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
The answer is (24, 24).
Solution:
To find the point M that divides segment AB into 2:3 or 2/3 ratio, we determine k by writing the numerator of the ratio over the sum of the terms in the given ratio. Then, we calculate for the coordinates of point M from the slope of the line segment and the coordinates of A = (x1, y1) = (0, 0) and B = (x2, y2) = (60, 60) using the equation
(x, y) = (x1 + k(x2 - x1), y1 + k(y2 - y1) )
Therefore,
M = (x, y) = (0 + (2/5)(60 - 0), 0 + (2/5)(60 - 0)) = (24, 24)
Answer:
Dionne can fold 210 packing boxes in 60 minutes
Elia can fold 210 packing boxes in 70 minutes
Step-by-step explanation:
Dionne:
175 packing boxes in 50 minutes
Boxes folded per minute = Total packing boxes / number of minutes
= 175/50
= 3.5 packing boxes per minute
Number of minutes to fold 210 packing boxes = Total packing boxes / boxes packed per minute
= 210/3.5
= 60 minutes
Dionne can fold 210 packing boxes in 60 minutes
Elias:
120 packing boxes in 40 minutes
Boxes folded per minute = Total packing boxes / number of minutes
= 120/40
= 3 packing boxes per minute
Number of minutes to fold 210 packing boxes = Total packing boxes / boxes packed per minute
= 210/3
= 70 minutes
Elia can fold 210 packing boxes in 70 minutes
Number of boys enrolled is 105
<em><u>Solution:</u></em>
Given that, At a local preschool there is s as ratio of 3 boys to every 4 girls
There are 245 total preschoolers
Ratio of boys and girls = 3 : 4
Number of boys : number of girls = 3 : 4
Let the number of boys be 3x
Let the number of girls be 4x
Total number of preschoolers = 245
Therefore,
number of boys + number of girls = 245
3x + 4x = 245
7x = 245
x = 35
Number of boys = 3x = 3(35) = 105
Thus number of boys is 105