MATHEMATICS HIGH SCHOOL

A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?If x represents the pounds of $1.50 chocolates used, then which of the following represents the pounds of 90¢ chocolates used?

x
30 - x
30

Answers

Answer 1
Answer:

Answer:

10 pounds of the $1.50 chocolate were used.

30 - x represents the number of pounds of the 0.90 chocolate used.

Step-by-step explanation:

30 * 1.10 = 1.5x + 0.9 (30 - x)

33 = 1.5x + 27 - 0.9x

0.6x = 6

x = 10
Answer 2
Answer:

Answer:

30 - x

Step-by-step explanation:

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True or False - Explain the graphs of two different direct variations can be parallel

Answers

False It can't be parallel It's gonna be intersecting or perpendicular

X-y+z=-4

3x+2y-z=5

-2x+3y-z=15

How do I solve this?

Answers

1)\ \ \ x-y+z=-4\ \ \ \Rightarrow\ \ \ z=-4-x+y\n\n2)\ \ \ 3x+2y-z=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y-(-4-x+y)=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y+4+x-y=5 \n.\ \ \ \ \Rightarrow\ \ 4x+y=1\n\n3)\ \ \ -2x+3y-z=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y-(-4-x+y)=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y+4+x-y=15\n.\ \ \ \ \Rightarrow\ \ -x+2y=11\n--------------------\n

z=-4-x+y\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and\n \left \{ {{4x+y=1\ \ \ \ } \atop {-x+2y=11\ /\cdot4}} \right. \n\n\left \{ {{4x+y=1\ \ \ \ } \atop {-4x+8y=44}} \right. \n-------\ny+8y=1+44\n9y=45\ /:9\ny=5\n\n-x+2y=11\ \ \ \Rightarrow\ \ \ x=2y-11\ \ \ \Rightarrow\ \ \ x=2\cdot5-11=-1\n\nz=-4-x+y=-4-(-1)+5=-4+1+5=2\n\nAns.\ x=-1\ \ \ and\ \ \ y=5\ \ \ and\ \ \ z=2

Which of the following is a perfect cube? 4 8 9 12

Answers

Out of those, 8 is the one that is a perfect cube. 
8 is a perfect cube . 2^3= 8
4 and 9 and perfect square and 12 is neither a perfect square nor a perfect cube.

Which statement is true if the degree of the numerator's polynomial function is greater than the degree of the denominator's polynomial function? A. it has one horizontal asymptote. B. it has one vertical asymtote. C. it has no horizontal asymptote. D. it has no vertical asymptote

Answers

If the degree of the numerator`s polynomial function is greater than the degree of the denominator`s polynomial function than:
   lim f ( x ) =  ∞
 x→∞
Answer:
C ) it hasno horizontal asymptote.  

Answer:

Option: C is the correct answer.

             C. It has no horizontal asymptote.

Step-by-step explanation:

We know that the horizontal asymptote of a function is obtained as follows:

1)

if the degree of the numerator and denominator are equal then we divide the coefficients of the higher degree term.

2)

If the degree of denominator term is greater than the numerator than the horizontal asymptote is the x-axis.

3)

Also if the numerator is of greater degree as compared to the denominator there are no horizontal asymptote.

Hence, in the given question we are given 3) case.

    Hence, there are no horizontal asymptote.

What is 15/27 as a percent

Answers

When you're finding a percent, the best thing to do is to divide 100 by the denominator.
100/27= 3.7
As you're looking for 15 lots, you then multiply this by 15.
3.7*15= 55.55
therefore, 15/27 as a percent is 55.55%
Hope this helps :) 

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Answers

Hello,this is your answer.
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