Answer:
Total number chocolate bars with almonds sold were approximately 66.34 and total number chocolate bars with walnuts sold were approximately 34.67.
Step-by-step explanation:
Let number chocolate bars with almonds be x
Also let number chocolate bars with walnuts be y
Given:
Number of chocolate bars with almonds that were sold one weekend was 3 less than 2 times the number of chocolate bars with walnuts.
Framing the above sentence in equation form we get;
Also given:
The number of chocolate bars with walnuts plus 4 times the number of chocolate bars with almonds was 300.
Framing the above sentence in equation form we get;
Now Substituting the value of x in above equation we get;
Now we will substitute the value of y in equation we get;
Hence, Total number chocolate bars with almonds sold were approximately 66.34 and total number chocolate bars with walnuts sold were approximately 34.67.
Answer:
B. 1/3 or 33.3%
Step-by-step explanation:
<em>H-</em> 1 ,2 ,3, 4, 5, 6
<em>T-</em> 1, 2, 3, 4, 5, 6
Multiples of <em>3:</em> 3, 6, 9, 12, etc..
<em>2/6 simplified is 1/3 </em>
So, the probability that the penny will land on heads and the number cube will land on a multiple of 3, is 1/3 or 33.3%
The simplified answer is 46/33.
Given:
A car dealer acquires a used car for $14,000, with terms FOB shipping point.
Transportation cost = $100
Shipping insurance = $120
Car import duties = $970
To find:
The total inventory costs assigned to the used car.
Solution:
We know that,
Inventory costs = Value of used car + Transportation cost + Shipping insurance + Car import duties
Inventory costs = $14,000 + $100 + $120 + $970
Inventory costs = $15,190
Therefore, total inventory costs assigned to the used car is $15,190.
To have roots as described, that means we have the following factors: From multiplicity 2 at x=1 has (x-1)^2 as its factor From multiplicity 1 at x=0 has x as a factor From multiplicity 1 at x = -4 has a factor of x+4 Putting these together we get that P(x) = A (x) (x+4) (x-1)^2 Multiply these out and find P(x) = A (x^2 + 4x) (x^2 - 2x + 1) A ( x^4 - 2x^3 + x^2 + 4x^3 - 8x^2 + 4x ) Combine like terms and find P(x) = A (x^4 + 2x^3 - 7x^2 + 4x) To find A, we use the point they gave us (5, 72) P(5) = A [ (5)^4 + 2(5)^3 - 7(5)^2 + 4(5) ] = 72 A [ 625 + 250 - 175 + 20 ] = 72 A [ 720 ] = 72 Divide both sides by 720 and find that A = 0.1 Final answer: P(x) = 0.1 ( x^4 + 2x^3 - 7x^2 + 4x) or P(x) = 0.1 x^4 + 0.2 x^3 - 0.7x^2 + 0.4x
