Which of the following proportions could be used to convert 3600 feet into miles
1 answer:
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Answer:
p = 4
Step-by-step explanation:
The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)
<h3>Cross multiply</h3>This means multiply both sides of the equation by the product of the denominators:
(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"
15p = 60 . . . . . . simplify
<h3>Second step</h3>Now, divide by the coefficient of the variable.
15p/15 = 60/15
p = 4
The solution is p = 4.
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<em>Additional comment</em>
If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.
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For example, to solve ...
2/5 = p/10
you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.
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Any proportion can be written 4 ways:
This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:
6/15 = p/10 ⇒ p = 10(6/15) = 4
The equation -21t - 4 = 10 - 2t has only one solution
<u>Solution:</u>
Given, equation is – 21t – 4 = 10 – 2t
We have to find how many solutions does the above given equation have
Now, let us solve the given equation to find the number of solutions it has.
Then, - 21t – 4 = 10 – 2t
Taking like terms to one side of the equation we get,
- 21t + 2t = 10 + 4
here we can see only one value of t.
Hence, the given equation has only one solution.
If it's a regular octahedron, then you can calculate it using the formula 
where 
is the length of the edge.
If it's not regular, you have to calculate the area of each side individually.
If it's not regular, you have to calculate the area of each side individually.