\\=\dfrac{12}{4}\\\\=3$

Hence, the required quotient is 3.

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Paula has a dog that weighs 3 times as much as Carla's dog. The total weight of the dogs is 68 pounds.

mr_godi [17]

Answer:

51

Step-by-step explanation:

68/4=17

68-17=51

4 0

3 years ago

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A pet store has 9 dog leashes. It has 8 fewer dog leashes than dog collars. How many dog collars does the store have?

user100 [1]

Im really not sure how to answer this stuff

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3 years ago

Complete the two column proof

ivolga24 [154]

a. is Substitution Property

b. might be definition of supplementary angles

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3 years ago

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