Jim Ryan buys a Sears bond at 109.125. What is the amount of premium or discount the bond is selling for?

Explain how you know weather to add or subtract when you use the distributive property to multiply

nadya68 [22]

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How to add,subtract, and multiply distributive property
I am working on adding, subtracing, and multiplying distributive property. I am confused because i do not know what steps to take in order to do each problem

10/22/2012 | Lando from Chicago, IL | 2 Answers | 0 Votes
Distributive Property
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2 ANSWERS

David H.
Colorado Springs, CO
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The distributive property allows us to simplify equations.

The following is a simple problem that shows how we can use the distributive property:

A florist is selling flower arrangements with 4 lilies and 3 roses. If John bought 5 arrangements, how many of each flower would he have?

5 x (4 + 3)

The distributive property says that we can distribute the 5 and simplify this to 5 x 4 + 5 x 3. By multiplying you would get 20 lilies and 15 roses or 35 flowers total.

If we do not distribute the 5, we would get 5 x 4 + 3. 20 lilies and 3 roses or 23 flowers total.

The distributive property works the exact same way with subtraction, but remember, you only distribute to the numbers inside the parentheses. Variables can be distributed the same way.

with subtractions, one must take great care. For example 5-3*(6-2) = 5-3*6+3*2. Note that the rule that the product of two negatives is a positive was used. A common mistake is to say that the expression equals 5-3*6-3*2.

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While the question is vague, this may help.

The Order of Operations is the priority in which you perform operations in mathematics. The order of operation is:

- Do operations within parentheses first,
- Exponents
- Multiplication and Division, Left to right, as you encounter them
- Addition and Subtraction, Left to right, as you encounter them

An example:

5(4+2)2(1+3) - 3(6-3)(7+1)2 =

Work the parentheses, and keep everything else unchanged: 5(4+2)2(1+3) - 3(6-3)(7+1)2 =5 (6)2(4) - 3(3)(8)2

Now your exponents: 5 (6)2(4) - 3(3)(8)2 = 5 (36)(4) - 3(3)(64)

Now Multiplication, Left to right: 5 (36)(4) - 3(3)(64) = 720 - 576

Now Addition and Subtraction, left to right: 720 - 576 = 144

Until you get used to it, feel free to do only one operation at a time, even if multiple instances appear in the same line, such as working with our parentheses in the example above:

5(4+2)2(1+3) - 3(6-3)(7+1)2 = 5(6)2(1+3) - 3(6-3)(7+1)2 =5(6)2(4) - 3(6-3)(7+1)2 and so on.

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2 years ago

PLS HELPPP 15 PTS!!!!!!!!!!!!

Natasha2012 [34]

Answer: 12.2

Step-by-step explanation:

4 0

2 years ago

2/3p+3. p=3/5<br> What is the Answer to what

Vedmedyk [2.9K]

Step-by-step explanation:

2/3p+3

where p=3/5

substitute p into 2/3p + 3

2/3(3/5) + 3

2/(9/5) + 3

10/9 + 3

10+3)/9

13/9

1 4/9

3 0

3 years ago

Jim and Mark left a 20% tip after having lunch at a restaurant. The amount of the tip was $12. Mark's lunch cost $16. Write an e

Vlad1618 [11]

Answer:

$44

Step-by-step explanation:

Use formula

% out of 100/100% = part/whole

20%/100 = 12/16+x

Cross multiply

(12)(100) = (20)(16+x)

1200=320+20x

Solve for x

1200-320 = 20x

880 = 20x

880/20 = x

44 = x

Jim's lunch was $44.

8 0

3 years ago

Select all points that are on the line through 0,5

Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = $\frac{8-5}{2-0}$ = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

3 0

2 years ago

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