Answer:
A) 200 is to 300 dollars
B)150 is to 350 dollars
C) 250 is to 250
Step-by-step explanation:
Part A) We want to divide $500 in the ratio 2:3 using the unitary method.
The total ratio is 2+3=5.
This means one unit is 
=$100
Therefore $500 in the ratio 2:3 is 2*100=200 to 3*100=300
Part B) We want to divide $500 in the ratio 3:7 using the unitary method.
The total ratio is 3+7=10.
This means one unit is 
=$50
Therefore $500 in the ratio 3:7 is 3*50=150 to 7*50=350
Part C) We want to divide $500 in the ratio 1:1 using the unitary method.
The total ratio is 1+1=2.
This means one unit is 
=$250
Therefore $500 in the ratio 1:1 is 1*250=250 to 1*250=250
Answer: 78
Step-by-step explanation:
The rest of the answers are too small to be the length.
Answer:
Step-by-step explanation:
<em><u>Given:</u></em>
<em><u>Solve for:</u></em>
<em><u>Solution:</u></em>
(1) Let's move all of components that do not contain (our target) to the right side (notice the change of sign of 
from negative to positive):
(2) Let's divide both sides of equation by 4:
(3) Now, we simplify the left side:
This is the solution.
Hope this helps!
:)
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Define x :
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Let the smallest number be x.
The other two numbers will be x+1 and x+2.
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Construct equation :
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The sum of all 3 numbers is 78
⇒ x + x + 1 + x + 2 = 78
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Solve x :
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x + x + 1 + x + 2 = 78
3x + 3 = 78
3x = 78 - 3
3x = 75
x = 25
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Answer: Smallest number = 25
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Answer:
P(x) = x³ - 3x² - 5x + 15
Step-by-step explanation:
∵ The roots of the polynomial are -√5 , √5 , 3
∴ The polynomial has 3 factors:
(x - √5) , (x + √5) , (x - 3)
∴ P(x) = (x - √5)(x + √5)(x - 3)
= (x² + √5x - √5x - 5)(x - 3)
= (x² - 5)(x - 3) = x³ - 3x² - 5x + 15
∴ P(x) = x³ - 3x² - 5x + 15
