Using a proportional relationship, we have that:
- a) The constant of proportionality is of 0.625, hence the equation is:
.
- b) The distance of two cities that are 5 miles apart is of 8 kilometers.
- c) When they are 200 kilometers apart, we have that the distance in miles is of
.
<h3>What is a proportional relationship?</h3>
- A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.
- In which k is the constant of proportionality.
Item a:
From the graph, when x = 8, y = 5, hence:
The constant of proportionality is of 0.625, hence the equation is: .
Item b:
From the graph, when y = 5, x = 8, hence:
- The distance of two cities that are 5 miles apart is of 8 kilometers.
Item c:
When they are 200 kilometers apart, we have that the distance in miles is of .
You can learn more about proportional relationship at brainly.com/question/13550871
Answer:
the answer to your question is C
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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.
Answer:
17
Step-by-step explanation:
since you are subtracting a negative number it reverses, so you actually ADD the two together
so, 12 1/2 + 4 1/2
add the whole numbers first;
12+4=16
then fractions:
1/2 + 1/2= 1
then all together;
16+1=17!
