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?A)15
B)10
C)12

Answers

Answer 1

Answer: $x-chocolate\ worth\ 1,50\$ \ per\ pound\n y-chocolate\ worth\ 0,9\$\ per\ pound\n \n\n \left \{ {{x+y=30} \atop {30*1,10=x*1,50+y*0,9}} \right.\n\n \left \{ {{x=30-y} \atop {33=1,5x+0,9y}} \right. \n\n Using \ substitution\ method:\n\n33=1,5(30-y)+0,9y\n\n 33=45-1,5y+0,9y\n\n -12=-0,6y\ |:-0,6\n\n y=20\n x=10$

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I need to write the number 36 in expanded form
Find the value for x and y

Simplify 8(R + 6) - 2R

Answers

8(R + 6) - 2R,8R + 48 - 2R,The result is 6R + 48

A regular hexagon has sides of 5 feet. What is the area of the hexagon

Answers

$a=5ft\n\nArea\ of\ the\ haxagon:A=6\cdot(a^2\sqrt3)/(4)=(3a^2\sqrt3)/(2)\n\nA=(3\cdot5^2\sqrt3)/(2)=(3\cdot25\sqrt3)/(2)=(75\sqrt3)/(2)\ (ft^2)$

The polynomial 2x3 + 9x2 + 4x - 15 represents the volume in cubic feet of a rectangular holding tank at a fish hatchery. The depth of the tank is (x – 1) feet. The length is 13 feet.

Answers

Answer:

$(2x+5)(x+3)$

Step-by-step explanation:

The polynomial $2x^3 + 9x^2 + 4x - 15$ represents the volume in cubic feet of a rectangular holding tank at a fish hatchery

Use synthetic division to find the expressions representing the other sides of the tank

$(2x^3 + 9x^2 + 4x - 15)/(x-1)$

x-1=0 , add 1 on both sides

x=1, write all the coefficients and then divide by 1

In synthetic division, drop the first number

then multiply it with 1 and write it below the second number.

Add it and do the same

1 2 9 4 -15

0 2 11 15

-------------------------------------

2 11 15 0

Remainder is 0

Frame expression using the numbers 2 11 and 15

$2x^2+11x+15$

product is 2 times 15 = 30

sum is 11

6 times 5 is 30 , 6 plus 5 is 11

$(2x^2+6x)+(5x+15)$ , take out GCF from each group

$2x(x+3)+5(x+3)$

$(2x+5)(x+3)$

Using only pennies, nickels, dimes, and quarters, what is the smallest number of coins Freddie would need so he could pay any amount of money less than a dollar?

Answers

three quarters two dimes four pennies

What is the average of the following numbers: 3.2, 47/12,10/3?

Answers

Around 3.48 1/3 using the adding all the numbers and dividing by how many numbers there were

well,3.2=32/10
adding up all the fractions, we get
627/60
to find the average, we have to divide the fraction by 3, (as there are 3 fractions)
the answer is
3.484 approx

Factor the polynomial completely. x^2 + 3x + 4A) (x + 2)(x + 2)
B) (x - 1)(x + 4)
C) (x - 4)(x + 1)
D) cannot be factored