The filled in dot means inclusive and the hallow dot means exclusive. For an inequality, inclusive will mean it can be equal to that number as well as being less or greater than. Exclusive means the opposite.
In terms of x, the number line shows that -2 <= x < 2.
6 times as many as 7 is 42 is your comparison sentence
9514 1404 393
Answer:
x = 21
y = 25
Step-by-step explanation:
The diagonals of a quadrilateral bisect each other, so each half of a diagonal is congruent to the other half.
x -2 = 19
x = 21 . . . . add 2
__
y +1 = 26
y = 25 . . . . subtract 1
Answer:
x = 6.00 $/kg ----> almond
y = 3.5 $/kg ------> nut
Step-by-step explanation:
To find the price per kg of each product you first write the algebraic equations for the given relations:
x : price per kg of almond
y: price per kg of nut
Then, you have:
5x + 4y = 44.00 (1)
8x + 6y = 69.00 (2)
By using substitution you have from (1):
y = (44.00-5x)/(4) = 11.00 - (5/4)x
you replace this expression for y into (2):
8x+6[11.00-(5/4)x] = 69.00
8x+66.00-(15/2)x = 69.00
8x-(15/2)x = 69.00 - 66.00
(1/2)x = 3.00
x = 6.00 $/kg ----> almond
And for nut:
y = 11.00 - (5/4)x = 11.00 - (5/4)(6.00) = 3.5$/kg
y = 3.5 $/kg ------> nut
