Hey there!
This grocer is mixing two kinds of coffee. I always love the smell of coffee!
We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.
Altogether there are 24 pounds of coffee he is selling.
The algebraic equation would be x + y = 24
At $1.30 per pound, he will make 24 * $1.30 = $31.2
So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?
The algebraic equation would be 1.15x + 2.75y = 31.2
We now have two equations :
x+y = 24
1.15x + 2.75y = 31.2
Substituting x= 24 -y in the second equation gives us
1.15(24-y) + 2.75y = 31.2
27.6 - 1.15y + 2.75y = 31.2
27.6 + 1.6y = 31.2
1.6y = 31.2 - 27.6
0.3y= 3.6
y= 2.25
x + y = 24
x + 2.25 = 24
x = 24 -2.25
x = 21.75
If y=2.25, then x= 21.75 as well.
So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.
~Done~
A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations".
Answer:
C) About $85
Step-by-step explanation:
Please consider the complete question.
Carl puts $1.10 in his penny bank every day in the month of July (31 days). His total saving at the end of June is $55.00. What is the best estimate at the end of July?
A) about $25
B) about $115
C) about $85
D) about $66
First of all, we will round $1.10 to nearest whole number and round 31 to nearest tens as:
So amount saved in 30 days would be 30 times $1.
Carl's savings at the end of July would be amount saved in June plus amount saved in July that is 
Therefore, the estimate for Carl's saving at the end of July is $85 and option C is the correct choice.
For 2/3 = 4/6 and 4/8 = 1/2
So we have
which, as the above manipulation showed, is equivalent to
