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
Answer:
The discovery of new resources can cause the LRAS curve to move.
Step-by-step explanation:
In the short-run, a new resource will not impact supply
Like the supply for maritime transportation when the steam-engine were invented.
At the beginning of the industrial revolution, the ship keep relying on sails. But, as time passes, the adoption of the new resource and method of production push the Long Run Aggregate Supply. As more transportation was possible with steam-engine using coal.
That will be the case for an improvement in the method of production. Then, following the same example, a change in a better quality of the resource like, replacing the coal engines with diesel engine generates an improvement in the quantity supplied as it is more efficient and can be used
Answer:
45
Step-by-step explanation:
They add up to 90, so 90 - 45 = 45 degrees
Considering the area of a rectangle, it is found that the area of Bob's remaining plot of land is of 12.5 acres.
<h3>What is the area of a rectangle?</h3>
The area of a rectangle of length l and width w is given by the multiplication of these dimensions, that is:
A = lw.
In this problem, both the length and the width are divided in half, hence the proportion remaining is given by:
A = 0.5l x 0.5w = 0.25lw = 25% of the initial area.
Hence:
0.25 x 50 = 12.5.
The area of Bob's remaining plot of land is of 12.5 acres.
More can be learned about the area of a rectangle at brainly.com/question/10489198
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You can't solve it, but you can simplify it
-2/3 * (12c - 9) + 14c = -2/3*12c - (-2/3)*9 + 14c = -8c + 6 + 14 c = 6c + 6
